%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SWW478+2 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 11:01:44 AM UTC 2026
% Result : Theorem 11.13s 2.08s
% Output : CNFRefutation 11.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 63
% Syntax : Number of formulae : 965 ( 533 unt; 0 typ; 0 def)
% Number of atoms : 5395 (2621 equ; 0 cnn)
% Maximal formula atoms : 5 ( 5 avg)
% Number of connectives : 19456 (2342 ~;1455 |; 21 &;15476 @)
% ( 63 <=>; 99 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 797 ( 794 usr; 176 con; 0-5 aty)
% Number of variables : 3867 ( 0 ^;3840 !; 27 ?;3867 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_add,type,
add: $i ).
thf(tp_addr,type,
addr: $i > $i ).
thf(tp_addr_of_sys_xcpt,type,
addr_of_sys_xcpt: $i > $i ).
thf(tp_assigned,type,
assigned: $i > $i > $i ).
thf(tp_binOp_list_char,type,
binOp_list_char: $i > $i > $i > $i ).
thf(tp_binop,type,
binop: $i ).
thf(tp_block_list_char,type,
block_list_char: $i > $i > $i > $i ).
thf(tp_bool,type,
bool: $i > $i ).
thf(tp_bop,type,
bop: $i ).
thf(tp_cOMBB_1027621637t_char,type,
cOMBB_1027621637t_char: $i ).
thf(tp_cOMBB_1033454012t_char,type,
cOMBB_1033454012t_char: $i ).
thf(tp_cOMBB_1056322480ol_val,type,
cOMBB_1056322480ol_val: $i ).
thf(tp_cOMBB_1083177073on_val,type,
cOMBB_1083177073on_val: $i ).
thf(tp_cOMBB_1091123364t_char,type,
cOMBB_1091123364t_char: $i ).
thf(tp_cOMBB_1150072860ol_bop,type,
cOMBB_1150072860ol_bop: $i ).
thf(tp_cOMBB_1153617344on_val,type,
cOMBB_1153617344on_val: $i ).
thf(tp_cOMBB_1210977579on_val,type,
cOMBB_1210977579on_val: $i ).
thf(tp_cOMBB_1259202826on_val,type,
cOMBB_1259202826on_val: $i ).
thf(tp_cOMBB_1271765500t_char,type,
cOMBB_1271765500t_char: $i ).
thf(tp_cOMBB_1292453606on_val,type,
cOMBB_1292453606on_val: $i ).
thf(tp_cOMBB_1303934920on_val,type,
cOMBB_1303934920on_val: $i ).
thf(tp_cOMBB_1353907126al_val,type,
cOMBB_1353907126al_val: $i ).
thf(tp_cOMBB_1466662571on_val,type,
cOMBB_1466662571on_val: $i ).
thf(tp_cOMBB_1466889536on_val,type,
cOMBB_1466889536on_val: $i ).
thf(tp_cOMBB_1518282696on_val,type,
cOMBB_1518282696on_val: $i ).
thf(tp_cOMBB_1522540928on_val,type,
cOMBB_1522540928on_val: $i ).
thf(tp_cOMBB_1543649755on_val,type,
cOMBB_1543649755on_val: $i ).
thf(tp_cOMBB_1572981887on_val,type,
cOMBB_1572981887on_val: $i ).
thf(tp_cOMBB_1583755916ol_val,type,
cOMBB_1583755916ol_val: $i ).
thf(tp_cOMBB_171276332on_val,type,
cOMBB_171276332on_val: $i ).
thf(tp_cOMBB_1718324963ol_bop,type,
cOMBB_1718324963ol_bop: $i ).
thf(tp_cOMBB_1718333400on_val,type,
cOMBB_1718333400on_val: $i ).
thf(tp_cOMBB_1730140646ol_val,type,
cOMBB_1730140646ol_val: $i ).
thf(tp_cOMBB_1749175574t_char,type,
cOMBB_1749175574t_char: $i ).
thf(tp_cOMBB_1750801836on_val,type,
cOMBB_1750801836on_val: $i ).
thf(tp_cOMBB_1759207793on_val,type,
cOMBB_1759207793on_val: $i ).
thf(tp_cOMBB_1895512847t_char,type,
cOMBB_1895512847t_char: $i ).
thf(tp_cOMBB_1962662865on_val,type,
cOMBB_1962662865on_val: $i ).
thf(tp_cOMBB_2040779506on_val,type,
cOMBB_2040779506on_val: $i ).
thf(tp_cOMBB_2121771659al_val,type,
cOMBB_2121771659al_val: $i ).
thf(tp_cOMBB_223841226on_val,type,
cOMBB_223841226on_val: $i ).
thf(tp_cOMBB_263586492ol_val,type,
cOMBB_263586492ol_val: $i ).
thf(tp_cOMBB_292554190ol_bop,type,
cOMBB_292554190ol_bop: $i ).
thf(tp_cOMBB_315503848t_char,type,
cOMBB_315503848t_char: $i ).
thf(tp_cOMBB_338347573on_val,type,
cOMBB_338347573on_val: $i ).
thf(tp_cOMBB_364363975on_val,type,
cOMBB_364363975on_val: $i ).
thf(tp_cOMBB_383678192on_val,type,
cOMBB_383678192on_val: $i ).
thf(tp_cOMBB_448128005on_val,type,
cOMBB_448128005on_val: $i ).
thf(tp_cOMBB_466903633on_val,type,
cOMBB_466903633on_val: $i ).
thf(tp_cOMBB_486278459on_val,type,
cOMBB_486278459on_val: $i ).
thf(tp_cOMBB_507649738t_char,type,
cOMBB_507649738t_char: $i ).
thf(tp_cOMBB_558176806on_val,type,
cOMBB_558176806on_val: $i ).
thf(tp_cOMBB_572737002on_val,type,
cOMBB_572737002on_val: $i ).
thf(tp_cOMBB_635947099on_val,type,
cOMBB_635947099on_val: $i ).
thf(tp_cOMBB_660939282ol_val,type,
cOMBB_660939282ol_val: $i ).
thf(tp_cOMBB_672625589on_val,type,
cOMBB_672625589on_val: $i ).
thf(tp_cOMBB_678146046on_val,type,
cOMBB_678146046on_val: $i ).
thf(tp_cOMBB_73690268t_char,type,
cOMBB_73690268t_char: $i ).
thf(tp_cOMBB_740252943t_char,type,
cOMBB_740252943t_char: $i ).
thf(tp_cOMBB_819439237t_char,type,
cOMBB_819439237t_char: $i ).
thf(tp_cOMBB_840638159al_val,type,
cOMBB_840638159al_val: $i ).
thf(tp_cOMBB_877741809on_val,type,
cOMBB_877741809on_val: $i ).
thf(tp_cOMBB_97313278t_char,type,
cOMBB_97313278t_char: $i ).
thf(tp_cOMBB_bool_bool_val,type,
cOMBB_bool_bool_val: $i ).
thf(tp_cOMBC_2027949654l_bool,type,
cOMBC_2027949654l_bool: $i ).
thf(tp_cOMBC_832625297y_bool,type,
cOMBC_832625297y_bool: $i ).
thf(tp_cOMBS_570216337l_bool,type,
cOMBS_570216337l_bool: $i > $i > $i ).
thf(tp_c_Expr_Obop_OEq,type,
c_Expr_Obop_OEq: $i ).
thf(tp_cast_list_char,type,
cast_list_char: $i > $i > $i ).
thf(tp_class,type,
class: $i > $i ).
thf(tp_classCast,type,
classCast: $i ).
thf(tp_conf_P373316194t_char,type,
conf_P373316194t_char: $i > $i > $i > $i > $i ).
thf(tp_d_list_char,type,
d_list_char: $i > $i > $i ).
thf(tp_dom_Pr122328314r_bool,type,
dom_Pr122328314r_bool: $i > $i ).
thf(tp_dom_Pr1286015283al_val,type,
dom_Pr1286015283al_val: $i > $i ).
thf(tp_dom_Pr1291804355on_val,type,
dom_Pr1291804355on_val: $i > $i ).
thf(tp_dom_Pr1305783658val_ty,type,
dom_Pr1305783658val_ty: $i > $i ).
thf(tp_dom_Pr1523486698val_ty,type,
dom_Pr1523486698val_ty: $i > $i ).
thf(tp_dom_Pr1536367242val_ty,type,
dom_Pr1536367242val_ty: $i > $i ).
thf(tp_dom_Pr1623760025val_ty,type,
dom_Pr1623760025val_ty: $i > $i ).
thf(tp_dom_Pr1770328362r_bool,type,
dom_Pr1770328362r_bool: $i > $i ).
thf(tp_dom_Pr1854948307al_val,type,
dom_Pr1854948307al_val: $i > $i ).
thf(tp_dom_Pr1989649490on_val,type,
dom_Pr1989649490on_val: $i > $i ).
thf(tp_dom_Pr364577827on_val,type,
dom_Pr364577827on_val: $i > $i ).
thf(tp_dom_Pr482007707r_bool,type,
dom_Pr482007707r_bool: $i > $i ).
thf(tp_dom_Pr548306299r_bool,type,
dom_Pr548306299r_bool: $i > $i ).
thf(tp_dom_Pr585943145val_ty,type,
dom_Pr585943145val_ty: $i > $i ).
thf(tp_dom_Pr594962099al_val,type,
dom_Pr594962099al_val: $i > $i ).
thf(tp_dom_Pr695701035ar_val,type,
dom_Pr695701035ar_val: $i > $i ).
thf(tp_dom_Pr713105403r_bool,type,
dom_Pr713105403r_bool: $i > $i ).
thf(tp_dom_Pr717813794on_val,type,
dom_Pr717813794on_val: $i > $i ).
thf(tp_dom_Pr805691811on_val,type,
dom_Pr805691811on_val: $i > $i ).
thf(tp_dom_Pr881307234al_val,type,
dom_Pr881307234al_val: $i > $i ).
thf(tp_dom_Pr934474290al_val,type,
dom_Pr934474290al_val: $i > $i ).
thf(tp_dom_li2046124138on_val,type,
dom_li2046124138on_val: $i > $i ).
thf(tp_dom_li347256130r_bool,type,
dom_li347256130r_bool: $i > $i ).
thf(tp_dom_list_char_ty,type,
dom_list_char_ty: $i > $i ).
thf(tp_dom_list_char_val,type,
dom_list_char_val: $i > $i ).
thf(tp_dom_na1091370954r_bool,type,
dom_na1091370954r_bool: $i > $i ).
thf(tp_dom_na996029170on_val,type,
dom_na996029170on_val: $i > $i ).
thf(tp_dom_nat_ty,type,
dom_nat_ty: $i > $i ).
thf(tp_dom_nat_val,type,
dom_nat_val: $i > $i ).
thf(tp_e,type,
e: $i ).
thf(tp_e_a,type,
e_a: $i ).
thf(tp_ea,type,
ea: $i ).
thf(tp_eval,type,
eval: $i > $i > $i > $i ).
thf(tp_fAcc_list_char,type,
fAcc_list_char: $i > $i > $i > $i ).
thf(tp_fAss_list_char,type,
fAss_list_char: $i > $i > $i > $i > $i ).
thf(tp_fFalse,type,
fFalse: $i ).
thf(tp_fTrue,type,
fTrue: $i ).
thf(tp_fconj,type,
fconj: $i ).
thf(tp_fequal_val,type,
fequal_val: $i ).
thf(tp_final_list_char,type,
final_list_char: $i > $i ).
thf(tp_fun_up106272779on_val,type,
fun_up106272779on_val: $i > $i > $i > $i ).
thf(tp_fun_up1114451667r_bool,type,
fun_up1114451667r_bool: $i > $i > $i > $i ).
thf(tp_fun_up1149430426on_val,type,
fun_up1149430426on_val: $i > $i > $i > $i ).
thf(tp_fun_up1177725947on_val,type,
fun_up1177725947on_val: $i > $i > $i > $i ).
thf(tp_fun_up1250448779on_val,type,
fun_up1250448779on_val: $i > $i > $i > $i ).
thf(tp_fun_up1256311364r_bool,type,
fun_up1256311364r_bool: $i > $i > $i > $i ).
thf(tp_fun_up1281163108r_bool,type,
fun_up1281163108r_bool: $i > $i > $i > $i ).
thf(tp_fun_up1370188258on_val,type,
fun_up1370188258on_val: $i > $i > $i > $i ).
thf(tp_fun_up160134978ion_ty,type,
fun_up160134978ion_ty: $i > $i > $i > $i ).
thf(tp_fun_up1686981986r_bool,type,
fun_up1686981986r_bool: $i > $i > $i > $i ).
thf(tp_fun_up1836969043r_bool,type,
fun_up1836969043r_bool: $i > $i > $i > $i ).
thf(tp_fun_up1995148684on_val,type,
fun_up1995148684on_val: $i > $i > $i > $i ).
thf(tp_fun_up2041264236on_val,type,
fun_up2041264236on_val: $i > $i > $i > $i ).
thf(tp_fun_up204312361on_val,type,
fun_up204312361on_val: $i > $i > $i > $i ).
thf(tp_fun_up252238218on_val,type,
fun_up252238218on_val: $i > $i > $i > $i ).
thf(tp_fun_up2650881on_val,type,
fun_up2650881on_val: $i > $i > $i > $i ).
thf(tp_fun_up307314898on_val,type,
fun_up307314898on_val: $i > $i > $i > $i ).
thf(tp_fun_up359791042ion_ty,type,
fun_up359791042ion_ty: $i > $i > $i > $i ).
thf(tp_fun_up387678665r_bool,type,
fun_up387678665r_bool: $i > $i > $i > $i ).
thf(tp_fun_up421284275ion_ty,type,
fun_up421284275ion_ty: $i > $i > $i > $i ).
thf(tp_fun_up424764369ion_ty,type,
fun_up424764369ion_ty: $i > $i > $i > $i ).
thf(tp_fun_up430376729ion_ty,type,
fun_up430376729ion_ty: $i > $i > $i > $i ).
thf(tp_fun_up576032467ion_ty,type,
fun_up576032467ion_ty: $i > $i > $i > $i ).
thf(tp_fun_up638349240ion_ty,type,
fun_up638349240ion_ty: $i > $i > $i > $i ).
thf(tp_fun_up683731323on_val,type,
fun_up683731323on_val: $i > $i > $i > $i ).
thf(tp_fun_up768537841on_val,type,
fun_up768537841on_val: $i > $i > $i > $i ).
thf(tp_fun_up846528380on_val,type,
fun_up846528380on_val: $i > $i > $i > $i ).
thf(tp_fun_up958248092on_val,type,
fun_up958248092on_val: $i > $i > $i > $i ).
thf(tp_fun_up965897386r_bool,type,
fun_up965897386r_bool: $i > $i > $i > $i ).
thf(tp_hAPP_P1020760203t_bool,type,
hAPP_P1020760203t_bool: $i > $i > $i ).
thf(tp_hAPP_P1066308164on_val,type,
hAPP_P1066308164on_val: $i > $i > $i ).
thf(tp_hAPP_P1067836940al_val,type,
hAPP_P1067836940al_val: $i > $i > $i ).
thf(tp_hAPP_P107417220t_bool,type,
hAPP_P107417220t_bool: $i > $i > $i ).
thf(tp_hAPP_P1116729363l_bool,type,
hAPP_P1116729363l_bool: $i > $i > $i ).
thf(tp_hAPP_P1120259733t_bool,type,
hAPP_P1120259733t_bool: $i > $i > $i ).
thf(tp_hAPP_P1134042693l_bool,type,
hAPP_P1134042693l_bool: $i > $i > $i ).
thf(tp_hAPP_P1138140810l_bool,type,
hAPP_P1138140810l_bool: $i > $i > $i ).
thf(tp_hAPP_P1167611309r_bool,type,
hAPP_P1167611309r_bool: $i > $i > $i ).
thf(tp_hAPP_P121427050ion_ty,type,
hAPP_P121427050ion_ty: $i > $i > $i ).
thf(tp_hAPP_P1228500987ion_ty,type,
hAPP_P1228500987ion_ty: $i > $i > $i ).
thf(tp_hAPP_P1230564778on_val,type,
hAPP_P1230564778on_val: $i > $i > $i ).
thf(tp_hAPP_P1232134614l_bool,type,
hAPP_P1232134614l_bool: $i > $i > $i ).
thf(tp_hAPP_P1235399154l_bool,type,
hAPP_P1235399154l_bool: $i > $i > $i ).
thf(tp_hAPP_P1308752439r_bool,type,
hAPP_P1308752439r_bool: $i > $i > $i ).
thf(tp_hAPP_P1354839595l_bool,type,
hAPP_P1354839595l_bool: $i > $i > $i ).
thf(tp_hAPP_P1354850246l_bool,type,
hAPP_P1354850246l_bool: $i > $i > $i ).
thf(tp_hAPP_P1366871678r_bool,type,
hAPP_P1366871678r_bool: $i > $i > $i ).
thf(tp_hAPP_P1374609397l_bool,type,
hAPP_P1374609397l_bool: $i > $i > $i ).
thf(tp_hAPP_P1384137393r_bool,type,
hAPP_P1384137393r_bool: $i > $i > $i ).
thf(tp_hAPP_P1389845689l_bool,type,
hAPP_P1389845689l_bool: $i > $i > $i ).
thf(tp_hAPP_P142343914ion_ty,type,
hAPP_P142343914ion_ty: $i > $i > $i ).
thf(tp_hAPP_P147338735on_val,type,
hAPP_P147338735on_val: $i > $i > $i ).
thf(tp_hAPP_P1501097100r_bool,type,
hAPP_P1501097100r_bool: $i > $i > $i ).
thf(tp_hAPP_P1510515380on_val,type,
hAPP_P1510515380on_val: $i > $i > $i ).
thf(tp_hAPP_P1510984930r_bool,type,
hAPP_P1510984930r_bool: $i > $i > $i ).
thf(tp_hAPP_P1529692155r_bool,type,
hAPP_P1529692155r_bool: $i > $i > $i ).
thf(tp_hAPP_P1578317968ion_ty,type,
hAPP_P1578317968ion_ty: $i > $i > $i ).
thf(tp_hAPP_P1591874724l_bool,type,
hAPP_P1591874724l_bool: $i > $i > $i ).
thf(tp_hAPP_P1594728115on_val,type,
hAPP_P1594728115on_val: $i > $i > $i ).
thf(tp_hAPP_P159683425l_bool,type,
hAPP_P159683425l_bool: $i > $i > $i ).
thf(tp_hAPP_P1605474468l_bool,type,
hAPP_P1605474468l_bool: $i > $i > $i ).
thf(tp_hAPP_P1637755428l_bool,type,
hAPP_P1637755428l_bool: $i > $i > $i ).
thf(tp_hAPP_P1638898323l_bool,type,
hAPP_P1638898323l_bool: $i > $i > $i ).
thf(tp_hAPP_P1696703717l_bool,type,
hAPP_P1696703717l_bool: $i > $i > $i ).
thf(tp_hAPP_P1708370145l_bool,type,
hAPP_P1708370145l_bool: $i > $i > $i ).
thf(tp_hAPP_P171414854l_bool,type,
hAPP_P171414854l_bool: $i > $i > $i ).
thf(tp_hAPP_P1717724164t_bool,type,
hAPP_P1717724164t_bool: $i > $i > $i ).
thf(tp_hAPP_P1760219823on_val,type,
hAPP_P1760219823on_val: $i > $i > $i ).
thf(tp_hAPP_P177222514l_bool,type,
hAPP_P177222514l_bool: $i > $i > $i ).
thf(tp_hAPP_P1776198677on_val,type,
hAPP_P1776198677on_val: $i > $i > $i ).
thf(tp_hAPP_P1788447177on_val,type,
hAPP_P1788447177on_val: $i > $i > $i ).
thf(tp_hAPP_P1802178130t_bool,type,
hAPP_P1802178130t_bool: $i > $i > $i ).
thf(tp_hAPP_P1815899455l_bool,type,
hAPP_P1815899455l_bool: $i > $i > $i ).
thf(tp_hAPP_P1826803705l_bool,type,
hAPP_P1826803705l_bool: $i > $i > $i ).
thf(tp_hAPP_P1870962205on_val,type,
hAPP_P1870962205on_val: $i > $i > $i ).
thf(tp_hAPP_P1882136222l_bool,type,
hAPP_P1882136222l_bool: $i > $i > $i ).
thf(tp_hAPP_P1883022279on_val,type,
hAPP_P1883022279on_val: $i > $i > $i ).
thf(tp_hAPP_P1886180715on_val,type,
hAPP_P1886180715on_val: $i > $i > $i ).
thf(tp_hAPP_P1936714534on_val,type,
hAPP_P1936714534on_val: $i > $i > $i ).
thf(tp_hAPP_P193916115t_char,type,
hAPP_P193916115t_char: $i > $i > $i ).
thf(tp_hAPP_P1953518277l_bool,type,
hAPP_P1953518277l_bool: $i > $i > $i ).
thf(tp_hAPP_P1971671882l_bool,type,
hAPP_P1971671882l_bool: $i > $i > $i ).
thf(tp_hAPP_P1988097815l_bool,type,
hAPP_P1988097815l_bool: $i > $i > $i ).
thf(tp_hAPP_P1988153107l_bool,type,
hAPP_P1988153107l_bool: $i > $i > $i ).
thf(tp_hAPP_P1989760379r_bool,type,
hAPP_P1989760379r_bool: $i > $i > $i ).
thf(tp_hAPP_P2013623467al_val,type,
hAPP_P2013623467al_val: $i > $i > $i ).
thf(tp_hAPP_P2024243179on_val,type,
hAPP_P2024243179on_val: $i > $i > $i ).
thf(tp_hAPP_P2034098401l_bool,type,
hAPP_P2034098401l_bool: $i > $i > $i ).
thf(tp_hAPP_P2074628057on_val,type,
hAPP_P2074628057on_val: $i > $i > $i ).
thf(tp_hAPP_P2083594489on_val,type,
hAPP_P2083594489on_val: $i > $i > $i ).
thf(tp_hAPP_P2094403585on_val,type,
hAPP_P2094403585on_val: $i > $i > $i ).
thf(tp_hAPP_P2111013316on_val,type,
hAPP_P2111013316on_val: $i > $i > $i ).
thf(tp_hAPP_P2143028400r_bool,type,
hAPP_P2143028400r_bool: $i > $i > $i ).
thf(tp_hAPP_P282169671l_bool,type,
hAPP_P282169671l_bool: $i > $i > $i ).
thf(tp_hAPP_P292217386t_bool,type,
hAPP_P292217386t_bool: $i > $i > $i ).
thf(tp_hAPP_P294971854on_val,type,
hAPP_P294971854on_val: $i > $i > $i ).
thf(tp_hAPP_P323054207l_bool,type,
hAPP_P323054207l_bool: $i > $i > $i ).
thf(tp_hAPP_P33140378l_bool,type,
hAPP_P33140378l_bool: $i > $i > $i ).
thf(tp_hAPP_P343853784r_bool,type,
hAPP_P343853784r_bool: $i > $i > $i ).
thf(tp_hAPP_P39917866l_bool,type,
hAPP_P39917866l_bool: $i > $i > $i ).
thf(tp_hAPP_P416784693l_bool,type,
hAPP_P416784693l_bool: $i > $i > $i ).
thf(tp_hAPP_P449474095r_bool,type,
hAPP_P449474095r_bool: $i > $i > $i ).
thf(tp_hAPP_P50259953ion_ty,type,
hAPP_P50259953ion_ty: $i > $i > $i ).
thf(tp_hAPP_P509577523on_val,type,
hAPP_P509577523on_val: $i > $i > $i ).
thf(tp_hAPP_P536162016l_bool,type,
hAPP_P536162016l_bool: $i > $i > $i ).
thf(tp_hAPP_P553120288l_bool,type,
hAPP_P553120288l_bool: $i > $i > $i ).
thf(tp_hAPP_P576112536r_bool,type,
hAPP_P576112536r_bool: $i > $i > $i ).
thf(tp_hAPP_P584663426r_bool,type,
hAPP_P584663426r_bool: $i > $i > $i ).
thf(tp_hAPP_P595502227l_bool,type,
hAPP_P595502227l_bool: $i > $i > $i ).
thf(tp_hAPP_P599819262r_bool,type,
hAPP_P599819262r_bool: $i > $i > $i ).
thf(tp_hAPP_P604205461on_val,type,
hAPP_P604205461on_val: $i > $i > $i ).
thf(tp_hAPP_P665696794l_bool,type,
hAPP_P665696794l_bool: $i > $i > $i ).
thf(tp_hAPP_P678729081l_bool,type,
hAPP_P678729081l_bool: $i > $i > $i ).
thf(tp_hAPP_P693658169l_bool,type,
hAPP_P693658169l_bool: $i > $i > $i ).
thf(tp_hAPP_P698243685l_bool,type,
hAPP_P698243685l_bool: $i > $i > $i ).
thf(tp_hAPP_P712854582t_bool,type,
hAPP_P712854582t_bool: $i > $i > $i ).
thf(tp_hAPP_P722986275on_val,type,
hAPP_P722986275on_val: $i > $i > $i ).
thf(tp_hAPP_P731332193l_bool,type,
hAPP_P731332193l_bool: $i > $i > $i ).
thf(tp_hAPP_P733122084l_bool,type,
hAPP_P733122084l_bool: $i > $i > $i ).
thf(tp_hAPP_P789556885on_val,type,
hAPP_P789556885on_val: $i > $i > $i ).
thf(tp_hAPP_P808259092l_bool,type,
hAPP_P808259092l_bool: $i > $i > $i ).
thf(tp_hAPP_P87436745l_bool,type,
hAPP_P87436745l_bool: $i > $i > $i ).
thf(tp_hAPP_P89750179on_val,type,
hAPP_P89750179on_val: $i > $i > $i ).
thf(tp_hAPP_P912976383l_bool,type,
hAPP_P912976383l_bool: $i > $i > $i ).
thf(tp_hAPP_P921015288l_bool,type,
hAPP_P921015288l_bool: $i > $i > $i ).
thf(tp_hAPP_P926760609r_bool,type,
hAPP_P926760609r_bool: $i > $i > $i ).
thf(tp_hAPP_P929466802al_val,type,
hAPP_P929466802al_val: $i > $i > $i ).
thf(tp_hAPP_P929938951l_bool,type,
hAPP_P929938951l_bool: $i > $i > $i ).
thf(tp_hAPP_P930111162on_val,type,
hAPP_P930111162on_val: $i > $i > $i ).
thf(tp_hAPP_P943837928l_bool,type,
hAPP_P943837928l_bool: $i > $i > $i ).
thf(tp_hAPP_P947230058t_bool,type,
hAPP_P947230058t_bool: $i > $i > $i ).
thf(tp_hAPP_b108134598l_bool,type,
hAPP_b108134598l_bool: $i > $i > $i ).
thf(tp_hAPP_b1229254591al_val,type,
hAPP_b1229254591al_val: $i > $i > $i ).
thf(tp_hAPP_b1434170967l_bool,type,
hAPP_b1434170967l_bool: $i > $i > $i ).
thf(tp_hAPP_b1505407649r_bool,type,
hAPP_b1505407649r_bool: $i > $i > $i ).
thf(tp_hAPP_b1930329414l_bool,type,
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thf(tp_hAPP_b420404024on_val,type,
hAPP_b420404024on_val: $i > $i > $i ).
thf(tp_hAPP_b589554111l_bool,type,
hAPP_b589554111l_bool: $i > $i > $i ).
thf(tp_hAPP_b617716791t_bool,type,
hAPP_b617716791t_bool: $i > $i > $i ).
thf(tp_hAPP_b653060073l_bool,type,
hAPP_b653060073l_bool: $i > $i > $i ).
thf(tp_hAPP_b940299656l_bool,type,
hAPP_b940299656l_bool: $i > $i > $i ).
thf(tp_hAPP_b97269396l_bool,type,
hAPP_b97269396l_bool: $i > $i > $i ).
thf(tp_hAPP_bool_bool,type,
hAPP_bool_bool: $i > $i > $i ).
thf(tp_hAPP_e108155315on_val,type,
hAPP_e108155315on_val: $i > $i > $i ).
thf(tp_hAPP_e1372786563l_bool,type,
hAPP_e1372786563l_bool: $i > $i > $i ).
thf(tp_hAPP_e1610291612l_bool,type,
hAPP_e1610291612l_bool: $i > $i > $i ).
thf(tp_hAPP_e1659493427on_val,type,
hAPP_e1659493427on_val: $i > $i > $i ).
thf(tp_hAPP_e1833980889l_bool,type,
hAPP_e1833980889l_bool: $i > $i > $i ).
thf(tp_hAPP_e2019828964l_bool,type,
hAPP_e2019828964l_bool: $i > $i > $i ).
thf(tp_hAPP_e2128781980r_bool,type,
hAPP_e2128781980r_bool: $i > $i > $i ).
thf(tp_hAPP_e41879804t_bool,type,
hAPP_e41879804t_bool: $i > $i > $i ).
thf(tp_hAPP_e500528395l_bool,type,
hAPP_e500528395l_bool: $i > $i > $i ).
thf(tp_hAPP_e592495499l_bool,type,
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thf(tp_hAPP_f1000689699l_bool,type,
hAPP_f1000689699l_bool: $i > $i > $i ).
thf(tp_hAPP_f1001225811y_bool,type,
hAPP_f1001225811y_bool: $i > $i > $i ).
thf(tp_hAPP_f10074679l_bool,type,
hAPP_f10074679l_bool: $i > $i > $i ).
thf(tp_hAPP_f1008932791l_bool,type,
hAPP_f1008932791l_bool: $i > $i > $i ).
thf(tp_hAPP_f1024478733l_bool,type,
hAPP_f1024478733l_bool: $i > $i > $i ).
thf(tp_hAPP_f1033709212l_bool,type,
hAPP_f1033709212l_bool: $i > $i > $i ).
thf(tp_hAPP_f1043869573l_bool,type,
hAPP_f1043869573l_bool: $i > $i > $i ).
thf(tp_hAPP_f1046102489l_bool,type,
hAPP_f1046102489l_bool: $i > $i > $i ).
thf(tp_hAPP_f1048754599r_bool,type,
hAPP_f1048754599r_bool: $i > $i > $i ).
thf(tp_hAPP_f104936073r_bool,type,
hAPP_f104936073r_bool: $i > $i > $i ).
thf(tp_hAPP_f1050935001l_bool,type,
hAPP_f1050935001l_bool: $i > $i > $i ).
thf(tp_hAPP_f1056413453r_bool,type,
hAPP_f1056413453r_bool: $i > $i > $i ).
thf(tp_hAPP_f1074020887l_bool,type,
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thf(tp_hAPP_f1090181127on_val,type,
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thf(tp_hAPP_f10956301l_bool,type,
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thf(tp_hAPP_f1136596083l_bool,type,
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thf(tp_hAPP_f1138830003l_bool,type,
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thf(tp_hAPP_f1140566725l_bool,type,
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thf(tp_hAPP_f1145256474l_bool,type,
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thf(tp_hAPP_f1145600492l_bool,type,
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thf(tp_hAPP_f1150574413l_bool,type,
hAPP_f1150574413l_bool: $i > $i > $i ).
thf(tp_hAPP_f1153851723l_bool,type,
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thf(tp_hAPP_f1157264807l_bool,type,
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thf(tp_hAPP_f1175813647l_bool,type,
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thf(tp_hAPP_f1181212006al_val,type,
hAPP_f1181212006al_val: $i > $i > $i ).
thf(tp_hAPP_f1182128795l_bool,type,
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thf(tp_hAPP_f118445774t_bool,type,
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thf(tp_hAPP_f1203122723t_bool,type,
hAPP_f1203122723t_bool: $i > $i > $i ).
thf(tp_hAPP_f1203390411l_bool,type,
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thf(tp_hAPP_f1213370163y_bool,type,
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thf(tp_hAPP_f1233687287l_bool,type,
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thf(tp_hAPP_f1241216909l_bool,type,
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thf(tp_hAPP_f1261046903l_bool,type,
hAPP_f1261046903l_bool: $i > $i > $i ).
thf(tp_hAPP_f1271281289on_val,type,
hAPP_f1271281289on_val: $i > $i > $i ).
thf(tp_hAPP_f1276548047l_bool,type,
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thf(tp_hAPP_f1301559543l_bool,type,
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thf(tp_hAPP_f1308714617l_bool,type,
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thf(tp_hAPP_f1309113673on_val,type,
hAPP_f1309113673on_val: $i > $i > $i ).
thf(tp_hAPP_f1326058377l_bool,type,
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thf(tp_hAPP_f1336948941l_bool,type,
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thf(tp_hAPP_f1341053989l_bool,type,
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thf(tp_hAPP_f1342895119l_bool,type,
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thf(tp_hAPP_f1353090281l_bool,type,
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thf(tp_hAPP_f1363667773l_bool,type,
hAPP_f1363667773l_bool: $i > $i > $i ).
thf(tp_hAPP_f1371002581r_bool,type,
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thf(tp_hAPP_f1399435963l_bool,type,
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thf(tp_hAPP_f1400730257l_bool,type,
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thf(tp_hAPP_f1432609211l_bool,type,
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thf(tp_hAPP_f1438732387l_bool,type,
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thf(tp_hAPP_f1440866903l_bool,type,
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thf(tp_hAPP_f1443410953l_bool,type,
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thf(tp_hAPP_f1452292669l_bool,type,
hAPP_f1452292669l_bool: $i > $i > $i ).
thf(tp_hAPP_f1491134931r_bool,type,
hAPP_f1491134931r_bool: $i > $i > $i ).
thf(tp_hAPP_f1492320500l_bool,type,
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thf(tp_hAPP_f1508793015l_bool,type,
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thf(tp_hAPP_f151189509l_bool,type,
hAPP_f151189509l_bool: $i > $i > $i ).
thf(tp_hAPP_f1520199827on_val,type,
hAPP_f1520199827on_val: $i > $i > $i ).
thf(tp_hAPP_f1523875321l_bool,type,
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thf(tp_hAPP_f1534412387l_bool,type,
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thf(tp_hAPP_f1550515381l_bool,type,
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thf(tp_hAPP_f15579599t_char,type,
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thf(tp_hAPP_f1560238713l_bool,type,
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thf(tp_hAPP_f1561329507l_bool,type,
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thf(tp_hAPP_f1572306499l_bool,type,
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thf(tp_hAPP_f1589017327l_bool,type,
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thf(tp_hAPP_f1590577855l_bool,type,
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thf(tp_hAPP_f1591648613l_bool,type,
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thf(tp_hAPP_f1608665167l_bool,type,
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thf(tp_hAPP_f1608921212l_bool,type,
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thf(tp_hAPP_f1614126606on_val,type,
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thf(tp_hAPP_f1617787571l_bool,type,
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thf(tp_hAPP_f1623341439r_bool,type,
hAPP_f1623341439r_bool: $i > $i > $i ).
thf(tp_hAPP_f1628326017t_char,type,
hAPP_f1628326017t_char: $i > $i > $i ).
thf(tp_hAPP_f1631509563l_bool,type,
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thf(tp_hAPP_f1633332187r_bool,type,
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thf(tp_hAPP_f1650812869r_bool,type,
hAPP_f1650812869r_bool: $i > $i > $i ).
thf(tp_hAPP_f1661550453l_bool,type,
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thf(tp_hAPP_f1683814075r_bool,type,
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thf(tp_hAPP_f1685556710r_bool,type,
hAPP_f1685556710r_bool: $i > $i > $i ).
thf(tp_hAPP_f1695781849al_val,type,
hAPP_f1695781849al_val: $i > $i > $i ).
thf(tp_hAPP_f1706021209r_bool,type,
hAPP_f1706021209r_bool: $i > $i > $i ).
thf(tp_hAPP_f1712766199l_bool,type,
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thf(tp_hAPP_f1715346603l_bool,type,
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thf(tp_hAPP_f1724962851l_bool,type,
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thf(tp_hAPP_f1725502637l_bool,type,
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thf(tp_hAPP_f1727192346on_val,type,
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thf(tp_hAPP_f1734879897l_bool,type,
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thf(tp_hAPP_f1742268533r_bool,type,
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thf(tp_hAPP_f1760682521l_bool,type,
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thf(tp_hAPP_f176769507l_bool,type,
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thf(tp_hAPP_f1777594159l_bool,type,
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thf(tp_hAPP_f1779904442al_val,type,
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thf(tp_hAPP_f1803975093l_bool,type,
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thf(tp_hAPP_f1804599279l_bool,type,
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thf(tp_hAPP_f181262431l_bool,type,
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thf(tp_hAPP_f1817272339l_bool,type,
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thf(tp_hAPP_f1817800029l_bool,type,
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thf(tp_hAPP_f1818217r_bool,type,
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thf(tp_hAPP_f1825030711l_bool,type,
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thf(tp_hAPP_f1830813581l_bool,type,
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thf(tp_hAPP_f1840640125on_val,type,
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thf(tp_hAPP_f1849790461on_val,type,
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thf(tp_hAPP_f1857971237t_bool,type,
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thf(tp_hAPP_f1859015701l_bool,type,
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thf(tp_hAPP_f1861125939r_bool,type,
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thf(tp_hAPP_f1863694447l_bool,type,
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thf(tp_hAPP_f1926378906on_val,type,
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thf(tp_hAPP_f1927197746t_bool,type,
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thf(tp_hAPP_f1928083410l_bool,type,
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thf(tp_hAPP_f192981486l_bool,type,
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thf(tp_hAPP_f1930574389l_bool,type,
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thf(tp_hAPP_f1935223905l_bool,type,
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thf(tp_hAPP_f1936466825l_bool,type,
hAPP_f1936466825l_bool: $i > $i > $i ).
thf(tp_hAPP_f1937467848l_bool,type,
hAPP_f1937467848l_bool: $i > $i > $i ).
thf(tp_hAPP_f193834907l_bool,type,
hAPP_f193834907l_bool: $i > $i > $i ).
thf(tp_hAPP_f1939255213on_val,type,
hAPP_f1939255213on_val: $i > $i > $i ).
thf(tp_hAPP_f195923946l_bool,type,
hAPP_f195923946l_bool: $i > $i > $i ).
thf(tp_hAPP_f1965627013l_bool,type,
hAPP_f1965627013l_bool: $i > $i > $i ).
thf(tp_hAPP_f1973249537r_bool,type,
hAPP_f1973249537r_bool: $i > $i > $i ).
thf(tp_hAPP_f1977633121l_bool,type,
hAPP_f1977633121l_bool: $i > $i > $i ).
thf(tp_hAPP_f1992719827l_bool,type,
hAPP_f1992719827l_bool: $i > $i > $i ).
thf(tp_hAPP_f1996106275l_bool,type,
hAPP_f1996106275l_bool: $i > $i > $i ).
thf(tp_hAPP_f2011777102l_bool,type,
hAPP_f2011777102l_bool: $i > $i > $i ).
thf(tp_hAPP_f2020099865l_bool,type,
hAPP_f2020099865l_bool: $i > $i > $i ).
thf(tp_hAPP_f2032347769l_bool,type,
hAPP_f2032347769l_bool: $i > $i > $i ).
thf(tp_hAPP_f2039548047l_bool,type,
hAPP_f2039548047l_bool: $i > $i > $i ).
thf(tp_hAPP_f2044570451l_bool,type,
hAPP_f2044570451l_bool: $i > $i > $i ).
thf(tp_hAPP_f204556415on_val,type,
hAPP_f204556415on_val: $i > $i > $i ).
thf(tp_hAPP_f204771371l_bool,type,
hAPP_f204771371l_bool: $i > $i > $i ).
thf(tp_hAPP_f2048668297l_bool,type,
hAPP_f2048668297l_bool: $i > $i > $i ).
thf(tp_hAPP_f2051274555l_bool,type,
hAPP_f2051274555l_bool: $i > $i > $i ).
thf(tp_hAPP_f2052660463l_bool,type,
hAPP_f2052660463l_bool: $i > $i > $i ).
thf(tp_hAPP_f2057883639l_bool,type,
hAPP_f2057883639l_bool: $i > $i > $i ).
thf(tp_hAPP_f2060496320y_bool,type,
hAPP_f2060496320y_bool: $i > $i > $i ).
thf(tp_hAPP_f2061154754l_bool,type,
hAPP_f2061154754l_bool: $i > $i > $i ).
thf(tp_hAPP_f2092385043l_bool,type,
hAPP_f2092385043l_bool: $i > $i > $i ).
thf(tp_hAPP_f2106552235on_val,type,
hAPP_f2106552235on_val: $i > $i > $i ).
thf(tp_hAPP_f21084934l_bool,type,
hAPP_f21084934l_bool: $i > $i > $i ).
thf(tp_hAPP_f2121594859l_bool,type,
hAPP_f2121594859l_bool: $i > $i > $i ).
thf(tp_hAPP_f2132060507r_bool,type,
hAPP_f2132060507r_bool: $i > $i > $i ).
thf(tp_hAPP_f2134824737l_bool,type,
hAPP_f2134824737l_bool: $i > $i > $i ).
thf(tp_hAPP_f2135509569l_bool,type,
hAPP_f2135509569l_bool: $i > $i > $i ).
thf(tp_hAPP_f2144092865l_bool,type,
hAPP_f2144092865l_bool: $i > $i > $i ).
thf(tp_hAPP_f235082303t_bool,type,
hAPP_f235082303t_bool: $i > $i > $i ).
thf(tp_hAPP_f243373951t_bool,type,
hAPP_f243373951t_bool: $i > $i > $i ).
thf(tp_hAPP_f26812903r_bool,type,
hAPP_f26812903r_bool: $i > $i > $i ).
thf(tp_hAPP_f281022143l_bool,type,
hAPP_f281022143l_bool: $i > $i > $i ).
thf(tp_hAPP_f284805883t_bool,type,
hAPP_f284805883t_bool: $i > $i > $i ).
thf(tp_hAPP_f295212021l_bool,type,
hAPP_f295212021l_bool: $i > $i > $i ).
thf(tp_hAPP_f318082871l_bool,type,
hAPP_f318082871l_bool: $i > $i > $i ).
thf(tp_hAPP_f332734435r_bool,type,
hAPP_f332734435r_bool: $i > $i > $i ).
thf(tp_hAPP_f336522659r_bool,type,
hAPP_f336522659r_bool: $i > $i > $i ).
thf(tp_hAPP_f338074126t_char,type,
hAPP_f338074126t_char: $i > $i > $i ).
thf(tp_hAPP_f338507310l_bool,type,
hAPP_f338507310l_bool: $i > $i > $i ).
thf(tp_hAPP_f340876351l_bool,type,
hAPP_f340876351l_bool: $i > $i > $i ).
thf(tp_hAPP_f348318673l_bool,type,
hAPP_f348318673l_bool: $i > $i > $i ).
thf(tp_hAPP_f363827556r_bool,type,
hAPP_f363827556r_bool: $i > $i > $i ).
thf(tp_hAPP_f365540729l_bool,type,
hAPP_f365540729l_bool: $i > $i > $i ).
thf(tp_hAPP_f372404869on_val,type,
hAPP_f372404869on_val: $i > $i > $i ).
thf(tp_hAPP_f384373191al_val,type,
hAPP_f384373191al_val: $i > $i > $i ).
thf(tp_hAPP_f394183983on_val,type,
hAPP_f394183983on_val: $i > $i > $i ).
thf(tp_hAPP_f396019662l_bool,type,
hAPP_f396019662l_bool: $i > $i > $i ).
thf(tp_hAPP_f399538905l_bool,type,
hAPP_f399538905l_bool: $i > $i > $i ).
thf(tp_hAPP_f40221303l_bool,type,
hAPP_f40221303l_bool: $i > $i > $i ).
thf(tp_hAPP_f414190381l_bool,type,
hAPP_f414190381l_bool: $i > $i > $i ).
thf(tp_hAPP_f416690673l_bool,type,
hAPP_f416690673l_bool: $i > $i > $i ).
thf(tp_hAPP_f42352062l_bool,type,
hAPP_f42352062l_bool: $i > $i > $i ).
thf(tp_hAPP_f439412817l_bool,type,
hAPP_f439412817l_bool: $i > $i > $i ).
thf(tp_hAPP_f444383845l_bool,type,
hAPP_f444383845l_bool: $i > $i > $i ).
thf(tp_hAPP_f451093418l_bool,type,
hAPP_f451093418l_bool: $i > $i > $i ).
thf(tp_hAPP_f468299289l_bool,type,
hAPP_f468299289l_bool: $i > $i > $i ).
thf(tp_hAPP_f477896859t_bool,type,
hAPP_f477896859t_bool: $i > $i > $i ).
thf(tp_hAPP_f48091733on_val,type,
hAPP_f48091733on_val: $i > $i > $i ).
thf(tp_hAPP_f489055607l_bool,type,
hAPP_f489055607l_bool: $i > $i > $i ).
thf(tp_hAPP_f496905015l_bool,type,
hAPP_f496905015l_bool: $i > $i > $i ).
thf(tp_hAPP_f497008323l_bool,type,
hAPP_f497008323l_bool: $i > $i > $i ).
thf(tp_hAPP_f499947099l_bool,type,
hAPP_f499947099l_bool: $i > $i > $i ).
thf(tp_hAPP_f507696695l_bool,type,
hAPP_f507696695l_bool: $i > $i > $i ).
thf(tp_hAPP_f516738477l_bool,type,
hAPP_f516738477l_bool: $i > $i > $i ).
thf(tp_hAPP_f522522333l_bool,type,
hAPP_f522522333l_bool: $i > $i > $i ).
thf(tp_hAPP_f524589473l_bool,type,
hAPP_f524589473l_bool: $i > $i > $i ).
thf(tp_hAPP_f546724245l_bool,type,
hAPP_f546724245l_bool: $i > $i > $i ).
thf(tp_hAPP_f550652027l_bool,type,
hAPP_f550652027l_bool: $i > $i > $i ).
thf(tp_hAPP_f555424277l_bool,type,
hAPP_f555424277l_bool: $i > $i > $i ).
thf(tp_hAPP_f57041375l_bool,type,
hAPP_f57041375l_bool: $i > $i > $i ).
thf(tp_hAPP_f592397849l_bool,type,
hAPP_f592397849l_bool: $i > $i > $i ).
thf(tp_hAPP_f600512025on_val,type,
hAPP_f600512025on_val: $i > $i > $i ).
thf(tp_hAPP_f602593190on_val,type,
hAPP_f602593190on_val: $i > $i > $i ).
thf(tp_hAPP_f603925568l_bool,type,
hAPP_f603925568l_bool: $i > $i > $i ).
thf(tp_hAPP_f61040418l_bool,type,
hAPP_f61040418l_bool: $i > $i > $i ).
thf(tp_hAPP_f61570481t_bool,type,
hAPP_f61570481t_bool: $i > $i > $i ).
thf(tp_hAPP_f624730965l_bool,type,
hAPP_f624730965l_bool: $i > $i > $i ).
thf(tp_hAPP_f630712985l_bool,type,
hAPP_f630712985l_bool: $i > $i > $i ).
thf(tp_hAPP_f635218277l_bool,type,
hAPP_f635218277l_bool: $i > $i > $i ).
thf(tp_hAPP_f639265145l_bool,type,
hAPP_f639265145l_bool: $i > $i > $i ).
thf(tp_hAPP_f641257349l_bool,type,
hAPP_f641257349l_bool: $i > $i > $i ).
thf(tp_hAPP_f647637603l_bool,type,
hAPP_f647637603l_bool: $i > $i > $i ).
thf(tp_hAPP_f653692369l_bool,type,
hAPP_f653692369l_bool: $i > $i > $i ).
thf(tp_hAPP_f653851379l_bool,type,
hAPP_f653851379l_bool: $i > $i > $i ).
thf(tp_hAPP_f664873147l_bool,type,
hAPP_f664873147l_bool: $i > $i > $i ).
thf(tp_hAPP_f702440703l_bool,type,
hAPP_f702440703l_bool: $i > $i > $i ).
thf(tp_hAPP_f727795555l_bool,type,
hAPP_f727795555l_bool: $i > $i > $i ).
thf(tp_hAPP_f737710471r_bool,type,
hAPP_f737710471r_bool: $i > $i > $i ).
thf(tp_hAPP_f745235151t_bool,type,
hAPP_f745235151t_bool: $i > $i > $i ).
thf(tp_hAPP_f774767491r_bool,type,
hAPP_f774767491r_bool: $i > $i > $i ).
thf(tp_hAPP_f775361359r_bool,type,
hAPP_f775361359r_bool: $i > $i > $i ).
thf(tp_hAPP_f781588360l_bool,type,
hAPP_f781588360l_bool: $i > $i > $i ).
thf(tp_hAPP_f800545225l_bool,type,
hAPP_f800545225l_bool: $i > $i > $i ).
thf(tp_hAPP_f802896187l_bool,type,
hAPP_f802896187l_bool: $i > $i > $i ).
thf(tp_hAPP_f820838927l_bool,type,
hAPP_f820838927l_bool: $i > $i > $i ).
thf(tp_hAPP_f828778154l_bool,type,
hAPP_f828778154l_bool: $i > $i > $i ).
thf(tp_hAPP_f833559503l_bool,type,
hAPP_f833559503l_bool: $i > $i > $i ).
thf(tp_hAPP_f838396643l_bool,type,
hAPP_f838396643l_bool: $i > $i > $i ).
thf(tp_hAPP_f850751421l_bool,type,
hAPP_f850751421l_bool: $i > $i > $i ).
thf(tp_hAPP_f854417517l_bool,type,
hAPP_f854417517l_bool: $i > $i > $i ).
thf(tp_hAPP_f857351829l_bool,type,
hAPP_f857351829l_bool: $i > $i > $i ).
thf(tp_hAPP_f881985847l_bool,type,
hAPP_f881985847l_bool: $i > $i > $i ).
thf(tp_hAPP_f8993627l_bool,type,
hAPP_f8993627l_bool: $i > $i > $i ).
thf(tp_hAPP_f900686428on_val,type,
hAPP_f900686428on_val: $i > $i > $i ).
thf(tp_hAPP_f902010623al_val,type,
hAPP_f902010623al_val: $i > $i > $i ).
thf(tp_hAPP_f902521097l_bool,type,
hAPP_f902521097l_bool: $i > $i > $i ).
thf(tp_hAPP_f910354125l_bool,type,
hAPP_f910354125l_bool: $i > $i > $i ).
thf(tp_hAPP_f917296015l_bool,type,
hAPP_f917296015l_bool: $i > $i > $i ).
thf(tp_hAPP_f926562337l_bool,type,
hAPP_f926562337l_bool: $i > $i > $i ).
thf(tp_hAPP_f927043595l_bool,type,
hAPP_f927043595l_bool: $i > $i > $i ).
thf(tp_hAPP_f928795841al_val,type,
hAPP_f928795841al_val: $i > $i > $i ).
thf(tp_hAPP_f953970029l_bool,type,
hAPP_f953970029l_bool: $i > $i > $i ).
thf(tp_hAPP_f967695645l_bool,type,
hAPP_f967695645l_bool: $i > $i > $i ).
thf(tp_hAPP_f990102836r_bool,type,
hAPP_f990102836r_bool: $i > $i > $i ).
thf(tp_hAPP_f998724171on_val,type,
hAPP_f998724171on_val: $i > $i > $i ).
thf(tp_hAPP_l1064716406r_bool,type,
hAPP_l1064716406r_bool: $i > $i > $i ).
thf(tp_hAPP_l1110132679l_bool,type,
hAPP_l1110132679l_bool: $i > $i > $i ).
thf(tp_hAPP_l1278066386l_bool,type,
hAPP_l1278066386l_bool: $i > $i > $i ).
thf(tp_hAPP_l1288616506r_bool,type,
hAPP_l1288616506r_bool: $i > $i > $i ).
thf(tp_hAPP_l1294179937l_bool,type,
hAPP_l1294179937l_bool: $i > $i > $i ).
thf(tp_hAPP_l130580829l_bool,type,
hAPP_l130580829l_bool: $i > $i > $i ).
thf(tp_hAPP_l1361600383r_bool,type,
hAPP_l1361600383r_bool: $i > $i > $i ).
thf(tp_hAPP_l1369340754l_bool,type,
hAPP_l1369340754l_bool: $i > $i > $i ).
thf(tp_hAPP_l1460960191t_bool,type,
hAPP_l1460960191t_bool: $i > $i > $i ).
thf(tp_hAPP_l1691929923t_bool,type,
hAPP_l1691929923t_bool: $i > $i > $i ).
thf(tp_hAPP_l1694815232l_bool,type,
hAPP_l1694815232l_bool: $i > $i > $i ).
thf(tp_hAPP_l1778295065r_bool,type,
hAPP_l1778295065r_bool: $i > $i > $i ).
thf(tp_hAPP_l1786340417on_val,type,
hAPP_l1786340417on_val: $i > $i > $i ).
thf(tp_hAPP_l1930116514t_bool,type,
hAPP_l1930116514t_bool: $i > $i > $i ).
thf(tp_hAPP_l195239522on_val,type,
hAPP_l195239522on_val: $i > $i > $i ).
thf(tp_hAPP_l2054741776r_bool,type,
hAPP_l2054741776r_bool: $i > $i > $i ).
thf(tp_hAPP_l207779698on_val,type,
hAPP_l207779698on_val: $i > $i > $i ).
thf(tp_hAPP_l208357873t_char,type,
hAPP_l208357873t_char: $i > $i > $i ).
thf(tp_hAPP_l2100324114t_char,type,
hAPP_l2100324114t_char: $i > $i > $i ).
thf(tp_hAPP_l2138409430r_bool,type,
hAPP_l2138409430r_bool: $i > $i > $i ).
thf(tp_hAPP_l221195696on_val,type,
hAPP_l221195696on_val: $i > $i > $i ).
thf(tp_hAPP_l256041150l_bool,type,
hAPP_l256041150l_bool: $i > $i > $i ).
thf(tp_hAPP_l258171825l_bool,type,
hAPP_l258171825l_bool: $i > $i > $i ).
thf(tp_hAPP_l287304753l_bool,type,
hAPP_l287304753l_bool: $i > $i > $i ).
thf(tp_hAPP_l313577550l_bool,type,
hAPP_l313577550l_bool: $i > $i > $i ).
thf(tp_hAPP_l465799708l_bool,type,
hAPP_l465799708l_bool: $i > $i > $i ).
thf(tp_hAPP_l512744617ion_ty,type,
hAPP_l512744617ion_ty: $i > $i > $i ).
thf(tp_hAPP_l5978434l_bool,type,
hAPP_l5978434l_bool: $i > $i > $i ).
thf(tp_hAPP_l750759651l_bool,type,
hAPP_l750759651l_bool: $i > $i > $i ).
thf(tp_hAPP_l780727270l_bool,type,
hAPP_l780727270l_bool: $i > $i > $i ).
thf(tp_hAPP_l803240415l_bool,type,
hAPP_l803240415l_bool: $i > $i > $i ).
thf(tp_hAPP_l80874262on_val,type,
hAPP_l80874262on_val: $i > $i > $i ).
thf(tp_hAPP_l867549837on_val,type,
hAPP_l867549837on_val: $i > $i > $i ).
thf(tp_hAPP_l989484238l_bool,type,
hAPP_l989484238l_bool: $i > $i > $i ).
thf(tp_hAPP_list_char_bool,type,
hAPP_list_char_bool: $i > $i > $i ).
thf(tp_hAPP_n2063106924r_bool,type,
hAPP_n2063106924r_bool: $i > $i > $i ).
thf(tp_hAPP_n546249108on_val,type,
hAPP_n546249108on_val: $i > $i > $i ).
thf(tp_hAPP_nat_bool,type,
hAPP_nat_bool: $i > $i > $i ).
thf(tp_hAPP_nat_option_ty,type,
hAPP_nat_option_ty: $i > $i > $i ).
thf(tp_hAPP_nat_option_val,type,
hAPP_nat_option_val: $i > $i > $i ).
thf(tp_hAPP_ty_option_ty,type,
hAPP_ty_option_ty: $i > $i > $i ).
thf(tp_hAPP_v1173428276on_val,type,
hAPP_v1173428276on_val: $i > $i > $i ).
thf(tp_hAPP_v1285778436l_bool,type,
hAPP_v1285778436l_bool: $i > $i > $i ).
thf(tp_hAPP_v1392248405l_bool,type,
hAPP_v1392248405l_bool: $i > $i > $i ).
thf(tp_hAPP_v1499173912l_bool,type,
hAPP_v1499173912l_bool: $i > $i > $i ).
thf(tp_hAPP_v1519391al_val,type,
hAPP_v1519391al_val: $i > $i > $i ).
thf(tp_hAPP_v1688016564l_bool,type,
hAPP_v1688016564l_bool: $i > $i > $i ).
thf(tp_hAPP_v1739888647l_bool,type,
hAPP_v1739888647l_bool: $i > $i > $i ).
thf(tp_hAPP_v1775873509l_bool,type,
hAPP_v1775873509l_bool: $i > $i > $i ).
thf(tp_hAPP_v1814257440r_bool,type,
hAPP_v1814257440r_bool: $i > $i > $i ).
thf(tp_hAPP_v1921713543l_bool,type,
hAPP_v1921713543l_bool: $i > $i > $i ).
thf(tp_hAPP_v1940296605r_bool,type,
hAPP_v1940296605r_bool: $i > $i > $i ).
thf(tp_hAPP_v2145502215l_bool,type,
hAPP_v2145502215l_bool: $i > $i > $i ).
thf(tp_hAPP_v572032837l_bool,type,
hAPP_v572032837l_bool: $i > $i > $i ).
thf(tp_hAPP_v618097829t_bool,type,
hAPP_v618097829t_bool: $i > $i > $i ).
thf(tp_hAPP_v620871016l_bool,type,
hAPP_v620871016l_bool: $i > $i > $i ).
thf(tp_hAPP_v852496844al_val,type,
hAPP_v852496844al_val: $i > $i > $i ).
thf(tp_hAPP_v897668472t_bool,type,
hAPP_v897668472t_bool: $i > $i > $i ).
thf(tp_hAPP_v906492983on_val,type,
hAPP_v906492983on_val: $i > $i > $i ).
thf(tp_hAPP_v958864436l_bool,type,
hAPP_v958864436l_bool: $i > $i > $i ).
thf(tp_hAPP_val_bool,type,
hAPP_val_bool: $i > $i > $i ).
thf(tp_hAPP_val_option_val,type,
hAPP_val_option_val: $i > $i > $i ).
thf(tp_hBOOL,type,
hBOOL: $i > $o ).
thf(tp_h_a,type,
h_a: $i ).
thf(tp_ha,type,
ha: $i ).
thf(tp_has_fi1183600461t_char,type,
has_fi1183600461t_char: $i > $i > $i > $i > $i ).
thf(tp_hconf_97414254t_char,type,
hconf_97414254t_char: $i > $i ).
thf(tp_hext,type,
hext: $i > $i > $i ).
thf(tp_hp,type,
hp: $i > $i ).
thf(tp_is_bool,type,
is_bool: $i > $o ).
thf(tp_is_bop,type,
is_bop: $i > $o ).
thf(tp_is_cla570604648t_char,type,
is_cla570604648t_char: $i > $i ).
thf(tp_is_refT,type,
is_refT: $i > $i ).
thf(tp_lAss_list_char,type,
lAss_list_char: $i > $i > $i ).
thf(tp_l_a,type,
l_a: $i ).
thf(tp_la,type,
la: $i ).
thf(tp_lconf_496643946t_char,type,
lconf_496643946t_char: $i > $i ).
thf(tp_map_ad1139121712al_val,type,
map_ad1139121712al_val: $i > $i > $i ).
thf(tp_map_ad1185064968ar_val,type,
map_ad1185064968ar_val: $i > $i > $i ).
thf(tp_map_ad1209909133r_bool,type,
map_ad1209909133r_bool: $i > $i > $i ).
thf(tp_map_ad1263605142al_val,type,
map_ad1263605142al_val: $i > $i > $i ).
thf(tp_map_ad1402016615val_ty,type,
map_ad1402016615val_ty: $i > $i > $i ).
thf(tp_map_ad1443463365al_val,type,
map_ad1443463365al_val: $i > $i > $i ).
thf(tp_map_ad1572886776r_bool,type,
map_ad1572886776r_bool: $i > $i > $i ).
thf(tp_map_ad1655582893r_bool,type,
map_ad1655582893r_bool: $i > $i > $i ).
thf(tp_map_ad172895647r_bool,type,
map_ad172895647r_bool: $i > $i > $i ).
thf(tp_map_ad1808327055al_val,type,
map_ad1808327055al_val: $i > $i > $i ).
thf(tp_map_ad181331206on_val,type,
map_ad181331206on_val: $i > $i > $i ).
thf(tp_map_ad1863687646r_bool,type,
map_ad1863687646r_bool: $i > $i > $i ).
thf(tp_map_ad1877333574val_ty,type,
map_ad1877333574val_ty: $i > $i > $i ).
thf(tp_map_ad1982313927on_val,type,
map_ad1982313927on_val: $i > $i > $i ).
thf(tp_map_ad2023008343r_bool,type,
map_ad2023008343r_bool: $i > $i > $i ).
thf(tp_map_ad2048931253on_val,type,
map_ad2048931253on_val: $i > $i > $i ).
thf(tp_map_ad2099161878al_val,type,
map_ad2099161878al_val: $i > $i > $i ).
thf(tp_map_ad325961431ar_val,type,
map_ad325961431ar_val: $i > $i > $i ).
thf(tp_map_ad435015558on_val,type,
map_ad435015558on_val: $i > $i > $i ).
thf(tp_map_ad451392333val_ty,type,
map_ad451392333val_ty: $i > $i > $i ).
thf(tp_map_ad478808158r_bool,type,
map_ad478808158r_bool: $i > $i > $i ).
thf(tp_map_ad564247072on_val,type,
map_ad564247072on_val: $i > $i > $i ).
thf(tp_map_ad61982421on_val,type,
map_ad61982421on_val: $i > $i > $i ).
thf(tp_map_ad689713276val_ty,type,
map_ad689713276val_ty: $i > $i > $i ).
thf(tp_map_ad784656511on_val,type,
map_ad784656511on_val: $i > $i > $i ).
thf(tp_map_ad860315085val_ty,type,
map_ad860315085val_ty: $i > $i > $i ).
thf(tp_map_add_list_char_ty,type,
map_add_list_char_ty: $i > $i > $i ).
thf(tp_map_add_nat_ty,type,
map_add_nat_ty: $i > $i > $i ).
thf(tp_map_add_nat_val,type,
map_add_nat_val: $i > $i > $i ).
thf(tp_member1251428284t_char,type,
member1251428284t_char: $i > $i > $i ).
thf(tp_member1417904245al_val,type,
member1417904245al_val: $i > $i > $i ).
thf(tp_member1542417277on_val,type,
member1542417277on_val: $i > $i > $i ).
thf(tp_member649088532al_val,type,
member649088532al_val: $i > $i > $i ).
thf(tp_member763590124on_val,type,
member763590124on_val: $i > $i > $i ).
thf(tp_member773094996on_val,type,
member773094996on_val: $i > $i > $i ).
thf(tp_member840932460on_val,type,
member840932460on_val: $i > $i > $i ).
thf(tp_member_list_char,type,
member_list_char: $i > $i > $i ).
thf(tp_member_nat,type,
member_nat: $i > $i > $i ).
thf(tp_none_P179726773on_val,type,
none_P179726773on_val: $i ).
thf(tp_none_val,type,
none_val: $i ).
thf(tp_nt,type,
nt: $i ).
thf(tp_null,type,
null: $i ).
thf(tp_nullPointer,type,
nullPointer: $i ).
thf(tp_oconf_1869808039t_char,type,
oconf_1869808039t_char: $i > $i > $i ).
thf(tp_p,type,
p: $i ).
thf(tp_produc1003071703on_val,type,
produc1003071703on_val: $i ).
thf(tp_produc10100002l_bool,type,
produc10100002l_bool: $i ).
thf(tp_produc107777033l_bool,type,
produc107777033l_bool: $i ).
thf(tp_produc111276146r_bool,type,
produc111276146r_bool: $i ).
thf(tp_produc1148763895on_val,type,
produc1148763895on_val: $i ).
thf(tp_produc1159035454l_bool,type,
produc1159035454l_bool: $i > $i ).
thf(tp_produc1174947465on_val,type,
produc1174947465on_val: $i ).
thf(tp_produc1205785024r_bool,type,
produc1205785024r_bool: $i ).
thf(tp_produc121041439l_bool,type,
produc121041439l_bool: $i ).
thf(tp_produc1215886546r_bool,type,
produc1215886546r_bool: $i ).
thf(tp_produc1231332391l_bool,type,
produc1231332391l_bool: $i ).
thf(tp_produc1259058957on_val,type,
produc1259058957on_val: $i ).
thf(tp_produc1260869559al_val,type,
produc1260869559al_val: $i ).
thf(tp_produc1267303057l_bool,type,
produc1267303057l_bool: $i ).
thf(tp_produc1275132703l_bool,type,
produc1275132703l_bool: $i ).
thf(tp_produc1282419105t_bool,type,
produc1282419105t_bool: $i ).
thf(tp_produc1289468263l_bool,type,
produc1289468263l_bool: $i ).
thf(tp_produc1326056646l_bool,type,
produc1326056646l_bool: $i ).
thf(tp_produc1401528596l_bool,type,
produc1401528596l_bool: $i ).
thf(tp_produc1428203216l_bool,type,
produc1428203216l_bool: $i ).
thf(tp_produc1441475159on_val,type,
produc1441475159on_val: $i ).
thf(tp_produc1512975096l_bool,type,
produc1512975096l_bool: $i ).
thf(tp_produc1552159258l_bool,type,
produc1552159258l_bool: $i ).
thf(tp_produc155418000t_bool,type,
produc155418000t_bool: $i ).
thf(tp_produc1555310053l_bool,type,
produc1555310053l_bool: $i > $i ).
thf(tp_produc1596270113l_bool,type,
produc1596270113l_bool: $i ).
thf(tp_produc1704639885r_bool,type,
produc1704639885r_bool: $i ).
thf(tp_produc1722298385l_bool,type,
produc1722298385l_bool: $i ).
thf(tp_produc1741654153l_bool,type,
produc1741654153l_bool: $i ).
thf(tp_produc1759631162l_bool,type,
produc1759631162l_bool: $i ).
thf(tp_produc1779501634r_bool,type,
produc1779501634r_bool: $i ).
thf(tp_produc1780328409r_bool,type,
produc1780328409r_bool: $i ).
thf(tp_produc1810874273r_bool,type,
produc1810874273r_bool: $i ).
thf(tp_produc1812634928l_bool,type,
produc1812634928l_bool: $i ).
thf(tp_produc1815960045l_bool,type,
produc1815960045l_bool: $i ).
thf(tp_produc1837990498l_bool,type,
produc1837990498l_bool: $i ).
thf(tp_produc1911463199l_bool,type,
produc1911463199l_bool: $i ).
thf(tp_produc1911975310l_bool,type,
produc1911975310l_bool: $i > $i ).
thf(tp_produc1925718841l_bool,type,
produc1925718841l_bool: $i ).
thf(tp_produc1958875245l_bool,type,
produc1958875245l_bool: $i ).
thf(tp_produc1973453616l_bool,type,
produc1973453616l_bool: $i ).
thf(tp_produc1988544340l_bool,type,
produc1988544340l_bool: $i ).
thf(tp_produc1994406320l_bool,type,
produc1994406320l_bool: $i ).
thf(tp_produc20018513l_bool,type,
produc20018513l_bool: $i ).
thf(tp_produc2036005791l_bool,type,
produc2036005791l_bool: $i ).
thf(tp_produc2062775566l_bool,type,
produc2062775566l_bool: $i > $i ).
thf(tp_produc2075733823l_bool,type,
produc2075733823l_bool: $i ).
thf(tp_produc2098256560t_bool,type,
produc2098256560t_bool: $i ).
thf(tp_produc2102986512t_bool,type,
produc2102986512t_bool: $i ).
thf(tp_produc2128769400l_bool,type,
produc2128769400l_bool: $i ).
thf(tp_produc226467351on_val,type,
produc226467351on_val: $i ).
thf(tp_produc234747160al_val,type,
produc234747160al_val: $i ).
thf(tp_produc240246489l_bool,type,
produc240246489l_bool: $i ).
thf(tp_produc278452722r_bool,type,
produc278452722r_bool: $i ).
thf(tp_produc286289338l_bool,type,
produc286289338l_bool: $i ).
thf(tp_produc301664320l_bool,type,
produc301664320l_bool: $i ).
thf(tp_produc334393759l_bool,type,
produc334393759l_bool: $i ).
thf(tp_produc367277545l_bool,type,
produc367277545l_bool: $i ).
thf(tp_produc376702929l_bool,type,
produc376702929l_bool: $i ).
thf(tp_produc392960766l_bool,type,
produc392960766l_bool: $i ).
thf(tp_produc399384568l_bool,type,
produc399384568l_bool: $i ).
thf(tp_produc445472770t_bool,type,
produc445472770t_bool: $i ).
thf(tp_produc457808617on_val,type,
produc457808617on_val: $i ).
thf(tp_produc481748255l_bool,type,
produc481748255l_bool: $i > $i ).
thf(tp_produc5062597t_char,type,
produc5062597t_char: $i ).
thf(tp_produc530227576l_bool,type,
produc530227576l_bool: $i ).
thf(tp_produc576623071t_char,type,
produc576623071t_char: $i ).
thf(tp_produc621191550al_val,type,
produc621191550al_val: $i ).
thf(tp_produc636580408on_val,type,
produc636580408on_val: $i ).
thf(tp_produc654114665t_bool,type,
produc654114665t_bool: $i ).
thf(tp_produc655738969l_bool,type,
produc655738969l_bool: $i ).
thf(tp_produc726689536r_bool,type,
produc726689536r_bool: $i ).
thf(tp_produc737906696l_bool,type,
produc737906696l_bool: $i ).
thf(tp_produc769963999l_bool,type,
produc769963999l_bool: $i ).
thf(tp_produc778642754t_bool,type,
produc778642754t_bool: $i ).
thf(tp_produc820564232l_bool,type,
produc820564232l_bool: $i ).
thf(tp_produc823076510on_val,type,
produc823076510on_val: $i ).
thf(tp_produc828791728l_bool,type,
produc828791728l_bool: $i ).
thf(tp_produc848137919l_bool,type,
produc848137919l_bool: $i ).
thf(tp_produc85367547l_bool,type,
produc85367547l_bool: $i ).
thf(tp_produc877244993l_bool,type,
produc877244993l_bool: $i ).
thf(tp_produc886919678l_bool,type,
produc886919678l_bool: $i > $i ).
thf(tp_produc899768717on_val,type,
produc899768717on_val: $i ).
thf(tp_produc901351817on_val,type,
produc901351817on_val: $i ).
thf(tp_produc928527642on_val,type,
produc928527642on_val: $i ).
thf(tp_produc95371820r_bool,type,
produc95371820r_bool: $i > $i ).
thf(tp_produc970139208l_bool,type,
produc970139208l_bool: $i ).
thf(tp_produc996400752on_val,type,
produc996400752on_val: $i ).
thf(tp_product_Pair_val_val,type,
product_Pair_val_val: $i ).
thf(tp_red,type,
red: $i > $i ).
thf(tp_redp,type,
redp: $i > $i > $i > $i ).
thf(tp_sK10_SY589,type,
sK10_SY589: $i > $i ).
thf(tp_sK11_SY603,type,
sK11_SY603: $i > $i ).
thf(tp_sK12_SY606,type,
sK12_SY606: $i > $i ).
thf(tp_sK13_SY612,type,
sK13_SY612: $i > $i ).
thf(tp_sK14_SY615,type,
sK14_SY615: $i > $i ).
thf(tp_sK15_SY617,type,
sK15_SY617: $i > $i ).
thf(tp_sK16_SY622,type,
sK16_SY622: $i > $i ).
thf(tp_sK17_SY630,type,
sK17_SY630: $i > $i ).
thf(tp_sK18_SY631,type,
sK18_SY631: $i > $i ).
thf(tp_sK19_SY661,type,
sK19_SY661: $i > $i ).
thf(tp_sK1_SY287,type,
sK1_SY287: $i > $i ).
thf(tp_sK20_SY667,type,
sK20_SY667: $i > $i ).
thf(tp_sK21_SY516,type,
sK21_SY516: $i > $i > $i ).
thf(tp_sK22_SY534,type,
sK22_SY534: $i > $i > $i ).
thf(tp_sK23_SY675,type,
sK23_SY675: $i > $i ).
thf(tp_sK24_SY573,type,
sK24_SY573: $i > $i > $i ).
thf(tp_sK25_SY691,type,
sK25_SY691: $i > $i ).
thf(tp_sK26_SY695,type,
sK26_SY695: $i > $i > $i ).
thf(tp_sK27_SY699,type,
sK27_SY699: $i > $i > $i ).
thf(tp_sK28_SY707,type,
sK28_SY707: $i > $i > $i ).
thf(tp_sK29_SY289,type,
sK29_SY289: $i > $i ).
thf(tp_sK2_SY330,type,
sK2_SY330: $i > $i ).
thf(tp_sK30_SY292,type,
sK30_SY292: $i > $i ).
thf(tp_sK31_SY337,type,
sK31_SY337: $i > $i ).
thf(tp_sK32_SY340,type,
sK32_SY340: $i > $i ).
thf(tp_sK33_SY715,type,
sK33_SY715: $i > $i > $i ).
thf(tp_sK34_SY369,type,
sK34_SY369: $i > $i ).
thf(tp_sK35_SY372,type,
sK35_SY372: $i > $i ).
thf(tp_sK36_SY717,type,
sK36_SY717: $i > $i > $i ).
thf(tp_sK37_SY721,type,
sK37_SY721: $i > $i > $i ).
thf(tp_sK38_SY480,type,
sK38_SY480: $i > $i > $i ).
thf(tp_sK39_SY722,type,
sK39_SY722: $i > $i ).
thf(tp_sK3_SY334,type,
sK3_SY334: $i > $i ).
thf(tp_sK40_SY724,type,
sK40_SY724: $i > $i ).
thf(tp_sK41_SY726,type,
sK41_SY726: $i > $i > $i ).
thf(tp_sK42_SY727,type,
sK42_SY727: $i > $i ).
thf(tp_sK43_SY530,type,
sK43_SY530: $i > $i > $i ).
thf(tp_sK44_SY547,type,
sK44_SY547: $i > $i > $i ).
thf(tp_sK45_SY729,type,
sK45_SY729: $i > $i > $i ).
thf(tp_sK46_SY735,type,
sK46_SY735: $i > $i > $i ).
thf(tp_sK47_SY737,type,
sK47_SY737: $i > $i > $i ).
thf(tp_sK48_SY308,type,
sK48_SY308: $i > $i > $i ).
thf(tp_sK49_SY438,type,
sK49_SY438: $i > $i > $i ).
thf(tp_sK4_SY350,type,
sK4_SY350: $i > $i ).
thf(tp_sK50_SY459,type,
sK50_SY459: $i > $i > $i ).
thf(tp_sK51_SY741,type,
sK51_SY741: $i > $i > $i ).
thf(tp_sK52_SY312,type,
sK52_SY312: $i > $i > $i > $i ).
thf(tp_sK53_SY742,type,
sK53_SY742: $i > $i > $i ).
thf(tp_sK54_SY442,type,
sK54_SY442: $i > $i > $i > $i ).
thf(tp_sK55_SY743,type,
sK55_SY743: $i > $i > $i ).
thf(tp_sK56_SY463,type,
sK56_SY463: $i > $i > $i > $i ).
thf(tp_sK5_SY361,type,
sK5_SY361: $i > $i ).
thf(tp_sK6_SY367,type,
sK6_SY367: $i > $i ).
thf(tp_sK7_SY383,type,
sK7_SY383: $i > $i ).
thf(tp_sK8_SY407,type,
sK8_SY407: $i > $i ).
thf(tp_sK9_SY409,type,
sK9_SY409: $i > $i ).
thf(tp_seq_list_char,type,
seq_list_char: $i > $i > $i ).
thf(tp_some_P948696889on_val,type,
some_P948696889on_val: $i ).
thf(tp_some_f80346385r_bool,type,
some_f80346385r_bool: $i ).
thf(tp_some_ty,type,
some_ty: $i ).
thf(tp_some_val,type,
some_val: $i ).
thf(tp_subcls744239332t_char,type,
subcls744239332t_char: $i > $i ).
thf(tp_subcls851966956t_char,type,
subcls851966956t_char: $i > $i ).
thf(tp_t,type,
t: $i ).
thf(tp_t_1,type,
t_1: $i ).
thf(tp_the_val,type,
the_val: $i > $i ).
thf(tp_throw_list_char,type,
throw_list_char: $i > $i ).
thf(tp_transi1065307915t_char,type,
transi1065307915t_char: $i > $i ).
thf(tp_transi1395422419t_char,type,
transi1395422419t_char: $i > $i ).
thf(tp_transi2024712006on_val,type,
transi2024712006on_val: $i > $i ).
thf(tp_tryCatch_list_char,type,
tryCatch_list_char: $i > $i > $i > $i > $i ).
thf(tp_typeSa807100911_sconf,type,
typeSa807100911_sconf: $i > $i > $i ).
thf(tp_undefined_bop,type,
undefined_bop: $i > $i ).
thf(tp_unit,type,
unit: $i ).
thf(tp_v,type,
v: $i ).
thf(tp_v_1,type,
v_1: $i ).
thf(tp_v_2,type,
v_2: $i ).
thf(tp_val_list_char,type,
val_list_char: $i > $i ).
thf(tp_void,type,
void: $i ).
thf(tp_wTrt,type,
wTrt: $i > $i > $i > $i > $i > $i ).
thf(tp_wf_J_mdecl,type,
wf_J_mdecl: $i ).
thf(tp_wf_pro755087577t_char,type,
wf_pro755087577t_char: $i > $i > $i ).
thf(tp_while_list_char,type,
while_list_char: $i > $i > $i ).
thf(tp_widen_2090681816t_char,type,
widen_2090681816t_char: $i > $i > $i > $i ).
thf(tp_wwf_J_mdecl,type,
wwf_J_mdecl: $i ).
thf(62,axiom,
~ ( hBOOL @ fFalse ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fFalse_1_1_U) ).
thf(74,axiom,
! [Bool: $i,Bool_1: $i] :
( ( ( bool @ Bool )
= ( bool @ Bool_1 ) )
<=> ( ( hBOOL @ Bool )
<=> ( hBOOL @ Bool_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_691_val_Osimps_I1_J) ).
thf(99,axiom,
! [Bop: $i,E_2: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( red @ Pa ) ) )
=> ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ Eb @ Bop @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ E_b @ Bop @ E_2 ) ) @ S ) ) @ ( red @ Pa ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_666_red__reds_OBinOpRed1) ).
thf(157,axiom,
! [C_1: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( red @ Pa ) ) )
=> ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ C_1 @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ C_1 @ E_b ) ) @ S ) ) @ ( red @ Pa ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_608_red__reds_OCastRed) ).
thf(173,axiom,
! [C_1: $i,Va_1: $i,E_2: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( red @ Pa ) ) )
=> ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ Eb @ C_1 @ Va_1 @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ E_b @ C_1 @ Va_1 @ E_2 ) ) @ S ) ) @ ( red @ Pa ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_592_red__reds_OTryRed) ).
thf(198,axiom,
! [Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( red @ Pa ) ) )
=> ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S ) ) @ ( red @ Pa ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_567_red__reds_OThrowRed) ).
thf(199,axiom,
! [Eb: $i,S_2: $i,Pa: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ ( throw_list_char @ Eb ) ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2 ) ) @ ( red @ Pa ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_566_red__reds_OThrowThrow) ).
thf(225,axiom,
! [F: $i,D: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( red @ Pa ) ) )
=> ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ Eb @ F @ D ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ E_b @ F @ D ) ) @ S ) ) @ ( red @ Pa ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_540_red__reds_OFAccRed) ).
thf(238,axiom,
! [F: $i,D: $i,E_2: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( red @ Pa ) ) )
=> ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ Eb @ F @ D @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ E_b @ F @ D @ E_2 ) ) @ S ) ) @ ( red @ Pa ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_527_red__reds_OFAssRed1) ).
thf(301,axiom,
! [H_3: $i,Hb: $i,H_b: $i] :
( ( hBOOL @ ( hext @ Hb @ H_b ) )
=> ( ( hBOOL @ ( hext @ H_b @ H_3 ) )
=> ( hBOOL @ ( hext @ Hb @ H_3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_464_hext__trans) ).
thf(395,axiom,
! [Hb: $i] : ( hBOOL @ ( hext @ Hb @ Hb ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_370_hext__refl) ).
thf(425,axiom,
! [F_1: $i,G: $i,X_1: $i,Y_2: $i] :
( ( map_ad325961431ar_val @ F_1 @ ( fun_up1149430426on_val @ G @ X_1 @ ( hAPP_val_option_val @ some_val @ Y_2 ) ) )
= ( fun_up1149430426on_val @ ( map_ad325961431ar_val @ F_1 @ G ) @ X_1 @ ( hAPP_val_option_val @ some_val @ Y_2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_340_map__add__upd) ).
thf(440,axiom,
! [E_2: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( red @ Pa ) ) )
=> ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ Eb @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ E_b @ E_2 ) ) @ S ) ) @ ( red @ Pa ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_325_red__reds_OSeqRed) ).
thf(441,axiom,
! [Va_1: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( red @ Pa ) ) )
=> ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ Va_1 @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ Va_1 @ E_b ) ) @ S ) ) @ ( red @ Pa ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_324_red__reds_OLAssRed) ).
thf(443,axiom,
! [X_1: $i,A_8: $i] :
( ( hBOOL @ ( member773094996on_val @ X_1 @ A_8 ) )
<=> ( hBOOL @ ( hAPP_P282169671l_bool @ A_8 @ X_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_322_mem__def) ).
thf(627,axiom,
! [L_0_1: $i,Eb: $i,Hb: $i,Lb: $i,E_b: $i,H_b: $i,L_b: $i,Pa: $i] :
( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ Lb ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ L_b ) ) ) @ ( red @ Pa ) ) )
=> ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ ( map_ad325961431ar_val @ L_0_1 @ Lb ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ ( map_ad325961431ar_val @ L_0_1 @ L_b ) ) ) ) @ ( red @ Pa ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_138_red__lcl__add) ).
thf(638,axiom,
! [A_1: $i,A_13: $i] :
( ( ( hAPP_val_option_val @ some_val @ A_1 )
= ( hAPP_val_option_val @ some_val @ A_13 ) )
<=> ( A_1 = A_13 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_127_option_Oinject) ).
thf(647,axiom,
! [Eb: $i,Hb: $i,Lb: $i,E_b: $i,H_b: $i,L_b: $i,Pa: $i] :
( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ Lb ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ L_b ) ) ) @ ( red @ Pa ) ) )
=> ( hBOOL @ ( hext @ Hb @ H_b ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_118_red__hext__incr) ).
thf(651,axiom,
! [T_4: $i,P_2: $i,S_5: $i,U_1: $i] :
( ( hBOOL @ ( widen_2090681816t_char @ P_2 @ S_5 @ U_1 ) )
=> ( ( hBOOL @ ( widen_2090681816t_char @ P_2 @ U_1 @ T_4 ) )
=> ( hBOOL @ ( widen_2090681816t_char @ P_2 @ S_5 @ T_4 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_114_widen__trans) ).
thf(656,axiom,
! [Pa: $i] :
( ? [X1: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ X1 ) )
<=> ? [A: $i,B_1: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A ) @ B_1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_109_split__paired__Ex) ).
thf(657,axiom,
! [Pa: $i] :
( ? [X1: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ X1 ) )
<=> ? [A: $i,B_1: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A ) @ B_1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_108_split__paired__Ex) ).
thf(658,axiom,
! [Pa: $i] :
( ? [X1: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ X1 ) )
<=> ? [A: $i,B_1: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ B_1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_107_split__paired__Ex) ).
thf(663,axiom,
! [P_1: $i] :
~ ! [X_2: $i,Y_1: $i] :
( P_1
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ X_2 ) @ Y_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_102_PairE) ).
thf(664,axiom,
! [P_1: $i] :
~ ! [X_2: $i,Y_1: $i] :
( P_1
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ X_2 ) @ Y_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_101_PairE) ).
thf(665,axiom,
! [P_1: $i] :
~ ! [X_2: $i,Y_1: $i] :
( P_1
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ X_2 ) @ Y_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_100_PairE) ).
thf(670,axiom,
! [Y_2: $i] :
~ ! [A: $i,B_1: $i] :
( Y_2
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A ) @ B_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_95_prod_Oexhaust) ).
thf(671,axiom,
! [Y_2: $i] :
~ ! [A: $i,B_1: $i] :
( Y_2
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A ) @ B_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_94_prod_Oexhaust) ).
thf(672,axiom,
! [Y_2: $i] :
~ ! [A: $i,B_1: $i] :
( Y_2
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ B_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_93_prod_Oexhaust) ).
thf(674,axiom,
! [S_6: $i,R_1: $i] :
( ! [X_2: $i,Xa: $i] :
( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ X_2 ) @ Xa ) @ R_1 ) )
<=> ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ X_2 ) @ Xa ) @ S_6 ) ) )
<=> ( R_1 = S_6 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_91_pred__equals__eq2) ).
thf(678,axiom,
! [S_6: $i,R_1: $i] :
( ! [X_2: $i,Xa: $i] :
( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ X_2 ) @ Xa ) @ R_1 ) )
<=> ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ X_2 ) @ Xa ) @ S_6 ) ) )
<=> ( R_1 = S_6 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_87_pred__equals__eq2) ).
thf(679,axiom,
! [S_6: $i,R_1: $i] :
( ! [X_2: $i,Xa: $i] :
( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ X_2 ) @ Xa ) @ R_1 ) )
<=> ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ X_2 ) @ Xa ) @ S_6 ) ) )
<=> ( R_1 = S_6 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_86_pred__equals__eq2) ).
thf(682,axiom,
! [X_1: $i,Pa: $i] :
( ! [A: $i,B_1: $i,C_4: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ B_1 ) @ C_4 ) ) ) )
=> ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ X_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_83_prod__induct3) ).
thf(683,axiom,
! [X_1: $i,Pa: $i] :
( ! [A: $i,B_1: $i,C_4: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ B_1 ) @ C_4 ) ) ) )
=> ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ X_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_82_prod__induct3) ).
thf(685,axiom,
! [Y_2: $i] :
~ ! [A: $i,B_1: $i,C_4: $i] :
( Y_2
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ B_1 ) @ C_4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_80_prod__cases3) ).
thf(686,axiom,
! [Y_2: $i] :
~ ! [A: $i,B_1: $i,C_4: $i] :
( Y_2
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ B_1 ) @ C_4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_79_prod__cases3) ).
thf(689,axiom,
! [P_4: $i,T_5: $i] : ( hBOOL @ ( widen_2090681816t_char @ P_4 @ T_5 @ T_5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_76_widen__refl) ).
thf(693,axiom,
! [F_1: $i,X_1: $i,Y_2: $i] :
( ( ( fun_up1149430426on_val @ F_1 @ X_1 @ Y_2 )
= F_1 )
<=> ( ( hAPP_l207779698on_val @ F_1 @ X_1 )
= Y_2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_72_fun__upd__idem__iff) ).
thf(697,axiom,
! [F_1: $i,X_1: $i,Y_2: $i,Z: $i] :
( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ F_1 @ X_1 @ Y_2 ) @ X_1 @ Z )
= ( fun_up1149430426on_val @ F_1 @ X_1 @ Z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_68_fun__upd__upd) ).
thf(701,axiom,
! [F_1: $i,X_1: $i,Y_2: $i] :
( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F_1 @ X_1 @ Y_2 ) @ X_1 )
= Y_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_64_fun__upd__same) ).
thf(705,axiom,
! [F_1: $i,Y_2: $i,Z: $i,X_1: $i] :
( ( ( Z = X_1 )
=> ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F_1 @ X_1 @ Y_2 ) @ Z )
= Y_2 ) )
& ( ( Z != X_1 )
=> ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F_1 @ X_1 @ Y_2 ) @ Z )
= ( hAPP_l207779698on_val @ F_1 @ Z ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_60_fun__upd__apply) ).
thf(709,axiom,
! [M: $i,B: $i,D_1: $i,A_1: $i,C: $i] :
( ( A_1 != C )
=> ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ M @ A_1 @ B ) @ C @ D_1 )
= ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ M @ C @ D_1 ) @ A_1 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_56_fun__upd__twist) ).
thf(713,axiom,
! [F_1: $i,Y_2: $i,Z: $i,X_1: $i] :
( ( Z != X_1 )
=> ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F_1 @ X_1 @ Y_2 ) @ Z )
= ( hAPP_l207779698on_val @ F_1 @ Z ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_52_fun__upd__other) ).
thf(717,axiom,
! [F_1: $i,X_1: $i,Y_2: $i] :
( ( ( hAPP_l207779698on_val @ F_1 @ X_1 )
= Y_2 )
=> ( ( fun_up1149430426on_val @ F_1 @ X_1 @ Y_2 )
= F_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_48_fun__upd__idem) ).
thf(721,axiom,
! [F_1: $i,B: $i,A_1: $i,X_2: $i] :
( ( ( X_2 = A_1 )
=> ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F_1 @ A_1 @ B ) @ X_2 )
= B ) )
& ( ( X_2 != A_1 )
=> ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F_1 @ A_1 @ B ) @ X_2 )
= ( hAPP_l207779698on_val @ F_1 @ X_2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_44_fun__upd__def) ).
thf(726,axiom,
! [Pa: $i] :
( ! [X1: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ X1 ) )
<=> ! [A: $i,B_1: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A ) @ B_1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_39_split__paired__All) ).
thf(727,axiom,
! [Pa: $i] :
( ! [X1: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ X1 ) )
<=> ! [A: $i,B_1: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A ) @ B_1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_38_split__paired__All) ).
thf(728,axiom,
! [Pa: $i] :
( ! [X1: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ X1 ) )
<=> ! [A: $i,B_1: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ B_1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_37_split__paired__All) ).
thf(733,axiom,
! [A_1: $i,B: $i,A_13: $i,B_2: $i] :
( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_1 ) @ B )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_13 ) @ B_2 ) )
<=> ( ( A_1 = A_13 )
& ( B = B_2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_32_Pair__eq) ).
thf(734,axiom,
! [A_1: $i,B: $i,A_13: $i,B_2: $i] :
( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_1 ) @ B )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_13 ) @ B_2 ) )
<=> ( ( A_1 = A_13 )
& ( B = B_2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_31_Pair__eq) ).
thf(735,axiom,
! [A_1: $i,B: $i,A_13: $i,B_2: $i] :
( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_1 ) @ B )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_13 ) @ B_2 ) )
<=> ( ( A_1 = A_13 )
& ( B = B_2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_30_Pair__eq) ).
thf(740,axiom,
! [A_1: $i,B: $i,A_13: $i,B_2: $i] :
( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_1 ) @ B )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_13 ) @ B_2 ) )
=> ~ ( ( A_1 = A_13 )
=> ( B != B_2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_25_Pair__inject) ).
thf(741,axiom,
! [A_1: $i,B: $i,A_13: $i,B_2: $i] :
( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_1 ) @ B )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_13 ) @ B_2 ) )
=> ~ ( ( A_1 = A_13 )
=> ( B != B_2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_24_Pair__inject) ).
thf(742,axiom,
! [A_1: $i,B: $i,A_13: $i,B_2: $i] :
( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_1 ) @ B )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_13 ) @ B_2 ) )
=> ~ ( ( A_1 = A_13 )
=> ( B != B_2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_23_Pair__inject) ).
thf(744,axiom,
! [Y_2: $i] :
~ ! [A: $i,B_1: $i,C_4: $i,D_2: $i] :
( Y_2
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ B_1 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ C_4 ) @ D_2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_21_prod__cases4) ).
thf(745,axiom,
! [X_1: $i,Pa: $i] :
( ! [A: $i,B_1: $i,C_4: $i,D_2: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ B_1 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ C_4 ) @ D_2 ) ) ) ) )
=> ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ X_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_20_prod__induct4) ).
thf(747,axiom,
! [M: $i,A_1: $i,X_1: $i,N: $i,Y_2: $i] :
( ( ( fun_up204312361on_val @ M @ A_1 @ ( hAPP_val_option_val @ some_val @ X_1 ) )
= ( fun_up204312361on_val @ N @ A_1 @ ( hAPP_val_option_val @ some_val @ Y_2 ) ) )
=> ( X_1 = Y_2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_18_map__upd__eqD1) ).
thf(750,axiom,
! [M: $i,A_1: $i,X_1: $i,N: $i,Y_2: $i] :
( ( ( fun_up1149430426on_val @ M @ A_1 @ ( hAPP_val_option_val @ some_val @ X_1 ) )
= ( fun_up1149430426on_val @ N @ A_1 @ ( hAPP_val_option_val @ some_val @ Y_2 ) ) )
=> ( X_1 = Y_2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_15_map__upd__eqD1) ).
thf(754,axiom,
! [T_6: $i,K: $i,X_1: $i] :
( ( ( hAPP_l207779698on_val @ T_6 @ K )
= ( hAPP_val_option_val @ some_val @ X_1 ) )
=> ( ( fun_up1149430426on_val @ T_6 @ K @ ( hAPP_val_option_val @ some_val @ X_1 ) )
= T_6 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_11_map__upd__triv) ).
thf(758,axiom,
! [M: $i,A_1: $i,B: $i,X_1: $i,Y_2: $i] :
( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ M @ A_1 @ ( hAPP_val_option_val @ some_val @ B ) ) @ X_1 )
= ( hAPP_val_option_val @ some_val @ Y_2 ) )
<=> ( ( ( X_1 = A_1 )
& ( B = Y_2 ) )
| ( ( X_1 != A_1 )
& ( ( hAPP_l207779698on_val @ M @ X_1 )
= ( hAPP_val_option_val @ some_val @ Y_2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7_map__upd__Some__unfold) ).
thf(763,axiom,
! [F_1: $i,X_1: $i] :
( ( fun_up1149430426on_val @ F_1 @ X_1 @ ( hAPP_l207779698on_val @ F_1 @ X_1 ) )
= F_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_fun__upd__triv) ).
thf(764,axiom,
hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ea ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( hAPP_val_option_val @ some_val @ v ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ e_a ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ h_a ) @ l_a ) ) ) @ ( red @ p ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_InitBlockRed_I1_J) ).
thf(804,axiom,
! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( member773094996on_val @ B_1_1 @ B_2_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_member_000tc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String_) ).
thf(805,conjecture,
hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ea ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( hAPP_val_option_val @ some_val @ v ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ e_a ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ h_a ) @ l_a ) ) ) @ ( red @ p ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(806,negated_conjecture,
( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ea ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( hAPP_val_option_val @ some_val @ v ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ e_a ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ h_a ) @ l_a ) ) ) @ ( red @ p ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[805]) ).
thf(807,plain,
( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ea ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( hAPP_val_option_val @ some_val @ v ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ e_a ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ h_a ) @ l_a ) ) ) @ ( red @ p ) ) )
= $false ),
inference(unfold_def,[status(thm)],[806]) ).
thf(808,plain,
( ( ~ ( hBOOL @ fFalse ) )
= $true ),
inference(unfold_def,[status(thm)],[62]) ).
thf(809,plain,
( ( ! [Bool: $i,Bool_1: $i] :
( ( ( bool @ Bool )
= ( bool @ Bool_1 ) )
<=> ( ( hBOOL @ Bool )
<=> ( hBOOL @ Bool_1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[74]) ).
thf(810,plain,
( ( ! [Bop: $i,E_2: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( red @ Pa ) ) )
=> ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ Eb @ Bop @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ E_b @ Bop @ E_2 ) ) @ S ) ) @ ( red @ Pa ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[99]) ).
thf(811,plain,
( ( ! [C_1: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( red @ Pa ) ) )
=> ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ C_1 @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ C_1 @ E_b ) ) @ S ) ) @ ( red @ Pa ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[157]) ).
thf(812,plain,
( ( ! [C_1: $i,Va_1: $i,E_2: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( red @ Pa ) ) )
=> ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ Eb @ C_1 @ Va_1 @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ E_b @ C_1 @ Va_1 @ E_2 ) ) @ S ) ) @ ( red @ Pa ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[173]) ).
thf(813,plain,
( ( ! [Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( red @ Pa ) ) )
=> ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S ) ) @ ( red @ Pa ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[198]) ).
thf(814,plain,
( ( ! [Eb: $i,S_2: $i,Pa: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ ( throw_list_char @ Eb ) ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2 ) ) @ ( red @ Pa ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[199]) ).
thf(815,plain,
( ( ! [F: $i,D: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( red @ Pa ) ) )
=> ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ Eb @ F @ D ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ E_b @ F @ D ) ) @ S ) ) @ ( red @ Pa ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[225]) ).
thf(816,plain,
( ( ! [F: $i,D: $i,E_2: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( red @ Pa ) ) )
=> ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ Eb @ F @ D @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ E_b @ F @ D @ E_2 ) ) @ S ) ) @ ( red @ Pa ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[238]) ).
thf(817,plain,
( ( ! [H_3: $i,Hb: $i,H_b: $i] :
( ( hBOOL @ ( hext @ Hb @ H_b ) )
=> ( ( hBOOL @ ( hext @ H_b @ H_3 ) )
=> ( hBOOL @ ( hext @ Hb @ H_3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[301]) ).
thf(818,plain,
( ( ! [Hb: $i] : ( hBOOL @ ( hext @ Hb @ Hb ) ) )
= $true ),
inference(unfold_def,[status(thm)],[395]) ).
thf(819,plain,
( ( ! [F_1: $i,G: $i,X_1: $i,Y_2: $i] :
( ( map_ad325961431ar_val @ F_1 @ ( fun_up1149430426on_val @ G @ X_1 @ ( hAPP_val_option_val @ some_val @ Y_2 ) ) )
= ( fun_up1149430426on_val @ ( map_ad325961431ar_val @ F_1 @ G ) @ X_1 @ ( hAPP_val_option_val @ some_val @ Y_2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[425]) ).
thf(820,plain,
( ( ! [E_2: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( red @ Pa ) ) )
=> ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ Eb @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ E_b @ E_2 ) ) @ S ) ) @ ( red @ Pa ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[440]) ).
thf(821,plain,
( ( ! [Va_1: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( red @ Pa ) ) )
=> ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ Va_1 @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ Va_1 @ E_b ) ) @ S ) ) @ ( red @ Pa ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[441]) ).
thf(822,plain,
( ( ! [X_1: $i,A_8: $i] :
( ( hBOOL @ ( member773094996on_val @ X_1 @ A_8 ) )
<=> ( hBOOL @ ( hAPP_P282169671l_bool @ A_8 @ X_1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[443]) ).
thf(823,plain,
( ( ! [L_0_1: $i,Eb: $i,Hb: $i,Lb: $i,E_b: $i,H_b: $i,L_b: $i,Pa: $i] :
( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ Lb ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ L_b ) ) ) @ ( red @ Pa ) ) )
=> ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ ( map_ad325961431ar_val @ L_0_1 @ Lb ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ ( map_ad325961431ar_val @ L_0_1 @ L_b ) ) ) ) @ ( red @ Pa ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[627]) ).
thf(824,plain,
( ( ! [A_1: $i,A_13: $i] :
( ( ( hAPP_val_option_val @ some_val @ A_1 )
= ( hAPP_val_option_val @ some_val @ A_13 ) )
<=> ( A_1 = A_13 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[638]) ).
thf(825,plain,
( ( ! [Eb: $i,Hb: $i,Lb: $i,E_b: $i,H_b: $i,L_b: $i,Pa: $i] :
( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ Lb ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ L_b ) ) ) @ ( red @ Pa ) ) )
=> ( hBOOL @ ( hext @ Hb @ H_b ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[647]) ).
thf(826,plain,
( ( ! [T_4: $i,P_2: $i,S_5: $i,U_1: $i] :
( ( hBOOL @ ( widen_2090681816t_char @ P_2 @ S_5 @ U_1 ) )
=> ( ( hBOOL @ ( widen_2090681816t_char @ P_2 @ U_1 @ T_4 ) )
=> ( hBOOL @ ( widen_2090681816t_char @ P_2 @ S_5 @ T_4 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[651]) ).
thf(827,plain,
( ( ! [Pa: $i] :
( ? [X1: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ X1 ) )
<=> ? [A: $i,B_1: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A ) @ B_1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[656]) ).
thf(828,plain,
( ( ! [Pa: $i] :
( ? [X1: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ X1 ) )
<=> ? [A: $i,B_1: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A ) @ B_1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[657]) ).
thf(829,plain,
( ( ! [Pa: $i] :
( ? [X1: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ X1 ) )
<=> ? [A: $i,B_1: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ B_1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[658]) ).
thf(830,plain,
( ( ! [P_1: $i] :
~ ! [X_2: $i,Y_1: $i] :
( P_1
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ X_2 ) @ Y_1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[663]) ).
thf(831,plain,
( ( ! [P_1: $i] :
~ ! [X_2: $i,Y_1: $i] :
( P_1
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ X_2 ) @ Y_1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[664]) ).
thf(832,plain,
( ( ! [P_1: $i] :
~ ! [X_2: $i,Y_1: $i] :
( P_1
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ X_2 ) @ Y_1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[665]) ).
thf(833,plain,
( ( ! [Y_2: $i] :
~ ! [A: $i,B_1: $i] :
( Y_2
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A ) @ B_1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[670]) ).
thf(834,plain,
( ( ! [Y_2: $i] :
~ ! [A: $i,B_1: $i] :
( Y_2
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A ) @ B_1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[671]) ).
thf(835,plain,
( ( ! [Y_2: $i] :
~ ! [A: $i,B_1: $i] :
( Y_2
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ B_1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[672]) ).
thf(836,plain,
( ( ! [S_6: $i,R_1: $i] :
( ! [X_2: $i,Xa: $i] :
( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ X_2 ) @ Xa ) @ R_1 ) )
<=> ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ X_2 ) @ Xa ) @ S_6 ) ) )
<=> ( R_1 = S_6 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[674]) ).
thf(837,plain,
( ( ! [S_6: $i,R_1: $i] :
( ! [X_2: $i,Xa: $i] :
( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ X_2 ) @ Xa ) @ R_1 ) )
<=> ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ X_2 ) @ Xa ) @ S_6 ) ) )
<=> ( R_1 = S_6 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[678]) ).
thf(838,plain,
( ( ! [S_6: $i,R_1: $i] :
( ! [X_2: $i,Xa: $i] :
( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ X_2 ) @ Xa ) @ R_1 ) )
<=> ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ X_2 ) @ Xa ) @ S_6 ) ) )
<=> ( R_1 = S_6 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[679]) ).
thf(839,plain,
( ( ! [X_1: $i,Pa: $i] :
( ! [A: $i,B_1: $i,C_4: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ B_1 ) @ C_4 ) ) ) )
=> ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ X_1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[682]) ).
thf(840,plain,
( ( ! [X_1: $i,Pa: $i] :
( ! [A: $i,B_1: $i,C_4: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ B_1 ) @ C_4 ) ) ) )
=> ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ X_1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[683]) ).
thf(841,plain,
( ( ! [Y_2: $i] :
~ ! [A: $i,B_1: $i,C_4: $i] :
( Y_2
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ B_1 ) @ C_4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[685]) ).
thf(842,plain,
( ( ! [Y_2: $i] :
~ ! [A: $i,B_1: $i,C_4: $i] :
( Y_2
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ B_1 ) @ C_4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[686]) ).
thf(843,plain,
( ( ! [P_4: $i,T_5: $i] : ( hBOOL @ ( widen_2090681816t_char @ P_4 @ T_5 @ T_5 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[689]) ).
thf(844,plain,
( ( ! [F_1: $i,X_1: $i,Y_2: $i] :
( ( ( fun_up1149430426on_val @ F_1 @ X_1 @ Y_2 )
= F_1 )
<=> ( ( hAPP_l207779698on_val @ F_1 @ X_1 )
= Y_2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[693]) ).
thf(845,plain,
( ( ! [F_1: $i,X_1: $i,Y_2: $i,Z: $i] :
( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ F_1 @ X_1 @ Y_2 ) @ X_1 @ Z )
= ( fun_up1149430426on_val @ F_1 @ X_1 @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[697]) ).
thf(846,plain,
( ( ! [F_1: $i,X_1: $i,Y_2: $i] :
( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F_1 @ X_1 @ Y_2 ) @ X_1 )
= Y_2 ) )
= $true ),
inference(unfold_def,[status(thm)],[701]) ).
thf(847,plain,
( ( ! [F_1: $i,Y_2: $i,Z: $i,X_1: $i] :
( ( ( Z = X_1 )
=> ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F_1 @ X_1 @ Y_2 ) @ Z )
= Y_2 ) )
& ( ( Z != X_1 )
=> ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F_1 @ X_1 @ Y_2 ) @ Z )
= ( hAPP_l207779698on_val @ F_1 @ Z ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[705]) ).
thf(848,plain,
( ( ! [M: $i,B: $i,D_1: $i,A_1: $i,C: $i] :
( ( A_1 != C )
=> ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ M @ A_1 @ B ) @ C @ D_1 )
= ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ M @ C @ D_1 ) @ A_1 @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[709]) ).
thf(849,plain,
( ( ! [F_1: $i,Y_2: $i,Z: $i,X_1: $i] :
( ( Z != X_1 )
=> ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F_1 @ X_1 @ Y_2 ) @ Z )
= ( hAPP_l207779698on_val @ F_1 @ Z ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[713]) ).
thf(850,plain,
( ( ! [F_1: $i,X_1: $i,Y_2: $i] :
( ( ( hAPP_l207779698on_val @ F_1 @ X_1 )
= Y_2 )
=> ( ( fun_up1149430426on_val @ F_1 @ X_1 @ Y_2 )
= F_1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[717]) ).
thf(851,plain,
( ( ! [F_1: $i,B: $i,A_1: $i,X_2: $i] :
( ( ( X_2 = A_1 )
=> ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F_1 @ A_1 @ B ) @ X_2 )
= B ) )
& ( ( X_2 != A_1 )
=> ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F_1 @ A_1 @ B ) @ X_2 )
= ( hAPP_l207779698on_val @ F_1 @ X_2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[721]) ).
thf(852,plain,
( ( ! [Pa: $i] :
( ! [X1: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ X1 ) )
<=> ! [A: $i,B_1: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A ) @ B_1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[726]) ).
thf(853,plain,
( ( ! [Pa: $i] :
( ! [X1: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ X1 ) )
<=> ! [A: $i,B_1: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A ) @ B_1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[727]) ).
thf(854,plain,
( ( ! [Pa: $i] :
( ! [X1: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ X1 ) )
<=> ! [A: $i,B_1: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ B_1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[728]) ).
thf(855,plain,
( ( ! [A_1: $i,B: $i,A_13: $i,B_2: $i] :
( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_1 ) @ B )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_13 ) @ B_2 ) )
<=> ( ( A_1 = A_13 )
& ( B = B_2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[733]) ).
thf(856,plain,
( ( ! [A_1: $i,B: $i,A_13: $i,B_2: $i] :
( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_1 ) @ B )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_13 ) @ B_2 ) )
<=> ( ( A_1 = A_13 )
& ( B = B_2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[734]) ).
thf(857,plain,
( ( ! [A_1: $i,B: $i,A_13: $i,B_2: $i] :
( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_1 ) @ B )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_13 ) @ B_2 ) )
<=> ( ( A_1 = A_13 )
& ( B = B_2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[735]) ).
thf(858,plain,
( ( ! [A_1: $i,B: $i,A_13: $i,B_2: $i] :
( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_1 ) @ B )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_13 ) @ B_2 ) )
=> ~ ( ( A_1 = A_13 )
=> ( B != B_2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[740]) ).
thf(859,plain,
( ( ! [A_1: $i,B: $i,A_13: $i,B_2: $i] :
( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_1 ) @ B )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_13 ) @ B_2 ) )
=> ~ ( ( A_1 = A_13 )
=> ( B != B_2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[741]) ).
thf(860,plain,
( ( ! [A_1: $i,B: $i,A_13: $i,B_2: $i] :
( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_1 ) @ B )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_13 ) @ B_2 ) )
=> ~ ( ( A_1 = A_13 )
=> ( B != B_2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[742]) ).
thf(861,plain,
( ( ! [Y_2: $i] :
~ ! [A: $i,B_1: $i,C_4: $i,D_2: $i] :
( Y_2
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ B_1 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ C_4 ) @ D_2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[744]) ).
thf(862,plain,
( ( ! [X_1: $i,Pa: $i] :
( ! [A: $i,B_1: $i,C_4: $i,D_2: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ B_1 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ C_4 ) @ D_2 ) ) ) ) )
=> ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ X_1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[745]) ).
thf(863,plain,
( ( ! [M: $i,A_1: $i,X_1: $i,N: $i,Y_2: $i] :
( ( ( fun_up204312361on_val @ M @ A_1 @ ( hAPP_val_option_val @ some_val @ X_1 ) )
= ( fun_up204312361on_val @ N @ A_1 @ ( hAPP_val_option_val @ some_val @ Y_2 ) ) )
=> ( X_1 = Y_2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[747]) ).
thf(864,plain,
( ( ! [M: $i,A_1: $i,X_1: $i,N: $i,Y_2: $i] :
( ( ( fun_up1149430426on_val @ M @ A_1 @ ( hAPP_val_option_val @ some_val @ X_1 ) )
= ( fun_up1149430426on_val @ N @ A_1 @ ( hAPP_val_option_val @ some_val @ Y_2 ) ) )
=> ( X_1 = Y_2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[750]) ).
thf(865,plain,
( ( ! [T_6: $i,K: $i,X_1: $i] :
( ( ( hAPP_l207779698on_val @ T_6 @ K )
= ( hAPP_val_option_val @ some_val @ X_1 ) )
=> ( ( fun_up1149430426on_val @ T_6 @ K @ ( hAPP_val_option_val @ some_val @ X_1 ) )
= T_6 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[754]) ).
thf(866,plain,
( ( ! [M: $i,A_1: $i,B: $i,X_1: $i,Y_2: $i] :
( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ M @ A_1 @ ( hAPP_val_option_val @ some_val @ B ) ) @ X_1 )
= ( hAPP_val_option_val @ some_val @ Y_2 ) )
<=> ( ( ( X_1 = A_1 )
& ( B = Y_2 ) )
| ( ( X_1 != A_1 )
& ( ( hAPP_l207779698on_val @ M @ X_1 )
= ( hAPP_val_option_val @ some_val @ Y_2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[758]) ).
thf(867,plain,
( ( ! [F_1: $i,X_1: $i] :
( ( fun_up1149430426on_val @ F_1 @ X_1 @ ( hAPP_l207779698on_val @ F_1 @ X_1 ) )
= F_1 ) )
= $true ),
inference(unfold_def,[status(thm)],[763]) ).
thf(868,plain,
( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ea ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( hAPP_val_option_val @ some_val @ v ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ e_a ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ h_a ) @ l_a ) ) ) @ ( red @ p ) ) )
= $true ),
inference(unfold_def,[status(thm)],[764]) ).
thf(869,plain,
( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( member773094996on_val @ B_1_1 @ B_2_1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[804]) ).
thf(870,plain,
( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ea ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( hAPP_val_option_val @ some_val @ v ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ e_a ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ h_a ) @ l_a ) ) ) @ ( red @ p ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[807]) ).
thf(871,plain,
( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( member773094996on_val @ B_1_1 @ B_2_1 ) ) )
= $true ),
inference(copy,[status(thm)],[869]) ).
thf(872,plain,
( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ea ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( hAPP_val_option_val @ some_val @ v ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ e_a ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ h_a ) @ l_a ) ) ) @ ( red @ p ) ) )
= $true ),
inference(copy,[status(thm)],[868]) ).
thf(873,plain,
( ( ! [F_1: $i,X_1: $i] :
( ( fun_up1149430426on_val @ F_1 @ X_1 @ ( hAPP_l207779698on_val @ F_1 @ X_1 ) )
= F_1 ) )
= $true ),
inference(copy,[status(thm)],[867]) ).
thf(874,plain,
( ( ! [M: $i,A_1: $i,B: $i,X_1: $i,Y_2: $i] :
( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ M @ A_1 @ ( hAPP_val_option_val @ some_val @ B ) ) @ X_1 )
= ( hAPP_val_option_val @ some_val @ Y_2 ) )
<=> ( ( ( X_1 = A_1 )
& ( B = Y_2 ) )
| ( ( X_1 != A_1 )
& ( ( hAPP_l207779698on_val @ M @ X_1 )
= ( hAPP_val_option_val @ some_val @ Y_2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[866]) ).
thf(875,plain,
( ( ! [T_6: $i,K: $i,X_1: $i] :
( ( ( hAPP_l207779698on_val @ T_6 @ K )
= ( hAPP_val_option_val @ some_val @ X_1 ) )
=> ( ( fun_up1149430426on_val @ T_6 @ K @ ( hAPP_val_option_val @ some_val @ X_1 ) )
= T_6 ) ) )
= $true ),
inference(copy,[status(thm)],[865]) ).
thf(876,plain,
( ( ! [M: $i,A_1: $i,X_1: $i,N: $i,Y_2: $i] :
( ( ( fun_up1149430426on_val @ M @ A_1 @ ( hAPP_val_option_val @ some_val @ X_1 ) )
= ( fun_up1149430426on_val @ N @ A_1 @ ( hAPP_val_option_val @ some_val @ Y_2 ) ) )
=> ( X_1 = Y_2 ) ) )
= $true ),
inference(copy,[status(thm)],[864]) ).
thf(877,plain,
( ( ! [M: $i,A_1: $i,X_1: $i,N: $i,Y_2: $i] :
( ( ( fun_up204312361on_val @ M @ A_1 @ ( hAPP_val_option_val @ some_val @ X_1 ) )
= ( fun_up204312361on_val @ N @ A_1 @ ( hAPP_val_option_val @ some_val @ Y_2 ) ) )
=> ( X_1 = Y_2 ) ) )
= $true ),
inference(copy,[status(thm)],[863]) ).
thf(878,plain,
( ( ! [X_1: $i,Pa: $i] :
( ! [A: $i,B_1: $i,C_4: $i,D_2: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ B_1 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ C_4 ) @ D_2 ) ) ) ) )
=> ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ X_1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[862]) ).
thf(879,plain,
( ( ! [Y_2: $i] :
~ ! [A: $i,B_1: $i,C_4: $i,D_2: $i] :
( Y_2
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ B_1 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ C_4 ) @ D_2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[861]) ).
thf(880,plain,
( ( ! [A_1: $i,B: $i,A_13: $i,B_2: $i] :
( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_1 ) @ B )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_13 ) @ B_2 ) )
=> ~ ( ( A_1 = A_13 )
=> ( B != B_2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[860]) ).
thf(881,plain,
( ( ! [A_1: $i,B: $i,A_13: $i,B_2: $i] :
( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_1 ) @ B )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_13 ) @ B_2 ) )
=> ~ ( ( A_1 = A_13 )
=> ( B != B_2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[859]) ).
thf(882,plain,
( ( ! [A_1: $i,B: $i,A_13: $i,B_2: $i] :
( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_1 ) @ B )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_13 ) @ B_2 ) )
=> ~ ( ( A_1 = A_13 )
=> ( B != B_2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[858]) ).
thf(883,plain,
( ( ! [A_1: $i,B: $i,A_13: $i,B_2: $i] :
( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_1 ) @ B )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_13 ) @ B_2 ) )
<=> ( ( A_1 = A_13 )
& ( B = B_2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[857]) ).
thf(884,plain,
( ( ! [A_1: $i,B: $i,A_13: $i,B_2: $i] :
( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_1 ) @ B )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_13 ) @ B_2 ) )
<=> ( ( A_1 = A_13 )
& ( B = B_2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[856]) ).
thf(885,plain,
( ( ! [A_1: $i,B: $i,A_13: $i,B_2: $i] :
( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_1 ) @ B )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_13 ) @ B_2 ) )
<=> ( ( A_1 = A_13 )
& ( B = B_2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[855]) ).
thf(886,plain,
( ( ! [Pa: $i] :
( ! [X1: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ X1 ) )
<=> ! [A: $i,B_1: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ B_1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[854]) ).
thf(887,plain,
( ( ! [Pa: $i] :
( ! [X1: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ X1 ) )
<=> ! [A: $i,B_1: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A ) @ B_1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[853]) ).
thf(888,plain,
( ( ! [Pa: $i] :
( ! [X1: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ X1 ) )
<=> ! [A: $i,B_1: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A ) @ B_1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[852]) ).
thf(889,plain,
( ( ! [F_1: $i,B: $i,A_1: $i,X_2: $i] :
( ( ( X_2 = A_1 )
=> ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F_1 @ A_1 @ B ) @ X_2 )
= B ) )
& ( ( X_2 != A_1 )
=> ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F_1 @ A_1 @ B ) @ X_2 )
= ( hAPP_l207779698on_val @ F_1 @ X_2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[851]) ).
thf(890,plain,
( ( ! [F_1: $i,X_1: $i,Y_2: $i] :
( ( ( hAPP_l207779698on_val @ F_1 @ X_1 )
= Y_2 )
=> ( ( fun_up1149430426on_val @ F_1 @ X_1 @ Y_2 )
= F_1 ) ) )
= $true ),
inference(copy,[status(thm)],[850]) ).
thf(891,plain,
( ( ! [F_1: $i,Y_2: $i,Z: $i,X_1: $i] :
( ( Z != X_1 )
=> ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F_1 @ X_1 @ Y_2 ) @ Z )
= ( hAPP_l207779698on_val @ F_1 @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[849]) ).
thf(892,plain,
( ( ! [M: $i,B: $i,D_1: $i,A_1: $i,C: $i] :
( ( A_1 != C )
=> ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ M @ A_1 @ B ) @ C @ D_1 )
= ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ M @ C @ D_1 ) @ A_1 @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[848]) ).
thf(893,plain,
( ( ! [F_1: $i,Y_2: $i,Z: $i,X_1: $i] :
( ( ( Z = X_1 )
=> ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F_1 @ X_1 @ Y_2 ) @ Z )
= Y_2 ) )
& ( ( Z != X_1 )
=> ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F_1 @ X_1 @ Y_2 ) @ Z )
= ( hAPP_l207779698on_val @ F_1 @ Z ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[847]) ).
thf(894,plain,
( ( ! [F_1: $i,X_1: $i,Y_2: $i] :
( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F_1 @ X_1 @ Y_2 ) @ X_1 )
= Y_2 ) )
= $true ),
inference(copy,[status(thm)],[846]) ).
thf(895,plain,
( ( ! [F_1: $i,X_1: $i,Y_2: $i,Z: $i] :
( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ F_1 @ X_1 @ Y_2 ) @ X_1 @ Z )
= ( fun_up1149430426on_val @ F_1 @ X_1 @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[845]) ).
thf(896,plain,
( ( ! [F_1: $i,X_1: $i,Y_2: $i] :
( ( ( fun_up1149430426on_val @ F_1 @ X_1 @ Y_2 )
= F_1 )
<=> ( ( hAPP_l207779698on_val @ F_1 @ X_1 )
= Y_2 ) ) )
= $true ),
inference(copy,[status(thm)],[844]) ).
thf(897,plain,
( ( ! [P_4: $i,T_5: $i] : ( hBOOL @ ( widen_2090681816t_char @ P_4 @ T_5 @ T_5 ) ) )
= $true ),
inference(copy,[status(thm)],[843]) ).
thf(898,plain,
( ( ! [Y_2: $i] :
~ ! [A: $i,B_1: $i,C_4: $i] :
( Y_2
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ B_1 ) @ C_4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[842]) ).
thf(899,plain,
( ( ! [Y_2: $i] :
~ ! [A: $i,B_1: $i,C_4: $i] :
( Y_2
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ B_1 ) @ C_4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[841]) ).
thf(900,plain,
( ( ! [X_1: $i,Pa: $i] :
( ! [A: $i,B_1: $i,C_4: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ B_1 ) @ C_4 ) ) ) )
=> ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ X_1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[840]) ).
thf(901,plain,
( ( ! [X_1: $i,Pa: $i] :
( ! [A: $i,B_1: $i,C_4: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ B_1 ) @ C_4 ) ) ) )
=> ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ X_1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[839]) ).
thf(902,plain,
( ( ! [S_6: $i,R_1: $i] :
( ! [X_2: $i,Xa: $i] :
( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ X_2 ) @ Xa ) @ R_1 ) )
<=> ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ X_2 ) @ Xa ) @ S_6 ) ) )
<=> ( R_1 = S_6 ) ) )
= $true ),
inference(copy,[status(thm)],[838]) ).
thf(903,plain,
( ( ! [S_6: $i,R_1: $i] :
( ! [X_2: $i,Xa: $i] :
( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ X_2 ) @ Xa ) @ R_1 ) )
<=> ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ X_2 ) @ Xa ) @ S_6 ) ) )
<=> ( R_1 = S_6 ) ) )
= $true ),
inference(copy,[status(thm)],[837]) ).
thf(904,plain,
( ( ! [S_6: $i,R_1: $i] :
( ! [X_2: $i,Xa: $i] :
( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ X_2 ) @ Xa ) @ R_1 ) )
<=> ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ X_2 ) @ Xa ) @ S_6 ) ) )
<=> ( R_1 = S_6 ) ) )
= $true ),
inference(copy,[status(thm)],[836]) ).
thf(905,plain,
( ( ! [Y_2: $i] :
~ ! [A: $i,B_1: $i] :
( Y_2
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ B_1 ) ) )
= $true ),
inference(copy,[status(thm)],[835]) ).
thf(906,plain,
( ( ! [Y_2: $i] :
~ ! [A: $i,B_1: $i] :
( Y_2
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A ) @ B_1 ) ) )
= $true ),
inference(copy,[status(thm)],[834]) ).
thf(907,plain,
( ( ! [Y_2: $i] :
~ ! [A: $i,B_1: $i] :
( Y_2
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A ) @ B_1 ) ) )
= $true ),
inference(copy,[status(thm)],[833]) ).
thf(908,plain,
( ( ! [P_1: $i] :
~ ! [X_2: $i,Y_1: $i] :
( P_1
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ X_2 ) @ Y_1 ) ) )
= $true ),
inference(copy,[status(thm)],[832]) ).
thf(909,plain,
( ( ! [P_1: $i] :
~ ! [X_2: $i,Y_1: $i] :
( P_1
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ X_2 ) @ Y_1 ) ) )
= $true ),
inference(copy,[status(thm)],[831]) ).
thf(910,plain,
( ( ! [P_1: $i] :
~ ! [X_2: $i,Y_1: $i] :
( P_1
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ X_2 ) @ Y_1 ) ) )
= $true ),
inference(copy,[status(thm)],[830]) ).
thf(911,plain,
( ( ! [Pa: $i] :
( ? [X1: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ X1 ) )
<=> ? [A: $i,B_1: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A ) @ B_1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[829]) ).
thf(912,plain,
( ( ! [Pa: $i] :
( ? [X1: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ X1 ) )
<=> ? [A: $i,B_1: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A ) @ B_1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[828]) ).
thf(913,plain,
( ( ! [Pa: $i] :
( ? [X1: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ X1 ) )
<=> ? [A: $i,B_1: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A ) @ B_1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[827]) ).
thf(914,plain,
( ( ! [T_4: $i,P_2: $i,S_5: $i,U_1: $i] :
( ( hBOOL @ ( widen_2090681816t_char @ P_2 @ S_5 @ U_1 ) )
=> ( ( hBOOL @ ( widen_2090681816t_char @ P_2 @ U_1 @ T_4 ) )
=> ( hBOOL @ ( widen_2090681816t_char @ P_2 @ S_5 @ T_4 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[826]) ).
thf(915,plain,
( ( ! [Eb: $i,Hb: $i,Lb: $i,E_b: $i,H_b: $i,L_b: $i,Pa: $i] :
( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ Lb ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ L_b ) ) ) @ ( red @ Pa ) ) )
=> ( hBOOL @ ( hext @ Hb @ H_b ) ) ) )
= $true ),
inference(copy,[status(thm)],[825]) ).
thf(916,plain,
( ( ! [A_1: $i,A_13: $i] :
( ( ( hAPP_val_option_val @ some_val @ A_1 )
= ( hAPP_val_option_val @ some_val @ A_13 ) )
<=> ( A_1 = A_13 ) ) )
= $true ),
inference(copy,[status(thm)],[824]) ).
thf(917,plain,
( ( ! [L_0_1: $i,Eb: $i,Hb: $i,Lb: $i,E_b: $i,H_b: $i,L_b: $i,Pa: $i] :
( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ Lb ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ L_b ) ) ) @ ( red @ Pa ) ) )
=> ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ ( map_ad325961431ar_val @ L_0_1 @ Lb ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ ( map_ad325961431ar_val @ L_0_1 @ L_b ) ) ) ) @ ( red @ Pa ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[823]) ).
thf(918,plain,
( ( ! [X_1: $i,A_8: $i] :
( ( hBOOL @ ( member773094996on_val @ X_1 @ A_8 ) )
<=> ( hBOOL @ ( hAPP_P282169671l_bool @ A_8 @ X_1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[822]) ).
thf(919,plain,
( ( ! [Va_1: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( red @ Pa ) ) )
=> ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ Va_1 @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ Va_1 @ E_b ) ) @ S ) ) @ ( red @ Pa ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[821]) ).
thf(920,plain,
( ( ! [E_2: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( red @ Pa ) ) )
=> ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ Eb @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ E_b @ E_2 ) ) @ S ) ) @ ( red @ Pa ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[820]) ).
thf(921,plain,
( ( ! [F_1: $i,G: $i,X_1: $i,Y_2: $i] :
( ( map_ad325961431ar_val @ F_1 @ ( fun_up1149430426on_val @ G @ X_1 @ ( hAPP_val_option_val @ some_val @ Y_2 ) ) )
= ( fun_up1149430426on_val @ ( map_ad325961431ar_val @ F_1 @ G ) @ X_1 @ ( hAPP_val_option_val @ some_val @ Y_2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[819]) ).
thf(922,plain,
( ( ! [Hb: $i] : ( hBOOL @ ( hext @ Hb @ Hb ) ) )
= $true ),
inference(copy,[status(thm)],[818]) ).
thf(923,plain,
( ( ! [H_3: $i,Hb: $i,H_b: $i] :
( ( hBOOL @ ( hext @ Hb @ H_b ) )
=> ( ( hBOOL @ ( hext @ H_b @ H_3 ) )
=> ( hBOOL @ ( hext @ Hb @ H_3 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[817]) ).
thf(924,plain,
( ( ! [F: $i,D: $i,E_2: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( red @ Pa ) ) )
=> ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ Eb @ F @ D @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ E_b @ F @ D @ E_2 ) ) @ S ) ) @ ( red @ Pa ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[816]) ).
thf(925,plain,
( ( ! [F: $i,D: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( red @ Pa ) ) )
=> ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ Eb @ F @ D ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ E_b @ F @ D ) ) @ S ) ) @ ( red @ Pa ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[815]) ).
thf(926,plain,
( ( ! [Eb: $i,S_2: $i,Pa: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ ( throw_list_char @ Eb ) ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2 ) ) @ ( red @ Pa ) ) ) )
= $true ),
inference(copy,[status(thm)],[814]) ).
thf(927,plain,
( ( ! [Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( red @ Pa ) ) )
=> ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ E_b ) ) @ S ) ) @ ( red @ Pa ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[813]) ).
thf(928,plain,
( ( ! [C_1: $i,Va_1: $i,E_2: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( red @ Pa ) ) )
=> ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ Eb @ C_1 @ Va_1 @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ E_b @ C_1 @ Va_1 @ E_2 ) ) @ S ) ) @ ( red @ Pa ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[812]) ).
thf(929,plain,
( ( ! [C_1: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( red @ Pa ) ) )
=> ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ C_1 @ Eb ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ C_1 @ E_b ) ) @ S ) ) @ ( red @ Pa ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[811]) ).
thf(930,plain,
( ( ! [Bop: $i,E_2: $i,Eb: $i,S_2: $i,E_b: $i,S: $i,Pa: $i] :
( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S ) ) @ ( red @ Pa ) ) )
=> ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ Eb @ Bop @ E_2 ) ) @ S_2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ E_b @ Bop @ E_2 ) ) @ S ) ) @ ( red @ Pa ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[810]) ).
thf(931,plain,
( ( ! [Bool: $i,Bool_1: $i] :
( ( ( bool @ Bool )
= ( bool @ Bool_1 ) )
<=> ( ( hBOOL @ Bool )
<=> ( hBOOL @ Bool_1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[809]) ).
thf(932,plain,
( ( ~ ( hBOOL @ fFalse ) )
= $true ),
inference(copy,[status(thm)],[808]) ).
thf(933,plain,
( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ea ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( hAPP_val_option_val @ some_val @ v ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ e_a ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ h_a ) @ l_a ) ) ) @ ( red @ p ) ) ) )
= $true ),
inference(copy,[status(thm)],[870]) ).
thf(934,plain,
( ( ! [SX0: $i,SX1: $i,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)],[891]) ).
thf(935,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ~ ( hBOOL @ ( 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 ) ) @ ( red @ SX4 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SX0 ) ) @ SX1 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SX2 ) ) @ SX3 ) ) @ ( red @ SX4 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[927]) ).
thf(936,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX0 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX1 ) @ SX2 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX3 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX4 ) @ SX5 ) ) ) @ ( red @ SX6 ) ) )
| ( hBOOL @ ( hext @ SX1 @ SX4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[915]) ).
thf(937,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ! [SX2: $i,SX3: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ SX3 ) @ SX1 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ SX3 ) @ SX0 ) ) )
| ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ SX3 ) @ SX0 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ SX3 ) @ SX1 ) ) ) )
| ( SX1 = SX0 ) )
| ~ ( ( SX1 != SX0 )
| ! [SX2: $i,SX3: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ SX3 ) @ SX1 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ SX3 ) @ SX0 ) ) )
| ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ SX3 ) @ SX0 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ SX3 ) @ SX1 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[904]) ).
thf(938,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX2 ) @ SX3 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX4 ) @ SX5 ) ) @ ( red @ SX6 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SX2 @ SX0 @ SX1 ) ) @ SX3 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SX4 @ SX0 @ SX1 ) ) @ SX5 ) ) @ ( red @ SX6 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[925]) ).
thf(939,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i,SX2: $i] :
( SX0
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX1 ) @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[910]) ).
thf(940,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ! [SX1: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ SX1 ) )
| ! [SX1: $i,SX2: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX1 ) @ SX2 ) ) ) )
| ~ ( ~ ! [SX1: $i,SX2: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX1 ) @ SX2 ) ) )
| ! [SX1: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[886]) ).
thf(941,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i,SX7: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX3 ) @ SX4 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX5 ) @ SX6 ) ) @ ( red @ SX7 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SX3 @ SX0 @ SX1 @ SX2 ) ) @ SX4 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SX5 @ SX0 @ SX1 @ SX2 ) ) @ SX6 ) ) @ ( red @ SX7 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[924]) ).
thf(942,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 )
| ( SX1 != SX3 ) ) )
| ~ ( ~ ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) )
| ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX0 ) @ SX1 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX2 ) @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[884]) ).
thf(943,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( ( hAPP_l207779698on_val @ SX0 @ SX1 )
!= SX2 )
| ( ( fun_up1149430426on_val @ SX0 @ SX1 @ SX2 )
= SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[890]) ).
thf(944,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ~ ! [SX1: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ SX1 ) )
| ~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX1 ) @ SX2 ) ) ) )
| ~ ( ~ ~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX1 ) @ SX2 ) ) )
| ~ ! [SX1: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[912]) ).
thf(945,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 )
| ( SX1 != SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[881]) ).
thf(946,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( ( hAPP_l207779698on_val @ SX0 @ SX1 )
!= ( hAPP_val_option_val @ some_val @ SX2 ) )
| ( ( fun_up1149430426on_val @ SX0 @ SX1 @ ( hAPP_val_option_val @ some_val @ SX2 ) )
= SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[875]) ).
thf(947,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ( ( fun_up1149430426on_val @ SX0 @ SX1 @ ( hAPP_val_option_val @ some_val @ SX2 ) )
!= ( fun_up1149430426on_val @ SX3 @ SX1 @ ( hAPP_val_option_val @ some_val @ SX4 ) ) )
| ( SX2 = SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[876]) ).
thf(948,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 )
| ( SX1 != SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[882]) ).
thf(949,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
( ~ ( hBOOL @ ( 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 ) ) @ ( red @ SX5 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SX0 @ SX1 ) ) @ SX2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SX0 @ SX3 ) ) @ SX4 ) ) @ ( red @ SX5 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[929]) ).
thf(950,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( SX0
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX1 ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX2 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX3 ) @ SX4 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[879]) ).
thf(951,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i,SX2: $i] :
( SX0
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX1 ) @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[905]) ).
thf(952,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ( ( bool @ SX0 )
!= ( bool @ SX1 ) )
| ~ ( ~ ( ~ ( hBOOL @ SX0 )
| ( hBOOL @ SX1 ) )
| ~ ( ~ ( hBOOL @ SX1 )
| ( hBOOL @ SX0 ) ) ) )
| ~ ( ~ ~ ( ~ ( ~ ( hBOOL @ SX0 )
| ( hBOOL @ SX1 ) )
| ~ ( ~ ( hBOOL @ SX1 )
| ( hBOOL @ SX0 ) ) )
| ( ( bool @ SX0 )
= ( bool @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[931]) ).
thf(953,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ! [SX1: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ SX1 ) )
| ! [SX1: $i,SX2: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX1 ) @ SX2 ) ) ) )
| ~ ( ~ ! [SX1: $i,SX2: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX1 ) @ SX2 ) ) )
| ! [SX1: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[887]) ).
thf(954,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i,SX7: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX1 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX2 ) @ SX3 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX4 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX5 ) @ SX6 ) ) ) @ ( red @ SX7 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX1 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX2 ) @ ( map_ad325961431ar_val @ SX0 @ SX3 ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX4 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX5 ) @ ( map_ad325961431ar_val @ SX0 @ SX6 ) ) ) ) @ ( red @ SX7 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[917]) ).
thf(955,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i,SX2: $i,SX3: $i] :
( SX0
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX1 ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX2 ) @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[898]) ).
thf(956,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ! [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SX1 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX3 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX4 ) @ SX5 ) ) ) ) )
| ( hBOOL @ ( hAPP_P282169671l_bool @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[878]) ).
thf(957,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 )
| ( SX1 != SX3 ) ) )
| ~ ( ~ ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) )
| ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX0 ) @ SX1 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX2 ) @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[885]) ).
thf(958,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i,SX2: $i] :
( SX0
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX1 ) @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[906]) ).
thf(959,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 )
| ( SX1 != SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[880]) ).
thf(960,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ SX0 @ SX1 ) )
| ( hBOOL @ ( hAPP_P282169671l_bool @ SX1 @ SX0 ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SX1 @ SX0 ) )
| ( hBOOL @ ( member773094996on_val @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[918]) ).
thf(961,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i,SX2: $i] :
( SX0
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX1 ) @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[909]) ).
thf(962,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ! [SX1: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ SX1 ) )
| ! [SX1: $i,SX2: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX1 ) @ SX2 ) ) ) )
| ~ ( ~ ! [SX1: $i,SX2: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX1 ) @ SX2 ) ) )
| ! [SX1: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[888]) ).
thf(963,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
( ~ ( hBOOL @ ( 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 ) ) @ ( red @ SX5 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SX0 @ SX1 ) ) @ SX2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SX0 @ SX3 ) ) @ SX4 ) ) @ ( red @ SX5 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[919]) ).
thf(964,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ( hBOOL @ ( widen_2090681816t_char @ SX1 @ SX2 @ SX3 ) )
| ~ ( hBOOL @ ( widen_2090681816t_char @ SX1 @ SX3 @ SX0 ) )
| ( hBOOL @ ( widen_2090681816t_char @ SX1 @ SX2 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[914]) ).
thf(965,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i,SX2: $i] :
( SX0
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX1 ) @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[908]) ).
thf(966,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ! [SX2: $i,SX3: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX2 ) @ SX3 ) @ SX1 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX2 ) @ SX3 ) @ SX0 ) ) )
| ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX2 ) @ SX3 ) @ SX0 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX2 ) @ SX3 ) @ SX1 ) ) ) )
| ( SX1 = SX0 ) )
| ~ ( ( SX1 != SX0 )
| ! [SX2: $i,SX3: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX2 ) @ SX3 ) @ SX1 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX2 ) @ SX3 ) @ SX0 ) ) )
| ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX2 ) @ SX3 ) @ SX0 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX2 ) @ SX3 ) @ SX1 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[903]) ).
thf(967,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ! [SX2: $i,SX3: $i,SX4: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SX1 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX3 ) @ SX4 ) ) ) )
| ( hBOOL @ ( hAPP_P282169671l_bool @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[900]) ).
thf(968,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i,SX7: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX3 ) @ SX4 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX5 ) @ SX6 ) ) @ ( red @ SX7 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SX3 @ SX0 @ SX1 @ SX2 ) ) @ SX4 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SX5 @ SX0 @ SX1 @ SX2 ) ) @ SX6 ) ) @ ( red @ SX7 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[928]) ).
thf(969,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 )
| ( SX2 != SX4 ) )
| ~ ( ~ ( ( SX3 != SX1 ) )
| ( ( hAPP_l207779698on_val @ SX0 @ SX3 )
!= ( hAPP_val_option_val @ some_val @ SX4 ) ) ) )
| ~ ( ~ ( ~ ( ( SX3 != SX1 )
| ( SX2 != SX4 ) )
| ~ ( ~ ( ( 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)],[874]) ).
thf(970,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ( ~ ( ( ( fun_up1149430426on_val @ SX0 @ SX1 @ SX2 )
!= SX0 )
| ( ( hAPP_l207779698on_val @ SX0 @ SX1 )
= SX2 ) )
| ~ ( ( ( hAPP_l207779698on_val @ SX0 @ SX1 )
!= SX2 )
| ( ( fun_up1149430426on_val @ SX0 @ SX1 @ SX2 )
= SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[896]) ).
thf(971,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i,SX2: $i] :
( SX0
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX1 ) @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[907]) ).
thf(972,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i,SX2: $i,SX3: $i] :
( SX0
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX1 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX2 ) @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[899]) ).
thf(973,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ! [SX2: $i,SX3: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX2 ) @ SX3 ) @ SX1 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX2 ) @ SX3 ) @ SX0 ) ) )
| ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX2 ) @ SX3 ) @ SX0 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX2 ) @ SX3 ) @ SX1 ) ) ) )
| ( SX1 = SX0 ) )
| ~ ( ( SX1 != SX0 )
| ! [SX2: $i,SX3: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX2 ) @ SX3 ) @ SX1 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX2 ) @ SX3 ) @ SX0 ) ) )
| ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX2 ) @ SX3 ) @ SX0 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX2 ) @ SX3 ) @ SX1 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[902]) ).
thf(974,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
~ ( ~ ( ( SX2 != SX3 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SX0 @ SX3 @ SX1 ) @ SX2 )
= SX1 ) )
| ~ ( ~ ( ( SX2 != SX3 ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SX0 @ SX3 @ SX1 ) @ SX2 )
= ( hAPP_l207779698on_val @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[893]) ).
thf(975,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
( ~ ( hBOOL @ ( 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 ) ) @ ( red @ SX5 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SX1 @ SX0 ) ) @ SX2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SX3 @ SX0 ) ) @ SX4 ) ) @ ( red @ SX5 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[920]) ).
thf(976,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 )
| ( SX1 != SX3 ) ) )
| ~ ( ~ ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) )
| ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX0 ) @ SX1 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[883]) ).
thf(977,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ( ( fun_up204312361on_val @ SX0 @ SX1 @ ( hAPP_val_option_val @ some_val @ SX2 ) )
!= ( fun_up204312361on_val @ SX3 @ SX1 @ ( hAPP_val_option_val @ some_val @ SX4 ) ) )
| ( SX2 = SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[877]) ).
thf(978,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ( ( hAPP_val_option_val @ some_val @ SX0 )
!= ( hAPP_val_option_val @ some_val @ SX1 ) )
| ( SX0 = SX1 ) )
| ~ ( ( SX0 != SX1 )
| ( ( hAPP_val_option_val @ some_val @ SX0 )
= ( hAPP_val_option_val @ some_val @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[916]) ).
thf(979,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ~ ( ( SX3 != SX4 ) )
| ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SX0 @ SX3 @ SX1 ) @ SX4 @ SX2 )
= ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SX0 @ SX4 @ SX2 ) @ SX3 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[892]) ).
thf(980,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ~ ! [SX1: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ SX1 ) )
| ~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX1 ) @ SX2 ) ) ) )
| ~ ( ~ ~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX1 ) @ SX2 ) ) )
| ~ ! [SX1: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[911]) ).
thf(981,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX2 ) @ SX3 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX4 ) @ SX5 ) ) @ ( red @ SX6 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SX2 @ SX0 @ SX1 ) ) @ SX3 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SX4 @ SX0 @ SX1 ) ) @ SX5 ) ) @ ( red @ SX6 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[930]) ).
thf(982,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
~ ( ~ ( ( SX3 != SX2 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SX0 @ SX2 @ SX1 ) @ SX3 )
= SX1 ) )
| ~ ( ~ ( ( SX3 != SX2 ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SX0 @ SX2 @ SX1 ) @ SX3 )
= ( hAPP_l207779698on_val @ SX0 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[889]) ).
thf(983,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( hBOOL @ ( hext @ SX1 @ SX2 ) )
| ~ ( hBOOL @ ( hext @ SX2 @ SX0 ) )
| ( hBOOL @ ( hext @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[923]) ).
thf(984,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ! [SX2: $i,SX3: $i,SX4: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SX1 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX2 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX3 ) @ SX4 ) ) ) )
| ( hBOOL @ ( hAPP_P1708370145l_bool @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[901]) ).
thf(985,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ~ ! [SX1: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ SX1 ) )
| ~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX1 ) @ SX2 ) ) ) )
| ~ ( ~ ~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX1 ) @ SX2 ) ) )
| ~ ! [SX1: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[913]) ).
thf(986,plain,
! [SV1: $i] :
( ( ! [SY250: $i] : ( is_bool @ ( member773094996on_val @ SV1 @ SY250 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[871]) ).
thf(987,plain,
! [SV2: $i] :
( ( ! [SY251: $i] :
( ( fun_up1149430426on_val @ SV2 @ SY251 @ ( hAPP_l207779698on_val @ SV2 @ SY251 ) )
= SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[873]) ).
thf(988,plain,
! [SV3: $i] :
( ( ! [SY252: $i,SY253: $i] :
( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV3 @ SY252 @ SY253 ) @ SY252 )
= SY253 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[894]) ).
thf(989,plain,
! [SV4: $i] :
( ( ! [SY254: $i,SY255: $i,SY256: $i] :
( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV4 @ SY254 @ SY255 ) @ SY254 @ SY256 )
= ( fun_up1149430426on_val @ SV4 @ SY254 @ SY256 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[895]) ).
thf(990,plain,
! [SV5: $i] :
( ( ! [SY257: $i] : ( hBOOL @ ( widen_2090681816t_char @ SV5 @ SY257 @ SY257 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[897]) ).
thf(991,plain,
! [SV6: $i] :
( ( ! [SY258: $i,SY259: $i,SY260: $i] :
( ( map_ad325961431ar_val @ SV6 @ ( fun_up1149430426on_val @ SY258 @ SY259 @ ( hAPP_val_option_val @ some_val @ SY260 ) ) )
= ( fun_up1149430426on_val @ ( map_ad325961431ar_val @ SV6 @ SY258 ) @ SY259 @ ( hAPP_val_option_val @ some_val @ SY260 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[921]) ).
thf(992,plain,
! [SV7: $i] :
( ( hBOOL @ ( hext @ SV7 @ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[922]) ).
thf(993,plain,
! [SV8: $i] :
( ( ! [SY261: $i,SY262: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ ( throw_list_char @ SV8 ) ) ) @ SY261 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV8 ) ) @ SY261 ) ) @ ( red @ SY262 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[926]) ).
thf(994,plain,
( ( hBOOL @ fFalse )
= $false ),
inference(extcnf_not_pos,[status(thm)],[932]) ).
thf(995,plain,
( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ea ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( hAPP_val_option_val @ some_val @ v ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ e_a ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ h_a ) @ l_a ) ) ) @ ( red @ p ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[933]) ).
thf(996,plain,
! [SV9: $i] :
( ( ! [SY263: $i,SY264: $i,SY265: $i] :
( ~ ( ( SY264 != SY265 ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV9 @ SY265 @ SY263 ) @ SY264 )
= ( hAPP_l207779698on_val @ SV9 @ SY264 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[934]) ).
thf(997,plain,
! [SV10: $i] :
( ( ! [SY266: $i,SY267: $i,SY268: $i,SY269: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV10 ) @ SY266 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY267 ) @ SY268 ) ) @ ( red @ SY269 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV10 ) ) @ SY266 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY267 ) ) @ SY268 ) ) @ ( red @ SY269 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[935]) ).
thf(998,plain,
! [SV11: $i] :
( ( ! [SY270: $i,SY271: $i,SY272: $i,SY273: $i,SY274: $i,SY275: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV11 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY270 ) @ SY271 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY272 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY273 ) @ SY274 ) ) ) @ ( red @ SY275 ) ) )
| ( hBOOL @ ( hext @ SY270 @ SY273 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[936]) ).
thf(999,plain,
! [SV12: $i] :
( ( ! [SY276: $i] :
~ ( ~ ( ~ ! [SY277: $i,SY278: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY277 ) @ SY278 ) @ SY276 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY277 ) @ SY278 ) @ SV12 ) ) )
| ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY277 ) @ SY278 ) @ SV12 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY277 ) @ SY278 ) @ SY276 ) ) ) )
| ( SY276 = SV12 ) )
| ~ ( ( SY276 != SV12 )
| ! [SY279: $i,SY280: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY279 ) @ SY280 ) @ SY276 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY279 ) @ SY280 ) @ SV12 ) ) )
| ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY279 ) @ SY280 ) @ SV12 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY279 ) @ SY280 ) @ SY276 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[937]) ).
thf(1000,plain,
! [SV13: $i] :
( ( ! [SY281: $i,SY282: $i,SY283: $i,SY284: $i,SY285: $i,SY286: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY282 ) @ SY283 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY284 ) @ SY285 ) ) @ ( red @ SY286 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SY282 @ SV13 @ SY281 ) ) @ SY283 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SY284 @ SV13 @ SY281 ) ) @ SY285 ) ) @ ( red @ SY286 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[938]) ).
thf(1001,plain,
! [SV14: $i] :
( ( ~ ! [SY287: $i,SY288: $i] :
( SV14
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY287 ) @ SY288 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[939]) ).
thf(1002,plain,
! [SV15: $i] :
( ( ~ ( ~ ( ~ ! [SY289: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV15 @ SY289 ) )
| ! [SY290: $i,SY291: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV15 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY290 ) @ SY291 ) ) ) )
| ~ ( ~ ! [SY292: $i,SY293: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV15 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY292 ) @ SY293 ) ) )
| ! [SY294: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV15 @ SY294 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[940]) ).
thf(1003,plain,
! [SV16: $i] :
( ( ! [SY295: $i,SY296: $i,SY297: $i,SY298: $i,SY299: $i,SY300: $i,SY301: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY297 ) @ SY298 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY299 ) @ SY300 ) ) @ ( red @ SY301 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SY297 @ SV16 @ SY295 @ SY296 ) ) @ SY298 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SY299 @ SV16 @ SY295 @ SY296 ) ) @ SY300 ) ) @ ( red @ SY301 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[941]) ).
thf(1004,plain,
! [SV17: $i] :
( ( ! [SY302: $i,SY303: $i,SY304: $i] :
~ ( ~ ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV17 ) @ SY302 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY303 ) @ SY304 ) )
| ~ ( ( SV17 != SY303 )
| ( SY302 != SY304 ) ) )
| ~ ( ~ ~ ( ( SV17 != SY303 )
| ( SY302 != SY304 ) )
| ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV17 ) @ SY302 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY303 ) @ SY304 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[942]) ).
thf(1005,plain,
! [SV18: $i] :
( ( ! [SY305: $i,SY306: $i] :
( ( ( hAPP_l207779698on_val @ SV18 @ SY305 )
!= SY306 )
| ( ( fun_up1149430426on_val @ SV18 @ SY305 @ SY306 )
= SV18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[943]) ).
thf(1006,plain,
! [SV19: $i] :
( ( ~ ( ~ ( ~ ~ ! [SY307: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV19 @ SY307 ) )
| ~ ! [SY308: $i] :
~ ~ ! [SY309: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV19 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY308 ) @ SY309 ) ) ) )
| ~ ( ~ ~ ! [SY310: $i] :
~ ~ ! [SY311: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV19 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY310 ) @ SY311 ) ) )
| ~ ! [SY312: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV19 @ SY312 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[944]) ).
thf(1007,plain,
! [SV20: $i] :
( ( ! [SY313: $i,SY314: $i,SY315: $i] :
( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV20 ) @ SY313 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY314 ) @ SY315 ) )
| ~ ( ( SV20 != SY314 )
| ( SY313 != SY315 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[945]) ).
thf(1008,plain,
! [SV21: $i] :
( ( ! [SY316: $i,SY317: $i] :
( ( ( hAPP_l207779698on_val @ SV21 @ SY316 )
!= ( hAPP_val_option_val @ some_val @ SY317 ) )
| ( ( fun_up1149430426on_val @ SV21 @ SY316 @ ( hAPP_val_option_val @ some_val @ SY317 ) )
= SV21 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[946]) ).
thf(1009,plain,
! [SV22: $i] :
( ( ! [SY318: $i,SY319: $i,SY320: $i,SY321: $i] :
( ( ( fun_up1149430426on_val @ SV22 @ SY318 @ ( hAPP_val_option_val @ some_val @ SY319 ) )
!= ( fun_up1149430426on_val @ SY320 @ SY318 @ ( hAPP_val_option_val @ some_val @ SY321 ) ) )
| ( SY319 = SY321 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[947]) ).
thf(1010,plain,
! [SV23: $i] :
( ( ! [SY322: $i,SY323: $i,SY324: $i] :
( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV23 ) @ SY322 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY323 ) @ SY324 ) )
| ~ ( ( SV23 != SY323 )
| ( SY322 != SY324 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[948]) ).
thf(1011,plain,
! [SV24: $i] :
( ( ! [SY325: $i,SY326: $i,SY327: $i,SY328: $i,SY329: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY325 ) @ SY326 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY327 ) @ SY328 ) ) @ ( red @ SY329 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV24 @ SY325 ) ) @ SY326 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV24 @ SY327 ) ) @ SY328 ) ) @ ( red @ SY329 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[949]) ).
thf(1012,plain,
! [SV25: $i] :
( ( ~ ! [SY330: $i,SY331: $i,SY332: $i,SY333: $i] :
( SV25
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY330 ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY331 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY332 ) @ SY333 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[950]) ).
thf(1013,plain,
! [SV26: $i] :
( ( ~ ! [SY334: $i,SY335: $i] :
( SV26
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY334 ) @ SY335 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[951]) ).
thf(1014,plain,
! [SV27: $i] :
( ( ! [SY336: $i] :
~ ( ~ ( ( ( bool @ SV27 )
!= ( bool @ SY336 ) )
| ~ ( ~ ( ~ ( hBOOL @ SV27 )
| ( hBOOL @ SY336 ) )
| ~ ( ~ ( hBOOL @ SY336 )
| ( hBOOL @ SV27 ) ) ) )
| ~ ( ~ ~ ( ~ ( ~ ( hBOOL @ SV27 )
| ( hBOOL @ SY336 ) )
| ~ ( ~ ( hBOOL @ SY336 )
| ( hBOOL @ SV27 ) ) )
| ( ( bool @ SV27 )
= ( bool @ SY336 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[952]) ).
thf(1015,plain,
! [SV28: $i] :
( ( ~ ( ~ ( ~ ! [SY337: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV28 @ SY337 ) )
| ! [SY338: $i,SY339: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV28 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY338 ) @ SY339 ) ) ) )
| ~ ( ~ ! [SY340: $i,SY341: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV28 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY340 ) @ SY341 ) ) )
| ! [SY342: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV28 @ SY342 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[953]) ).
thf(1016,plain,
! [SV29: $i] :
( ( ! [SY343: $i,SY344: $i,SY345: $i,SY346: $i,SY347: $i,SY348: $i,SY349: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY343 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY344 ) @ SY345 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY346 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY347 ) @ SY348 ) ) ) @ ( red @ SY349 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY343 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY344 ) @ ( map_ad325961431ar_val @ SV29 @ SY345 ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY346 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY347 ) @ ( map_ad325961431ar_val @ SV29 @ SY348 ) ) ) ) @ ( red @ SY349 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[954]) ).
thf(1017,plain,
! [SV30: $i] :
( ( ~ ! [SY350: $i,SY351: $i,SY352: $i] :
( SV30
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY350 ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY351 ) @ SY352 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[955]) ).
thf(1018,plain,
! [SV31: $i] :
( ( ! [SY353: $i] :
( ~ ! [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SY353 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX3 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX4 ) @ SX5 ) ) ) ) )
| ( hBOOL @ ( hAPP_P282169671l_bool @ SY353 @ SV31 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[956]) ).
thf(1019,plain,
! [SV32: $i] :
( ( ! [SY358: $i,SY359: $i,SY360: $i] :
~ ( ~ ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV32 ) @ SY358 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY359 ) @ SY360 ) )
| ~ ( ( SV32 != SY359 )
| ( SY358 != SY360 ) ) )
| ~ ( ~ ~ ( ( SV32 != SY359 )
| ( SY358 != SY360 ) )
| ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV32 ) @ SY358 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY359 ) @ SY360 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[957]) ).
thf(1020,plain,
! [SV33: $i] :
( ( ~ ! [SY361: $i,SY362: $i] :
( SV33
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY361 ) @ SY362 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[958]) ).
thf(1021,plain,
! [SV34: $i] :
( ( ! [SY363: $i,SY364: $i,SY365: $i] :
( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV34 ) @ SY363 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY364 ) @ SY365 ) )
| ~ ( ( SV34 != SY364 )
| ( SY363 != SY365 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[959]) ).
thf(1022,plain,
! [SV35: $i] :
( ( ! [SY366: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ SV35 @ SY366 ) )
| ( hBOOL @ ( hAPP_P282169671l_bool @ SY366 @ SV35 ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SY366 @ SV35 ) )
| ( hBOOL @ ( member773094996on_val @ SV35 @ SY366 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[960]) ).
thf(1023,plain,
! [SV36: $i] :
( ( ~ ! [SY367: $i,SY368: $i] :
( SV36
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY367 ) @ SY368 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[961]) ).
thf(1024,plain,
! [SV37: $i] :
( ( ~ ( ~ ( ~ ! [SY369: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV37 @ SY369 ) )
| ! [SY370: $i,SY371: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV37 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY370 ) @ SY371 ) ) ) )
| ~ ( ~ ! [SY372: $i,SY373: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV37 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY372 ) @ SY373 ) ) )
| ! [SY374: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV37 @ SY374 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[962]) ).
thf(1025,plain,
! [SV38: $i] :
( ( ! [SY375: $i,SY376: $i,SY377: $i,SY378: $i,SY379: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY375 ) @ SY376 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY377 ) @ SY378 ) ) @ ( red @ SY379 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV38 @ SY375 ) ) @ SY376 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV38 @ SY377 ) ) @ SY378 ) ) @ ( red @ SY379 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[963]) ).
thf(1026,plain,
! [SV39: $i] :
( ( ! [SY380: $i,SY381: $i,SY382: $i] :
( ~ ( hBOOL @ ( widen_2090681816t_char @ SY380 @ SY381 @ SY382 ) )
| ~ ( hBOOL @ ( widen_2090681816t_char @ SY380 @ SY382 @ SV39 ) )
| ( hBOOL @ ( widen_2090681816t_char @ SY380 @ SY381 @ SV39 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[964]) ).
thf(1027,plain,
! [SV40: $i] :
( ( ~ ! [SY383: $i,SY384: $i] :
( SV40
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY383 ) @ SY384 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[965]) ).
thf(1028,plain,
! [SV41: $i] :
( ( ! [SY385: $i] :
~ ( ~ ( ~ ! [SY386: $i,SY387: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY386 ) @ SY387 ) @ SY385 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY386 ) @ SY387 ) @ SV41 ) ) )
| ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY386 ) @ SY387 ) @ SV41 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY386 ) @ SY387 ) @ SY385 ) ) ) )
| ( SY385 = SV41 ) )
| ~ ( ( SY385 != SV41 )
| ! [SY388: $i,SY389: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY388 ) @ SY389 ) @ SY385 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY388 ) @ SY389 ) @ SV41 ) ) )
| ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY388 ) @ SY389 ) @ SV41 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY388 ) @ SY389 ) @ SY385 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[966]) ).
thf(1029,plain,
! [SV42: $i] :
( ( ! [SY390: $i] :
( ~ ! [SX2: $i,SX3: $i,SX4: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SY390 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX3 ) @ SX4 ) ) ) )
| ( hBOOL @ ( hAPP_P282169671l_bool @ SY390 @ SV42 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[967]) ).
thf(1030,plain,
! [SV43: $i] :
( ( ! [SY394: $i,SY395: $i,SY396: $i,SY397: $i,SY398: $i,SY399: $i,SY400: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY396 ) @ SY397 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY398 ) @ SY399 ) ) @ ( red @ SY400 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SY396 @ SV43 @ SY394 @ SY395 ) ) @ SY397 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SY398 @ SV43 @ SY394 @ SY395 ) ) @ SY399 ) ) @ ( red @ SY400 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[968]) ).
thf(1031,plain,
! [SV44: $i] :
( ( ! [SY401: $i,SY402: $i,SY403: $i,SY404: $i] :
~ ( ~ ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV44 @ SY401 @ ( hAPP_val_option_val @ some_val @ SY402 ) ) @ SY403 )
!= ( hAPP_val_option_val @ some_val @ SY404 ) )
| ~ ( ( SY403 != SY401 )
| ( SY402 != SY404 ) )
| ~ ( ~ ( ( SY403 != SY401 ) )
| ( ( hAPP_l207779698on_val @ SV44 @ SY403 )
!= ( hAPP_val_option_val @ some_val @ SY404 ) ) ) )
| ~ ( ~ ( ~ ( ( SY403 != SY401 )
| ( SY402 != SY404 ) )
| ~ ( ~ ( ( SY403 != SY401 ) )
| ( ( hAPP_l207779698on_val @ SV44 @ SY403 )
!= ( hAPP_val_option_val @ some_val @ SY404 ) ) ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV44 @ SY401 @ ( hAPP_val_option_val @ some_val @ SY402 ) ) @ SY403 )
= ( hAPP_val_option_val @ some_val @ SY404 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[969]) ).
thf(1032,plain,
! [SV45: $i] :
( ( ! [SY405: $i,SY406: $i] :
~ ( ~ ( ( ( fun_up1149430426on_val @ SV45 @ SY405 @ SY406 )
!= SV45 )
| ( ( hAPP_l207779698on_val @ SV45 @ SY405 )
= SY406 ) )
| ~ ( ( ( hAPP_l207779698on_val @ SV45 @ SY405 )
!= SY406 )
| ( ( fun_up1149430426on_val @ SV45 @ SY405 @ SY406 )
= SV45 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[970]) ).
thf(1033,plain,
! [SV46: $i] :
( ( ~ ! [SY407: $i,SY408: $i] :
( SV46
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY407 ) @ SY408 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[971]) ).
thf(1034,plain,
! [SV47: $i] :
( ( ~ ! [SY409: $i,SY410: $i,SY411: $i] :
( SV47
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY409 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY410 ) @ SY411 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[972]) ).
thf(1035,plain,
! [SV48: $i] :
( ( ! [SY412: $i] :
~ ( ~ ( ~ ! [SY413: $i,SY414: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY413 ) @ SY414 ) @ SY412 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY413 ) @ SY414 ) @ SV48 ) ) )
| ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY413 ) @ SY414 ) @ SV48 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY413 ) @ SY414 ) @ SY412 ) ) ) )
| ( SY412 = SV48 ) )
| ~ ( ( SY412 != SV48 )
| ! [SY415: $i,SY416: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY415 ) @ SY416 ) @ SY412 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY415 ) @ SY416 ) @ SV48 ) ) )
| ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY415 ) @ SY416 ) @ SV48 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY415 ) @ SY416 ) @ SY412 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[973]) ).
thf(1036,plain,
! [SV49: $i] :
( ( ! [SY417: $i,SY418: $i,SY419: $i] :
~ ( ~ ( ( SY418 != SY419 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV49 @ SY419 @ SY417 ) @ SY418 )
= SY417 ) )
| ~ ( ~ ( ( SY418 != SY419 ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV49 @ SY419 @ SY417 ) @ SY418 )
= ( hAPP_l207779698on_val @ SV49 @ SY418 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[974]) ).
thf(1037,plain,
! [SV50: $i] :
( ( ! [SY420: $i,SY421: $i,SY422: $i,SY423: $i,SY424: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY420 ) @ SY421 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY422 ) @ SY423 ) ) @ ( red @ SY424 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SY420 @ SV50 ) ) @ SY421 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SY422 @ SV50 ) ) @ SY423 ) ) @ ( red @ SY424 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[975]) ).
thf(1038,plain,
! [SV51: $i] :
( ( ! [SY425: $i,SY426: $i,SY427: $i] :
~ ( ~ ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV51 ) @ SY425 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY426 ) @ SY427 ) )
| ~ ( ( SV51 != SY426 )
| ( SY425 != SY427 ) ) )
| ~ ( ~ ~ ( ( SV51 != SY426 )
| ( SY425 != SY427 ) )
| ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV51 ) @ SY425 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY426 ) @ SY427 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[976]) ).
thf(1039,plain,
! [SV52: $i] :
( ( ! [SY428: $i,SY429: $i,SY430: $i,SY431: $i] :
( ( ( fun_up204312361on_val @ SV52 @ SY428 @ ( hAPP_val_option_val @ some_val @ SY429 ) )
!= ( fun_up204312361on_val @ SY430 @ SY428 @ ( hAPP_val_option_val @ some_val @ SY431 ) ) )
| ( SY429 = SY431 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[977]) ).
thf(1040,plain,
! [SV53: $i] :
( ( ! [SY432: $i] :
~ ( ~ ( ( ( hAPP_val_option_val @ some_val @ SV53 )
!= ( hAPP_val_option_val @ some_val @ SY432 ) )
| ( SV53 = SY432 ) )
| ~ ( ( SV53 != SY432 )
| ( ( hAPP_val_option_val @ some_val @ SV53 )
= ( hAPP_val_option_val @ some_val @ SY432 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[978]) ).
thf(1041,plain,
! [SV54: $i] :
( ( ! [SY433: $i,SY434: $i,SY435: $i,SY436: $i] :
( ~ ( ( SY435 != SY436 ) )
| ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV54 @ SY435 @ SY433 ) @ SY436 @ SY434 )
= ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV54 @ SY436 @ SY434 ) @ SY435 @ SY433 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[979]) ).
thf(1042,plain,
! [SV55: $i] :
( ( ~ ( ~ ( ~ ~ ! [SY437: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV55 @ SY437 ) )
| ~ ! [SY438: $i] :
~ ~ ! [SY439: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV55 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY438 ) @ SY439 ) ) ) )
| ~ ( ~ ~ ! [SY440: $i] :
~ ~ ! [SY441: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV55 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY440 ) @ SY441 ) ) )
| ~ ! [SY442: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV55 @ SY442 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[980]) ).
thf(1043,plain,
! [SV56: $i] :
( ( ! [SY443: $i,SY444: $i,SY445: $i,SY446: $i,SY447: $i,SY448: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY444 ) @ SY445 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY446 ) @ SY447 ) ) @ ( red @ SY448 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SY444 @ SV56 @ SY443 ) ) @ SY445 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SY446 @ SV56 @ SY443 ) ) @ SY447 ) ) @ ( red @ SY448 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[981]) ).
thf(1044,plain,
! [SV57: $i] :
( ( ! [SY449: $i,SY450: $i,SY451: $i] :
~ ( ~ ( ( SY451 != SY450 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV57 @ SY450 @ SY449 ) @ SY451 )
= SY449 ) )
| ~ ( ~ ( ( SY451 != SY450 ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV57 @ SY450 @ SY449 ) @ SY451 )
= ( hAPP_l207779698on_val @ SV57 @ SY451 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[982]) ).
thf(1045,plain,
! [SV58: $i] :
( ( ! [SY452: $i,SY453: $i] :
( ~ ( hBOOL @ ( hext @ SY452 @ SY453 ) )
| ~ ( hBOOL @ ( hext @ SY453 @ SV58 ) )
| ( hBOOL @ ( hext @ SY452 @ SV58 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[983]) ).
thf(1046,plain,
! [SV59: $i] :
( ( ! [SY454: $i] :
( ~ ! [SX2: $i,SX3: $i,SX4: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SY454 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX2 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX3 ) @ SX4 ) ) ) )
| ( hBOOL @ ( hAPP_P1708370145l_bool @ SY454 @ SV59 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[984]) ).
thf(1047,plain,
! [SV60: $i] :
( ( ~ ( ~ ( ~ ~ ! [SY458: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV60 @ SY458 ) )
| ~ ! [SY459: $i] :
~ ~ ! [SY460: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV60 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY459 ) @ SY460 ) ) ) )
| ~ ( ~ ~ ! [SY461: $i] :
~ ~ ! [SY462: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV60 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY461 ) @ SY462 ) ) )
| ~ ! [SY463: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV60 @ SY463 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[985]) ).
thf(1048,plain,
! [SV61: $i,SV1: $i] :
( ( is_bool @ ( member773094996on_val @ SV1 @ SV61 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[986]) ).
thf(1049,plain,
! [SV62: $i,SV2: $i] :
( ( ( fun_up1149430426on_val @ SV2 @ SV62 @ ( hAPP_l207779698on_val @ SV2 @ SV62 ) )
= SV2 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[987]) ).
thf(1050,plain,
! [SV63: $i,SV3: $i] :
( ( ! [SY464: $i] :
( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV3 @ SV63 @ SY464 ) @ SV63 )
= SY464 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[988]) ).
thf(1051,plain,
! [SV64: $i,SV4: $i] :
( ( ! [SY465: $i,SY466: $i] :
( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV4 @ SV64 @ SY465 ) @ SV64 @ SY466 )
= ( fun_up1149430426on_val @ SV4 @ SV64 @ SY466 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[989]) ).
thf(1052,plain,
! [SV65: $i,SV5: $i] :
( ( hBOOL @ ( widen_2090681816t_char @ SV5 @ SV65 @ SV65 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[990]) ).
thf(1053,plain,
! [SV66: $i,SV6: $i] :
( ( ! [SY467: $i,SY468: $i] :
( ( map_ad325961431ar_val @ SV6 @ ( fun_up1149430426on_val @ SV66 @ SY467 @ ( hAPP_val_option_val @ some_val @ SY468 ) ) )
= ( fun_up1149430426on_val @ ( map_ad325961431ar_val @ SV6 @ SV66 ) @ SY467 @ ( hAPP_val_option_val @ some_val @ SY468 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[991]) ).
thf(1054,plain,
! [SV67: $i,SV8: $i] :
( ( ! [SY469: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ ( throw_list_char @ SV8 ) ) ) @ SV67 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV8 ) ) @ SV67 ) ) @ ( red @ SY469 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[993]) ).
thf(1055,plain,
! [SV68: $i,SV9: $i] :
( ( ! [SY470: $i,SY471: $i] :
( ~ ( ( SY470 != SY471 ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV9 @ SY471 @ SV68 ) @ SY470 )
= ( hAPP_l207779698on_val @ SV9 @ SY470 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[996]) ).
thf(1056,plain,
! [SV69: $i,SV10: $i] :
( ( ! [SY472: $i,SY473: $i,SY474: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV10 ) @ SV69 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY472 ) @ SY473 ) ) @ ( red @ SY474 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV10 ) ) @ SV69 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SY472 ) ) @ SY473 ) ) @ ( red @ SY474 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[997]) ).
thf(1057,plain,
! [SV70: $i,SV11: $i] :
( ( ! [SY475: $i,SY476: $i,SY477: $i,SY478: $i,SY479: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV11 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV70 ) @ SY475 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY476 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY477 ) @ SY478 ) ) ) @ ( red @ SY479 ) ) )
| ( hBOOL @ ( hext @ SV70 @ SY477 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[998]) ).
thf(1058,plain,
! [SV12: $i,SV71: $i] :
( ( ~ ( ~ ( ~ ! [SY480: $i,SY481: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY480 ) @ SY481 ) @ SV71 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY480 ) @ SY481 ) @ SV12 ) ) )
| ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY480 ) @ SY481 ) @ SV12 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY480 ) @ SY481 ) @ SV71 ) ) ) )
| ( SV71 = SV12 ) )
| ~ ( ( SV71 != SV12 )
| ! [SY482: $i,SY483: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY482 ) @ SY483 ) @ SV71 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY482 ) @ SY483 ) @ SV12 ) ) )
| ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY482 ) @ SY483 ) @ SV12 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY482 ) @ SY483 ) @ SV71 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[999]) ).
thf(1059,plain,
! [SV72: $i,SV13: $i] :
( ( ! [SY484: $i,SY485: $i,SY486: $i,SY487: $i,SY488: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY484 ) @ SY485 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY486 ) @ SY487 ) ) @ ( red @ SY488 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SY484 @ SV13 @ SV72 ) ) @ SY485 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SY486 @ SV13 @ SV72 ) ) @ SY487 ) ) @ ( red @ SY488 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1000]) ).
thf(1060,plain,
! [SV14: $i] :
( ( ! [SY287: $i,SY288: $i] :
( SV14
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY287 ) @ SY288 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1001]) ).
thf(1061,plain,
! [SV15: $i] :
( ( ~ ( ~ ! [SY289: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV15 @ SY289 ) )
| ! [SY290: $i,SY291: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV15 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY290 ) @ SY291 ) ) ) )
| ~ ( ~ ! [SY292: $i,SY293: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV15 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY292 ) @ SY293 ) ) )
| ! [SY294: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV15 @ SY294 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1002]) ).
thf(1062,plain,
! [SV73: $i,SV16: $i] :
( ( ! [SY489: $i,SY490: $i,SY491: $i,SY492: $i,SY493: $i,SY494: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY490 ) @ SY491 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY492 ) @ SY493 ) ) @ ( red @ SY494 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SY490 @ SV16 @ SV73 @ SY489 ) ) @ SY491 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SY492 @ SV16 @ SV73 @ SY489 ) ) @ SY493 ) ) @ ( red @ SY494 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1003]) ).
thf(1063,plain,
! [SV74: $i,SV17: $i] :
( ( ! [SY495: $i,SY496: $i] :
~ ( ~ ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV17 ) @ SV74 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY495 ) @ SY496 ) )
| ~ ( ( SV17 != SY495 )
| ( SV74 != SY496 ) ) )
| ~ ( ~ ~ ( ( SV17 != SY495 )
| ( SV74 != SY496 ) )
| ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV17 ) @ SV74 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY495 ) @ SY496 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1004]) ).
thf(1064,plain,
! [SV75: $i,SV18: $i] :
( ( ! [SY497: $i] :
( ( ( hAPP_l207779698on_val @ SV18 @ SV75 )
!= SY497 )
| ( ( fun_up1149430426on_val @ SV18 @ SV75 @ SY497 )
= SV18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1005]) ).
thf(1065,plain,
! [SV19: $i] :
( ( ~ ( ~ ~ ! [SY307: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV19 @ SY307 ) )
| ~ ! [SY308: $i] :
~ ~ ! [SY309: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV19 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY308 ) @ SY309 ) ) ) )
| ~ ( ~ ~ ! [SY310: $i] :
~ ~ ! [SY311: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV19 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY310 ) @ SY311 ) ) )
| ~ ! [SY312: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV19 @ SY312 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1006]) ).
thf(1066,plain,
! [SV76: $i,SV20: $i] :
( ( ! [SY498: $i,SY499: $i] :
( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV20 ) @ SV76 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY498 ) @ SY499 ) )
| ~ ( ( SV20 != SY498 )
| ( SV76 != SY499 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1007]) ).
thf(1067,plain,
! [SV77: $i,SV21: $i] :
( ( ! [SY500: $i] :
( ( ( hAPP_l207779698on_val @ SV21 @ SV77 )
!= ( hAPP_val_option_val @ some_val @ SY500 ) )
| ( ( fun_up1149430426on_val @ SV21 @ SV77 @ ( hAPP_val_option_val @ some_val @ SY500 ) )
= SV21 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1008]) ).
thf(1068,plain,
! [SV78: $i,SV22: $i] :
( ( ! [SY501: $i,SY502: $i,SY503: $i] :
( ( ( fun_up1149430426on_val @ SV22 @ SV78 @ ( hAPP_val_option_val @ some_val @ SY501 ) )
!= ( fun_up1149430426on_val @ SY502 @ SV78 @ ( hAPP_val_option_val @ some_val @ SY503 ) ) )
| ( SY501 = SY503 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1009]) ).
thf(1069,plain,
! [SV79: $i,SV23: $i] :
( ( ! [SY504: $i,SY505: $i] :
( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV23 ) @ SV79 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY504 ) @ SY505 ) )
| ~ ( ( SV23 != SY504 )
| ( SV79 != SY505 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1010]) ).
thf(1070,plain,
! [SV24: $i,SV80: $i] :
( ( ! [SY506: $i,SY507: $i,SY508: $i,SY509: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV80 ) @ SY506 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY507 ) @ SY508 ) ) @ ( red @ SY509 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV24 @ SV80 ) ) @ SY506 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV24 @ SY507 ) ) @ SY508 ) ) @ ( red @ SY509 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1011]) ).
thf(1071,plain,
! [SV25: $i] :
( ( ! [SY330: $i,SY331: $i,SY332: $i,SY333: $i] :
( SV25
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY330 ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY331 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY332 ) @ SY333 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1012]) ).
thf(1072,plain,
! [SV26: $i] :
( ( ! [SY334: $i,SY335: $i] :
( SV26
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY334 ) @ SY335 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1013]) ).
thf(1073,plain,
! [SV81: $i,SV27: $i] :
( ( ~ ( ~ ( ( ( bool @ SV27 )
!= ( bool @ SV81 ) )
| ~ ( ~ ( ~ ( hBOOL @ SV27 )
| ( hBOOL @ SV81 ) )
| ~ ( ~ ( hBOOL @ SV81 )
| ( hBOOL @ SV27 ) ) ) )
| ~ ( ~ ~ ( ~ ( ~ ( hBOOL @ SV27 )
| ( hBOOL @ SV81 ) )
| ~ ( ~ ( hBOOL @ SV81 )
| ( hBOOL @ SV27 ) ) )
| ( ( bool @ SV27 )
= ( bool @ SV81 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1014]) ).
thf(1074,plain,
! [SV28: $i] :
( ( ~ ( ~ ! [SY337: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV28 @ SY337 ) )
| ! [SY338: $i,SY339: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV28 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY338 ) @ SY339 ) ) ) )
| ~ ( ~ ! [SY340: $i,SY341: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV28 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY340 ) @ SY341 ) ) )
| ! [SY342: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV28 @ SY342 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1015]) ).
thf(1075,plain,
! [SV29: $i,SV82: $i] :
( ( ! [SY510: $i,SY511: $i,SY512: $i,SY513: $i,SY514: $i,SY515: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV82 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY510 ) @ SY511 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY512 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY513 ) @ SY514 ) ) ) @ ( red @ SY515 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV82 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY510 ) @ ( map_ad325961431ar_val @ SV29 @ SY511 ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY512 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY513 ) @ ( map_ad325961431ar_val @ SV29 @ SY514 ) ) ) ) @ ( red @ SY515 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1016]) ).
thf(1076,plain,
! [SV30: $i] :
( ( ! [SY350: $i,SY351: $i,SY352: $i] :
( SV30
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY350 ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY351 ) @ SY352 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1017]) ).
thf(1077,plain,
! [SV31: $i,SV83: $i] :
( ( ~ ! [SY516: $i,SY517: $i,SY518: $i,SY519: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV83 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY516 ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY517 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY518 ) @ SY519 ) ) ) ) )
| ( hBOOL @ ( hAPP_P282169671l_bool @ SV83 @ SV31 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1018]) ).
thf(1078,plain,
! [SV84: $i,SV32: $i] :
( ( ! [SY520: $i,SY521: $i] :
~ ( ~ ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV32 ) @ SV84 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY520 ) @ SY521 ) )
| ~ ( ( SV32 != SY520 )
| ( SV84 != SY521 ) ) )
| ~ ( ~ ~ ( ( SV32 != SY520 )
| ( SV84 != SY521 ) )
| ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV32 ) @ SV84 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY520 ) @ SY521 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1019]) ).
thf(1079,plain,
! [SV33: $i] :
( ( ! [SY361: $i,SY362: $i] :
( SV33
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY361 ) @ SY362 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1020]) ).
thf(1080,plain,
! [SV85: $i,SV34: $i] :
( ( ! [SY522: $i,SY523: $i] :
( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV34 ) @ SV85 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY522 ) @ SY523 ) )
| ~ ( ( SV34 != SY522 )
| ( SV85 != SY523 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1021]) ).
thf(1081,plain,
! [SV86: $i,SV35: $i] :
( ( ~ ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ SV35 @ SV86 ) )
| ( hBOOL @ ( hAPP_P282169671l_bool @ SV86 @ SV35 ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV86 @ SV35 ) )
| ( hBOOL @ ( member773094996on_val @ SV35 @ SV86 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1022]) ).
thf(1082,plain,
! [SV36: $i] :
( ( ! [SY367: $i,SY368: $i] :
( SV36
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY367 ) @ SY368 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1023]) ).
thf(1083,plain,
! [SV37: $i] :
( ( ~ ( ~ ! [SY369: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV37 @ SY369 ) )
| ! [SY370: $i,SY371: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV37 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY370 ) @ SY371 ) ) ) )
| ~ ( ~ ! [SY372: $i,SY373: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV37 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY372 ) @ SY373 ) ) )
| ! [SY374: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV37 @ SY374 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1024]) ).
thf(1084,plain,
! [SV38: $i,SV87: $i] :
( ( ! [SY524: $i,SY525: $i,SY526: $i,SY527: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV87 ) @ SY524 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY525 ) @ SY526 ) ) @ ( red @ SY527 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV38 @ SV87 ) ) @ SY524 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV38 @ SY525 ) ) @ SY526 ) ) @ ( red @ SY527 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1025]) ).
thf(1085,plain,
! [SV39: $i,SV88: $i] :
( ( ! [SY528: $i,SY529: $i] :
( ~ ( hBOOL @ ( widen_2090681816t_char @ SV88 @ SY528 @ SY529 ) )
| ~ ( hBOOL @ ( widen_2090681816t_char @ SV88 @ SY529 @ SV39 ) )
| ( hBOOL @ ( widen_2090681816t_char @ SV88 @ SY528 @ SV39 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1026]) ).
thf(1086,plain,
! [SV40: $i] :
( ( ! [SY383: $i,SY384: $i] :
( SV40
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY383 ) @ SY384 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1027]) ).
thf(1087,plain,
! [SV41: $i,SV89: $i] :
( ( ~ ( ~ ( ~ ! [SY530: $i,SY531: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY530 ) @ SY531 ) @ SV89 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY530 ) @ SY531 ) @ SV41 ) ) )
| ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY530 ) @ SY531 ) @ SV41 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY530 ) @ SY531 ) @ SV89 ) ) ) )
| ( SV89 = SV41 ) )
| ~ ( ( SV89 != SV41 )
| ! [SY532: $i,SY533: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY532 ) @ SY533 ) @ SV89 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY532 ) @ SY533 ) @ SV41 ) ) )
| ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY532 ) @ SY533 ) @ SV41 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY532 ) @ SY533 ) @ SV89 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1028]) ).
thf(1088,plain,
! [SV42: $i,SV90: $i] :
( ( ~ ! [SY534: $i,SY535: $i,SY536: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV90 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY534 ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY535 ) @ SY536 ) ) ) )
| ( hBOOL @ ( hAPP_P282169671l_bool @ SV90 @ SV42 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1029]) ).
thf(1089,plain,
! [SV91: $i,SV43: $i] :
( ( ! [SY537: $i,SY538: $i,SY539: $i,SY540: $i,SY541: $i,SY542: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY538 ) @ SY539 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY540 ) @ SY541 ) ) @ ( red @ SY542 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SY538 @ SV43 @ SV91 @ SY537 ) ) @ SY539 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SY540 @ SV43 @ SV91 @ SY537 ) ) @ SY541 ) ) @ ( red @ SY542 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1030]) ).
thf(1090,plain,
! [SV92: $i,SV44: $i] :
( ( ! [SY543: $i,SY544: $i,SY545: $i] :
~ ( ~ ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV44 @ SV92 @ ( hAPP_val_option_val @ some_val @ SY543 ) ) @ SY544 )
!= ( hAPP_val_option_val @ some_val @ SY545 ) )
| ~ ( ( SY544 != SV92 )
| ( SY543 != SY545 ) )
| ~ ( ~ ( ( SY544 != SV92 ) )
| ( ( hAPP_l207779698on_val @ SV44 @ SY544 )
!= ( hAPP_val_option_val @ some_val @ SY545 ) ) ) )
| ~ ( ~ ( ~ ( ( SY544 != SV92 )
| ( SY543 != SY545 ) )
| ~ ( ~ ( ( SY544 != SV92 ) )
| ( ( hAPP_l207779698on_val @ SV44 @ SY544 )
!= ( hAPP_val_option_val @ some_val @ SY545 ) ) ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV44 @ SV92 @ ( hAPP_val_option_val @ some_val @ SY543 ) ) @ SY544 )
= ( hAPP_val_option_val @ some_val @ SY545 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1031]) ).
thf(1091,plain,
! [SV93: $i,SV45: $i] :
( ( ! [SY546: $i] :
~ ( ~ ( ( ( fun_up1149430426on_val @ SV45 @ SV93 @ SY546 )
!= SV45 )
| ( ( hAPP_l207779698on_val @ SV45 @ SV93 )
= SY546 ) )
| ~ ( ( ( hAPP_l207779698on_val @ SV45 @ SV93 )
!= SY546 )
| ( ( fun_up1149430426on_val @ SV45 @ SV93 @ SY546 )
= SV45 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1032]) ).
thf(1092,plain,
! [SV46: $i] :
( ( ! [SY407: $i,SY408: $i] :
( SV46
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY407 ) @ SY408 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1033]) ).
thf(1093,plain,
! [SV47: $i] :
( ( ! [SY409: $i,SY410: $i,SY411: $i] :
( SV47
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY409 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY410 ) @ SY411 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1034]) ).
thf(1094,plain,
! [SV48: $i,SV94: $i] :
( ( ~ ( ~ ( ~ ! [SY547: $i,SY548: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY547 ) @ SY548 ) @ SV94 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY547 ) @ SY548 ) @ SV48 ) ) )
| ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY547 ) @ SY548 ) @ SV48 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY547 ) @ SY548 ) @ SV94 ) ) ) )
| ( SV94 = SV48 ) )
| ~ ( ( SV94 != SV48 )
| ! [SY549: $i,SY550: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY549 ) @ SY550 ) @ SV94 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY549 ) @ SY550 ) @ SV48 ) ) )
| ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY549 ) @ SY550 ) @ SV48 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY549 ) @ SY550 ) @ SV94 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1035]) ).
thf(1095,plain,
! [SV95: $i,SV49: $i] :
( ( ! [SY551: $i,SY552: $i] :
~ ( ~ ( ( SY551 != SY552 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV49 @ SY552 @ SV95 ) @ SY551 )
= SV95 ) )
| ~ ( ~ ( ( SY551 != SY552 ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV49 @ SY552 @ SV95 ) @ SY551 )
= ( hAPP_l207779698on_val @ SV49 @ SY551 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1036]) ).
thf(1096,plain,
! [SV50: $i,SV96: $i] :
( ( ! [SY553: $i,SY554: $i,SY555: $i,SY556: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV96 ) @ SY553 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY554 ) @ SY555 ) ) @ ( red @ SY556 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV96 @ SV50 ) ) @ SY553 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SY554 @ SV50 ) ) @ SY555 ) ) @ ( red @ SY556 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1037]) ).
thf(1097,plain,
! [SV97: $i,SV51: $i] :
( ( ! [SY557: $i,SY558: $i] :
~ ( ~ ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV51 ) @ SV97 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY557 ) @ SY558 ) )
| ~ ( ( SV51 != SY557 )
| ( SV97 != SY558 ) ) )
| ~ ( ~ ~ ( ( SV51 != SY557 )
| ( SV97 != SY558 ) )
| ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV51 ) @ SV97 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY557 ) @ SY558 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1038]) ).
thf(1098,plain,
! [SV98: $i,SV52: $i] :
( ( ! [SY559: $i,SY560: $i,SY561: $i] :
( ( ( fun_up204312361on_val @ SV52 @ SV98 @ ( hAPP_val_option_val @ some_val @ SY559 ) )
!= ( fun_up204312361on_val @ SY560 @ SV98 @ ( hAPP_val_option_val @ some_val @ SY561 ) ) )
| ( SY559 = SY561 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1039]) ).
thf(1099,plain,
! [SV99: $i,SV53: $i] :
( ( ~ ( ~ ( ( ( hAPP_val_option_val @ some_val @ SV53 )
!= ( hAPP_val_option_val @ some_val @ SV99 ) )
| ( SV53 = SV99 ) )
| ~ ( ( SV53 != SV99 )
| ( ( hAPP_val_option_val @ some_val @ SV53 )
= ( hAPP_val_option_val @ some_val @ SV99 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1040]) ).
thf(1100,plain,
! [SV100: $i,SV54: $i] :
( ( ! [SY562: $i,SY563: $i,SY564: $i] :
( ~ ( ( SY563 != SY564 ) )
| ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV54 @ SY563 @ SV100 ) @ SY564 @ SY562 )
= ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV54 @ SY564 @ SY562 ) @ SY563 @ SV100 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1041]) ).
thf(1101,plain,
! [SV55: $i] :
( ( ~ ( ~ ~ ! [SY437: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV55 @ SY437 ) )
| ~ ! [SY438: $i] :
~ ~ ! [SY439: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV55 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY438 ) @ SY439 ) ) ) )
| ~ ( ~ ~ ! [SY440: $i] :
~ ~ ! [SY441: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV55 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY440 ) @ SY441 ) ) )
| ~ ! [SY442: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV55 @ SY442 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1042]) ).
thf(1102,plain,
! [SV101: $i,SV56: $i] :
( ( ! [SY565: $i,SY566: $i,SY567: $i,SY568: $i,SY569: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY565 ) @ SY566 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY567 ) @ SY568 ) ) @ ( red @ SY569 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SY565 @ SV56 @ SV101 ) ) @ SY566 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SY567 @ SV56 @ SV101 ) ) @ SY568 ) ) @ ( red @ SY569 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1043]) ).
thf(1103,plain,
! [SV102: $i,SV57: $i] :
( ( ! [SY570: $i,SY571: $i] :
~ ( ~ ( ( SY571 != SY570 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV57 @ SY570 @ SV102 ) @ SY571 )
= SV102 ) )
| ~ ( ~ ( ( SY571 != SY570 ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV57 @ SY570 @ SV102 ) @ SY571 )
= ( hAPP_l207779698on_val @ SV57 @ SY571 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1044]) ).
thf(1104,plain,
! [SV58: $i,SV103: $i] :
( ( ! [SY572: $i] :
( ~ ( hBOOL @ ( hext @ SV103 @ SY572 ) )
| ~ ( hBOOL @ ( hext @ SY572 @ SV58 ) )
| ( hBOOL @ ( hext @ SV103 @ SV58 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1045]) ).
thf(1105,plain,
! [SV59: $i,SV104: $i] :
( ( ~ ! [SY573: $i,SY574: $i,SY575: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV104 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY573 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY574 ) @ SY575 ) ) ) )
| ( hBOOL @ ( hAPP_P1708370145l_bool @ SV104 @ SV59 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1046]) ).
thf(1106,plain,
! [SV60: $i] :
( ( ~ ( ~ ~ ! [SY458: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV60 @ SY458 ) )
| ~ ! [SY459: $i] :
~ ~ ! [SY460: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV60 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY459 ) @ SY460 ) ) ) )
| ~ ( ~ ~ ! [SY461: $i] :
~ ~ ! [SY462: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV60 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY461 ) @ SY462 ) ) )
| ~ ! [SY463: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV60 @ SY463 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1047]) ).
thf(1107,plain,
! [SV105: $i,SV63: $i,SV3: $i] :
( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV3 @ SV63 @ SV105 ) @ SV63 )
= SV105 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1050]) ).
thf(1108,plain,
! [SV106: $i,SV64: $i,SV4: $i] :
( ( ! [SY576: $i] :
( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV4 @ SV64 @ SV106 ) @ SV64 @ SY576 )
= ( fun_up1149430426on_val @ SV4 @ SV64 @ SY576 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1051]) ).
thf(1109,plain,
! [SV107: $i,SV66: $i,SV6: $i] :
( ( ! [SY577: $i] :
( ( map_ad325961431ar_val @ SV6 @ ( fun_up1149430426on_val @ SV66 @ SV107 @ ( hAPP_val_option_val @ some_val @ SY577 ) ) )
= ( fun_up1149430426on_val @ ( map_ad325961431ar_val @ SV6 @ SV66 ) @ SV107 @ ( hAPP_val_option_val @ some_val @ SY577 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1053]) ).
thf(1110,plain,
! [SV108: $i,SV67: $i,SV8: $i] :
( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ ( throw_list_char @ SV8 ) ) ) @ SV67 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV8 ) ) @ SV67 ) ) @ ( red @ SV108 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1054]) ).
thf(1111,plain,
! [SV68: $i,SV9: $i,SV109: $i] :
( ( ! [SY578: $i] :
( ~ ( ( SV109 != SY578 ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV9 @ SY578 @ SV68 ) @ SV109 )
= ( hAPP_l207779698on_val @ SV9 @ SV109 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1055]) ).
thf(1112,plain,
! [SV110: $i,SV69: $i,SV10: $i] :
( ( ! [SY579: $i,SY580: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV10 ) @ SV69 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV110 ) @ SY579 ) ) @ ( red @ SY580 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV10 ) ) @ SV69 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV110 ) ) @ SY579 ) ) @ ( red @ SY580 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1056]) ).
thf(1113,plain,
! [SV111: $i,SV70: $i,SV11: $i] :
( ( ! [SY581: $i,SY582: $i,SY583: $i,SY584: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV11 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV70 ) @ SV111 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY581 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY582 ) @ SY583 ) ) ) @ ( red @ SY584 ) ) )
| ( hBOOL @ ( hext @ SV70 @ SY582 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1057]) ).
thf(1114,plain,
! [SV12: $i,SV71: $i] :
( ( ~ ( ~ ! [SY480: $i,SY481: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY480 ) @ SY481 ) @ SV71 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY480 ) @ SY481 ) @ SV12 ) ) )
| ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY480 ) @ SY481 ) @ SV12 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY480 ) @ SY481 ) @ SV71 ) ) ) )
| ( SV71 = SV12 ) )
| ~ ( ( SV71 != SV12 )
| ! [SY482: $i,SY483: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY482 ) @ SY483 ) @ SV71 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY482 ) @ SY483 ) @ SV12 ) ) )
| ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY482 ) @ SY483 ) @ SV12 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY482 ) @ SY483 ) @ SV71 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1058]) ).
thf(1115,plain,
! [SV72: $i,SV13: $i,SV112: $i] :
( ( ! [SY585: $i,SY586: $i,SY587: $i,SY588: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV112 ) @ SY585 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY586 ) @ SY587 ) ) @ ( red @ SY588 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV112 @ SV13 @ SV72 ) ) @ SY585 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SY586 @ SV13 @ SV72 ) ) @ SY587 ) ) @ ( red @ SY588 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1059]) ).
thf(1116,plain,
! [SV14: $i] :
( ( ! [SY589: $i] :
( SV14
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK1_SY287 @ SV14 ) ) @ SY589 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[1060]) ).
thf(1117,plain,
! [SV15: $i] :
( ( ~ ( ~ ! [SY289: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV15 @ SY289 ) )
| ! [SY290: $i,SY291: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV15 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY290 ) @ SY291 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1061]) ).
thf(1118,plain,
! [SV15: $i] :
( ( ~ ( ~ ! [SY292: $i,SY293: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV15 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY292 ) @ SY293 ) ) )
| ! [SY294: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV15 @ SY294 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1061]) ).
thf(1119,plain,
! [SV113: $i,SV73: $i,SV16: $i] :
( ( ! [SY590: $i,SY591: $i,SY592: $i,SY593: $i,SY594: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY590 ) @ SY591 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY592 ) @ SY593 ) ) @ ( red @ SY594 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SY590 @ SV16 @ SV73 @ SV113 ) ) @ SY591 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SY592 @ SV16 @ SV73 @ SV113 ) ) @ SY593 ) ) @ ( red @ SY594 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1062]) ).
thf(1120,plain,
! [SV114: $i,SV74: $i,SV17: $i] :
( ( ! [SY595: $i] :
~ ( ~ ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV17 ) @ SV74 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV114 ) @ SY595 ) )
| ~ ( ( SV17 != SV114 )
| ( SV74 != SY595 ) ) )
| ~ ( ~ ~ ( ( SV17 != SV114 )
| ( SV74 != SY595 ) )
| ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV17 ) @ SV74 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV114 ) @ SY595 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1063]) ).
thf(1121,plain,
! [SV115: $i,SV75: $i,SV18: $i] :
( ( ( ( hAPP_l207779698on_val @ SV18 @ SV75 )
!= SV115 )
| ( ( fun_up1149430426on_val @ SV18 @ SV75 @ SV115 )
= SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1064]) ).
thf(1122,plain,
! [SV19: $i] :
( ( ~ ( ~ ~ ! [SY307: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV19 @ SY307 ) )
| ~ ! [SY308: $i] :
~ ~ ! [SY309: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV19 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY308 ) @ SY309 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1065]) ).
thf(1123,plain,
! [SV19: $i] :
( ( ~ ( ~ ~ ! [SY310: $i] :
~ ~ ! [SY311: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV19 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY310 ) @ SY311 ) ) )
| ~ ! [SY312: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV19 @ SY312 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1065]) ).
thf(1124,plain,
! [SV116: $i,SV76: $i,SV20: $i] :
( ( ! [SY596: $i] :
( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV20 ) @ SV76 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV116 ) @ SY596 ) )
| ~ ( ( SV20 != SV116 )
| ( SV76 != SY596 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1066]) ).
thf(1125,plain,
! [SV117: $i,SV77: $i,SV21: $i] :
( ( ( ( hAPP_l207779698on_val @ SV21 @ SV77 )
!= ( hAPP_val_option_val @ some_val @ SV117 ) )
| ( ( fun_up1149430426on_val @ SV21 @ SV77 @ ( hAPP_val_option_val @ some_val @ SV117 ) )
= SV21 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1067]) ).
thf(1126,plain,
! [SV118: $i,SV78: $i,SV22: $i] :
( ( ! [SY597: $i,SY598: $i] :
( ( ( fun_up1149430426on_val @ SV22 @ SV78 @ ( hAPP_val_option_val @ some_val @ SV118 ) )
!= ( fun_up1149430426on_val @ SY597 @ SV78 @ ( hAPP_val_option_val @ some_val @ SY598 ) ) )
| ( SV118 = SY598 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1068]) ).
thf(1127,plain,
! [SV119: $i,SV79: $i,SV23: $i] :
( ( ! [SY599: $i] :
( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV23 ) @ SV79 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV119 ) @ SY599 ) )
| ~ ( ( SV23 != SV119 )
| ( SV79 != SY599 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1069]) ).
thf(1128,plain,
! [SV24: $i,SV120: $i,SV80: $i] :
( ( ! [SY600: $i,SY601: $i,SY602: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV80 ) @ SV120 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY600 ) @ SY601 ) ) @ ( red @ SY602 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV24 @ SV80 ) ) @ SV120 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV24 @ SY600 ) ) @ SY601 ) ) @ ( red @ SY602 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1070]) ).
thf(1129,plain,
! [SV25: $i] :
( ( ! [SY603: $i,SY604: $i,SY605: $i] :
( SV25
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK2_SY330 @ SV25 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY603 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY604 ) @ SY605 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[1071]) ).
thf(1130,plain,
! [SV26: $i] :
( ( ! [SY606: $i] :
( SV26
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK3_SY334 @ SV26 ) ) @ SY606 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[1072]) ).
thf(1131,plain,
! [SV81: $i,SV27: $i] :
( ( ~ ( ( ( bool @ SV27 )
!= ( bool @ SV81 ) )
| ~ ( ~ ( ~ ( hBOOL @ SV27 )
| ( hBOOL @ SV81 ) )
| ~ ( ~ ( hBOOL @ SV81 )
| ( hBOOL @ SV27 ) ) ) )
| ~ ( ~ ~ ( ~ ( ~ ( hBOOL @ SV27 )
| ( hBOOL @ SV81 ) )
| ~ ( ~ ( hBOOL @ SV81 )
| ( hBOOL @ SV27 ) ) )
| ( ( bool @ SV27 )
= ( bool @ SV81 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1073]) ).
thf(1132,plain,
! [SV28: $i] :
( ( ~ ( ~ ! [SY337: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV28 @ SY337 ) )
| ! [SY338: $i,SY339: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV28 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY338 ) @ SY339 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1074]) ).
thf(1133,plain,
! [SV28: $i] :
( ( ~ ( ~ ! [SY340: $i,SY341: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV28 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY340 ) @ SY341 ) ) )
| ! [SY342: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV28 @ SY342 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1074]) ).
thf(1134,plain,
! [SV29: $i,SV121: $i,SV82: $i] :
( ( ! [SY607: $i,SY608: $i,SY609: $i,SY610: $i,SY611: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV82 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV121 ) @ SY607 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY608 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY609 ) @ SY610 ) ) ) @ ( red @ SY611 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV82 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV121 ) @ ( map_ad325961431ar_val @ SV29 @ SY607 ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY608 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY609 ) @ ( map_ad325961431ar_val @ SV29 @ SY610 ) ) ) ) @ ( red @ SY611 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1075]) ).
thf(1135,plain,
! [SV30: $i] :
( ( ! [SY612: $i,SY613: $i] :
( SV30
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK4_SY350 @ SV30 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY612 ) @ SY613 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[1076]) ).
thf(1136,plain,
! [SV31: $i,SV83: $i] :
( ( ( ~ ! [SY516: $i,SY517: $i,SY518: $i,SY519: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV83 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY516 ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY517 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY518 ) @ SY519 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV83 @ SV31 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1077]) ).
thf(1137,plain,
! [SV122: $i,SV84: $i,SV32: $i] :
( ( ! [SY614: $i] :
~ ( ~ ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV32 ) @ SV84 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV122 ) @ SY614 ) )
| ~ ( ( SV32 != SV122 )
| ( SV84 != SY614 ) ) )
| ~ ( ~ ~ ( ( SV32 != SV122 )
| ( SV84 != SY614 ) )
| ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV32 ) @ SV84 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV122 ) @ SY614 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1078]) ).
thf(1138,plain,
! [SV33: $i] :
( ( ! [SY615: $i] :
( SV33
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK5_SY361 @ SV33 ) ) @ SY615 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[1079]) ).
thf(1139,plain,
! [SV123: $i,SV85: $i,SV34: $i] :
( ( ! [SY616: $i] :
( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV34 ) @ SV85 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV123 ) @ SY616 ) )
| ~ ( ( SV34 != SV123 )
| ( SV85 != SY616 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1080]) ).
thf(1140,plain,
! [SV86: $i,SV35: $i] :
( ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ SV35 @ SV86 ) )
| ( hBOOL @ ( hAPP_P282169671l_bool @ SV86 @ SV35 ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV86 @ SV35 ) )
| ( hBOOL @ ( member773094996on_val @ SV35 @ SV86 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1081]) ).
thf(1141,plain,
! [SV36: $i] :
( ( ! [SY617: $i] :
( SV36
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK6_SY367 @ SV36 ) ) @ SY617 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[1082]) ).
thf(1142,plain,
! [SV37: $i] :
( ( ~ ( ~ ! [SY369: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV37 @ SY369 ) )
| ! [SY370: $i,SY371: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV37 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY370 ) @ SY371 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1083]) ).
thf(1143,plain,
! [SV37: $i] :
( ( ~ ( ~ ! [SY372: $i,SY373: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV37 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY372 ) @ SY373 ) ) )
| ! [SY374: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV37 @ SY374 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1083]) ).
thf(1144,plain,
! [SV38: $i,SV124: $i,SV87: $i] :
( ( ! [SY618: $i,SY619: $i,SY620: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV87 ) @ SV124 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY618 ) @ SY619 ) ) @ ( red @ SY620 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV38 @ SV87 ) ) @ SV124 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV38 @ SY618 ) ) @ SY619 ) ) @ ( red @ SY620 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1084]) ).
thf(1145,plain,
! [SV39: $i,SV125: $i,SV88: $i] :
( ( ! [SY621: $i] :
( ~ ( hBOOL @ ( widen_2090681816t_char @ SV88 @ SV125 @ SY621 ) )
| ~ ( hBOOL @ ( widen_2090681816t_char @ SV88 @ SY621 @ SV39 ) )
| ( hBOOL @ ( widen_2090681816t_char @ SV88 @ SV125 @ SV39 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1085]) ).
thf(1146,plain,
! [SV40: $i] :
( ( ! [SY622: $i] :
( SV40
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK7_SY383 @ SV40 ) ) @ SY622 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[1086]) ).
thf(1147,plain,
! [SV41: $i,SV89: $i] :
( ( ~ ( ~ ! [SY530: $i,SY531: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY530 ) @ SY531 ) @ SV89 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY530 ) @ SY531 ) @ SV41 ) ) )
| ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY530 ) @ SY531 ) @ SV41 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY530 ) @ SY531 ) @ SV89 ) ) ) )
| ( SV89 = SV41 ) )
| ~ ( ( SV89 != SV41 )
| ! [SY532: $i,SY533: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY532 ) @ SY533 ) @ SV89 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY532 ) @ SY533 ) @ SV41 ) ) )
| ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY532 ) @ SY533 ) @ SV41 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY532 ) @ SY533 ) @ SV89 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1087]) ).
thf(1148,plain,
! [SV42: $i,SV90: $i] :
( ( ( ~ ! [SY534: $i,SY535: $i,SY536: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV90 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY534 ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY535 ) @ SY536 ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV90 @ SV42 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1088]) ).
thf(1149,plain,
! [SV126: $i,SV91: $i,SV43: $i] :
( ( ! [SY623: $i,SY624: $i,SY625: $i,SY626: $i,SY627: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY623 ) @ SY624 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY625 ) @ SY626 ) ) @ ( red @ SY627 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SY623 @ SV43 @ SV91 @ SV126 ) ) @ SY624 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SY625 @ SV43 @ SV91 @ SV126 ) ) @ SY626 ) ) @ ( red @ SY627 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1089]) ).
thf(1150,plain,
! [SV127: $i,SV92: $i,SV44: $i] :
( ( ! [SY628: $i,SY629: $i] :
~ ( ~ ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV44 @ SV92 @ ( hAPP_val_option_val @ some_val @ SV127 ) ) @ SY628 )
!= ( hAPP_val_option_val @ some_val @ SY629 ) )
| ~ ( ( SY628 != SV92 )
| ( SV127 != SY629 ) )
| ~ ( ~ ( ( SY628 != SV92 ) )
| ( ( hAPP_l207779698on_val @ SV44 @ SY628 )
!= ( hAPP_val_option_val @ some_val @ SY629 ) ) ) )
| ~ ( ~ ( ~ ( ( SY628 != SV92 )
| ( SV127 != SY629 ) )
| ~ ( ~ ( ( SY628 != SV92 ) )
| ( ( hAPP_l207779698on_val @ SV44 @ SY628 )
!= ( hAPP_val_option_val @ some_val @ SY629 ) ) ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV44 @ SV92 @ ( hAPP_val_option_val @ some_val @ SV127 ) ) @ SY628 )
= ( hAPP_val_option_val @ some_val @ SY629 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1090]) ).
thf(1151,plain,
! [SV128: $i,SV93: $i,SV45: $i] :
( ( ~ ( ~ ( ( ( fun_up1149430426on_val @ SV45 @ SV93 @ SV128 )
!= SV45 )
| ( ( hAPP_l207779698on_val @ SV45 @ SV93 )
= SV128 ) )
| ~ ( ( ( hAPP_l207779698on_val @ SV45 @ SV93 )
!= SV128 )
| ( ( fun_up1149430426on_val @ SV45 @ SV93 @ SV128 )
= SV45 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1091]) ).
thf(1152,plain,
! [SV46: $i] :
( ( ! [SY630: $i] :
( SV46
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK8_SY407 @ SV46 ) ) @ SY630 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[1092]) ).
thf(1153,plain,
! [SV47: $i] :
( ( ! [SY631: $i,SY632: $i] :
( SV47
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK9_SY409 @ SV47 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY631 ) @ SY632 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[1093]) ).
thf(1154,plain,
! [SV48: $i,SV94: $i] :
( ( ~ ( ~ ! [SY547: $i,SY548: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY547 ) @ SY548 ) @ SV94 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY547 ) @ SY548 ) @ SV48 ) ) )
| ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY547 ) @ SY548 ) @ SV48 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY547 ) @ SY548 ) @ SV94 ) ) ) )
| ( SV94 = SV48 ) )
| ~ ( ( SV94 != SV48 )
| ! [SY549: $i,SY550: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY549 ) @ SY550 ) @ SV94 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY549 ) @ SY550 ) @ SV48 ) ) )
| ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY549 ) @ SY550 ) @ SV48 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY549 ) @ SY550 ) @ SV94 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1094]) ).
thf(1155,plain,
! [SV95: $i,SV49: $i,SV129: $i] :
( ( ! [SY633: $i] :
~ ( ~ ( ( SV129 != SY633 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV49 @ SY633 @ SV95 ) @ SV129 )
= SV95 ) )
| ~ ( ~ ( ( SV129 != SY633 ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV49 @ SY633 @ SV95 ) @ SV129 )
= ( hAPP_l207779698on_val @ SV49 @ SV129 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1095]) ).
thf(1156,plain,
! [SV50: $i,SV130: $i,SV96: $i] :
( ( ! [SY634: $i,SY635: $i,SY636: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV96 ) @ SV130 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY634 ) @ SY635 ) ) @ ( red @ SY636 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV96 @ SV50 ) ) @ SV130 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SY634 @ SV50 ) ) @ SY635 ) ) @ ( red @ SY636 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1096]) ).
thf(1157,plain,
! [SV131: $i,SV97: $i,SV51: $i] :
( ( ! [SY637: $i] :
~ ( ~ ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV51 ) @ SV97 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV131 ) @ SY637 ) )
| ~ ( ( SV51 != SV131 )
| ( SV97 != SY637 ) ) )
| ~ ( ~ ~ ( ( SV51 != SV131 )
| ( SV97 != SY637 ) )
| ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV51 ) @ SV97 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV131 ) @ SY637 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1097]) ).
thf(1158,plain,
! [SV132: $i,SV98: $i,SV52: $i] :
( ( ! [SY638: $i,SY639: $i] :
( ( ( fun_up204312361on_val @ SV52 @ SV98 @ ( hAPP_val_option_val @ some_val @ SV132 ) )
!= ( fun_up204312361on_val @ SY638 @ SV98 @ ( hAPP_val_option_val @ some_val @ SY639 ) ) )
| ( SV132 = SY639 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1098]) ).
thf(1159,plain,
! [SV99: $i,SV53: $i] :
( ( ~ ( ( ( hAPP_val_option_val @ some_val @ SV53 )
!= ( hAPP_val_option_val @ some_val @ SV99 ) )
| ( SV53 = SV99 ) )
| ~ ( ( SV53 != SV99 )
| ( ( hAPP_val_option_val @ some_val @ SV53 )
= ( hAPP_val_option_val @ some_val @ SV99 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1099]) ).
thf(1160,plain,
! [SV133: $i,SV100: $i,SV54: $i] :
( ( ! [SY640: $i,SY641: $i] :
( ~ ( ( SY640 != SY641 ) )
| ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV54 @ SY640 @ SV100 ) @ SY641 @ SV133 )
= ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV54 @ SY641 @ SV133 ) @ SY640 @ SV100 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1100]) ).
thf(1161,plain,
! [SV55: $i] :
( ( ~ ( ~ ~ ! [SY437: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV55 @ SY437 ) )
| ~ ! [SY438: $i] :
~ ~ ! [SY439: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV55 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY438 ) @ SY439 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1101]) ).
thf(1162,plain,
! [SV55: $i] :
( ( ~ ( ~ ~ ! [SY440: $i] :
~ ~ ! [SY441: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV55 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY440 ) @ SY441 ) ) )
| ~ ! [SY442: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV55 @ SY442 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1101]) ).
thf(1163,plain,
! [SV101: $i,SV56: $i,SV134: $i] :
( ( ! [SY642: $i,SY643: $i,SY644: $i,SY645: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV134 ) @ SY642 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY643 ) @ SY644 ) ) @ ( red @ SY645 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV134 @ SV56 @ SV101 ) ) @ SY642 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SY643 @ SV56 @ SV101 ) ) @ SY644 ) ) @ ( red @ SY645 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1102]) ).
thf(1164,plain,
! [SV102: $i,SV57: $i,SV135: $i] :
( ( ! [SY646: $i] :
~ ( ~ ( ( SY646 != SV135 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV57 @ SV135 @ SV102 ) @ SY646 )
= SV102 ) )
| ~ ( ~ ( ( SY646 != SV135 ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV57 @ SV135 @ SV102 ) @ SY646 )
= ( hAPP_l207779698on_val @ SV57 @ SY646 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1103]) ).
thf(1165,plain,
! [SV58: $i,SV136: $i,SV103: $i] :
( ( ~ ( hBOOL @ ( hext @ SV103 @ SV136 ) )
| ~ ( hBOOL @ ( hext @ SV136 @ SV58 ) )
| ( hBOOL @ ( hext @ SV103 @ SV58 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1104]) ).
thf(1166,plain,
! [SV59: $i,SV104: $i] :
( ( ( ~ ! [SY573: $i,SY574: $i,SY575: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV104 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY573 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY574 ) @ SY575 ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV104 @ SV59 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1105]) ).
thf(1167,plain,
! [SV60: $i] :
( ( ~ ( ~ ~ ! [SY458: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV60 @ SY458 ) )
| ~ ! [SY459: $i] :
~ ~ ! [SY460: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV60 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY459 ) @ SY460 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1106]) ).
thf(1168,plain,
! [SV60: $i] :
( ( ~ ( ~ ~ ! [SY461: $i] :
~ ~ ! [SY462: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV60 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY461 ) @ SY462 ) ) )
| ~ ! [SY463: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV60 @ SY463 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1106]) ).
thf(1169,plain,
! [SV137: $i,SV106: $i,SV64: $i,SV4: $i] :
( ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV4 @ SV64 @ SV106 ) @ SV64 @ SV137 )
= ( fun_up1149430426on_val @ SV4 @ SV64 @ SV137 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1108]) ).
thf(1170,plain,
! [SV138: $i,SV107: $i,SV66: $i,SV6: $i] :
( ( ( map_ad325961431ar_val @ SV6 @ ( fun_up1149430426on_val @ SV66 @ SV107 @ ( hAPP_val_option_val @ some_val @ SV138 ) ) )
= ( fun_up1149430426on_val @ ( map_ad325961431ar_val @ SV6 @ SV66 ) @ SV107 @ ( hAPP_val_option_val @ some_val @ SV138 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1109]) ).
thf(1171,plain,
! [SV68: $i,SV9: $i,SV139: $i,SV109: $i] :
( ( ~ ( ( SV109 != SV139 ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV9 @ SV139 @ SV68 ) @ SV109 )
= ( hAPP_l207779698on_val @ SV9 @ SV109 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1111]) ).
thf(1172,plain,
! [SV140: $i,SV110: $i,SV69: $i,SV10: $i] :
( ( ! [SY647: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV10 ) @ SV69 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV110 ) @ SV140 ) ) @ ( red @ SY647 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV10 ) ) @ SV69 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV110 ) ) @ SV140 ) ) @ ( red @ SY647 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1112]) ).
thf(1173,plain,
! [SV141: $i,SV111: $i,SV70: $i,SV11: $i] :
( ( ! [SY648: $i,SY649: $i,SY650: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV11 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV70 ) @ SV111 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV141 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY648 ) @ SY649 ) ) ) @ ( red @ SY650 ) ) )
| ( hBOOL @ ( hext @ SV70 @ SY648 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1113]) ).
thf(1174,plain,
! [SV12: $i,SV71: $i] :
( ( ~ ( ~ ! [SY480: $i,SY481: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY480 ) @ SY481 ) @ SV71 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY480 ) @ SY481 ) @ SV12 ) ) )
| ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY480 ) @ SY481 ) @ SV12 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY480 ) @ SY481 ) @ SV71 ) ) ) )
| ( SV71 = SV12 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1114]) ).
thf(1175,plain,
! [SV12: $i,SV71: $i] :
( ( ~ ( ( SV71 != SV12 )
| ! [SY482: $i,SY483: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY482 ) @ SY483 ) @ SV71 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY482 ) @ SY483 ) @ SV12 ) ) )
| ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY482 ) @ SY483 ) @ SV12 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY482 ) @ SY483 ) @ SV71 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1114]) ).
thf(1176,plain,
! [SV72: $i,SV13: $i,SV142: $i,SV112: $i] :
( ( ! [SY651: $i,SY652: $i,SY653: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV112 ) @ SV142 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY651 ) @ SY652 ) ) @ ( red @ SY653 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV112 @ SV13 @ SV72 ) ) @ SV142 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SY651 @ SV13 @ SV72 ) ) @ SY652 ) ) @ ( red @ SY653 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1115]) ).
thf(1177,plain,
! [SV14: $i] :
( ( SV14
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK1_SY287 @ SV14 ) ) @ ( sK10_SY589 @ SV14 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[1116]) ).
thf(1178,plain,
! [SV15: $i] :
( ( ~ ! [SY289: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV15 @ SY289 ) )
| ! [SY290: $i,SY291: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV15 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY290 ) @ SY291 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1117]) ).
thf(1179,plain,
! [SV15: $i] :
( ( ~ ! [SY292: $i,SY293: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV15 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY292 ) @ SY293 ) ) )
| ! [SY294: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV15 @ SY294 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1118]) ).
thf(1180,plain,
! [SV113: $i,SV73: $i,SV16: $i,SV143: $i] :
( ( ! [SY654: $i,SY655: $i,SY656: $i,SY657: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV143 ) @ SY654 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY655 ) @ SY656 ) ) @ ( red @ SY657 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV143 @ SV16 @ SV73 @ SV113 ) ) @ SY654 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SY655 @ SV16 @ SV73 @ SV113 ) ) @ SY656 ) ) @ ( red @ SY657 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1119]) ).
thf(1181,plain,
! [SV144: $i,SV114: $i,SV74: $i,SV17: $i] :
( ( ~ ( ~ ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV17 ) @ SV74 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV114 ) @ SV144 ) )
| ~ ( ( SV17 != SV114 )
| ( SV74 != SV144 ) ) )
| ~ ( ~ ~ ( ( SV17 != SV114 )
| ( SV74 != SV144 ) )
| ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV17 ) @ SV74 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV114 ) @ SV144 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1120]) ).
thf(1182,plain,
! [SV115: $i,SV75: $i,SV18: $i] :
( ( ( ( hAPP_l207779698on_val @ SV18 @ SV75 )
!= SV115 )
= $true )
| ( ( ( fun_up1149430426on_val @ SV18 @ SV75 @ SV115 )
= SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1121]) ).
thf(1183,plain,
! [SV19: $i] :
( ( ~ ~ ! [SY307: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV19 @ SY307 ) )
| ~ ! [SY308: $i] :
~ ~ ! [SY309: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV19 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY308 ) @ SY309 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1122]) ).
thf(1184,plain,
! [SV19: $i] :
( ( ~ ~ ! [SY310: $i] :
~ ~ ! [SY311: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV19 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY310 ) @ SY311 ) ) )
| ~ ! [SY312: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV19 @ SY312 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1123]) ).
thf(1185,plain,
! [SV145: $i,SV116: $i,SV76: $i,SV20: $i] :
( ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV20 ) @ SV76 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV116 ) @ SV145 ) )
| ~ ( ( SV20 != SV116 )
| ( SV76 != SV145 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1124]) ).
thf(1186,plain,
! [SV117: $i,SV77: $i,SV21: $i] :
( ( ( ( hAPP_l207779698on_val @ SV21 @ SV77 )
!= ( hAPP_val_option_val @ some_val @ SV117 ) )
= $true )
| ( ( ( fun_up1149430426on_val @ SV21 @ SV77 @ ( hAPP_val_option_val @ some_val @ SV117 ) )
= SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1125]) ).
thf(1187,plain,
! [SV146: $i,SV118: $i,SV78: $i,SV22: $i] :
( ( ! [SY658: $i] :
( ( ( fun_up1149430426on_val @ SV22 @ SV78 @ ( hAPP_val_option_val @ some_val @ SV118 ) )
!= ( fun_up1149430426on_val @ SV146 @ SV78 @ ( hAPP_val_option_val @ some_val @ SY658 ) ) )
| ( SV118 = SY658 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1126]) ).
thf(1188,plain,
! [SV147: $i,SV119: $i,SV79: $i,SV23: $i] :
( ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV23 ) @ SV79 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV119 ) @ SV147 ) )
| ~ ( ( SV23 != SV119 )
| ( SV79 != SV147 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1127]) ).
thf(1189,plain,
! [SV24: $i,SV148: $i,SV120: $i,SV80: $i] :
( ( ! [SY659: $i,SY660: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV80 ) @ SV120 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV148 ) @ SY659 ) ) @ ( red @ SY660 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV24 @ SV80 ) ) @ SV120 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV24 @ SV148 ) ) @ SY659 ) ) @ ( red @ SY660 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1128]) ).
thf(1190,plain,
! [SV25: $i] :
( ( ! [SY661: $i,SY662: $i] :
( SV25
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK2_SY330 @ SV25 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK11_SY603 @ SV25 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY661 ) @ SY662 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[1129]) ).
thf(1191,plain,
! [SV26: $i] :
( ( SV26
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK3_SY334 @ SV26 ) ) @ ( sK12_SY606 @ SV26 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[1130]) ).
thf(1192,plain,
! [SV81: $i,SV27: $i] :
( ( ~ ( ( ( bool @ SV27 )
!= ( bool @ SV81 ) )
| ~ ( ~ ( ~ ( hBOOL @ SV27 )
| ( hBOOL @ SV81 ) )
| ~ ( ~ ( hBOOL @ SV81 )
| ( hBOOL @ SV27 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1131]) ).
thf(1193,plain,
! [SV81: $i,SV27: $i] :
( ( ~ ( ~ ~ ( ~ ( ~ ( hBOOL @ SV27 )
| ( hBOOL @ SV81 ) )
| ~ ( ~ ( hBOOL @ SV81 )
| ( hBOOL @ SV27 ) ) )
| ( ( bool @ SV27 )
= ( bool @ SV81 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1131]) ).
thf(1194,plain,
! [SV28: $i] :
( ( ~ ! [SY337: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV28 @ SY337 ) )
| ! [SY338: $i,SY339: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV28 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY338 ) @ SY339 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1132]) ).
thf(1195,plain,
! [SV28: $i] :
( ( ~ ! [SY340: $i,SY341: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV28 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY340 ) @ SY341 ) ) )
| ! [SY342: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV28 @ SY342 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1133]) ).
thf(1196,plain,
! [SV29: $i,SV149: $i,SV121: $i,SV82: $i] :
( ( ! [SY663: $i,SY664: $i,SY665: $i,SY666: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV82 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV121 ) @ SV149 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY663 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY664 ) @ SY665 ) ) ) @ ( red @ SY666 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV82 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV121 ) @ ( map_ad325961431ar_val @ SV29 @ SV149 ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY663 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY664 ) @ ( map_ad325961431ar_val @ SV29 @ SY665 ) ) ) ) @ ( red @ SY666 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1134]) ).
thf(1197,plain,
! [SV30: $i] :
( ( ! [SY667: $i] :
( SV30
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK4_SY350 @ SV30 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK13_SY612 @ SV30 ) ) @ SY667 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[1135]) ).
thf(1198,plain,
! [SV31: $i,SV83: $i] :
( ( ( ! [SY516: $i,SY517: $i,SY518: $i,SY519: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV83 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY516 ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY517 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY518 ) @ SY519 ) ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV83 @ SV31 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1136]) ).
thf(1199,plain,
! [SV150: $i,SV122: $i,SV84: $i,SV32: $i] :
( ( ~ ( ~ ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV32 ) @ SV84 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV122 ) @ SV150 ) )
| ~ ( ( SV32 != SV122 )
| ( SV84 != SV150 ) ) )
| ~ ( ~ ~ ( ( SV32 != SV122 )
| ( SV84 != SV150 ) )
| ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV32 ) @ SV84 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV122 ) @ SV150 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1137]) ).
thf(1200,plain,
! [SV33: $i] :
( ( SV33
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK5_SY361 @ SV33 ) ) @ ( sK14_SY615 @ SV33 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[1138]) ).
thf(1201,plain,
! [SV151: $i,SV123: $i,SV85: $i,SV34: $i] :
( ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV34 ) @ SV85 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV123 ) @ SV151 ) )
| ~ ( ( SV34 != SV123 )
| ( SV85 != SV151 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1139]) ).
thf(1202,plain,
! [SV86: $i,SV35: $i] :
( ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ SV35 @ SV86 ) )
| ( hBOOL @ ( hAPP_P282169671l_bool @ SV86 @ SV35 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1140]) ).
thf(1203,plain,
! [SV35: $i,SV86: $i] :
( ( ~ ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV86 @ SV35 ) )
| ( hBOOL @ ( member773094996on_val @ SV35 @ SV86 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1140]) ).
thf(1204,plain,
! [SV36: $i] :
( ( SV36
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK6_SY367 @ SV36 ) ) @ ( sK15_SY617 @ SV36 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[1141]) ).
thf(1205,plain,
! [SV37: $i] :
( ( ~ ! [SY369: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV37 @ SY369 ) )
| ! [SY370: $i,SY371: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV37 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY370 ) @ SY371 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1142]) ).
thf(1206,plain,
! [SV37: $i] :
( ( ~ ! [SY372: $i,SY373: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV37 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY372 ) @ SY373 ) ) )
| ! [SY374: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV37 @ SY374 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1143]) ).
thf(1207,plain,
! [SV38: $i,SV152: $i,SV124: $i,SV87: $i] :
( ( ! [SY668: $i,SY669: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV87 ) @ SV124 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV152 ) @ SY668 ) ) @ ( red @ SY669 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV38 @ SV87 ) ) @ SV124 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV38 @ SV152 ) ) @ SY668 ) ) @ ( red @ SY669 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1144]) ).
thf(1208,plain,
! [SV39: $i,SV153: $i,SV125: $i,SV88: $i] :
( ( ~ ( hBOOL @ ( widen_2090681816t_char @ SV88 @ SV125 @ SV153 ) )
| ~ ( hBOOL @ ( widen_2090681816t_char @ SV88 @ SV153 @ SV39 ) )
| ( hBOOL @ ( widen_2090681816t_char @ SV88 @ SV125 @ SV39 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1145]) ).
thf(1209,plain,
! [SV40: $i] :
( ( SV40
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK7_SY383 @ SV40 ) ) @ ( sK16_SY622 @ SV40 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[1146]) ).
thf(1210,plain,
! [SV41: $i,SV89: $i] :
( ( ~ ( ~ ! [SY530: $i,SY531: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY530 ) @ SY531 ) @ SV89 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY530 ) @ SY531 ) @ SV41 ) ) )
| ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY530 ) @ SY531 ) @ SV41 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY530 ) @ SY531 ) @ SV89 ) ) ) )
| ( SV89 = SV41 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1147]) ).
thf(1211,plain,
! [SV41: $i,SV89: $i] :
( ( ~ ( ( SV89 != SV41 )
| ! [SY532: $i,SY533: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY532 ) @ SY533 ) @ SV89 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY532 ) @ SY533 ) @ SV41 ) ) )
| ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY532 ) @ SY533 ) @ SV41 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY532 ) @ SY533 ) @ SV89 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1147]) ).
thf(1212,plain,
! [SV42: $i,SV90: $i] :
( ( ( ! [SY534: $i,SY535: $i,SY536: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV90 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY534 ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY535 ) @ SY536 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV90 @ SV42 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1148]) ).
thf(1213,plain,
! [SV126: $i,SV91: $i,SV43: $i,SV154: $i] :
( ( ! [SY670: $i,SY671: $i,SY672: $i,SY673: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV154 ) @ SY670 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY671 ) @ SY672 ) ) @ ( red @ SY673 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV154 @ SV43 @ SV91 @ SV126 ) ) @ SY670 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SY671 @ SV43 @ SV91 @ SV126 ) ) @ SY672 ) ) @ ( red @ SY673 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1149]) ).
thf(1214,plain,
! [SV155: $i,SV127: $i,SV92: $i,SV44: $i] :
( ( ! [SY674: $i] :
~ ( ~ ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV44 @ SV92 @ ( hAPP_val_option_val @ some_val @ SV127 ) ) @ SV155 )
!= ( hAPP_val_option_val @ some_val @ SY674 ) )
| ~ ( ( SV155 != SV92 )
| ( SV127 != SY674 ) )
| ~ ( ~ ( ( SV155 != SV92 ) )
| ( ( hAPP_l207779698on_val @ SV44 @ SV155 )
!= ( hAPP_val_option_val @ some_val @ SY674 ) ) ) )
| ~ ( ~ ( ~ ( ( SV155 != SV92 )
| ( SV127 != SY674 ) )
| ~ ( ~ ( ( SV155 != SV92 ) )
| ( ( hAPP_l207779698on_val @ SV44 @ SV155 )
!= ( hAPP_val_option_val @ some_val @ SY674 ) ) ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV44 @ SV92 @ ( hAPP_val_option_val @ some_val @ SV127 ) ) @ SV155 )
= ( hAPP_val_option_val @ some_val @ SY674 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1150]) ).
thf(1215,plain,
! [SV128: $i,SV93: $i,SV45: $i] :
( ( ~ ( ( ( fun_up1149430426on_val @ SV45 @ SV93 @ SV128 )
!= SV45 )
| ( ( hAPP_l207779698on_val @ SV45 @ SV93 )
= SV128 ) )
| ~ ( ( ( hAPP_l207779698on_val @ SV45 @ SV93 )
!= SV128 )
| ( ( fun_up1149430426on_val @ SV45 @ SV93 @ SV128 )
= SV45 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1151]) ).
thf(1216,plain,
! [SV46: $i] :
( ( SV46
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK8_SY407 @ SV46 ) ) @ ( sK17_SY630 @ SV46 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[1152]) ).
thf(1217,plain,
! [SV47: $i] :
( ( ! [SY675: $i] :
( SV47
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK9_SY409 @ SV47 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK18_SY631 @ SV47 ) ) @ SY675 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[1153]) ).
thf(1218,plain,
! [SV48: $i,SV94: $i] :
( ( ~ ( ~ ! [SY547: $i,SY548: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY547 ) @ SY548 ) @ SV94 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY547 ) @ SY548 ) @ SV48 ) ) )
| ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY547 ) @ SY548 ) @ SV48 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY547 ) @ SY548 ) @ SV94 ) ) ) )
| ( SV94 = SV48 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1154]) ).
thf(1219,plain,
! [SV48: $i,SV94: $i] :
( ( ~ ( ( SV94 != SV48 )
| ! [SY549: $i,SY550: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY549 ) @ SY550 ) @ SV94 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY549 ) @ SY550 ) @ SV48 ) ) )
| ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY549 ) @ SY550 ) @ SV48 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY549 ) @ SY550 ) @ SV94 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1154]) ).
thf(1220,plain,
! [SV95: $i,SV49: $i,SV156: $i,SV129: $i] :
( ( ~ ( ~ ( ( SV129 != SV156 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV49 @ SV156 @ SV95 ) @ SV129 )
= SV95 ) )
| ~ ( ~ ( ( SV129 != SV156 ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV49 @ SV156 @ SV95 ) @ SV129 )
= ( hAPP_l207779698on_val @ SV49 @ SV129 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1155]) ).
thf(1221,plain,
! [SV50: $i,SV157: $i,SV130: $i,SV96: $i] :
( ( ! [SY676: $i,SY677: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV96 ) @ SV130 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV157 ) @ SY676 ) ) @ ( red @ SY677 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV96 @ SV50 ) ) @ SV130 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV157 @ SV50 ) ) @ SY676 ) ) @ ( red @ SY677 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1156]) ).
thf(1222,plain,
! [SV158: $i,SV131: $i,SV97: $i,SV51: $i] :
( ( ~ ( ~ ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV51 ) @ SV97 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV131 ) @ SV158 ) )
| ~ ( ( SV51 != SV131 )
| ( SV97 != SV158 ) ) )
| ~ ( ~ ~ ( ( SV51 != SV131 )
| ( SV97 != SV158 ) )
| ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV51 ) @ SV97 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV131 ) @ SV158 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1157]) ).
thf(1223,plain,
! [SV159: $i,SV132: $i,SV98: $i,SV52: $i] :
( ( ! [SY678: $i] :
( ( ( fun_up204312361on_val @ SV52 @ SV98 @ ( hAPP_val_option_val @ some_val @ SV132 ) )
!= ( fun_up204312361on_val @ SV159 @ SV98 @ ( hAPP_val_option_val @ some_val @ SY678 ) ) )
| ( SV132 = SY678 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1158]) ).
thf(1224,plain,
! [SV99: $i,SV53: $i] :
( ( ~ ( ( ( hAPP_val_option_val @ some_val @ SV53 )
!= ( hAPP_val_option_val @ some_val @ SV99 ) )
| ( SV53 = SV99 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1159]) ).
thf(1225,plain,
! [SV99: $i,SV53: $i] :
( ( ~ ( ( SV53 != SV99 )
| ( ( hAPP_val_option_val @ some_val @ SV53 )
= ( hAPP_val_option_val @ some_val @ SV99 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1159]) ).
thf(1226,plain,
! [SV133: $i,SV100: $i,SV54: $i,SV160: $i] :
( ( ! [SY679: $i] :
( ~ ( ( SV160 != SY679 ) )
| ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV54 @ SV160 @ SV100 ) @ SY679 @ SV133 )
= ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV54 @ SY679 @ SV133 ) @ SV160 @ SV100 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1160]) ).
thf(1227,plain,
! [SV55: $i] :
( ( ~ ~ ! [SY437: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV55 @ SY437 ) )
| ~ ! [SY438: $i] :
~ ~ ! [SY439: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV55 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY438 ) @ SY439 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1161]) ).
thf(1228,plain,
! [SV55: $i] :
( ( ~ ~ ! [SY440: $i] :
~ ~ ! [SY441: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV55 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY440 ) @ SY441 ) ) )
| ~ ! [SY442: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV55 @ SY442 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1162]) ).
thf(1229,plain,
! [SV101: $i,SV56: $i,SV161: $i,SV134: $i] :
( ( ! [SY680: $i,SY681: $i,SY682: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV134 ) @ SV161 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY680 ) @ SY681 ) ) @ ( red @ SY682 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV134 @ SV56 @ SV101 ) ) @ SV161 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SY680 @ SV56 @ SV101 ) ) @ SY681 ) ) @ ( red @ SY682 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1163]) ).
thf(1230,plain,
! [SV102: $i,SV57: $i,SV135: $i,SV162: $i] :
( ( ~ ( ~ ( ( SV162 != SV135 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV57 @ SV135 @ SV102 ) @ SV162 )
= SV102 ) )
| ~ ( ~ ( ( SV162 != SV135 ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV57 @ SV135 @ SV102 ) @ SV162 )
= ( hAPP_l207779698on_val @ SV57 @ SV162 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1164]) ).
thf(1231,plain,
! [SV58: $i,SV136: $i,SV103: $i] :
( ( ( ~ ( hBOOL @ ( hext @ SV103 @ SV136 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hext @ SV136 @ SV58 ) )
| ( hBOOL @ ( hext @ SV103 @ SV58 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1165]) ).
thf(1232,plain,
! [SV59: $i,SV104: $i] :
( ( ( ! [SY573: $i,SY574: $i,SY575: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV104 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY573 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY574 ) @ SY575 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV104 @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1166]) ).
thf(1233,plain,
! [SV60: $i] :
( ( ~ ~ ! [SY458: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV60 @ SY458 ) )
| ~ ! [SY459: $i] :
~ ~ ! [SY460: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV60 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY459 ) @ SY460 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1167]) ).
thf(1234,plain,
! [SV60: $i] :
( ( ~ ~ ! [SY461: $i] :
~ ~ ! [SY462: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV60 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY461 ) @ SY462 ) ) )
| ~ ! [SY463: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV60 @ SY463 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1168]) ).
thf(1235,plain,
! [SV68: $i,SV9: $i,SV139: $i,SV109: $i] :
( ( ( ~ ( ( SV109 != SV139 ) ) )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV9 @ SV139 @ SV68 ) @ SV109 )
= ( hAPP_l207779698on_val @ SV9 @ SV109 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1171]) ).
thf(1236,plain,
! [SV163: $i,SV140: $i,SV110: $i,SV69: $i,SV10: $i] :
( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV10 ) @ SV69 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV110 ) @ SV140 ) ) @ ( red @ SV163 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV10 ) ) @ SV69 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV110 ) ) @ SV140 ) ) @ ( red @ SV163 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1172]) ).
thf(1237,plain,
! [SV164: $i,SV141: $i,SV111: $i,SV70: $i,SV11: $i] :
( ( ! [SY683: $i,SY684: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV11 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV70 ) @ SV111 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV141 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV164 ) @ SY683 ) ) ) @ ( red @ SY684 ) ) )
| ( hBOOL @ ( hext @ SV70 @ SV164 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1173]) ).
thf(1238,plain,
! [SV12: $i,SV71: $i] :
( ( ~ ! [SY480: $i,SY481: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY480 ) @ SY481 ) @ SV71 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY480 ) @ SY481 ) @ SV12 ) ) )
| ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY480 ) @ SY481 ) @ SV12 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY480 ) @ SY481 ) @ SV71 ) ) ) )
| ( SV71 = SV12 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1174]) ).
thf(1239,plain,
! [SV12: $i,SV71: $i] :
( ( ( SV71 != SV12 )
| ! [SY482: $i,SY483: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY482 ) @ SY483 ) @ SV71 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY482 ) @ SY483 ) @ SV12 ) ) )
| ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY482 ) @ SY483 ) @ SV12 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY482 ) @ SY483 ) @ SV71 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1175]) ).
thf(1240,plain,
! [SV72: $i,SV13: $i,SV165: $i,SV142: $i,SV112: $i] :
( ( ! [SY685: $i,SY686: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV112 ) @ SV142 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV165 ) @ SY685 ) ) @ ( red @ SY686 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV112 @ SV13 @ SV72 ) ) @ SV142 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV165 @ SV13 @ SV72 ) ) @ SY685 ) ) @ ( red @ SY686 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1176]) ).
thf(1241,plain,
! [SV14: $i] :
( ( SV14
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK1_SY287 @ SV14 ) ) @ ( sK10_SY589 @ SV14 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1177]) ).
thf(1242,plain,
! [SV15: $i] :
( ( ( ~ ! [SY289: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV15 @ SY289 ) ) )
= $true )
| ( ( ! [SY290: $i,SY291: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV15 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY290 ) @ SY291 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1178]) ).
thf(1243,plain,
! [SV15: $i] :
( ( ( ~ ! [SY292: $i,SY293: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV15 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY292 ) @ SY293 ) ) ) )
= $true )
| ( ( ! [SY294: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV15 @ SY294 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1179]) ).
thf(1244,plain,
! [SV113: $i,SV73: $i,SV16: $i,SV166: $i,SV143: $i] :
( ( ! [SY687: $i,SY688: $i,SY689: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV143 ) @ SV166 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY687 ) @ SY688 ) ) @ ( red @ SY689 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV143 @ SV16 @ SV73 @ SV113 ) ) @ SV166 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SY687 @ SV16 @ SV73 @ SV113 ) ) @ SY688 ) ) @ ( red @ SY689 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1180]) ).
thf(1245,plain,
! [SV144: $i,SV114: $i,SV74: $i,SV17: $i] :
( ( ~ ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV17 ) @ SV74 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV114 ) @ SV144 ) )
| ~ ( ( SV17 != SV114 )
| ( SV74 != SV144 ) ) )
| ~ ( ~ ~ ( ( SV17 != SV114 )
| ( SV74 != SV144 ) )
| ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV17 ) @ SV74 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV114 ) @ SV144 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1181]) ).
thf(1246,plain,
! [SV115: $i,SV75: $i,SV18: $i] :
( ( ( ( hAPP_l207779698on_val @ SV18 @ SV75 )
= SV115 )
= $false )
| ( ( ( fun_up1149430426on_val @ SV18 @ SV75 @ SV115 )
= SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1182]) ).
thf(1247,plain,
! [SV19: $i] :
( ( ( ~ ~ ! [SY307: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV19 @ SY307 ) ) )
= $true )
| ( ( ~ ! [SY308: $i] :
~ ~ ! [SY309: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV19 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY308 ) @ SY309 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1183]) ).
thf(1248,plain,
! [SV19: $i] :
( ( ( ~ ~ ! [SY310: $i] :
~ ~ ! [SY311: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV19 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY310 ) @ SY311 ) ) ) )
= $true )
| ( ( ~ ! [SY312: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV19 @ SY312 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1184]) ).
thf(1249,plain,
! [SV145: $i,SV116: $i,SV76: $i,SV20: $i] :
( ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV20 ) @ SV76 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV116 ) @ SV145 ) )
= $true )
| ( ( ~ ( ( SV20 != SV116 )
| ( SV76 != SV145 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1185]) ).
thf(1250,plain,
! [SV117: $i,SV77: $i,SV21: $i] :
( ( ( ( hAPP_l207779698on_val @ SV21 @ SV77 )
= ( hAPP_val_option_val @ some_val @ SV117 ) )
= $false )
| ( ( ( fun_up1149430426on_val @ SV21 @ SV77 @ ( hAPP_val_option_val @ some_val @ SV117 ) )
= SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1186]) ).
thf(1251,plain,
! [SV167: $i,SV146: $i,SV118: $i,SV78: $i,SV22: $i] :
( ( ( ( fun_up1149430426on_val @ SV22 @ SV78 @ ( hAPP_val_option_val @ some_val @ SV118 ) )
!= ( fun_up1149430426on_val @ SV146 @ SV78 @ ( hAPP_val_option_val @ some_val @ SV167 ) ) )
| ( SV118 = SV167 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1187]) ).
thf(1252,plain,
! [SV147: $i,SV119: $i,SV79: $i,SV23: $i] :
( ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV23 ) @ SV79 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV119 ) @ SV147 ) )
= $true )
| ( ( ~ ( ( SV23 != SV119 )
| ( SV79 != SV147 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1188]) ).
thf(1253,plain,
! [SV24: $i,SV168: $i,SV148: $i,SV120: $i,SV80: $i] :
( ( ! [SY690: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV80 ) @ SV120 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV148 ) @ SV168 ) ) @ ( red @ SY690 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV24 @ SV80 ) ) @ SV120 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV24 @ SV148 ) ) @ SV168 ) ) @ ( red @ SY690 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1189]) ).
thf(1254,plain,
! [SV25: $i] :
( ( ! [SY691: $i] :
( SV25
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK2_SY330 @ SV25 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK11_SY603 @ SV25 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK19_SY661 @ SV25 ) ) @ SY691 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[1190]) ).
thf(1255,plain,
! [SV26: $i] :
( ( SV26
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK3_SY334 @ SV26 ) ) @ ( sK12_SY606 @ SV26 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1191]) ).
thf(1256,plain,
! [SV81: $i,SV27: $i] :
( ( ( ( bool @ SV27 )
!= ( bool @ SV81 ) )
| ~ ( ~ ( ~ ( hBOOL @ SV27 )
| ( hBOOL @ SV81 ) )
| ~ ( ~ ( hBOOL @ SV81 )
| ( hBOOL @ SV27 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1192]) ).
thf(1257,plain,
! [SV81: $i,SV27: $i] :
( ( ~ ~ ( ~ ( ~ ( hBOOL @ SV27 )
| ( hBOOL @ SV81 ) )
| ~ ( ~ ( hBOOL @ SV81 )
| ( hBOOL @ SV27 ) ) )
| ( ( bool @ SV27 )
= ( bool @ SV81 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1193]) ).
thf(1258,plain,
! [SV28: $i] :
( ( ( ~ ! [SY337: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV28 @ SY337 ) ) )
= $true )
| ( ( ! [SY338: $i,SY339: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV28 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY338 ) @ SY339 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1194]) ).
thf(1259,plain,
! [SV28: $i] :
( ( ( ~ ! [SY340: $i,SY341: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV28 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY340 ) @ SY341 ) ) ) )
= $true )
| ( ( ! [SY342: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV28 @ SY342 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1195]) ).
thf(1260,plain,
! [SV29: $i,SV169: $i,SV149: $i,SV121: $i,SV82: $i] :
( ( ! [SY692: $i,SY693: $i,SY694: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV82 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV121 ) @ SV149 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV169 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY692 ) @ SY693 ) ) ) @ ( red @ SY694 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV82 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV121 ) @ ( map_ad325961431ar_val @ SV29 @ SV149 ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV169 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY692 ) @ ( map_ad325961431ar_val @ SV29 @ SY693 ) ) ) ) @ ( red @ SY694 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1196]) ).
thf(1261,plain,
! [SV30: $i] :
( ( SV30
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK4_SY350 @ SV30 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK13_SY612 @ SV30 ) ) @ ( sK20_SY667 @ SV30 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[1197]) ).
thf(1262,plain,
! [SV31: $i,SV83: $i] :
( ( ( ! [SY695: $i,SY696: $i,SY697: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV83 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK21_SY516 @ SV31 @ SV83 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY695 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY696 ) @ SY697 ) ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV83 @ SV31 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1198]) ).
thf(1263,plain,
! [SV150: $i,SV122: $i,SV84: $i,SV32: $i] :
( ( ~ ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV32 ) @ SV84 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV122 ) @ SV150 ) )
| ~ ( ( SV32 != SV122 )
| ( SV84 != SV150 ) ) )
| ~ ( ~ ~ ( ( SV32 != SV122 )
| ( SV84 != SV150 ) )
| ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV32 ) @ SV84 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV122 ) @ SV150 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1199]) ).
thf(1264,plain,
! [SV33: $i] :
( ( SV33
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK5_SY361 @ SV33 ) ) @ ( sK14_SY615 @ SV33 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1200]) ).
thf(1265,plain,
! [SV151: $i,SV123: $i,SV85: $i,SV34: $i] :
( ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV34 ) @ SV85 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV123 ) @ SV151 ) )
= $true )
| ( ( ~ ( ( SV34 != SV123 )
| ( SV85 != SV151 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1201]) ).
thf(1266,plain,
! [SV86: $i,SV35: $i] :
( ( ~ ( hBOOL @ ( member773094996on_val @ SV35 @ SV86 ) )
| ( hBOOL @ ( hAPP_P282169671l_bool @ SV86 @ SV35 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1202]) ).
thf(1267,plain,
! [SV35: $i,SV86: $i] :
( ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV86 @ SV35 ) )
| ( hBOOL @ ( member773094996on_val @ SV35 @ SV86 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1203]) ).
thf(1268,plain,
! [SV36: $i] :
( ( SV36
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK6_SY367 @ SV36 ) ) @ ( sK15_SY617 @ SV36 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1204]) ).
thf(1269,plain,
! [SV37: $i] :
( ( ( ~ ! [SY369: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV37 @ SY369 ) ) )
= $true )
| ( ( ! [SY370: $i,SY371: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV37 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY370 ) @ SY371 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1205]) ).
thf(1270,plain,
! [SV37: $i] :
( ( ( ~ ! [SY372: $i,SY373: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV37 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY372 ) @ SY373 ) ) ) )
= $true )
| ( ( ! [SY374: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV37 @ SY374 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1206]) ).
thf(1271,plain,
! [SV38: $i,SV170: $i,SV152: $i,SV124: $i,SV87: $i] :
( ( ! [SY698: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV87 ) @ SV124 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV152 ) @ SV170 ) ) @ ( red @ SY698 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV38 @ SV87 ) ) @ SV124 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV38 @ SV152 ) ) @ SV170 ) ) @ ( red @ SY698 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1207]) ).
thf(1272,plain,
! [SV39: $i,SV153: $i,SV125: $i,SV88: $i] :
( ( ( ~ ( hBOOL @ ( widen_2090681816t_char @ SV88 @ SV125 @ SV153 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( widen_2090681816t_char @ SV88 @ SV153 @ SV39 ) )
| ( hBOOL @ ( widen_2090681816t_char @ SV88 @ SV125 @ SV39 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1208]) ).
thf(1273,plain,
! [SV40: $i] :
( ( SV40
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK7_SY383 @ SV40 ) ) @ ( sK16_SY622 @ SV40 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1209]) ).
thf(1274,plain,
! [SV41: $i,SV89: $i] :
( ( ~ ! [SY530: $i,SY531: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY530 ) @ SY531 ) @ SV89 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY530 ) @ SY531 ) @ SV41 ) ) )
| ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY530 ) @ SY531 ) @ SV41 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY530 ) @ SY531 ) @ SV89 ) ) ) )
| ( SV89 = SV41 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1210]) ).
thf(1275,plain,
! [SV41: $i,SV89: $i] :
( ( ( SV89 != SV41 )
| ! [SY532: $i,SY533: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY532 ) @ SY533 ) @ SV89 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY532 ) @ SY533 ) @ SV41 ) ) )
| ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY532 ) @ SY533 ) @ SV41 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY532 ) @ SY533 ) @ SV89 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1211]) ).
thf(1276,plain,
! [SV42: $i,SV90: $i] :
( ( ( ! [SY699: $i,SY700: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV90 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK22_SY534 @ SV42 @ SV90 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY699 ) @ SY700 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV90 @ SV42 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1212]) ).
thf(1277,plain,
! [SV126: $i,SV91: $i,SV43: $i,SV171: $i,SV154: $i] :
( ( ! [SY701: $i,SY702: $i,SY703: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV154 ) @ SV171 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY701 ) @ SY702 ) ) @ ( red @ SY703 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV154 @ SV43 @ SV91 @ SV126 ) ) @ SV171 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SY701 @ SV43 @ SV91 @ SV126 ) ) @ SY702 ) ) @ ( red @ SY703 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1213]) ).
thf(1278,plain,
! [SV172: $i,SV155: $i,SV127: $i,SV92: $i,SV44: $i] :
( ( ~ ( ~ ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV44 @ SV92 @ ( hAPP_val_option_val @ some_val @ SV127 ) ) @ SV155 )
!= ( hAPP_val_option_val @ some_val @ SV172 ) )
| ~ ( ( SV155 != SV92 )
| ( SV127 != SV172 ) )
| ~ ( ~ ( ( SV155 != SV92 ) )
| ( ( hAPP_l207779698on_val @ SV44 @ SV155 )
!= ( hAPP_val_option_val @ some_val @ SV172 ) ) ) )
| ~ ( ~ ( ~ ( ( SV155 != SV92 )
| ( SV127 != SV172 ) )
| ~ ( ~ ( ( SV155 != SV92 ) )
| ( ( hAPP_l207779698on_val @ SV44 @ SV155 )
!= ( hAPP_val_option_val @ some_val @ SV172 ) ) ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV44 @ SV92 @ ( hAPP_val_option_val @ some_val @ SV127 ) ) @ SV155 )
= ( hAPP_val_option_val @ some_val @ SV172 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1214]) ).
thf(1279,plain,
! [SV128: $i,SV93: $i,SV45: $i] :
( ( ~ ( ( ( fun_up1149430426on_val @ SV45 @ SV93 @ SV128 )
!= SV45 )
| ( ( hAPP_l207779698on_val @ SV45 @ SV93 )
= SV128 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1215]) ).
thf(1280,plain,
! [SV128: $i,SV93: $i,SV45: $i] :
( ( ~ ( ( ( hAPP_l207779698on_val @ SV45 @ SV93 )
!= SV128 )
| ( ( fun_up1149430426on_val @ SV45 @ SV93 @ SV128 )
= SV45 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1215]) ).
thf(1281,plain,
! [SV46: $i] :
( ( SV46
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK8_SY407 @ SV46 ) ) @ ( sK17_SY630 @ SV46 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1216]) ).
thf(1282,plain,
! [SV47: $i] :
( ( SV47
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK9_SY409 @ SV47 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK18_SY631 @ SV47 ) ) @ ( sK23_SY675 @ SV47 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[1217]) ).
thf(1283,plain,
! [SV48: $i,SV94: $i] :
( ( ~ ! [SY547: $i,SY548: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY547 ) @ SY548 ) @ SV94 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY547 ) @ SY548 ) @ SV48 ) ) )
| ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY547 ) @ SY548 ) @ SV48 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY547 ) @ SY548 ) @ SV94 ) ) ) )
| ( SV94 = SV48 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1218]) ).
thf(1284,plain,
! [SV48: $i,SV94: $i] :
( ( ( SV94 != SV48 )
| ! [SY549: $i,SY550: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY549 ) @ SY550 ) @ SV94 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY549 ) @ SY550 ) @ SV48 ) ) )
| ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY549 ) @ SY550 ) @ SV48 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY549 ) @ SY550 ) @ SV94 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1219]) ).
thf(1285,plain,
! [SV95: $i,SV49: $i,SV156: $i,SV129: $i] :
( ( ~ ( ( SV129 != SV156 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV49 @ SV156 @ SV95 ) @ SV129 )
= SV95 ) )
| ~ ( ~ ( ( SV129 != SV156 ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV49 @ SV156 @ SV95 ) @ SV129 )
= ( hAPP_l207779698on_val @ SV49 @ SV129 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1220]) ).
thf(1286,plain,
! [SV50: $i,SV173: $i,SV157: $i,SV130: $i,SV96: $i] :
( ( ! [SY704: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV96 ) @ SV130 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV157 ) @ SV173 ) ) @ ( red @ SY704 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV96 @ SV50 ) ) @ SV130 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV157 @ SV50 ) ) @ SV173 ) ) @ ( red @ SY704 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1221]) ).
thf(1287,plain,
! [SV158: $i,SV131: $i,SV97: $i,SV51: $i] :
( ( ~ ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV51 ) @ SV97 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV131 ) @ SV158 ) )
| ~ ( ( SV51 != SV131 )
| ( SV97 != SV158 ) ) )
| ~ ( ~ ~ ( ( SV51 != SV131 )
| ( SV97 != SV158 ) )
| ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV51 ) @ SV97 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV131 ) @ SV158 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1222]) ).
thf(1288,plain,
! [SV174: $i,SV159: $i,SV132: $i,SV98: $i,SV52: $i] :
( ( ( ( fun_up204312361on_val @ SV52 @ SV98 @ ( hAPP_val_option_val @ some_val @ SV132 ) )
!= ( fun_up204312361on_val @ SV159 @ SV98 @ ( hAPP_val_option_val @ some_val @ SV174 ) ) )
| ( SV132 = SV174 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1223]) ).
thf(1289,plain,
! [SV99: $i,SV53: $i] :
( ( ( ( hAPP_val_option_val @ some_val @ SV53 )
!= ( hAPP_val_option_val @ some_val @ SV99 ) )
| ( SV53 = SV99 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1224]) ).
thf(1290,plain,
! [SV99: $i,SV53: $i] :
( ( ( SV53 != SV99 )
| ( ( hAPP_val_option_val @ some_val @ SV53 )
= ( hAPP_val_option_val @ some_val @ SV99 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1225]) ).
thf(1291,plain,
! [SV133: $i,SV100: $i,SV54: $i,SV175: $i,SV160: $i] :
( ( ~ ( ( SV160 != SV175 ) )
| ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV54 @ SV160 @ SV100 ) @ SV175 @ SV133 )
= ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV54 @ SV175 @ SV133 ) @ SV160 @ SV100 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1226]) ).
thf(1292,plain,
! [SV55: $i] :
( ( ( ~ ~ ! [SY437: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV55 @ SY437 ) ) )
= $true )
| ( ( ~ ! [SY438: $i] :
~ ~ ! [SY439: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV55 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY438 ) @ SY439 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1227]) ).
thf(1293,plain,
! [SV55: $i] :
( ( ( ~ ~ ! [SY440: $i] :
~ ~ ! [SY441: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV55 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY440 ) @ SY441 ) ) ) )
= $true )
| ( ( ~ ! [SY442: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV55 @ SY442 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1228]) ).
thf(1294,plain,
! [SV101: $i,SV56: $i,SV176: $i,SV161: $i,SV134: $i] :
( ( ! [SY705: $i,SY706: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV134 ) @ SV161 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV176 ) @ SY705 ) ) @ ( red @ SY706 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV134 @ SV56 @ SV101 ) ) @ SV161 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV176 @ SV56 @ SV101 ) ) @ SY705 ) ) @ ( red @ SY706 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1229]) ).
thf(1295,plain,
! [SV102: $i,SV57: $i,SV135: $i,SV162: $i] :
( ( ~ ( ( SV162 != SV135 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV57 @ SV135 @ SV102 ) @ SV162 )
= SV102 ) )
| ~ ( ~ ( ( SV162 != SV135 ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV57 @ SV135 @ SV102 ) @ SV162 )
= ( hAPP_l207779698on_val @ SV57 @ SV162 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1230]) ).
thf(1296,plain,
! [SV58: $i,SV136: $i,SV103: $i] :
( ( ( hBOOL @ ( hext @ SV103 @ SV136 ) )
= $false )
| ( ( ~ ( hBOOL @ ( hext @ SV136 @ SV58 ) )
| ( hBOOL @ ( hext @ SV103 @ SV58 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1231]) ).
thf(1297,plain,
! [SV59: $i,SV104: $i] :
( ( ( ! [SY707: $i,SY708: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV104 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK24_SY573 @ SV59 @ SV104 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY707 ) @ SY708 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV104 @ SV59 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1232]) ).
thf(1298,plain,
! [SV60: $i] :
( ( ( ~ ~ ! [SY458: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV60 @ SY458 ) ) )
= $true )
| ( ( ~ ! [SY459: $i] :
~ ~ ! [SY460: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV60 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY459 ) @ SY460 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1233]) ).
thf(1299,plain,
! [SV60: $i] :
( ( ( ~ ~ ! [SY461: $i] :
~ ~ ! [SY462: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV60 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY461 ) @ SY462 ) ) ) )
= $true )
| ( ( ~ ! [SY463: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV60 @ SY463 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1234]) ).
thf(1300,plain,
! [SV68: $i,SV9: $i,SV139: $i,SV109: $i] :
( ( ( SV109 != SV139 )
= $false )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV9 @ SV139 @ SV68 ) @ SV109 )
= ( hAPP_l207779698on_val @ SV9 @ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1235]) ).
thf(1301,plain,
! [SV163: $i,SV140: $i,SV110: $i,SV69: $i,SV10: $i] :
( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV10 ) @ SV69 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV110 ) @ SV140 ) ) @ ( red @ SV163 ) ) ) )
= $true )
| ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV10 ) ) @ SV69 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV110 ) ) @ SV140 ) ) @ ( red @ SV163 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1236]) ).
thf(1302,plain,
! [SV177: $i,SV164: $i,SV141: $i,SV111: $i,SV70: $i,SV11: $i] :
( ( ! [SY709: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV11 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV70 ) @ SV111 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV141 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV164 ) @ SV177 ) ) ) @ ( red @ SY709 ) ) )
| ( hBOOL @ ( hext @ SV70 @ SV164 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1237]) ).
thf(1303,plain,
! [SV12: $i,SV71: $i] :
( ( ( ~ ! [SY480: $i,SY481: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY480 ) @ SY481 ) @ SV71 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY480 ) @ SY481 ) @ SV12 ) ) )
| ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY480 ) @ SY481 ) @ SV12 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY480 ) @ SY481 ) @ SV71 ) ) ) ) )
= $true )
| ( ( SV71 = SV12 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1238]) ).
thf(1304,plain,
! [SV12: $i,SV71: $i] :
( ( ( SV71 != SV12 )
= $true )
| ( ( ! [SY482: $i,SY483: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY482 ) @ SY483 ) @ SV71 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY482 ) @ SY483 ) @ SV12 ) ) )
| ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY482 ) @ SY483 ) @ SV12 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY482 ) @ SY483 ) @ SV71 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1239]) ).
thf(1305,plain,
! [SV72: $i,SV13: $i,SV178: $i,SV165: $i,SV142: $i,SV112: $i] :
( ( ! [SY710: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV112 ) @ SV142 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV165 ) @ SV178 ) ) @ ( red @ SY710 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV112 @ SV13 @ SV72 ) ) @ SV142 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV165 @ SV13 @ SV72 ) ) @ SV178 ) ) @ ( red @ SY710 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1240]) ).
thf(1306,plain,
! [SV15: $i] :
( ( ( ! [SY289: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV15 @ SY289 ) ) )
= $false )
| ( ( ! [SY290: $i,SY291: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV15 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY290 ) @ SY291 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1242]) ).
thf(1307,plain,
! [SV15: $i] :
( ( ( ! [SY292: $i,SY293: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV15 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY292 ) @ SY293 ) ) ) )
= $false )
| ( ( ! [SY294: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV15 @ SY294 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1243]) ).
thf(1308,plain,
! [SV113: $i,SV73: $i,SV16: $i,SV179: $i,SV166: $i,SV143: $i] :
( ( ! [SY711: $i,SY712: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV143 ) @ SV166 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV179 ) @ SY711 ) ) @ ( red @ SY712 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV143 @ SV16 @ SV73 @ SV113 ) ) @ SV166 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV179 @ SV16 @ SV73 @ SV113 ) ) @ SY711 ) ) @ ( red @ SY712 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1244]) ).
thf(1309,plain,
! [SV144: $i,SV114: $i,SV74: $i,SV17: $i] :
( ( ~ ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV17 ) @ SV74 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV114 ) @ SV144 ) )
| ~ ( ( SV17 != SV114 )
| ( SV74 != SV144 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1245]) ).
thf(1310,plain,
! [SV144: $i,SV74: $i,SV114: $i,SV17: $i] :
( ( ~ ( ~ ~ ( ( SV17 != SV114 )
| ( SV74 != SV144 ) )
| ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV17 ) @ SV74 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV114 ) @ SV144 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1245]) ).
thf(1311,plain,
! [SV19: $i] :
( ( ( ~ ! [SY307: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV19 @ SY307 ) ) )
= $false )
| ( ( ~ ! [SY308: $i] :
~ ~ ! [SY309: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV19 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY308 ) @ SY309 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1247]) ).
thf(1312,plain,
! [SV19: $i] :
( ( ( ~ ! [SY310: $i] :
~ ~ ! [SY311: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV19 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY310 ) @ SY311 ) ) ) )
= $false )
| ( ( ~ ! [SY312: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV19 @ SY312 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1248]) ).
thf(1313,plain,
! [SV145: $i,SV116: $i,SV76: $i,SV20: $i] :
( ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV20 ) @ SV76 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV116 ) @ SV145 ) )
= $false )
| ( ( ~ ( ( SV20 != SV116 )
| ( SV76 != SV145 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1249]) ).
thf(1314,plain,
! [SV167: $i,SV146: $i,SV118: $i,SV78: $i,SV22: $i] :
( ( ( ( fun_up1149430426on_val @ SV22 @ SV78 @ ( hAPP_val_option_val @ some_val @ SV118 ) )
!= ( fun_up1149430426on_val @ SV146 @ SV78 @ ( hAPP_val_option_val @ some_val @ SV167 ) ) )
= $true )
| ( ( SV118 = SV167 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1251]) ).
thf(1315,plain,
! [SV147: $i,SV119: $i,SV79: $i,SV23: $i] :
( ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV23 ) @ SV79 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV119 ) @ SV147 ) )
= $false )
| ( ( ~ ( ( SV23 != SV119 )
| ( SV79 != SV147 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1252]) ).
thf(1316,plain,
! [SV24: $i,SV180: $i,SV168: $i,SV148: $i,SV120: $i,SV80: $i] :
( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV80 ) @ SV120 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV148 ) @ SV168 ) ) @ ( red @ SV180 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV24 @ SV80 ) ) @ SV120 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV24 @ SV148 ) ) @ SV168 ) ) @ ( red @ SV180 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1253]) ).
thf(1317,plain,
! [SV25: $i] :
( ( SV25
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK2_SY330 @ SV25 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK11_SY603 @ SV25 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK19_SY661 @ SV25 ) ) @ ( sK25_SY691 @ SV25 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[1254]) ).
thf(1318,plain,
! [SV81: $i,SV27: $i] :
( ( ( ( bool @ SV27 )
!= ( bool @ SV81 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ SV27 )
| ( hBOOL @ SV81 ) )
| ~ ( ~ ( hBOOL @ SV81 )
| ( hBOOL @ SV27 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1256]) ).
thf(1319,plain,
! [SV81: $i,SV27: $i] :
( ( ( ~ ~ ( ~ ( ~ ( hBOOL @ SV27 )
| ( hBOOL @ SV81 ) )
| ~ ( ~ ( hBOOL @ SV81 )
| ( hBOOL @ SV27 ) ) ) )
= $true )
| ( ( ( bool @ SV27 )
= ( bool @ SV81 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1257]) ).
thf(1320,plain,
! [SV28: $i] :
( ( ( ! [SY337: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV28 @ SY337 ) ) )
= $false )
| ( ( ! [SY338: $i,SY339: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV28 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY338 ) @ SY339 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1258]) ).
thf(1321,plain,
! [SV28: $i] :
( ( ( ! [SY340: $i,SY341: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV28 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY340 ) @ SY341 ) ) ) )
= $false )
| ( ( ! [SY342: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV28 @ SY342 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1259]) ).
thf(1322,plain,
! [SV29: $i,SV181: $i,SV169: $i,SV149: $i,SV121: $i,SV82: $i] :
( ( ! [SY713: $i,SY714: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV82 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV121 ) @ SV149 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV169 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV181 ) @ SY713 ) ) ) @ ( red @ SY714 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV82 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV121 ) @ ( map_ad325961431ar_val @ SV29 @ SV149 ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV169 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV181 ) @ ( map_ad325961431ar_val @ SV29 @ SY713 ) ) ) ) @ ( red @ SY714 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1260]) ).
thf(1323,plain,
! [SV30: $i] :
( ( SV30
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK4_SY350 @ SV30 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK13_SY612 @ SV30 ) ) @ ( sK20_SY667 @ SV30 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1261]) ).
thf(1324,plain,
! [SV31: $i,SV83: $i] :
( ( ( ! [SY715: $i,SY716: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV83 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK21_SY516 @ SV31 @ SV83 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK26_SY695 @ SV31 @ SV83 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY715 ) @ SY716 ) ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV83 @ SV31 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1262]) ).
thf(1325,plain,
! [SV150: $i,SV122: $i,SV84: $i,SV32: $i] :
( ( ~ ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV32 ) @ SV84 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV122 ) @ SV150 ) )
| ~ ( ( SV32 != SV122 )
| ( SV84 != SV150 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1263]) ).
thf(1326,plain,
! [SV150: $i,SV84: $i,SV122: $i,SV32: $i] :
( ( ~ ( ~ ~ ( ( SV32 != SV122 )
| ( SV84 != SV150 ) )
| ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV32 ) @ SV84 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV122 ) @ SV150 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1263]) ).
thf(1327,plain,
! [SV151: $i,SV123: $i,SV85: $i,SV34: $i] :
( ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV34 ) @ SV85 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV123 ) @ SV151 ) )
= $false )
| ( ( ~ ( ( SV34 != SV123 )
| ( SV85 != SV151 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1265]) ).
thf(1328,plain,
! [SV86: $i,SV35: $i] :
( ( ( ~ ( hBOOL @ ( member773094996on_val @ SV35 @ SV86 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV86 @ SV35 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1266]) ).
thf(1329,plain,
! [SV35: $i,SV86: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV86 @ SV35 ) ) )
= $true )
| ( ( hBOOL @ ( member773094996on_val @ SV35 @ SV86 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1267]) ).
thf(1330,plain,
! [SV37: $i] :
( ( ( ! [SY369: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV37 @ SY369 ) ) )
= $false )
| ( ( ! [SY370: $i,SY371: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV37 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY370 ) @ SY371 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1269]) ).
thf(1331,plain,
! [SV37: $i] :
( ( ( ! [SY372: $i,SY373: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV37 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY372 ) @ SY373 ) ) ) )
= $false )
| ( ( ! [SY374: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV37 @ SY374 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1270]) ).
thf(1332,plain,
! [SV38: $i,SV182: $i,SV170: $i,SV152: $i,SV124: $i,SV87: $i] :
( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV87 ) @ SV124 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV152 ) @ SV170 ) ) @ ( red @ SV182 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV38 @ SV87 ) ) @ SV124 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV38 @ SV152 ) ) @ SV170 ) ) @ ( red @ SV182 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1271]) ).
thf(1333,plain,
! [SV39: $i,SV153: $i,SV125: $i,SV88: $i] :
( ( ( hBOOL @ ( widen_2090681816t_char @ SV88 @ SV125 @ SV153 ) )
= $false )
| ( ( ~ ( hBOOL @ ( widen_2090681816t_char @ SV88 @ SV153 @ SV39 ) )
| ( hBOOL @ ( widen_2090681816t_char @ SV88 @ SV125 @ SV39 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1272]) ).
thf(1334,plain,
! [SV41: $i,SV89: $i] :
( ( ( ~ ! [SY530: $i,SY531: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY530 ) @ SY531 ) @ SV89 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY530 ) @ SY531 ) @ SV41 ) ) )
| ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY530 ) @ SY531 ) @ SV41 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY530 ) @ SY531 ) @ SV89 ) ) ) ) )
= $true )
| ( ( SV89 = SV41 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1274]) ).
thf(1335,plain,
! [SV41: $i,SV89: $i] :
( ( ( SV89 != SV41 )
= $true )
| ( ( ! [SY532: $i,SY533: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY532 ) @ SY533 ) @ SV89 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY532 ) @ SY533 ) @ SV41 ) ) )
| ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY532 ) @ SY533 ) @ SV41 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY532 ) @ SY533 ) @ SV89 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1275]) ).
thf(1336,plain,
! [SV42: $i,SV90: $i] :
( ( ( ! [SY717: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV90 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK22_SY534 @ SV42 @ SV90 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK27_SY699 @ SV42 @ SV90 ) ) @ SY717 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV90 @ SV42 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1276]) ).
thf(1337,plain,
! [SV126: $i,SV91: $i,SV43: $i,SV183: $i,SV171: $i,SV154: $i] :
( ( ! [SY718: $i,SY719: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV154 ) @ SV171 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV183 ) @ SY718 ) ) @ ( red @ SY719 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV154 @ SV43 @ SV91 @ SV126 ) ) @ SV171 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV183 @ SV43 @ SV91 @ SV126 ) ) @ SY718 ) ) @ ( red @ SY719 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1277]) ).
thf(1338,plain,
! [SV172: $i,SV155: $i,SV127: $i,SV92: $i,SV44: $i] :
( ( ~ ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV44 @ SV92 @ ( hAPP_val_option_val @ some_val @ SV127 ) ) @ SV155 )
!= ( hAPP_val_option_val @ some_val @ SV172 ) )
| ~ ( ( SV155 != SV92 )
| ( SV127 != SV172 ) )
| ~ ( ~ ( ( SV155 != SV92 ) )
| ( ( hAPP_l207779698on_val @ SV44 @ SV155 )
!= ( hAPP_val_option_val @ some_val @ SV172 ) ) ) )
| ~ ( ~ ( ~ ( ( SV155 != SV92 )
| ( SV127 != SV172 ) )
| ~ ( ~ ( ( SV155 != SV92 ) )
| ( ( hAPP_l207779698on_val @ SV44 @ SV155 )
!= ( hAPP_val_option_val @ some_val @ SV172 ) ) ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV44 @ SV92 @ ( hAPP_val_option_val @ some_val @ SV127 ) ) @ SV155 )
= ( hAPP_val_option_val @ some_val @ SV172 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1278]) ).
thf(1339,plain,
! [SV128: $i,SV93: $i,SV45: $i] :
( ( ( ( fun_up1149430426on_val @ SV45 @ SV93 @ SV128 )
!= SV45 )
| ( ( hAPP_l207779698on_val @ SV45 @ SV93 )
= SV128 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1279]) ).
thf(1340,plain,
! [SV128: $i,SV93: $i,SV45: $i] :
( ( ( ( hAPP_l207779698on_val @ SV45 @ SV93 )
!= SV128 )
| ( ( fun_up1149430426on_val @ SV45 @ SV93 @ SV128 )
= SV45 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1280]) ).
thf(1341,plain,
! [SV47: $i] :
( ( SV47
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK9_SY409 @ SV47 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK18_SY631 @ SV47 ) ) @ ( sK23_SY675 @ SV47 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1282]) ).
thf(1342,plain,
! [SV48: $i,SV94: $i] :
( ( ( ~ ! [SY547: $i,SY548: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY547 ) @ SY548 ) @ SV94 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY547 ) @ SY548 ) @ SV48 ) ) )
| ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY547 ) @ SY548 ) @ SV48 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY547 ) @ SY548 ) @ SV94 ) ) ) ) )
= $true )
| ( ( SV94 = SV48 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1283]) ).
thf(1343,plain,
! [SV48: $i,SV94: $i] :
( ( ( SV94 != SV48 )
= $true )
| ( ( ! [SY549: $i,SY550: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY549 ) @ SY550 ) @ SV94 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY549 ) @ SY550 ) @ SV48 ) ) )
| ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY549 ) @ SY550 ) @ SV48 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY549 ) @ SY550 ) @ SV94 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1284]) ).
thf(1344,plain,
! [SV95: $i,SV49: $i,SV156: $i,SV129: $i] :
( ( ~ ( ( SV129 != SV156 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV49 @ SV156 @ SV95 ) @ SV129 )
= SV95 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1285]) ).
thf(1345,plain,
! [SV95: $i,SV49: $i,SV156: $i,SV129: $i] :
( ( ~ ( ~ ( ( SV129 != SV156 ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV49 @ SV156 @ SV95 ) @ SV129 )
= ( hAPP_l207779698on_val @ SV49 @ SV129 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1285]) ).
thf(1346,plain,
! [SV50: $i,SV184: $i,SV173: $i,SV157: $i,SV130: $i,SV96: $i] :
( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV96 ) @ SV130 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV157 ) @ SV173 ) ) @ ( red @ SV184 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV96 @ SV50 ) ) @ SV130 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV157 @ SV50 ) ) @ SV173 ) ) @ ( red @ SV184 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1286]) ).
thf(1347,plain,
! [SV158: $i,SV131: $i,SV97: $i,SV51: $i] :
( ( ~ ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV51 ) @ SV97 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV131 ) @ SV158 ) )
| ~ ( ( SV51 != SV131 )
| ( SV97 != SV158 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1287]) ).
thf(1348,plain,
! [SV158: $i,SV97: $i,SV131: $i,SV51: $i] :
( ( ~ ( ~ ~ ( ( SV51 != SV131 )
| ( SV97 != SV158 ) )
| ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV51 ) @ SV97 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV131 ) @ SV158 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1287]) ).
thf(1349,plain,
! [SV174: $i,SV159: $i,SV132: $i,SV98: $i,SV52: $i] :
( ( ( ( fun_up204312361on_val @ SV52 @ SV98 @ ( hAPP_val_option_val @ some_val @ SV132 ) )
!= ( fun_up204312361on_val @ SV159 @ SV98 @ ( hAPP_val_option_val @ some_val @ SV174 ) ) )
= $true )
| ( ( SV132 = SV174 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1288]) ).
thf(1350,plain,
! [SV99: $i,SV53: $i] :
( ( ( ( hAPP_val_option_val @ some_val @ SV53 )
!= ( hAPP_val_option_val @ some_val @ SV99 ) )
= $true )
| ( ( SV53 = SV99 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1289]) ).
thf(1351,plain,
! [SV99: $i,SV53: $i] :
( ( ( SV53 != SV99 )
= $true )
| ( ( ( hAPP_val_option_val @ some_val @ SV53 )
= ( hAPP_val_option_val @ some_val @ SV99 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1290]) ).
thf(1352,plain,
! [SV133: $i,SV100: $i,SV54: $i,SV175: $i,SV160: $i] :
( ( ( ~ ( ( SV160 != SV175 ) ) )
= $true )
| ( ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV54 @ SV160 @ SV100 ) @ SV175 @ SV133 )
= ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV54 @ SV175 @ SV133 ) @ SV160 @ SV100 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1291]) ).
thf(1353,plain,
! [SV55: $i] :
( ( ( ~ ! [SY437: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV55 @ SY437 ) ) )
= $false )
| ( ( ~ ! [SY438: $i] :
~ ~ ! [SY439: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV55 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY438 ) @ SY439 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1292]) ).
thf(1354,plain,
! [SV55: $i] :
( ( ( ~ ! [SY440: $i] :
~ ~ ! [SY441: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV55 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY440 ) @ SY441 ) ) ) )
= $false )
| ( ( ~ ! [SY442: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV55 @ SY442 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1293]) ).
thf(1355,plain,
! [SV101: $i,SV56: $i,SV185: $i,SV176: $i,SV161: $i,SV134: $i] :
( ( ! [SY720: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV134 ) @ SV161 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV176 ) @ SV185 ) ) @ ( red @ SY720 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV134 @ SV56 @ SV101 ) ) @ SV161 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV176 @ SV56 @ SV101 ) ) @ SV185 ) ) @ ( red @ SY720 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1294]) ).
thf(1356,plain,
! [SV102: $i,SV57: $i,SV135: $i,SV162: $i] :
( ( ~ ( ( SV162 != SV135 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV57 @ SV135 @ SV102 ) @ SV162 )
= SV102 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1295]) ).
thf(1357,plain,
! [SV102: $i,SV57: $i,SV135: $i,SV162: $i] :
( ( ~ ( ~ ( ( SV162 != SV135 ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV57 @ SV135 @ SV102 ) @ SV162 )
= ( hAPP_l207779698on_val @ SV57 @ SV162 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1295]) ).
thf(1358,plain,
! [SV103: $i,SV58: $i,SV136: $i] :
( ( ( ~ ( hBOOL @ ( hext @ SV136 @ SV58 ) ) )
= $true )
| ( ( hBOOL @ ( hext @ SV103 @ SV58 ) )
= $true )
| ( ( hBOOL @ ( hext @ SV103 @ SV136 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1296]) ).
thf(1359,plain,
! [SV59: $i,SV104: $i] :
( ( ( ! [SY721: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV104 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK24_SY573 @ SV59 @ SV104 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK28_SY707 @ SV59 @ SV104 ) ) @ SY721 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV104 @ SV59 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1297]) ).
thf(1360,plain,
! [SV60: $i] :
( ( ( ~ ! [SY458: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV60 @ SY458 ) ) )
= $false )
| ( ( ~ ! [SY459: $i] :
~ ~ ! [SY460: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV60 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY459 ) @ SY460 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1298]) ).
thf(1361,plain,
! [SV60: $i] :
( ( ( ~ ! [SY461: $i] :
~ ~ ! [SY462: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV60 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY461 ) @ SY462 ) ) ) )
= $false )
| ( ( ~ ! [SY463: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV60 @ SY463 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1299]) ).
thf(1362,plain,
! [SV68: $i,SV9: $i,SV139: $i,SV109: $i] :
( ( ( SV109 = SV139 )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV9 @ SV139 @ SV68 ) @ SV109 )
= ( hAPP_l207779698on_val @ SV9 @ SV109 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1300]) ).
thf(1363,plain,
! [SV163: $i,SV140: $i,SV110: $i,SV69: $i,SV10: $i] :
( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV10 ) @ SV69 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV110 ) @ SV140 ) ) @ ( red @ SV163 ) ) )
= $false )
| ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV10 ) ) @ SV69 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( throw_list_char @ SV110 ) ) @ SV140 ) ) @ ( red @ SV163 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1301]) ).
thf(1364,plain,
! [SV186: $i,SV177: $i,SV164: $i,SV141: $i,SV111: $i,SV70: $i,SV11: $i] :
( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV11 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV70 ) @ SV111 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV141 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV164 ) @ SV177 ) ) ) @ ( red @ SV186 ) ) )
| ( hBOOL @ ( hext @ SV70 @ SV164 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1302]) ).
thf(1365,plain,
! [SV12: $i,SV71: $i] :
( ( ( ! [SY480: $i,SY481: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY480 ) @ SY481 ) @ SV71 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY480 ) @ SY481 ) @ SV12 ) ) )
| ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY480 ) @ SY481 ) @ SV12 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY480 ) @ SY481 ) @ SV71 ) ) ) ) )
= $false )
| ( ( SV71 = SV12 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1303]) ).
thf(1366,plain,
! [SV12: $i,SV71: $i] :
( ( ( SV71 = SV12 )
= $false )
| ( ( ! [SY482: $i,SY483: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY482 ) @ SY483 ) @ SV71 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY482 ) @ SY483 ) @ SV12 ) ) )
| ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY482 ) @ SY483 ) @ SV12 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY482 ) @ SY483 ) @ SV71 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1304]) ).
thf(1367,plain,
! [SV72: $i,SV13: $i,SV187: $i,SV178: $i,SV165: $i,SV142: $i,SV112: $i] :
( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV112 ) @ SV142 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV165 ) @ SV178 ) ) @ ( red @ SV187 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV112 @ SV13 @ SV72 ) ) @ SV142 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV165 @ SV13 @ SV72 ) ) @ SV178 ) ) @ ( red @ SV187 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1305]) ).
thf(1368,plain,
! [SV15: $i] :
( ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV15 @ ( sK29_SY289 @ SV15 ) ) )
= $false )
| ( ( ! [SY290: $i,SY291: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV15 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY290 ) @ SY291 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1306]) ).
thf(1369,plain,
! [SV15: $i] :
( ( ( ! [SY722: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV15 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK30_SY292 @ SV15 ) ) @ SY722 ) ) ) )
= $false )
| ( ( ! [SY294: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV15 @ SY294 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1307]) ).
thf(1370,plain,
! [SV113: $i,SV73: $i,SV16: $i,SV188: $i,SV179: $i,SV166: $i,SV143: $i] :
( ( ! [SY723: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV143 ) @ SV166 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV179 ) @ SV188 ) ) @ ( red @ SY723 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV143 @ SV16 @ SV73 @ SV113 ) ) @ SV166 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV179 @ SV16 @ SV73 @ SV113 ) ) @ SV188 ) ) @ ( red @ SY723 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1308]) ).
thf(1371,plain,
! [SV144: $i,SV114: $i,SV74: $i,SV17: $i] :
( ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV17 ) @ SV74 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV114 ) @ SV144 ) )
| ~ ( ( SV17 != SV114 )
| ( SV74 != SV144 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1309]) ).
thf(1372,plain,
! [SV144: $i,SV74: $i,SV114: $i,SV17: $i] :
( ( ~ ~ ( ( SV17 != SV114 )
| ( SV74 != SV144 ) )
| ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV17 ) @ SV74 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV114 ) @ SV144 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1310]) ).
thf(1373,plain,
! [SV19: $i] :
( ( ( ! [SY307: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV19 @ SY307 ) ) )
= $true )
| ( ( ~ ! [SY308: $i] :
~ ~ ! [SY309: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV19 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY308 ) @ SY309 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1311]) ).
thf(1374,plain,
! [SV19: $i] :
( ( ( ! [SY310: $i] :
~ ~ ! [SY311: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV19 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY310 ) @ SY311 ) ) ) )
= $true )
| ( ( ~ ! [SY312: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV19 @ SY312 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1312]) ).
thf(1375,plain,
! [SV145: $i,SV76: $i,SV116: $i,SV20: $i] :
( ( ( ( SV20 != SV116 )
| ( SV76 != SV145 ) )
= $false )
| ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV20 ) @ SV76 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV116 ) @ SV145 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1313]) ).
thf(1376,plain,
! [SV167: $i,SV146: $i,SV118: $i,SV78: $i,SV22: $i] :
( ( ( ( fun_up1149430426on_val @ SV22 @ SV78 @ ( hAPP_val_option_val @ some_val @ SV118 ) )
= ( fun_up1149430426on_val @ SV146 @ SV78 @ ( hAPP_val_option_val @ some_val @ SV167 ) ) )
= $false )
| ( ( SV118 = SV167 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1314]) ).
thf(1377,plain,
! [SV147: $i,SV79: $i,SV119: $i,SV23: $i] :
( ( ( ( SV23 != SV119 )
| ( SV79 != SV147 ) )
= $false )
| ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV23 ) @ SV79 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV119 ) @ SV147 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1315]) ).
thf(1378,plain,
! [SV24: $i,SV180: $i,SV168: $i,SV148: $i,SV120: $i,SV80: $i] :
( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV80 ) @ SV120 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV148 ) @ SV168 ) ) @ ( red @ SV180 ) ) ) )
= $true )
| ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV24 @ SV80 ) ) @ SV120 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV24 @ SV148 ) ) @ SV168 ) ) @ ( red @ SV180 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1316]) ).
thf(1379,plain,
! [SV25: $i] :
( ( SV25
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK2_SY330 @ SV25 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK11_SY603 @ SV25 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK19_SY661 @ SV25 ) ) @ ( sK25_SY691 @ SV25 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1317]) ).
thf(1380,plain,
! [SV81: $i,SV27: $i] :
( ( ( ( bool @ SV27 )
= ( bool @ SV81 ) )
= $false )
| ( ( ~ ( ~ ( ~ ( hBOOL @ SV27 )
| ( hBOOL @ SV81 ) )
| ~ ( ~ ( hBOOL @ SV81 )
| ( hBOOL @ SV27 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1318]) ).
thf(1381,plain,
! [SV81: $i,SV27: $i] :
( ( ( ~ ( ~ ( ~ ( hBOOL @ SV27 )
| ( hBOOL @ SV81 ) )
| ~ ( ~ ( hBOOL @ SV81 )
| ( hBOOL @ SV27 ) ) ) )
= $false )
| ( ( ( bool @ SV27 )
= ( bool @ SV81 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1319]) ).
thf(1382,plain,
! [SV28: $i] :
( ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV28 @ ( sK31_SY337 @ SV28 ) ) )
= $false )
| ( ( ! [SY338: $i,SY339: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV28 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY338 ) @ SY339 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1320]) ).
thf(1383,plain,
! [SV28: $i] :
( ( ( ! [SY724: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV28 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK32_SY340 @ SV28 ) ) @ SY724 ) ) ) )
= $false )
| ( ( ! [SY342: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV28 @ SY342 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1321]) ).
thf(1384,plain,
! [SV29: $i,SV189: $i,SV181: $i,SV169: $i,SV149: $i,SV121: $i,SV82: $i] :
( ( ! [SY725: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV82 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV121 ) @ SV149 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV169 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV181 ) @ SV189 ) ) ) @ ( red @ SY725 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV82 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV121 ) @ ( map_ad325961431ar_val @ SV29 @ SV149 ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV169 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV181 ) @ ( map_ad325961431ar_val @ SV29 @ SV189 ) ) ) ) @ ( red @ SY725 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1322]) ).
thf(1385,plain,
! [SV31: $i,SV83: $i] :
( ( ( ! [SY726: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV83 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK21_SY516 @ SV31 @ SV83 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK26_SY695 @ SV31 @ SV83 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK33_SY715 @ SV31 @ SV83 ) ) @ SY726 ) ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV83 @ SV31 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1324]) ).
thf(1386,plain,
! [SV150: $i,SV122: $i,SV84: $i,SV32: $i] :
( ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV32 ) @ SV84 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV122 ) @ SV150 ) )
| ~ ( ( SV32 != SV122 )
| ( SV84 != SV150 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1325]) ).
thf(1387,plain,
! [SV150: $i,SV84: $i,SV122: $i,SV32: $i] :
( ( ~ ~ ( ( SV32 != SV122 )
| ( SV84 != SV150 ) )
| ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV32 ) @ SV84 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV122 ) @ SV150 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1326]) ).
thf(1388,plain,
! [SV151: $i,SV85: $i,SV123: $i,SV34: $i] :
( ( ( ( SV34 != SV123 )
| ( SV85 != SV151 ) )
= $false )
| ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV34 ) @ SV85 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV123 ) @ SV151 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1327]) ).
thf(1389,plain,
! [SV86: $i,SV35: $i] :
( ( ( hBOOL @ ( member773094996on_val @ SV35 @ SV86 ) )
= $false )
| ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV86 @ SV35 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1328]) ).
thf(1390,plain,
! [SV35: $i,SV86: $i] :
( ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV86 @ SV35 ) )
= $false )
| ( ( hBOOL @ ( member773094996on_val @ SV35 @ SV86 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1329]) ).
thf(1391,plain,
! [SV37: $i] :
( ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV37 @ ( sK34_SY369 @ SV37 ) ) )
= $false )
| ( ( ! [SY370: $i,SY371: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV37 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY370 ) @ SY371 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1330]) ).
thf(1392,plain,
! [SV37: $i] :
( ( ( ! [SY727: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV37 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK35_SY372 @ SV37 ) ) @ SY727 ) ) ) )
= $false )
| ( ( ! [SY374: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV37 @ SY374 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1331]) ).
thf(1393,plain,
! [SV38: $i,SV182: $i,SV170: $i,SV152: $i,SV124: $i,SV87: $i] :
( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV87 ) @ SV124 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV152 ) @ SV170 ) ) @ ( red @ SV182 ) ) ) )
= $true )
| ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV38 @ SV87 ) ) @ SV124 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV38 @ SV152 ) ) @ SV170 ) ) @ ( red @ SV182 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1332]) ).
thf(1394,plain,
! [SV125: $i,SV39: $i,SV153: $i,SV88: $i] :
( ( ( ~ ( hBOOL @ ( widen_2090681816t_char @ SV88 @ SV153 @ SV39 ) ) )
= $true )
| ( ( hBOOL @ ( widen_2090681816t_char @ SV88 @ SV125 @ SV39 ) )
= $true )
| ( ( hBOOL @ ( widen_2090681816t_char @ SV88 @ SV125 @ SV153 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1333]) ).
thf(1395,plain,
! [SV41: $i,SV89: $i] :
( ( ( ! [SY530: $i,SY531: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY530 ) @ SY531 ) @ SV89 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY530 ) @ SY531 ) @ SV41 ) ) )
| ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY530 ) @ SY531 ) @ SV41 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY530 ) @ SY531 ) @ SV89 ) ) ) ) )
= $false )
| ( ( SV89 = SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1334]) ).
thf(1396,plain,
! [SV41: $i,SV89: $i] :
( ( ( SV89 = SV41 )
= $false )
| ( ( ! [SY532: $i,SY533: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY532 ) @ SY533 ) @ SV89 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY532 ) @ SY533 ) @ SV41 ) ) )
| ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY532 ) @ SY533 ) @ SV41 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY532 ) @ SY533 ) @ SV89 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1335]) ).
thf(1397,plain,
! [SV42: $i,SV90: $i] :
( ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV90 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK22_SY534 @ SV42 @ SV90 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK27_SY699 @ SV42 @ SV90 ) ) @ ( sK36_SY717 @ SV42 @ SV90 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV90 @ SV42 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1336]) ).
thf(1398,plain,
! [SV126: $i,SV91: $i,SV43: $i,SV190: $i,SV183: $i,SV171: $i,SV154: $i] :
( ( ! [SY728: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV154 ) @ SV171 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV183 ) @ SV190 ) ) @ ( red @ SY728 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV154 @ SV43 @ SV91 @ SV126 ) ) @ SV171 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV183 @ SV43 @ SV91 @ SV126 ) ) @ SV190 ) ) @ ( red @ SY728 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1337]) ).
thf(1399,plain,
! [SV172: $i,SV155: $i,SV127: $i,SV92: $i,SV44: $i] :
( ( ~ ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV44 @ SV92 @ ( hAPP_val_option_val @ some_val @ SV127 ) ) @ SV155 )
!= ( hAPP_val_option_val @ some_val @ SV172 ) )
| ~ ( ( SV155 != SV92 )
| ( SV127 != SV172 ) )
| ~ ( ~ ( ( SV155 != SV92 ) )
| ( ( hAPP_l207779698on_val @ SV44 @ SV155 )
!= ( hAPP_val_option_val @ some_val @ SV172 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1338]) ).
thf(1400,plain,
! [SV44: $i,SV172: $i,SV127: $i,SV92: $i,SV155: $i] :
( ( ~ ( ~ ( ~ ( ( SV155 != SV92 )
| ( SV127 != SV172 ) )
| ~ ( ~ ( ( SV155 != SV92 ) )
| ( ( hAPP_l207779698on_val @ SV44 @ SV155 )
!= ( hAPP_val_option_val @ some_val @ SV172 ) ) ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV44 @ SV92 @ ( hAPP_val_option_val @ some_val @ SV127 ) ) @ SV155 )
= ( hAPP_val_option_val @ some_val @ SV172 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1338]) ).
thf(1401,plain,
! [SV128: $i,SV93: $i,SV45: $i] :
( ( ( ( fun_up1149430426on_val @ SV45 @ SV93 @ SV128 )
!= SV45 )
= $true )
| ( ( ( hAPP_l207779698on_val @ SV45 @ SV93 )
= SV128 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1339]) ).
thf(1402,plain,
! [SV128: $i,SV93: $i,SV45: $i] :
( ( ( ( hAPP_l207779698on_val @ SV45 @ SV93 )
!= SV128 )
= $true )
| ( ( ( fun_up1149430426on_val @ SV45 @ SV93 @ SV128 )
= SV45 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1340]) ).
thf(1403,plain,
! [SV48: $i,SV94: $i] :
( ( ( ! [SY547: $i,SY548: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY547 ) @ SY548 ) @ SV94 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY547 ) @ SY548 ) @ SV48 ) ) )
| ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY547 ) @ SY548 ) @ SV48 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY547 ) @ SY548 ) @ SV94 ) ) ) ) )
= $false )
| ( ( SV94 = SV48 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1342]) ).
thf(1404,plain,
! [SV48: $i,SV94: $i] :
( ( ( SV94 = SV48 )
= $false )
| ( ( ! [SY549: $i,SY550: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY549 ) @ SY550 ) @ SV94 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY549 ) @ SY550 ) @ SV48 ) ) )
| ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY549 ) @ SY550 ) @ SV48 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY549 ) @ SY550 ) @ SV94 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1343]) ).
thf(1405,plain,
! [SV95: $i,SV49: $i,SV156: $i,SV129: $i] :
( ( ( SV129 != SV156 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV49 @ SV156 @ SV95 ) @ SV129 )
= SV95 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1344]) ).
thf(1406,plain,
! [SV95: $i,SV49: $i,SV156: $i,SV129: $i] :
( ( ~ ( ( SV129 != SV156 ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV49 @ SV156 @ SV95 ) @ SV129 )
= ( hAPP_l207779698on_val @ SV49 @ SV129 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1345]) ).
thf(1407,plain,
! [SV50: $i,SV184: $i,SV173: $i,SV157: $i,SV130: $i,SV96: $i] :
( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV96 ) @ SV130 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV157 ) @ SV173 ) ) @ ( red @ SV184 ) ) ) )
= $true )
| ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV96 @ SV50 ) ) @ SV130 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV157 @ SV50 ) ) @ SV173 ) ) @ ( red @ SV184 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1346]) ).
thf(1408,plain,
! [SV158: $i,SV131: $i,SV97: $i,SV51: $i] :
( ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV51 ) @ SV97 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV131 ) @ SV158 ) )
| ~ ( ( SV51 != SV131 )
| ( SV97 != SV158 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1347]) ).
thf(1409,plain,
! [SV158: $i,SV97: $i,SV131: $i,SV51: $i] :
( ( ~ ~ ( ( SV51 != SV131 )
| ( SV97 != SV158 ) )
| ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV51 ) @ SV97 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV131 ) @ SV158 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1348]) ).
thf(1410,plain,
! [SV174: $i,SV159: $i,SV132: $i,SV98: $i,SV52: $i] :
( ( ( ( fun_up204312361on_val @ SV52 @ SV98 @ ( hAPP_val_option_val @ some_val @ SV132 ) )
= ( fun_up204312361on_val @ SV159 @ SV98 @ ( hAPP_val_option_val @ some_val @ SV174 ) ) )
= $false )
| ( ( SV132 = SV174 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1349]) ).
thf(1411,plain,
! [SV99: $i,SV53: $i] :
( ( ( ( hAPP_val_option_val @ some_val @ SV53 )
= ( hAPP_val_option_val @ some_val @ SV99 ) )
= $false )
| ( ( SV53 = SV99 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1350]) ).
thf(1412,plain,
! [SV99: $i,SV53: $i] :
( ( ( SV53 = SV99 )
= $false )
| ( ( ( hAPP_val_option_val @ some_val @ SV53 )
= ( hAPP_val_option_val @ some_val @ SV99 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1351]) ).
thf(1413,plain,
! [SV133: $i,SV100: $i,SV54: $i,SV175: $i,SV160: $i] :
( ( ( SV160 != SV175 )
= $false )
| ( ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV54 @ SV160 @ SV100 ) @ SV175 @ SV133 )
= ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV54 @ SV175 @ SV133 ) @ SV160 @ SV100 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1352]) ).
thf(1414,plain,
! [SV55: $i] :
( ( ( ! [SY437: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV55 @ SY437 ) ) )
= $true )
| ( ( ~ ! [SY438: $i] :
~ ~ ! [SY439: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV55 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY438 ) @ SY439 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1353]) ).
thf(1415,plain,
! [SV55: $i] :
( ( ( ! [SY440: $i] :
~ ~ ! [SY441: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV55 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY440 ) @ SY441 ) ) ) )
= $true )
| ( ( ~ ! [SY442: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV55 @ SY442 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1354]) ).
thf(1416,plain,
! [SV101: $i,SV56: $i,SV191: $i,SV185: $i,SV176: $i,SV161: $i,SV134: $i] :
( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV134 ) @ SV161 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV176 ) @ SV185 ) ) @ ( red @ SV191 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV134 @ SV56 @ SV101 ) ) @ SV161 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV176 @ SV56 @ SV101 ) ) @ SV185 ) ) @ ( red @ SV191 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1355]) ).
thf(1417,plain,
! [SV102: $i,SV57: $i,SV135: $i,SV162: $i] :
( ( ( SV162 != SV135 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV57 @ SV135 @ SV102 ) @ SV162 )
= SV102 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1356]) ).
thf(1418,plain,
! [SV102: $i,SV57: $i,SV135: $i,SV162: $i] :
( ( ~ ( ( SV162 != SV135 ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV57 @ SV135 @ SV102 ) @ SV162 )
= ( hAPP_l207779698on_val @ SV57 @ SV162 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1357]) ).
thf(1419,plain,
! [SV103: $i,SV58: $i,SV136: $i] :
( ( ( hBOOL @ ( hext @ SV136 @ SV58 ) )
= $false )
| ( ( hBOOL @ ( hext @ SV103 @ SV58 ) )
= $true )
| ( ( hBOOL @ ( hext @ SV103 @ SV136 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1358]) ).
thf(1420,plain,
! [SV59: $i,SV104: $i] :
( ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV104 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK24_SY573 @ SV59 @ SV104 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK28_SY707 @ SV59 @ SV104 ) ) @ ( sK37_SY721 @ SV59 @ SV104 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV104 @ SV59 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1359]) ).
thf(1421,plain,
! [SV60: $i] :
( ( ( ! [SY458: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV60 @ SY458 ) ) )
= $true )
| ( ( ~ ! [SY459: $i] :
~ ~ ! [SY460: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV60 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY459 ) @ SY460 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1360]) ).
thf(1422,plain,
! [SV60: $i] :
( ( ( ! [SY461: $i] :
~ ~ ! [SY462: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV60 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY461 ) @ SY462 ) ) ) )
= $true )
| ( ( ~ ! [SY463: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV60 @ SY463 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1361]) ).
thf(1423,plain,
! [SV186: $i,SV177: $i,SV164: $i,SV141: $i,SV111: $i,SV70: $i,SV11: $i] :
( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV11 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV70 ) @ SV111 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV141 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV164 ) @ SV177 ) ) ) @ ( red @ SV186 ) ) ) )
= $true )
| ( ( hBOOL @ ( hext @ SV70 @ SV164 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1364]) ).
thf(1424,plain,
! [SV71: $i,SV12: $i] :
( ( ( ! [SY729: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK38_SY480 @ SV12 @ SV71 ) ) @ SY729 ) @ SV71 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK38_SY480 @ SV12 @ SV71 ) ) @ SY729 ) @ SV12 ) ) )
| ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK38_SY480 @ SV12 @ SV71 ) ) @ SY729 ) @ SV12 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK38_SY480 @ SV12 @ SV71 ) ) @ SY729 ) @ SV71 ) ) ) ) )
= $false )
| ( ( SV71 = SV12 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1365]) ).
thf(1425,plain,
! [SV12: $i,SV71: $i,SV192: $i] :
( ( ( ! [SY730: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV192 ) @ SY730 ) @ SV71 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV192 ) @ SY730 ) @ SV12 ) ) )
| ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV192 ) @ SY730 ) @ SV12 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV192 ) @ SY730 ) @ SV71 ) ) ) ) )
= $true )
| ( ( SV71 = SV12 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1366]) ).
thf(1426,plain,
! [SV72: $i,SV13: $i,SV187: $i,SV178: $i,SV165: $i,SV142: $i,SV112: $i] :
( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV112 ) @ SV142 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV165 ) @ SV178 ) ) @ ( red @ SV187 ) ) ) )
= $true )
| ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV112 @ SV13 @ SV72 ) ) @ SV142 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV165 @ SV13 @ SV72 ) ) @ SV178 ) ) @ ( red @ SV187 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1367]) ).
thf(1427,plain,
! [SV193: $i,SV15: $i] :
( ( ( ! [SY731: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV15 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV193 ) @ SY731 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV15 @ ( sK29_SY289 @ SV15 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1368]) ).
thf(1428,plain,
! [SV15: $i] :
( ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV15 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK30_SY292 @ SV15 ) ) @ ( sK39_SY722 @ SV15 ) ) ) )
= $false )
| ( ( ! [SY294: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV15 @ SY294 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1369]) ).
thf(1429,plain,
! [SV113: $i,SV73: $i,SV16: $i,SV194: $i,SV188: $i,SV179: $i,SV166: $i,SV143: $i] :
( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV143 ) @ SV166 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV179 ) @ SV188 ) ) @ ( red @ SV194 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV143 @ SV16 @ SV73 @ SV113 ) ) @ SV166 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV179 @ SV16 @ SV73 @ SV113 ) ) @ SV188 ) ) @ ( red @ SV194 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1370]) ).
thf(1430,plain,
! [SV144: $i,SV114: $i,SV74: $i,SV17: $i] :
( ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV17 ) @ SV74 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV114 ) @ SV144 ) )
= $true )
| ( ( ~ ( ( SV17 != SV114 )
| ( SV74 != SV144 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1371]) ).
thf(1431,plain,
! [SV144: $i,SV74: $i,SV114: $i,SV17: $i] :
( ( ( ~ ~ ( ( SV17 != SV114 )
| ( SV74 != SV144 ) ) )
= $true )
| ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV17 ) @ SV74 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV114 ) @ SV144 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1372]) ).
thf(1432,plain,
! [SV195: $i,SV19: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV19 @ SV195 ) ) )
= $true )
| ( ( ~ ! [SY308: $i] :
~ ~ ! [SY309: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV19 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY308 ) @ SY309 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1373]) ).
thf(1433,plain,
! [SV196: $i,SV19: $i] :
( ( ( ~ ~ ! [SY732: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV19 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV196 ) @ SY732 ) ) ) )
= $true )
| ( ( ~ ! [SY312: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV19 @ SY312 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1374]) ).
thf(1434,plain,
! [SV145: $i,SV76: $i,SV116: $i,SV20: $i] :
( ( ( SV20 != SV116 )
= $false )
| ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV20 ) @ SV76 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV116 ) @ SV145 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1375]) ).
thf(1435,plain,
! [SV116: $i,SV20: $i,SV145: $i,SV76: $i] :
( ( ( SV76 != SV145 )
= $false )
| ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV20 ) @ SV76 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV116 ) @ SV145 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1375]) ).
thf(1436,plain,
! [SV147: $i,SV79: $i,SV119: $i,SV23: $i] :
( ( ( SV23 != SV119 )
= $false )
| ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV23 ) @ SV79 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV119 ) @ SV147 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1377]) ).
thf(1437,plain,
! [SV119: $i,SV23: $i,SV147: $i,SV79: $i] :
( ( ( SV79 != SV147 )
= $false )
| ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV23 ) @ SV79 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV119 ) @ SV147 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1377]) ).
thf(1438,plain,
! [SV24: $i,SV180: $i,SV168: $i,SV148: $i,SV120: $i,SV80: $i] :
( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV80 ) @ SV120 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV148 ) @ SV168 ) ) @ ( red @ SV180 ) ) )
= $false )
| ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV24 @ SV80 ) ) @ SV120 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( cast_list_char @ SV24 @ SV148 ) ) @ SV168 ) ) @ ( red @ SV180 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1378]) ).
thf(1439,plain,
! [SV81: $i,SV27: $i] :
( ( ( ~ ( ~ ( hBOOL @ SV27 )
| ( hBOOL @ SV81 ) )
| ~ ( ~ ( hBOOL @ SV81 )
| ( hBOOL @ SV27 ) ) )
= $false )
| ( ( ( bool @ SV27 )
= ( bool @ SV81 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1380]) ).
thf(1440,plain,
! [SV81: $i,SV27: $i] :
( ( ( ~ ( ~ ( hBOOL @ SV27 )
| ( hBOOL @ SV81 ) )
| ~ ( ~ ( hBOOL @ SV81 )
| ( hBOOL @ SV27 ) ) )
= $true )
| ( ( ( bool @ SV27 )
= ( bool @ SV81 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1381]) ).
thf(1441,plain,
! [SV197: $i,SV28: $i] :
( ( ( ! [SY733: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV28 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV197 ) @ SY733 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV28 @ ( sK31_SY337 @ SV28 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1382]) ).
thf(1442,plain,
! [SV28: $i] :
( ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV28 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK32_SY340 @ SV28 ) ) @ ( sK40_SY724 @ SV28 ) ) ) )
= $false )
| ( ( ! [SY342: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV28 @ SY342 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1383]) ).
thf(1443,plain,
! [SV29: $i,SV198: $i,SV189: $i,SV181: $i,SV169: $i,SV149: $i,SV121: $i,SV82: $i] :
( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV82 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV121 ) @ SV149 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV169 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV181 ) @ SV189 ) ) ) @ ( red @ SV198 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV82 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV121 ) @ ( map_ad325961431ar_val @ SV29 @ SV149 ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV169 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV181 ) @ ( map_ad325961431ar_val @ SV29 @ SV189 ) ) ) ) @ ( red @ SV198 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1384]) ).
thf(1444,plain,
! [SV31: $i,SV83: $i] :
( ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV83 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK21_SY516 @ SV31 @ SV83 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK26_SY695 @ SV31 @ SV83 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK33_SY715 @ SV31 @ SV83 ) ) @ ( sK41_SY726 @ SV31 @ SV83 ) ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV83 @ SV31 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1385]) ).
thf(1445,plain,
! [SV150: $i,SV122: $i,SV84: $i,SV32: $i] :
( ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV32 ) @ SV84 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV122 ) @ SV150 ) )
= $true )
| ( ( ~ ( ( SV32 != SV122 )
| ( SV84 != SV150 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1386]) ).
thf(1446,plain,
! [SV150: $i,SV84: $i,SV122: $i,SV32: $i] :
( ( ( ~ ~ ( ( SV32 != SV122 )
| ( SV84 != SV150 ) ) )
= $true )
| ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV32 ) @ SV84 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV122 ) @ SV150 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1387]) ).
thf(1447,plain,
! [SV151: $i,SV85: $i,SV123: $i,SV34: $i] :
( ( ( SV34 != SV123 )
= $false )
| ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV34 ) @ SV85 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV123 ) @ SV151 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1388]) ).
thf(1448,plain,
! [SV123: $i,SV34: $i,SV151: $i,SV85: $i] :
( ( ( SV85 != SV151 )
= $false )
| ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV34 ) @ SV85 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV123 ) @ SV151 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1388]) ).
thf(1449,plain,
! [SV199: $i,SV37: $i] :
( ( ( ! [SY734: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV37 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV199 ) @ SY734 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV37 @ ( sK34_SY369 @ SV37 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1391]) ).
thf(1450,plain,
! [SV37: $i] :
( ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV37 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK35_SY372 @ SV37 ) ) @ ( sK42_SY727 @ SV37 ) ) ) )
= $false )
| ( ( ! [SY374: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV37 @ SY374 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1392]) ).
thf(1451,plain,
! [SV38: $i,SV182: $i,SV170: $i,SV152: $i,SV124: $i,SV87: $i] :
( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV87 ) @ SV124 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV152 ) @ SV170 ) ) @ ( red @ SV182 ) ) )
= $false )
| ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV38 @ SV87 ) ) @ SV124 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV38 @ SV152 ) ) @ SV170 ) ) @ ( red @ SV182 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1393]) ).
thf(1452,plain,
! [SV125: $i,SV39: $i,SV153: $i,SV88: $i] :
( ( ( hBOOL @ ( widen_2090681816t_char @ SV88 @ SV153 @ SV39 ) )
= $false )
| ( ( hBOOL @ ( widen_2090681816t_char @ SV88 @ SV125 @ SV39 ) )
= $true )
| ( ( hBOOL @ ( widen_2090681816t_char @ SV88 @ SV125 @ SV153 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1394]) ).
thf(1453,plain,
! [SV89: $i,SV41: $i] :
( ( ( ! [SY735: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK43_SY530 @ SV41 @ SV89 ) ) @ SY735 ) @ SV89 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK43_SY530 @ SV41 @ SV89 ) ) @ SY735 ) @ SV41 ) ) )
| ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK43_SY530 @ SV41 @ SV89 ) ) @ SY735 ) @ SV41 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK43_SY530 @ SV41 @ SV89 ) ) @ SY735 ) @ SV89 ) ) ) ) )
= $false )
| ( ( SV89 = SV41 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1395]) ).
thf(1454,plain,
! [SV41: $i,SV89: $i,SV200: $i] :
( ( ( ! [SY736: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV200 ) @ SY736 ) @ SV89 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV200 ) @ SY736 ) @ SV41 ) ) )
| ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV200 ) @ SY736 ) @ SV41 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV200 ) @ SY736 ) @ SV89 ) ) ) ) )
= $true )
| ( ( SV89 = SV41 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1396]) ).
thf(1455,plain,
! [SV126: $i,SV91: $i,SV43: $i,SV201: $i,SV190: $i,SV183: $i,SV171: $i,SV154: $i] :
( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV154 ) @ SV171 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV183 ) @ SV190 ) ) @ ( red @ SV201 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV154 @ SV43 @ SV91 @ SV126 ) ) @ SV171 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV183 @ SV43 @ SV91 @ SV126 ) ) @ SV190 ) ) @ ( red @ SV201 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1398]) ).
thf(1456,plain,
! [SV172: $i,SV155: $i,SV127: $i,SV92: $i,SV44: $i] :
( ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV44 @ SV92 @ ( hAPP_val_option_val @ some_val @ SV127 ) ) @ SV155 )
!= ( hAPP_val_option_val @ some_val @ SV172 ) )
| ~ ( ( SV155 != SV92 )
| ( SV127 != SV172 ) )
| ~ ( ~ ( ( SV155 != SV92 ) )
| ( ( hAPP_l207779698on_val @ SV44 @ SV155 )
!= ( hAPP_val_option_val @ some_val @ SV172 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1399]) ).
thf(1457,plain,
! [SV44: $i,SV172: $i,SV127: $i,SV92: $i,SV155: $i] :
( ( ~ ( ~ ( ( SV155 != SV92 )
| ( SV127 != SV172 ) )
| ~ ( ~ ( ( SV155 != SV92 ) )
| ( ( hAPP_l207779698on_val @ SV44 @ SV155 )
!= ( hAPP_val_option_val @ some_val @ SV172 ) ) ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV44 @ SV92 @ ( hAPP_val_option_val @ some_val @ SV127 ) ) @ SV155 )
= ( hAPP_val_option_val @ some_val @ SV172 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1400]) ).
thf(1458,plain,
! [SV128: $i,SV93: $i,SV45: $i] :
( ( ( ( fun_up1149430426on_val @ SV45 @ SV93 @ SV128 )
= SV45 )
= $false )
| ( ( ( hAPP_l207779698on_val @ SV45 @ SV93 )
= SV128 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1401]) ).
thf(1459,plain,
! [SV128: $i,SV93: $i,SV45: $i] :
( ( ( ( hAPP_l207779698on_val @ SV45 @ SV93 )
= SV128 )
= $false )
| ( ( ( fun_up1149430426on_val @ SV45 @ SV93 @ SV128 )
= SV45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1402]) ).
thf(1460,plain,
! [SV94: $i,SV48: $i] :
( ( ( ! [SY737: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK44_SY547 @ SV48 @ SV94 ) ) @ SY737 ) @ SV94 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK44_SY547 @ SV48 @ SV94 ) ) @ SY737 ) @ SV48 ) ) )
| ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK44_SY547 @ SV48 @ SV94 ) ) @ SY737 ) @ SV48 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK44_SY547 @ SV48 @ SV94 ) ) @ SY737 ) @ SV94 ) ) ) ) )
= $false )
| ( ( SV94 = SV48 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1403]) ).
thf(1461,plain,
! [SV48: $i,SV94: $i,SV202: $i] :
( ( ( ! [SY738: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV202 ) @ SY738 ) @ SV94 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV202 ) @ SY738 ) @ SV48 ) ) )
| ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV202 ) @ SY738 ) @ SV48 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV202 ) @ SY738 ) @ SV94 ) ) ) ) )
= $true )
| ( ( SV94 = SV48 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1404]) ).
thf(1462,plain,
! [SV95: $i,SV49: $i,SV156: $i,SV129: $i] :
( ( ( SV129 != SV156 )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV49 @ SV156 @ SV95 ) @ SV129 )
= SV95 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1405]) ).
thf(1463,plain,
! [SV95: $i,SV49: $i,SV156: $i,SV129: $i] :
( ( ( ~ ( ( SV129 != SV156 ) ) )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV49 @ SV156 @ SV95 ) @ SV129 )
= ( hAPP_l207779698on_val @ SV49 @ SV129 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1406]) ).
thf(1464,plain,
! [SV50: $i,SV184: $i,SV173: $i,SV157: $i,SV130: $i,SV96: $i] :
( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV96 ) @ SV130 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV157 ) @ SV173 ) ) @ ( red @ SV184 ) ) )
= $false )
| ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV96 @ SV50 ) ) @ SV130 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV157 @ SV50 ) ) @ SV173 ) ) @ ( red @ SV184 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1407]) ).
thf(1465,plain,
! [SV158: $i,SV131: $i,SV97: $i,SV51: $i] :
( ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV51 ) @ SV97 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV131 ) @ SV158 ) )
= $true )
| ( ( ~ ( ( SV51 != SV131 )
| ( SV97 != SV158 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1408]) ).
thf(1466,plain,
! [SV158: $i,SV97: $i,SV131: $i,SV51: $i] :
( ( ( ~ ~ ( ( SV51 != SV131 )
| ( SV97 != SV158 ) ) )
= $true )
| ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV51 ) @ SV97 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV131 ) @ SV158 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1409]) ).
thf(1467,plain,
! [SV133: $i,SV100: $i,SV54: $i,SV175: $i,SV160: $i] :
( ( ( SV160 = SV175 )
= $true )
| ( ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV54 @ SV160 @ SV100 ) @ SV175 @ SV133 )
= ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV54 @ SV175 @ SV133 ) @ SV160 @ SV100 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1413]) ).
thf(1468,plain,
! [SV203: $i,SV55: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV55 @ SV203 ) ) )
= $true )
| ( ( ~ ! [SY438: $i] :
~ ~ ! [SY439: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV55 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY438 ) @ SY439 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1414]) ).
thf(1469,plain,
! [SV204: $i,SV55: $i] :
( ( ( ~ ~ ! [SY739: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV55 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV204 ) @ SY739 ) ) ) )
= $true )
| ( ( ~ ! [SY442: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV55 @ SY442 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1415]) ).
thf(1470,plain,
! [SV101: $i,SV56: $i,SV191: $i,SV185: $i,SV176: $i,SV161: $i,SV134: $i] :
( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV134 ) @ SV161 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV176 ) @ SV185 ) ) @ ( red @ SV191 ) ) ) )
= $true )
| ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV134 @ SV56 @ SV101 ) ) @ SV161 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV176 @ SV56 @ SV101 ) ) @ SV185 ) ) @ ( red @ SV191 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1416]) ).
thf(1471,plain,
! [SV102: $i,SV57: $i,SV135: $i,SV162: $i] :
( ( ( SV162 != SV135 )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV57 @ SV135 @ SV102 ) @ SV162 )
= SV102 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1417]) ).
thf(1472,plain,
! [SV102: $i,SV57: $i,SV135: $i,SV162: $i] :
( ( ( ~ ( ( SV162 != SV135 ) ) )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV57 @ SV135 @ SV102 ) @ SV162 )
= ( hAPP_l207779698on_val @ SV57 @ SV162 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1418]) ).
thf(1473,plain,
! [SV205: $i,SV60: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV60 @ SV205 ) ) )
= $true )
| ( ( ~ ! [SY459: $i] :
~ ~ ! [SY460: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV60 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY459 ) @ SY460 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1421]) ).
thf(1474,plain,
! [SV206: $i,SV60: $i] :
( ( ( ~ ~ ! [SY740: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV60 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV206 ) @ SY740 ) ) ) )
= $true )
| ( ( ~ ! [SY463: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV60 @ SY463 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1422]) ).
thf(1475,plain,
! [SV186: $i,SV177: $i,SV164: $i,SV141: $i,SV111: $i,SV70: $i,SV11: $i] :
( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV11 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV70 ) @ SV111 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV141 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV164 ) @ SV177 ) ) ) @ ( red @ SV186 ) ) )
= $false )
| ( ( hBOOL @ ( hext @ SV70 @ SV164 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1423]) ).
thf(1476,plain,
! [SV71: $i,SV12: $i] :
( ( ( ~ ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK38_SY480 @ SV12 @ SV71 ) ) @ ( sK45_SY729 @ SV71 @ SV12 ) ) @ SV71 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK38_SY480 @ SV12 @ SV71 ) ) @ ( sK45_SY729 @ SV71 @ SV12 ) ) @ SV12 ) ) )
| ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK38_SY480 @ SV12 @ SV71 ) ) @ ( sK45_SY729 @ SV71 @ SV12 ) ) @ SV12 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK38_SY480 @ SV12 @ SV71 ) ) @ ( sK45_SY729 @ SV71 @ SV12 ) ) @ SV71 ) ) ) ) )
= $false )
| ( ( SV71 = SV12 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1424]) ).
thf(1477,plain,
! [SV12: $i,SV71: $i,SV207: $i,SV192: $i] :
( ( ( ~ ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV192 ) @ SV207 ) @ SV71 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV192 ) @ SV207 ) @ SV12 ) ) )
| ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV192 ) @ SV207 ) @ SV12 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV192 ) @ SV207 ) @ SV71 ) ) ) ) )
= $true )
| ( ( SV71 = SV12 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1425]) ).
thf(1478,plain,
! [SV72: $i,SV13: $i,SV187: $i,SV178: $i,SV165: $i,SV142: $i,SV112: $i] :
( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV112 ) @ SV142 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV165 ) @ SV178 ) ) @ ( red @ SV187 ) ) )
= $false )
| ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV112 @ SV13 @ SV72 ) ) @ SV142 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAcc_list_char @ SV165 @ SV13 @ SV72 ) ) @ SV178 ) ) @ ( red @ SV187 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1426]) ).
thf(1479,plain,
! [SV208: $i,SV193: $i,SV15: $i] :
( ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV15 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV193 ) @ SV208 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV15 @ ( sK29_SY289 @ SV15 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1427]) ).
thf(1480,plain,
! [SV209: $i,SV15: $i] :
( ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV15 @ SV209 ) )
= $true )
| ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV15 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK30_SY292 @ SV15 ) ) @ ( sK39_SY722 @ SV15 ) ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1428]) ).
thf(1481,plain,
! [SV113: $i,SV73: $i,SV16: $i,SV194: $i,SV188: $i,SV179: $i,SV166: $i,SV143: $i] :
( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV143 ) @ SV166 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV179 ) @ SV188 ) ) @ ( red @ SV194 ) ) ) )
= $true )
| ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV143 @ SV16 @ SV73 @ SV113 ) ) @ SV166 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV179 @ SV16 @ SV73 @ SV113 ) ) @ SV188 ) ) @ ( red @ SV194 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1429]) ).
thf(1482,plain,
! [SV144: $i,SV114: $i,SV74: $i,SV17: $i] :
( ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV17 ) @ SV74 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV114 ) @ SV144 ) )
= $false )
| ( ( ~ ( ( SV17 != SV114 )
| ( SV74 != SV144 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1430]) ).
thf(1483,plain,
! [SV144: $i,SV74: $i,SV114: $i,SV17: $i] :
( ( ( ~ ( ( SV17 != SV114 )
| ( SV74 != SV144 ) ) )
= $false )
| ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV17 ) @ SV74 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV114 ) @ SV144 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1431]) ).
thf(1484,plain,
! [SV195: $i,SV19: $i] :
( ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV19 @ SV195 ) )
= $false )
| ( ( ~ ! [SY308: $i] :
~ ~ ! [SY309: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV19 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY308 ) @ SY309 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1432]) ).
thf(1485,plain,
! [SV196: $i,SV19: $i] :
( ( ( ~ ! [SY732: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV19 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV196 ) @ SY732 ) ) ) )
= $false )
| ( ( ~ ! [SY312: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV19 @ SY312 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1433]) ).
thf(1486,plain,
! [SV145: $i,SV76: $i,SV116: $i,SV20: $i] :
( ( ( SV20 = SV116 )
= $true )
| ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV20 ) @ SV76 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV116 ) @ SV145 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1434]) ).
thf(1487,plain,
! [SV116: $i,SV20: $i,SV145: $i,SV76: $i] :
( ( ( SV76 = SV145 )
= $true )
| ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV20 ) @ SV76 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV116 ) @ SV145 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1435]) ).
thf(1488,plain,
! [SV147: $i,SV79: $i,SV119: $i,SV23: $i] :
( ( ( SV23 = SV119 )
= $true )
| ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV23 ) @ SV79 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV119 ) @ SV147 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1436]) ).
thf(1489,plain,
! [SV119: $i,SV23: $i,SV147: $i,SV79: $i] :
( ( ( SV79 = SV147 )
= $true )
| ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV23 ) @ SV79 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV119 ) @ SV147 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1437]) ).
thf(1490,plain,
! [SV81: $i,SV27: $i] :
( ( ( ~ ( ~ ( hBOOL @ SV27 )
| ( hBOOL @ SV81 ) ) )
= $false )
| ( ( ( bool @ SV27 )
= ( bool @ SV81 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1439]) ).
thf(1491,plain,
! [SV27: $i,SV81: $i] :
( ( ( ~ ( ~ ( hBOOL @ SV81 )
| ( hBOOL @ SV27 ) ) )
= $false )
| ( ( ( bool @ SV27 )
= ( bool @ SV81 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1439]) ).
thf(1492,plain,
! [SV81: $i,SV27: $i] :
( ( ( ~ ( ~ ( hBOOL @ SV27 )
| ( hBOOL @ SV81 ) ) )
= $true )
| ( ( ~ ( ~ ( hBOOL @ SV81 )
| ( hBOOL @ SV27 ) ) )
= $true )
| ( ( ( bool @ SV27 )
= ( bool @ SV81 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1440]) ).
thf(1493,plain,
! [SV210: $i,SV197: $i,SV28: $i] :
( ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV28 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV197 ) @ SV210 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV28 @ ( sK31_SY337 @ SV28 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1441]) ).
thf(1494,plain,
! [SV211: $i,SV28: $i] :
( ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV28 @ SV211 ) )
= $true )
| ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV28 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK32_SY340 @ SV28 ) ) @ ( sK40_SY724 @ SV28 ) ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1442]) ).
thf(1495,plain,
! [SV29: $i,SV198: $i,SV189: $i,SV181: $i,SV169: $i,SV149: $i,SV121: $i,SV82: $i] :
( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV82 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV121 ) @ SV149 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV169 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV181 ) @ SV189 ) ) ) @ ( red @ SV198 ) ) ) )
= $true )
| ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV82 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV121 ) @ ( map_ad325961431ar_val @ SV29 @ SV149 ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV169 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV181 ) @ ( map_ad325961431ar_val @ SV29 @ SV189 ) ) ) ) @ ( red @ SV198 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1443]) ).
thf(1496,plain,
! [SV150: $i,SV122: $i,SV84: $i,SV32: $i] :
( ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV32 ) @ SV84 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV122 ) @ SV150 ) )
= $false )
| ( ( ~ ( ( SV32 != SV122 )
| ( SV84 != SV150 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1445]) ).
thf(1497,plain,
! [SV150: $i,SV84: $i,SV122: $i,SV32: $i] :
( ( ( ~ ( ( SV32 != SV122 )
| ( SV84 != SV150 ) ) )
= $false )
| ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV32 ) @ SV84 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV122 ) @ SV150 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1446]) ).
thf(1498,plain,
! [SV151: $i,SV85: $i,SV123: $i,SV34: $i] :
( ( ( SV34 = SV123 )
= $true )
| ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV34 ) @ SV85 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV123 ) @ SV151 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1447]) ).
thf(1499,plain,
! [SV123: $i,SV34: $i,SV151: $i,SV85: $i] :
( ( ( SV85 = SV151 )
= $true )
| ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV34 ) @ SV85 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV123 ) @ SV151 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1448]) ).
thf(1500,plain,
! [SV212: $i,SV199: $i,SV37: $i] :
( ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV37 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV199 ) @ SV212 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV37 @ ( sK34_SY369 @ SV37 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1449]) ).
thf(1501,plain,
! [SV213: $i,SV37: $i] :
( ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV37 @ SV213 ) )
= $true )
| ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV37 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK35_SY372 @ SV37 ) ) @ ( sK42_SY727 @ SV37 ) ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1450]) ).
thf(1502,plain,
! [SV89: $i,SV41: $i] :
( ( ( ~ ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK43_SY530 @ SV41 @ SV89 ) ) @ ( sK46_SY735 @ SV89 @ SV41 ) ) @ SV89 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK43_SY530 @ SV41 @ SV89 ) ) @ ( sK46_SY735 @ SV89 @ SV41 ) ) @ SV41 ) ) )
| ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK43_SY530 @ SV41 @ SV89 ) ) @ ( sK46_SY735 @ SV89 @ SV41 ) ) @ SV41 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK43_SY530 @ SV41 @ SV89 ) ) @ ( sK46_SY735 @ SV89 @ SV41 ) ) @ SV89 ) ) ) ) )
= $false )
| ( ( SV89 = SV41 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1453]) ).
thf(1503,plain,
! [SV41: $i,SV89: $i,SV214: $i,SV200: $i] :
( ( ( ~ ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV200 ) @ SV214 ) @ SV89 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV200 ) @ SV214 ) @ SV41 ) ) )
| ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV200 ) @ SV214 ) @ SV41 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV200 ) @ SV214 ) @ SV89 ) ) ) ) )
= $true )
| ( ( SV89 = SV41 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1454]) ).
thf(1504,plain,
! [SV126: $i,SV91: $i,SV43: $i,SV201: $i,SV190: $i,SV183: $i,SV171: $i,SV154: $i] :
( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV154 ) @ SV171 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV183 ) @ SV190 ) ) @ ( red @ SV201 ) ) ) )
= $true )
| ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV154 @ SV43 @ SV91 @ SV126 ) ) @ SV171 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV183 @ SV43 @ SV91 @ SV126 ) ) @ SV190 ) ) @ ( red @ SV201 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1455]) ).
thf(1505,plain,
! [SV172: $i,SV155: $i,SV127: $i,SV92: $i,SV44: $i] :
( ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV44 @ SV92 @ ( hAPP_val_option_val @ some_val @ SV127 ) ) @ SV155 )
!= ( hAPP_val_option_val @ some_val @ SV172 ) )
= $true )
| ( ( ~ ( ( SV155 != SV92 )
| ( SV127 != SV172 ) )
| ~ ( ~ ( ( SV155 != SV92 ) )
| ( ( hAPP_l207779698on_val @ SV44 @ SV155 )
!= ( hAPP_val_option_val @ some_val @ SV172 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1456]) ).
thf(1506,plain,
! [SV44: $i,SV172: $i,SV127: $i,SV92: $i,SV155: $i] :
( ( ( ~ ( ~ ( ( SV155 != SV92 )
| ( SV127 != SV172 ) )
| ~ ( ~ ( ( SV155 != SV92 ) )
| ( ( hAPP_l207779698on_val @ SV44 @ SV155 )
!= ( hAPP_val_option_val @ some_val @ SV172 ) ) ) ) )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV44 @ SV92 @ ( hAPP_val_option_val @ some_val @ SV127 ) ) @ SV155 )
= ( hAPP_val_option_val @ some_val @ SV172 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1457]) ).
thf(1507,plain,
! [SV94: $i,SV48: $i] :
( ( ( ~ ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK44_SY547 @ SV48 @ SV94 ) ) @ ( sK47_SY737 @ SV94 @ SV48 ) ) @ SV94 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK44_SY547 @ SV48 @ SV94 ) ) @ ( sK47_SY737 @ SV94 @ SV48 ) ) @ SV48 ) ) )
| ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK44_SY547 @ SV48 @ SV94 ) ) @ ( sK47_SY737 @ SV94 @ SV48 ) ) @ SV48 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK44_SY547 @ SV48 @ SV94 ) ) @ ( sK47_SY737 @ SV94 @ SV48 ) ) @ SV94 ) ) ) ) )
= $false )
| ( ( SV94 = SV48 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1460]) ).
thf(1508,plain,
! [SV48: $i,SV94: $i,SV215: $i,SV202: $i] :
( ( ( ~ ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV202 ) @ SV215 ) @ SV94 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV202 ) @ SV215 ) @ SV48 ) ) )
| ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV202 ) @ SV215 ) @ SV48 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV202 ) @ SV215 ) @ SV94 ) ) ) ) )
= $true )
| ( ( SV94 = SV48 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1461]) ).
thf(1509,plain,
! [SV95: $i,SV49: $i,SV156: $i,SV129: $i] :
( ( ( SV129 = SV156 )
= $false )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV49 @ SV156 @ SV95 ) @ SV129 )
= SV95 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1462]) ).
thf(1510,plain,
! [SV95: $i,SV49: $i,SV156: $i,SV129: $i] :
( ( ( SV129 != SV156 )
= $false )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV49 @ SV156 @ SV95 ) @ SV129 )
= ( hAPP_l207779698on_val @ SV49 @ SV129 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1463]) ).
thf(1511,plain,
! [SV158: $i,SV131: $i,SV97: $i,SV51: $i] :
( ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV51 ) @ SV97 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV131 ) @ SV158 ) )
= $false )
| ( ( ~ ( ( SV51 != SV131 )
| ( SV97 != SV158 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1465]) ).
thf(1512,plain,
! [SV158: $i,SV97: $i,SV131: $i,SV51: $i] :
( ( ( ~ ( ( SV51 != SV131 )
| ( SV97 != SV158 ) ) )
= $false )
| ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV51 ) @ SV97 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV131 ) @ SV158 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1466]) ).
thf(1513,plain,
! [SV203: $i,SV55: $i] :
( ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV55 @ SV203 ) )
= $false )
| ( ( ~ ! [SY438: $i] :
~ ~ ! [SY439: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV55 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY438 ) @ SY439 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1468]) ).
thf(1514,plain,
! [SV204: $i,SV55: $i] :
( ( ( ~ ! [SY739: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV55 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV204 ) @ SY739 ) ) ) )
= $false )
| ( ( ~ ! [SY442: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV55 @ SY442 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1469]) ).
thf(1515,plain,
! [SV101: $i,SV56: $i,SV191: $i,SV185: $i,SV176: $i,SV161: $i,SV134: $i] :
( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV134 ) @ SV161 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV176 ) @ SV185 ) ) @ ( red @ SV191 ) ) )
= $false )
| ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV134 @ SV56 @ SV101 ) ) @ SV161 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( binOp_list_char @ SV176 @ SV56 @ SV101 ) ) @ SV185 ) ) @ ( red @ SV191 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1470]) ).
thf(1516,plain,
! [SV102: $i,SV57: $i,SV135: $i,SV162: $i] :
( ( ( SV162 = SV135 )
= $false )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV57 @ SV135 @ SV102 ) @ SV162 )
= SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1471]) ).
thf(1517,plain,
! [SV102: $i,SV57: $i,SV135: $i,SV162: $i] :
( ( ( SV162 != SV135 )
= $false )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV57 @ SV135 @ SV102 ) @ SV162 )
= ( hAPP_l207779698on_val @ SV57 @ SV162 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1472]) ).
thf(1518,plain,
! [SV205: $i,SV60: $i] :
( ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV60 @ SV205 ) )
= $false )
| ( ( ~ ! [SY459: $i] :
~ ~ ! [SY460: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV60 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY459 ) @ SY460 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1473]) ).
thf(1519,plain,
! [SV206: $i,SV60: $i] :
( ( ( ~ ! [SY740: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV60 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV206 ) @ SY740 ) ) ) )
= $false )
| ( ( ~ ! [SY463: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV60 @ SY463 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1474]) ).
thf(1520,plain,
! [SV71: $i,SV12: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK38_SY480 @ SV12 @ SV71 ) ) @ ( sK45_SY729 @ SV71 @ SV12 ) ) @ SV71 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK38_SY480 @ SV12 @ SV71 ) ) @ ( sK45_SY729 @ SV71 @ SV12 ) ) @ SV12 ) ) )
| ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK38_SY480 @ SV12 @ SV71 ) ) @ ( sK45_SY729 @ SV71 @ SV12 ) ) @ SV12 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK38_SY480 @ SV12 @ SV71 ) ) @ ( sK45_SY729 @ SV71 @ SV12 ) ) @ SV71 ) ) ) )
= $true )
| ( ( SV71 = SV12 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1476]) ).
thf(1521,plain,
! [SV12: $i,SV71: $i,SV207: $i,SV192: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV192 ) @ SV207 ) @ SV71 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV192 ) @ SV207 ) @ SV12 ) ) )
| ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV192 ) @ SV207 ) @ SV12 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV192 ) @ SV207 ) @ SV71 ) ) ) )
= $false )
| ( ( SV71 = SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1477]) ).
thf(1522,plain,
! [SV113: $i,SV73: $i,SV16: $i,SV194: $i,SV188: $i,SV179: $i,SV166: $i,SV143: $i] :
( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV143 ) @ SV166 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV179 ) @ SV188 ) ) @ ( red @ SV194 ) ) )
= $false )
| ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV143 @ SV16 @ SV73 @ SV113 ) ) @ SV166 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( fAss_list_char @ SV179 @ SV16 @ SV73 @ SV113 ) ) @ SV188 ) ) @ ( red @ SV194 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1481]) ).
thf(1523,plain,
! [SV144: $i,SV74: $i,SV114: $i,SV17: $i] :
( ( ( ( SV17 != SV114 )
| ( SV74 != SV144 ) )
= $false )
| ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV17 ) @ SV74 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV114 ) @ SV144 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1482]) ).
thf(1524,plain,
! [SV144: $i,SV74: $i,SV114: $i,SV17: $i] :
( ( ( ( SV17 != SV114 )
| ( SV74 != SV144 ) )
= $true )
| ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV17 ) @ SV74 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV114 ) @ SV144 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1483]) ).
thf(1525,plain,
! [SV195: $i,SV19: $i] :
( ( ( ! [SY308: $i] :
~ ~ ! [SY309: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV19 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY308 ) @ SY309 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV19 @ SV195 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1484]) ).
thf(1526,plain,
! [SV196: $i,SV19: $i] :
( ( ( ! [SY732: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV19 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV196 ) @ SY732 ) ) ) )
= $true )
| ( ( ~ ! [SY312: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV19 @ SY312 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1485]) ).
thf(1527,plain,
! [SV81: $i,SV27: $i] :
( ( ( ~ ( hBOOL @ SV27 )
| ( hBOOL @ SV81 ) )
= $true )
| ( ( ( bool @ SV27 )
= ( bool @ SV81 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1490]) ).
thf(1528,plain,
! [SV27: $i,SV81: $i] :
( ( ( ~ ( hBOOL @ SV81 )
| ( hBOOL @ SV27 ) )
= $true )
| ( ( ( bool @ SV27 )
= ( bool @ SV81 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1491]) ).
thf(1529,plain,
! [SV81: $i,SV27: $i] :
( ( ( ~ ( hBOOL @ SV27 )
| ( hBOOL @ SV81 ) )
= $false )
| ( ( ~ ( ~ ( hBOOL @ SV81 )
| ( hBOOL @ SV27 ) ) )
= $true )
| ( ( ( bool @ SV27 )
= ( bool @ SV81 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1492]) ).
thf(1530,plain,
! [SV29: $i,SV198: $i,SV189: $i,SV181: $i,SV169: $i,SV149: $i,SV121: $i,SV82: $i] :
( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV82 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV121 ) @ SV149 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV169 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV181 ) @ SV189 ) ) ) @ ( red @ SV198 ) ) )
= $false )
| ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV82 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV121 ) @ ( map_ad325961431ar_val @ SV29 @ SV149 ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV169 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV181 ) @ ( map_ad325961431ar_val @ SV29 @ SV189 ) ) ) ) @ ( red @ SV198 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1495]) ).
thf(1531,plain,
! [SV150: $i,SV84: $i,SV122: $i,SV32: $i] :
( ( ( ( SV32 != SV122 )
| ( SV84 != SV150 ) )
= $false )
| ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV32 ) @ SV84 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV122 ) @ SV150 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1496]) ).
thf(1532,plain,
! [SV150: $i,SV84: $i,SV122: $i,SV32: $i] :
( ( ( ( SV32 != SV122 )
| ( SV84 != SV150 ) )
= $true )
| ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV32 ) @ SV84 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV122 ) @ SV150 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1497]) ).
thf(1533,plain,
! [SV89: $i,SV41: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK43_SY530 @ SV41 @ SV89 ) ) @ ( sK46_SY735 @ SV89 @ SV41 ) ) @ SV89 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK43_SY530 @ SV41 @ SV89 ) ) @ ( sK46_SY735 @ SV89 @ SV41 ) ) @ SV41 ) ) )
| ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK43_SY530 @ SV41 @ SV89 ) ) @ ( sK46_SY735 @ SV89 @ SV41 ) ) @ SV41 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK43_SY530 @ SV41 @ SV89 ) ) @ ( sK46_SY735 @ SV89 @ SV41 ) ) @ SV89 ) ) ) )
= $true )
| ( ( SV89 = SV41 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1502]) ).
thf(1534,plain,
! [SV41: $i,SV89: $i,SV214: $i,SV200: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV200 ) @ SV214 ) @ SV89 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV200 ) @ SV214 ) @ SV41 ) ) )
| ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV200 ) @ SV214 ) @ SV41 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV200 ) @ SV214 ) @ SV89 ) ) ) )
= $false )
| ( ( SV89 = SV41 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1503]) ).
thf(1535,plain,
! [SV126: $i,SV91: $i,SV43: $i,SV201: $i,SV190: $i,SV183: $i,SV171: $i,SV154: $i] :
( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV154 ) @ SV171 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV183 ) @ SV190 ) ) @ ( red @ SV201 ) ) )
= $false )
| ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV154 @ SV43 @ SV91 @ SV126 ) ) @ SV171 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( tryCatch_list_char @ SV183 @ SV43 @ SV91 @ SV126 ) ) @ SV190 ) ) @ ( red @ SV201 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1504]) ).
thf(1536,plain,
! [SV172: $i,SV155: $i,SV127: $i,SV92: $i,SV44: $i] :
( ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV44 @ SV92 @ ( hAPP_val_option_val @ some_val @ SV127 ) ) @ SV155 )
= ( hAPP_val_option_val @ some_val @ SV172 ) )
= $false )
| ( ( ~ ( ( SV155 != SV92 )
| ( SV127 != SV172 ) )
| ~ ( ~ ( ( SV155 != SV92 ) )
| ( ( hAPP_l207779698on_val @ SV44 @ SV155 )
!= ( hAPP_val_option_val @ some_val @ SV172 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1505]) ).
thf(1537,plain,
! [SV44: $i,SV172: $i,SV127: $i,SV92: $i,SV155: $i] :
( ( ( ~ ( ( SV155 != SV92 )
| ( SV127 != SV172 ) )
| ~ ( ~ ( ( SV155 != SV92 ) )
| ( ( hAPP_l207779698on_val @ SV44 @ SV155 )
!= ( hAPP_val_option_val @ some_val @ SV172 ) ) ) )
= $false )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV44 @ SV92 @ ( hAPP_val_option_val @ some_val @ SV127 ) ) @ SV155 )
= ( hAPP_val_option_val @ some_val @ SV172 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1506]) ).
thf(1538,plain,
! [SV94: $i,SV48: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK44_SY547 @ SV48 @ SV94 ) ) @ ( sK47_SY737 @ SV94 @ SV48 ) ) @ SV94 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK44_SY547 @ SV48 @ SV94 ) ) @ ( sK47_SY737 @ SV94 @ SV48 ) ) @ SV48 ) ) )
| ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK44_SY547 @ SV48 @ SV94 ) ) @ ( sK47_SY737 @ SV94 @ SV48 ) ) @ SV48 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK44_SY547 @ SV48 @ SV94 ) ) @ ( sK47_SY737 @ SV94 @ SV48 ) ) @ SV94 ) ) ) )
= $true )
| ( ( SV94 = SV48 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1507]) ).
thf(1539,plain,
! [SV48: $i,SV94: $i,SV215: $i,SV202: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV202 ) @ SV215 ) @ SV94 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV202 ) @ SV215 ) @ SV48 ) ) )
| ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV202 ) @ SV215 ) @ SV48 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV202 ) @ SV215 ) @ SV94 ) ) ) )
= $false )
| ( ( SV94 = SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1508]) ).
thf(1540,plain,
! [SV95: $i,SV49: $i,SV156: $i,SV129: $i] :
( ( ( SV129 = SV156 )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV49 @ SV156 @ SV95 ) @ SV129 )
= ( hAPP_l207779698on_val @ SV49 @ SV129 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1510]) ).
thf(1541,plain,
! [SV158: $i,SV97: $i,SV131: $i,SV51: $i] :
( ( ( ( SV51 != SV131 )
| ( SV97 != SV158 ) )
= $false )
| ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV51 ) @ SV97 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV131 ) @ SV158 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1511]) ).
thf(1542,plain,
! [SV158: $i,SV97: $i,SV131: $i,SV51: $i] :
( ( ( ( SV51 != SV131 )
| ( SV97 != SV158 ) )
= $true )
| ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV51 ) @ SV97 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV131 ) @ SV158 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1512]) ).
thf(1543,plain,
! [SV203: $i,SV55: $i] :
( ( ( ! [SY438: $i] :
~ ~ ! [SY439: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV55 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY438 ) @ SY439 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV55 @ SV203 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1513]) ).
thf(1544,plain,
! [SV204: $i,SV55: $i] :
( ( ( ! [SY739: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV55 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV204 ) @ SY739 ) ) ) )
= $true )
| ( ( ~ ! [SY442: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV55 @ SY442 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1514]) ).
thf(1545,plain,
! [SV102: $i,SV57: $i,SV135: $i,SV162: $i] :
( ( ( SV162 = SV135 )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV57 @ SV135 @ SV102 ) @ SV162 )
= ( hAPP_l207779698on_val @ SV57 @ SV162 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1517]) ).
thf(1546,plain,
! [SV205: $i,SV60: $i] :
( ( ( ! [SY459: $i] :
~ ~ ! [SY460: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV60 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY459 ) @ SY460 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV60 @ SV205 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1518]) ).
thf(1547,plain,
! [SV206: $i,SV60: $i] :
( ( ( ! [SY740: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV60 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV206 ) @ SY740 ) ) ) )
= $true )
| ( ( ~ ! [SY463: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV60 @ SY463 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1519]) ).
thf(1548,plain,
! [SV71: $i,SV12: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK38_SY480 @ SV12 @ SV71 ) ) @ ( sK45_SY729 @ SV71 @ SV12 ) ) @ SV71 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK38_SY480 @ SV12 @ SV71 ) ) @ ( sK45_SY729 @ SV71 @ SV12 ) ) @ SV12 ) ) ) )
= $true )
| ( ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK38_SY480 @ SV12 @ SV71 ) ) @ ( sK45_SY729 @ SV71 @ SV12 ) ) @ SV12 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK38_SY480 @ SV12 @ SV71 ) ) @ ( sK45_SY729 @ SV71 @ SV12 ) ) @ SV71 ) ) ) )
= $true )
| ( ( SV71 = SV12 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1520]) ).
thf(1549,plain,
! [SV12: $i,SV71: $i,SV207: $i,SV192: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV192 ) @ SV207 ) @ SV71 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV192 ) @ SV207 ) @ SV12 ) ) ) )
= $false )
| ( ( SV71 = SV12 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1521]) ).
thf(1550,plain,
! [SV71: $i,SV12: $i,SV207: $i,SV192: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV192 ) @ SV207 ) @ SV12 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV192 ) @ SV207 ) @ SV71 ) ) ) )
= $false )
| ( ( SV71 = SV12 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1521]) ).
thf(1551,plain,
! [SV144: $i,SV74: $i,SV114: $i,SV17: $i] :
( ( ( SV17 != SV114 )
= $false )
| ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV17 ) @ SV74 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV114 ) @ SV144 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1523]) ).
thf(1552,plain,
! [SV114: $i,SV17: $i,SV144: $i,SV74: $i] :
( ( ( SV74 != SV144 )
= $false )
| ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV17 ) @ SV74 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV114 ) @ SV144 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1523]) ).
thf(1553,plain,
! [SV144: $i,SV74: $i,SV114: $i,SV17: $i] :
( ( ( SV17 != SV114 )
= $true )
| ( ( SV74 != SV144 )
= $true )
| ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV17 ) @ SV74 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV114 ) @ SV144 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1524]) ).
thf(1554,plain,
! [SV195: $i,SV19: $i] :
( ( ( ~ ~ ! [SY741: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV19 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK48_SY308 @ SV195 @ SV19 ) ) @ SY741 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV19 @ SV195 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1525]) ).
thf(1555,plain,
! [SV216: $i,SV196: $i,SV19: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV19 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV196 ) @ SV216 ) ) ) )
= $true )
| ( ( ~ ! [SY312: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV19 @ SY312 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1526]) ).
thf(1556,plain,
! [SV81: $i,SV27: $i] :
( ( ( ~ ( hBOOL @ SV27 ) )
= $true )
| ( ( hBOOL @ SV81 )
= $true )
| ( ( ( bool @ SV27 )
= ( bool @ SV81 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1527]) ).
thf(1557,plain,
! [SV27: $i,SV81: $i] :
( ( ( ~ ( hBOOL @ SV81 ) )
= $true )
| ( ( hBOOL @ SV27 )
= $true )
| ( ( ( bool @ SV27 )
= ( bool @ SV81 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1528]) ).
thf(1558,plain,
! [SV81: $i,SV27: $i] :
( ( ( ~ ( hBOOL @ SV27 ) )
= $false )
| ( ( ~ ( ~ ( hBOOL @ SV81 )
| ( hBOOL @ SV27 ) ) )
= $true )
| ( ( ( bool @ SV27 )
= ( bool @ SV81 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1529]) ).
thf(1559,plain,
! [SV27: $i,SV81: $i] :
( ( ( hBOOL @ SV81 )
= $false )
| ( ( ~ ( ~ ( hBOOL @ SV81 )
| ( hBOOL @ SV27 ) ) )
= $true )
| ( ( ( bool @ SV27 )
= ( bool @ SV81 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1529]) ).
thf(1560,plain,
! [SV150: $i,SV84: $i,SV122: $i,SV32: $i] :
( ( ( SV32 != SV122 )
= $false )
| ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV32 ) @ SV84 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV122 ) @ SV150 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1531]) ).
thf(1561,plain,
! [SV122: $i,SV32: $i,SV150: $i,SV84: $i] :
( ( ( SV84 != SV150 )
= $false )
| ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV32 ) @ SV84 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV122 ) @ SV150 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1531]) ).
thf(1562,plain,
! [SV150: $i,SV84: $i,SV122: $i,SV32: $i] :
( ( ( SV32 != SV122 )
= $true )
| ( ( SV84 != SV150 )
= $true )
| ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV32 ) @ SV84 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV122 ) @ SV150 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1532]) ).
thf(1563,plain,
! [SV89: $i,SV41: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK43_SY530 @ SV41 @ SV89 ) ) @ ( sK46_SY735 @ SV89 @ SV41 ) ) @ SV89 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK43_SY530 @ SV41 @ SV89 ) ) @ ( sK46_SY735 @ SV89 @ SV41 ) ) @ SV41 ) ) ) )
= $true )
| ( ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK43_SY530 @ SV41 @ SV89 ) ) @ ( sK46_SY735 @ SV89 @ SV41 ) ) @ SV41 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK43_SY530 @ SV41 @ SV89 ) ) @ ( sK46_SY735 @ SV89 @ SV41 ) ) @ SV89 ) ) ) )
= $true )
| ( ( SV89 = SV41 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1533]) ).
thf(1564,plain,
! [SV41: $i,SV89: $i,SV214: $i,SV200: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV200 ) @ SV214 ) @ SV89 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV200 ) @ SV214 ) @ SV41 ) ) ) )
= $false )
| ( ( SV89 = SV41 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1534]) ).
thf(1565,plain,
! [SV89: $i,SV41: $i,SV214: $i,SV200: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV200 ) @ SV214 ) @ SV41 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV200 ) @ SV214 ) @ SV89 ) ) ) )
= $false )
| ( ( SV89 = SV41 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1534]) ).
thf(1566,plain,
! [SV44: $i,SV172: $i,SV127: $i,SV92: $i,SV155: $i] :
( ( ( ~ ( ( SV155 != SV92 )
| ( SV127 != SV172 ) ) )
= $true )
| ( ( ~ ( ~ ( ( SV155 != SV92 ) )
| ( ( hAPP_l207779698on_val @ SV44 @ SV155 )
!= ( hAPP_val_option_val @ some_val @ SV172 ) ) ) )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV44 @ SV92 @ ( hAPP_val_option_val @ some_val @ SV127 ) ) @ SV155 )
= ( hAPP_val_option_val @ some_val @ SV172 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1536]) ).
thf(1567,plain,
! [SV44: $i,SV172: $i,SV127: $i,SV92: $i,SV155: $i] :
( ( ( ~ ( ( SV155 != SV92 )
| ( SV127 != SV172 ) ) )
= $false )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV44 @ SV92 @ ( hAPP_val_option_val @ some_val @ SV127 ) ) @ SV155 )
= ( hAPP_val_option_val @ some_val @ SV172 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1537]) ).
thf(1568,plain,
! [SV127: $i,SV172: $i,SV44: $i,SV92: $i,SV155: $i] :
( ( ( ~ ( ~ ( ( SV155 != SV92 ) )
| ( ( hAPP_l207779698on_val @ SV44 @ SV155 )
!= ( hAPP_val_option_val @ some_val @ SV172 ) ) ) )
= $false )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV44 @ SV92 @ ( hAPP_val_option_val @ some_val @ SV127 ) ) @ SV155 )
= ( hAPP_val_option_val @ some_val @ SV172 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1537]) ).
thf(1569,plain,
! [SV94: $i,SV48: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK44_SY547 @ SV48 @ SV94 ) ) @ ( sK47_SY737 @ SV94 @ SV48 ) ) @ SV94 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK44_SY547 @ SV48 @ SV94 ) ) @ ( sK47_SY737 @ SV94 @ SV48 ) ) @ SV48 ) ) ) )
= $true )
| ( ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK44_SY547 @ SV48 @ SV94 ) ) @ ( sK47_SY737 @ SV94 @ SV48 ) ) @ SV48 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK44_SY547 @ SV48 @ SV94 ) ) @ ( sK47_SY737 @ SV94 @ SV48 ) ) @ SV94 ) ) ) )
= $true )
| ( ( SV94 = SV48 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1538]) ).
thf(1570,plain,
! [SV48: $i,SV94: $i,SV215: $i,SV202: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV202 ) @ SV215 ) @ SV94 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV202 ) @ SV215 ) @ SV48 ) ) ) )
= $false )
| ( ( SV94 = SV48 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1539]) ).
thf(1571,plain,
! [SV94: $i,SV48: $i,SV215: $i,SV202: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV202 ) @ SV215 ) @ SV48 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV202 ) @ SV215 ) @ SV94 ) ) ) )
= $false )
| ( ( SV94 = SV48 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1539]) ).
thf(1572,plain,
! [SV158: $i,SV97: $i,SV131: $i,SV51: $i] :
( ( ( SV51 != SV131 )
= $false )
| ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV51 ) @ SV97 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV131 ) @ SV158 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1541]) ).
thf(1573,plain,
! [SV131: $i,SV51: $i,SV158: $i,SV97: $i] :
( ( ( SV97 != SV158 )
= $false )
| ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV51 ) @ SV97 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV131 ) @ SV158 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1541]) ).
thf(1574,plain,
! [SV158: $i,SV97: $i,SV131: $i,SV51: $i] :
( ( ( SV51 != SV131 )
= $true )
| ( ( SV97 != SV158 )
= $true )
| ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV51 ) @ SV97 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV131 ) @ SV158 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1542]) ).
thf(1575,plain,
! [SV203: $i,SV55: $i] :
( ( ( ~ ~ ! [SY742: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV55 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK49_SY438 @ SV203 @ SV55 ) ) @ SY742 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV55 @ SV203 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1543]) ).
thf(1576,plain,
! [SV217: $i,SV204: $i,SV55: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV55 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV204 ) @ SV217 ) ) ) )
= $true )
| ( ( ~ ! [SY442: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV55 @ SY442 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1544]) ).
thf(1577,plain,
! [SV205: $i,SV60: $i] :
( ( ( ~ ~ ! [SY743: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV60 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK50_SY459 @ SV205 @ SV60 ) ) @ SY743 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV60 @ SV205 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1546]) ).
thf(1578,plain,
! [SV218: $i,SV206: $i,SV60: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV60 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV206 ) @ SV218 ) ) ) )
= $true )
| ( ( ~ ! [SY463: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV60 @ SY463 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1547]) ).
thf(1579,plain,
! [SV71: $i,SV12: $i] :
( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK38_SY480 @ SV12 @ SV71 ) ) @ ( sK45_SY729 @ SV71 @ SV12 ) ) @ SV71 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK38_SY480 @ SV12 @ SV71 ) ) @ ( sK45_SY729 @ SV71 @ SV12 ) ) @ SV12 ) ) )
= $false )
| ( ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK38_SY480 @ SV12 @ SV71 ) ) @ ( sK45_SY729 @ SV71 @ SV12 ) ) @ SV12 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK38_SY480 @ SV12 @ SV71 ) ) @ ( sK45_SY729 @ SV71 @ SV12 ) ) @ SV71 ) ) ) )
= $true )
| ( ( SV71 = SV12 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1548]) ).
thf(1580,plain,
! [SV12: $i,SV71: $i,SV207: $i,SV192: $i] :
( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV192 ) @ SV207 ) @ SV71 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV192 ) @ SV207 ) @ SV12 ) ) )
= $true )
| ( ( SV71 = SV12 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1549]) ).
thf(1581,plain,
! [SV71: $i,SV12: $i,SV207: $i,SV192: $i] :
( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV192 ) @ SV207 ) @ SV12 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV192 ) @ SV207 ) @ SV71 ) ) )
= $true )
| ( ( SV71 = SV12 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1550]) ).
thf(1582,plain,
! [SV144: $i,SV74: $i,SV114: $i,SV17: $i] :
( ( ( SV17 = SV114 )
= $true )
| ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV17 ) @ SV74 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV114 ) @ SV144 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1551]) ).
thf(1583,plain,
! [SV114: $i,SV17: $i,SV144: $i,SV74: $i] :
( ( ( SV74 = SV144 )
= $true )
| ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV17 ) @ SV74 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV114 ) @ SV144 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1552]) ).
thf(1584,plain,
! [SV144: $i,SV74: $i,SV114: $i,SV17: $i] :
( ( ( SV17 = SV114 )
= $false )
| ( ( SV74 != SV144 )
= $true )
| ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV17 ) @ SV74 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV114 ) @ SV144 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1553]) ).
thf(1585,plain,
! [SV195: $i,SV19: $i] :
( ( ( ~ ! [SY741: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV19 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK48_SY308 @ SV195 @ SV19 ) ) @ SY741 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV19 @ SV195 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1554]) ).
thf(1586,plain,
! [SV216: $i,SV196: $i,SV19: $i] :
( ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV19 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV196 ) @ SV216 ) ) )
= $false )
| ( ( ~ ! [SY312: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV19 @ SY312 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1555]) ).
thf(1587,plain,
! [SV81: $i,SV27: $i] :
( ( ( hBOOL @ SV27 )
= $false )
| ( ( hBOOL @ SV81 )
= $true )
| ( ( ( bool @ SV27 )
= ( bool @ SV81 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1556]) ).
thf(1588,plain,
! [SV27: $i,SV81: $i] :
( ( ( hBOOL @ SV81 )
= $false )
| ( ( hBOOL @ SV27 )
= $true )
| ( ( ( bool @ SV27 )
= ( bool @ SV81 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1557]) ).
thf(1589,plain,
! [SV81: $i,SV27: $i] :
( ( ( hBOOL @ SV27 )
= $true )
| ( ( ~ ( ~ ( hBOOL @ SV81 )
| ( hBOOL @ SV27 ) ) )
= $true )
| ( ( ( bool @ SV27 )
= ( bool @ SV81 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1558]) ).
thf(1590,plain,
! [SV27: $i,SV81: $i] :
( ( ( ~ ( hBOOL @ SV81 )
| ( hBOOL @ SV27 ) )
= $false )
| ( ( hBOOL @ SV81 )
= $false )
| ( ( ( bool @ SV27 )
= ( bool @ SV81 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1559]) ).
thf(1591,plain,
! [SV150: $i,SV84: $i,SV122: $i,SV32: $i] :
( ( ( SV32 = SV122 )
= $true )
| ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV32 ) @ SV84 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV122 ) @ SV150 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1560]) ).
thf(1592,plain,
! [SV122: $i,SV32: $i,SV150: $i,SV84: $i] :
( ( ( SV84 = SV150 )
= $true )
| ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV32 ) @ SV84 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV122 ) @ SV150 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1561]) ).
thf(1593,plain,
! [SV150: $i,SV84: $i,SV122: $i,SV32: $i] :
( ( ( SV32 = SV122 )
= $false )
| ( ( SV84 != SV150 )
= $true )
| ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV32 ) @ SV84 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV122 ) @ SV150 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1562]) ).
thf(1594,plain,
! [SV89: $i,SV41: $i] :
( ( ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK43_SY530 @ SV41 @ SV89 ) ) @ ( sK46_SY735 @ SV89 @ SV41 ) ) @ SV89 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK43_SY530 @ SV41 @ SV89 ) ) @ ( sK46_SY735 @ SV89 @ SV41 ) ) @ SV41 ) ) )
= $false )
| ( ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK43_SY530 @ SV41 @ SV89 ) ) @ ( sK46_SY735 @ SV89 @ SV41 ) ) @ SV41 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK43_SY530 @ SV41 @ SV89 ) ) @ ( sK46_SY735 @ SV89 @ SV41 ) ) @ SV89 ) ) ) )
= $true )
| ( ( SV89 = SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1563]) ).
thf(1595,plain,
! [SV41: $i,SV89: $i,SV214: $i,SV200: $i] :
( ( ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV200 ) @ SV214 ) @ SV89 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV200 ) @ SV214 ) @ SV41 ) ) )
= $true )
| ( ( SV89 = SV41 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1564]) ).
thf(1596,plain,
! [SV89: $i,SV41: $i,SV214: $i,SV200: $i] :
( ( ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV200 ) @ SV214 ) @ SV41 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV200 ) @ SV214 ) @ SV89 ) ) )
= $true )
| ( ( SV89 = SV41 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1565]) ).
thf(1597,plain,
! [SV44: $i,SV172: $i,SV127: $i,SV92: $i,SV155: $i] :
( ( ( ( SV155 != SV92 )
| ( SV127 != SV172 ) )
= $false )
| ( ( ~ ( ~ ( ( SV155 != SV92 ) )
| ( ( hAPP_l207779698on_val @ SV44 @ SV155 )
!= ( hAPP_val_option_val @ some_val @ SV172 ) ) ) )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV44 @ SV92 @ ( hAPP_val_option_val @ some_val @ SV127 ) ) @ SV155 )
= ( hAPP_val_option_val @ some_val @ SV172 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1566]) ).
thf(1598,plain,
! [SV44: $i,SV172: $i,SV127: $i,SV92: $i,SV155: $i] :
( ( ( ( SV155 != SV92 )
| ( SV127 != SV172 ) )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV44 @ SV92 @ ( hAPP_val_option_val @ some_val @ SV127 ) ) @ SV155 )
= ( hAPP_val_option_val @ some_val @ SV172 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1567]) ).
thf(1599,plain,
! [SV127: $i,SV172: $i,SV44: $i,SV92: $i,SV155: $i] :
( ( ( ~ ( ( SV155 != SV92 ) )
| ( ( hAPP_l207779698on_val @ SV44 @ SV155 )
!= ( hAPP_val_option_val @ some_val @ SV172 ) ) )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV44 @ SV92 @ ( hAPP_val_option_val @ some_val @ SV127 ) ) @ SV155 )
= ( hAPP_val_option_val @ some_val @ SV172 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1568]) ).
thf(1600,plain,
! [SV94: $i,SV48: $i] :
( ( ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK44_SY547 @ SV48 @ SV94 ) ) @ ( sK47_SY737 @ SV94 @ SV48 ) ) @ SV94 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK44_SY547 @ SV48 @ SV94 ) ) @ ( sK47_SY737 @ SV94 @ SV48 ) ) @ SV48 ) ) )
= $false )
| ( ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK44_SY547 @ SV48 @ SV94 ) ) @ ( sK47_SY737 @ SV94 @ SV48 ) ) @ SV48 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK44_SY547 @ SV48 @ SV94 ) ) @ ( sK47_SY737 @ SV94 @ SV48 ) ) @ SV94 ) ) ) )
= $true )
| ( ( SV94 = SV48 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1569]) ).
thf(1601,plain,
! [SV48: $i,SV94: $i,SV215: $i,SV202: $i] :
( ( ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV202 ) @ SV215 ) @ SV94 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV202 ) @ SV215 ) @ SV48 ) ) )
= $true )
| ( ( SV94 = SV48 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1570]) ).
thf(1602,plain,
! [SV94: $i,SV48: $i,SV215: $i,SV202: $i] :
( ( ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV202 ) @ SV215 ) @ SV48 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV202 ) @ SV215 ) @ SV94 ) ) )
= $true )
| ( ( SV94 = SV48 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1571]) ).
thf(1603,plain,
! [SV158: $i,SV97: $i,SV131: $i,SV51: $i] :
( ( ( SV51 = SV131 )
= $true )
| ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV51 ) @ SV97 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV131 ) @ SV158 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1572]) ).
thf(1604,plain,
! [SV131: $i,SV51: $i,SV158: $i,SV97: $i] :
( ( ( SV97 = SV158 )
= $true )
| ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV51 ) @ SV97 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV131 ) @ SV158 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1573]) ).
thf(1605,plain,
! [SV158: $i,SV97: $i,SV131: $i,SV51: $i] :
( ( ( SV51 = SV131 )
= $false )
| ( ( SV97 != SV158 )
= $true )
| ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV51 ) @ SV97 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV131 ) @ SV158 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1574]) ).
thf(1606,plain,
! [SV203: $i,SV55: $i] :
( ( ( ~ ! [SY742: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV55 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK49_SY438 @ SV203 @ SV55 ) ) @ SY742 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV55 @ SV203 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1575]) ).
thf(1607,plain,
! [SV217: $i,SV204: $i,SV55: $i] :
( ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV55 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV204 ) @ SV217 ) ) )
= $false )
| ( ( ~ ! [SY442: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV55 @ SY442 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1576]) ).
thf(1608,plain,
! [SV205: $i,SV60: $i] :
( ( ( ~ ! [SY743: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV60 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK50_SY459 @ SV205 @ SV60 ) ) @ SY743 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV60 @ SV205 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1577]) ).
thf(1609,plain,
! [SV218: $i,SV206: $i,SV60: $i] :
( ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV60 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV206 ) @ SV218 ) ) )
= $false )
| ( ( ~ ! [SY463: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV60 @ SY463 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1578]) ).
thf(1610,plain,
! [SV71: $i,SV12: $i] :
( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK38_SY480 @ SV12 @ SV71 ) ) @ ( sK45_SY729 @ SV71 @ SV12 ) ) @ SV71 ) ) )
= $false )
| ( ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK38_SY480 @ SV12 @ SV71 ) ) @ ( sK45_SY729 @ SV71 @ SV12 ) ) @ SV12 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK38_SY480 @ SV12 @ SV71 ) ) @ ( sK45_SY729 @ SV71 @ SV12 ) ) @ SV71 ) ) ) )
= $true )
| ( ( SV71 = SV12 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1579]) ).
thf(1611,plain,
! [SV71: $i,SV12: $i] :
( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK38_SY480 @ SV12 @ SV71 ) ) @ ( sK45_SY729 @ SV71 @ SV12 ) ) @ SV12 ) )
= $false )
| ( ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK38_SY480 @ SV12 @ SV71 ) ) @ ( sK45_SY729 @ SV71 @ SV12 ) ) @ SV12 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK38_SY480 @ SV12 @ SV71 ) ) @ ( sK45_SY729 @ SV71 @ SV12 ) ) @ SV71 ) ) ) )
= $true )
| ( ( SV71 = SV12 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1579]) ).
thf(1612,plain,
! [SV12: $i,SV71: $i,SV207: $i,SV192: $i] :
( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV192 ) @ SV207 ) @ SV71 ) ) )
= $true )
| ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV192 ) @ SV207 ) @ SV12 ) )
= $true )
| ( ( SV71 = SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1580]) ).
thf(1613,plain,
! [SV71: $i,SV12: $i,SV207: $i,SV192: $i] :
( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV192 ) @ SV207 ) @ SV12 ) ) )
= $true )
| ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV192 ) @ SV207 ) @ SV71 ) )
= $true )
| ( ( SV71 = SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1581]) ).
thf(1614,plain,
! [SV114: $i,SV17: $i,SV144: $i,SV74: $i] :
( ( ( SV74 = SV144 )
= $false )
| ( ( SV17 = SV114 )
= $false )
| ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV17 ) @ SV74 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV114 ) @ SV144 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1584]) ).
thf(1615,plain,
! [SV195: $i,SV19: $i] :
( ( ( ! [SY741: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV19 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK48_SY308 @ SV195 @ SV19 ) ) @ SY741 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV19 @ SV195 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1585]) ).
thf(1616,plain,
! [SV216: $i,SV196: $i,SV19: $i] :
( ( ( ! [SY312: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV19 @ SY312 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV19 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV196 ) @ SV216 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1586]) ).
thf(1617,plain,
! [SV27: $i,SV81: $i] :
( ( ( ~ ( hBOOL @ SV81 )
| ( hBOOL @ SV27 ) )
= $false )
| ( ( hBOOL @ SV27 )
= $true )
| ( ( ( bool @ SV27 )
= ( bool @ SV81 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1589]) ).
thf(1618,plain,
! [SV27: $i,SV81: $i] :
( ( ( ~ ( hBOOL @ SV81 ) )
= $false )
| ( ( hBOOL @ SV81 )
= $false )
| ( ( ( bool @ SV27 )
= ( bool @ SV81 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1590]) ).
thf(1619,plain,
! [SV81: $i,SV27: $i] :
( ( ( hBOOL @ SV27 )
= $false )
| ( ( hBOOL @ SV81 )
= $false )
| ( ( ( bool @ SV27 )
= ( bool @ SV81 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1590]) ).
thf(1620,plain,
! [SV122: $i,SV32: $i,SV150: $i,SV84: $i] :
( ( ( SV84 = SV150 )
= $false )
| ( ( SV32 = SV122 )
= $false )
| ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV32 ) @ SV84 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV122 ) @ SV150 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1593]) ).
thf(1621,plain,
! [SV89: $i,SV41: $i] :
( ( ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK43_SY530 @ SV41 @ SV89 ) ) @ ( sK46_SY735 @ SV89 @ SV41 ) ) @ SV89 ) ) )
= $false )
| ( ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK43_SY530 @ SV41 @ SV89 ) ) @ ( sK46_SY735 @ SV89 @ SV41 ) ) @ SV41 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK43_SY530 @ SV41 @ SV89 ) ) @ ( sK46_SY735 @ SV89 @ SV41 ) ) @ SV89 ) ) ) )
= $true )
| ( ( SV89 = SV41 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1594]) ).
thf(1622,plain,
! [SV89: $i,SV41: $i] :
( ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK43_SY530 @ SV41 @ SV89 ) ) @ ( sK46_SY735 @ SV89 @ SV41 ) ) @ SV41 ) )
= $false )
| ( ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK43_SY530 @ SV41 @ SV89 ) ) @ ( sK46_SY735 @ SV89 @ SV41 ) ) @ SV41 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK43_SY530 @ SV41 @ SV89 ) ) @ ( sK46_SY735 @ SV89 @ SV41 ) ) @ SV89 ) ) ) )
= $true )
| ( ( SV89 = SV41 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1594]) ).
thf(1623,plain,
! [SV41: $i,SV89: $i,SV214: $i,SV200: $i] :
( ( ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV200 ) @ SV214 ) @ SV89 ) ) )
= $true )
| ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV200 ) @ SV214 ) @ SV41 ) )
= $true )
| ( ( SV89 = SV41 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1595]) ).
thf(1624,plain,
! [SV89: $i,SV41: $i,SV214: $i,SV200: $i] :
( ( ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV200 ) @ SV214 ) @ SV41 ) ) )
= $true )
| ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV200 ) @ SV214 ) @ SV89 ) )
= $true )
| ( ( SV89 = SV41 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1596]) ).
thf(1625,plain,
! [SV127: $i,SV172: $i,SV44: $i,SV92: $i,SV155: $i] :
( ( ( SV155 != SV92 )
= $false )
| ( ( ~ ( ~ ( ( SV155 != SV92 ) )
| ( ( hAPP_l207779698on_val @ SV44 @ SV155 )
!= ( hAPP_val_option_val @ some_val @ SV172 ) ) ) )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV44 @ SV92 @ ( hAPP_val_option_val @ some_val @ SV127 ) ) @ SV155 )
= ( hAPP_val_option_val @ some_val @ SV172 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1597]) ).
thf(1626,plain,
! [SV44: $i,SV92: $i,SV155: $i,SV172: $i,SV127: $i] :
( ( ( SV127 != SV172 )
= $false )
| ( ( ~ ( ~ ( ( SV155 != SV92 ) )
| ( ( hAPP_l207779698on_val @ SV44 @ SV155 )
!= ( hAPP_val_option_val @ some_val @ SV172 ) ) ) )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV44 @ SV92 @ ( hAPP_val_option_val @ some_val @ SV127 ) ) @ SV155 )
= ( hAPP_val_option_val @ some_val @ SV172 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1597]) ).
thf(1627,plain,
! [SV44: $i,SV172: $i,SV127: $i,SV92: $i,SV155: $i] :
( ( ( SV155 != SV92 )
= $true )
| ( ( SV127 != SV172 )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV44 @ SV92 @ ( hAPP_val_option_val @ some_val @ SV127 ) ) @ SV155 )
= ( hAPP_val_option_val @ some_val @ SV172 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1598]) ).
thf(1628,plain,
! [SV127: $i,SV172: $i,SV44: $i,SV92: $i,SV155: $i] :
( ( ( ~ ( ( SV155 != SV92 ) ) )
= $true )
| ( ( ( hAPP_l207779698on_val @ SV44 @ SV155 )
!= ( hAPP_val_option_val @ some_val @ SV172 ) )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV44 @ SV92 @ ( hAPP_val_option_val @ some_val @ SV127 ) ) @ SV155 )
= ( hAPP_val_option_val @ some_val @ SV172 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1599]) ).
thf(1629,plain,
! [SV94: $i,SV48: $i] :
( ( ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK44_SY547 @ SV48 @ SV94 ) ) @ ( sK47_SY737 @ SV94 @ SV48 ) ) @ SV94 ) ) )
= $false )
| ( ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK44_SY547 @ SV48 @ SV94 ) ) @ ( sK47_SY737 @ SV94 @ SV48 ) ) @ SV48 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK44_SY547 @ SV48 @ SV94 ) ) @ ( sK47_SY737 @ SV94 @ SV48 ) ) @ SV94 ) ) ) )
= $true )
| ( ( SV94 = SV48 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1600]) ).
thf(1630,plain,
! [SV94: $i,SV48: $i] :
( ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK44_SY547 @ SV48 @ SV94 ) ) @ ( sK47_SY737 @ SV94 @ SV48 ) ) @ SV48 ) )
= $false )
| ( ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK44_SY547 @ SV48 @ SV94 ) ) @ ( sK47_SY737 @ SV94 @ SV48 ) ) @ SV48 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK44_SY547 @ SV48 @ SV94 ) ) @ ( sK47_SY737 @ SV94 @ SV48 ) ) @ SV94 ) ) ) )
= $true )
| ( ( SV94 = SV48 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1600]) ).
thf(1631,plain,
! [SV48: $i,SV94: $i,SV215: $i,SV202: $i] :
( ( ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV202 ) @ SV215 ) @ SV94 ) ) )
= $true )
| ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV202 ) @ SV215 ) @ SV48 ) )
= $true )
| ( ( SV94 = SV48 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1601]) ).
thf(1632,plain,
! [SV94: $i,SV48: $i,SV215: $i,SV202: $i] :
( ( ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV202 ) @ SV215 ) @ SV48 ) ) )
= $true )
| ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV202 ) @ SV215 ) @ SV94 ) )
= $true )
| ( ( SV94 = SV48 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1602]) ).
thf(1633,plain,
! [SV131: $i,SV51: $i,SV158: $i,SV97: $i] :
( ( ( SV97 = SV158 )
= $false )
| ( ( SV51 = SV131 )
= $false )
| ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV51 ) @ SV97 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV131 ) @ SV158 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1605]) ).
thf(1634,plain,
! [SV203: $i,SV55: $i] :
( ( ( ! [SY742: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV55 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK49_SY438 @ SV203 @ SV55 ) ) @ SY742 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV55 @ SV203 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1606]) ).
thf(1635,plain,
! [SV217: $i,SV204: $i,SV55: $i] :
( ( ( ! [SY442: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV55 @ SY442 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV55 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV204 ) @ SV217 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1607]) ).
thf(1636,plain,
! [SV205: $i,SV60: $i] :
( ( ( ! [SY743: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV60 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK50_SY459 @ SV205 @ SV60 ) ) @ SY743 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV60 @ SV205 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1608]) ).
thf(1637,plain,
! [SV218: $i,SV206: $i,SV60: $i] :
( ( ( ! [SY463: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV60 @ SY463 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV60 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV206 ) @ SV218 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1609]) ).
thf(1638,plain,
! [SV71: $i,SV12: $i] :
( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK38_SY480 @ SV12 @ SV71 ) ) @ ( sK45_SY729 @ SV71 @ SV12 ) ) @ SV71 ) )
= $true )
| ( ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK38_SY480 @ SV12 @ SV71 ) ) @ ( sK45_SY729 @ SV71 @ SV12 ) ) @ SV12 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK38_SY480 @ SV12 @ SV71 ) ) @ ( sK45_SY729 @ SV71 @ SV12 ) ) @ SV71 ) ) ) )
= $true )
| ( ( SV71 = SV12 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1610]) ).
thf(1639,plain,
! [SV71: $i,SV12: $i] :
( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK38_SY480 @ SV12 @ SV71 ) ) @ ( sK45_SY729 @ SV71 @ SV12 ) ) @ SV12 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK38_SY480 @ SV12 @ SV71 ) ) @ ( sK45_SY729 @ SV71 @ SV12 ) ) @ SV71 ) ) )
= $false )
| ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK38_SY480 @ SV12 @ SV71 ) ) @ ( sK45_SY729 @ SV71 @ SV12 ) ) @ SV12 ) )
= $false )
| ( ( SV71 = SV12 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1611]) ).
thf(1640,plain,
! [SV12: $i,SV71: $i,SV207: $i,SV192: $i] :
( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV192 ) @ SV207 ) @ SV71 ) )
= $false )
| ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV192 ) @ SV207 ) @ SV12 ) )
= $true )
| ( ( SV71 = SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1612]) ).
thf(1641,plain,
! [SV71: $i,SV12: $i,SV207: $i,SV192: $i] :
( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV192 ) @ SV207 ) @ SV12 ) )
= $false )
| ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV192 ) @ SV207 ) @ SV71 ) )
= $true )
| ( ( SV71 = SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1613]) ).
thf(1642,plain,
! [SV195: $i,SV19: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV19 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK48_SY308 @ SV195 @ SV19 ) ) @ ( sK51_SY741 @ SV195 @ SV19 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV19 @ SV195 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1615]) ).
thf(1643,plain,
! [SV196: $i,SV216: $i,SV19: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV19 @ ( sK52_SY312 @ SV216 @ SV196 @ SV19 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV19 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV196 ) @ SV216 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1616]) ).
thf(1644,plain,
! [SV27: $i,SV81: $i] :
( ( ( ~ ( hBOOL @ SV81 ) )
= $false )
| ( ( hBOOL @ SV27 )
= $true )
| ( ( ( bool @ SV27 )
= ( bool @ SV81 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1617]) ).
thf(1645,plain,
! [SV81: $i,SV27: $i] :
( ( ( hBOOL @ SV27 )
= $false )
| ( ( hBOOL @ SV27 )
= $true )
| ( ( ( bool @ SV27 )
= ( bool @ SV81 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1617]) ).
thf(1646,plain,
! [SV27: $i,SV81: $i] :
( ( ( hBOOL @ SV81 )
= $true )
| ( ( hBOOL @ SV81 )
= $false )
| ( ( ( bool @ SV27 )
= ( bool @ SV81 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1618]) ).
thf(1647,plain,
! [SV89: $i,SV41: $i] :
( ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK43_SY530 @ SV41 @ SV89 ) ) @ ( sK46_SY735 @ SV89 @ SV41 ) ) @ SV89 ) )
= $true )
| ( ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK43_SY530 @ SV41 @ SV89 ) ) @ ( sK46_SY735 @ SV89 @ SV41 ) ) @ SV41 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK43_SY530 @ SV41 @ SV89 ) ) @ ( sK46_SY735 @ SV89 @ SV41 ) ) @ SV89 ) ) ) )
= $true )
| ( ( SV89 = SV41 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1621]) ).
thf(1648,plain,
! [SV89: $i,SV41: $i] :
( ( ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK43_SY530 @ SV41 @ SV89 ) ) @ ( sK46_SY735 @ SV89 @ SV41 ) ) @ SV41 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK43_SY530 @ SV41 @ SV89 ) ) @ ( sK46_SY735 @ SV89 @ SV41 ) ) @ SV89 ) ) )
= $false )
| ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK43_SY530 @ SV41 @ SV89 ) ) @ ( sK46_SY735 @ SV89 @ SV41 ) ) @ SV41 ) )
= $false )
| ( ( SV89 = SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1622]) ).
thf(1649,plain,
! [SV41: $i,SV89: $i,SV214: $i,SV200: $i] :
( ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV200 ) @ SV214 ) @ SV89 ) )
= $false )
| ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV200 ) @ SV214 ) @ SV41 ) )
= $true )
| ( ( SV89 = SV41 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1623]) ).
thf(1650,plain,
! [SV89: $i,SV41: $i,SV214: $i,SV200: $i] :
( ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV200 ) @ SV214 ) @ SV41 ) )
= $false )
| ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV200 ) @ SV214 ) @ SV89 ) )
= $true )
| ( ( SV89 = SV41 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1624]) ).
thf(1651,plain,
! [SV127: $i,SV172: $i,SV44: $i,SV92: $i,SV155: $i] :
( ( ( SV155 = SV92 )
= $true )
| ( ( ~ ( ~ ( ( SV155 != SV92 ) )
| ( ( hAPP_l207779698on_val @ SV44 @ SV155 )
!= ( hAPP_val_option_val @ some_val @ SV172 ) ) ) )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV44 @ SV92 @ ( hAPP_val_option_val @ some_val @ SV127 ) ) @ SV155 )
= ( hAPP_val_option_val @ some_val @ SV172 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1625]) ).
thf(1652,plain,
! [SV44: $i,SV92: $i,SV155: $i,SV172: $i,SV127: $i] :
( ( ( SV127 = SV172 )
= $true )
| ( ( ~ ( ~ ( ( SV155 != SV92 ) )
| ( ( hAPP_l207779698on_val @ SV44 @ SV155 )
!= ( hAPP_val_option_val @ some_val @ SV172 ) ) ) )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV44 @ SV92 @ ( hAPP_val_option_val @ some_val @ SV127 ) ) @ SV155 )
= ( hAPP_val_option_val @ some_val @ SV172 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1626]) ).
thf(1653,plain,
! [SV44: $i,SV172: $i,SV127: $i,SV92: $i,SV155: $i] :
( ( ( SV155 = SV92 )
= $false )
| ( ( SV127 != SV172 )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV44 @ SV92 @ ( hAPP_val_option_val @ some_val @ SV127 ) ) @ SV155 )
= ( hAPP_val_option_val @ some_val @ SV172 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1627]) ).
thf(1654,plain,
! [SV127: $i,SV172: $i,SV44: $i,SV92: $i,SV155: $i] :
( ( ( SV155 != SV92 )
= $false )
| ( ( ( hAPP_l207779698on_val @ SV44 @ SV155 )
!= ( hAPP_val_option_val @ some_val @ SV172 ) )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV44 @ SV92 @ ( hAPP_val_option_val @ some_val @ SV127 ) ) @ SV155 )
= ( hAPP_val_option_val @ some_val @ SV172 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1628]) ).
thf(1655,plain,
! [SV94: $i,SV48: $i] :
( ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK44_SY547 @ SV48 @ SV94 ) ) @ ( sK47_SY737 @ SV94 @ SV48 ) ) @ SV94 ) )
= $true )
| ( ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK44_SY547 @ SV48 @ SV94 ) ) @ ( sK47_SY737 @ SV94 @ SV48 ) ) @ SV48 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK44_SY547 @ SV48 @ SV94 ) ) @ ( sK47_SY737 @ SV94 @ SV48 ) ) @ SV94 ) ) ) )
= $true )
| ( ( SV94 = SV48 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1629]) ).
thf(1656,plain,
! [SV94: $i,SV48: $i] :
( ( ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK44_SY547 @ SV48 @ SV94 ) ) @ ( sK47_SY737 @ SV94 @ SV48 ) ) @ SV48 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK44_SY547 @ SV48 @ SV94 ) ) @ ( sK47_SY737 @ SV94 @ SV48 ) ) @ SV94 ) ) )
= $false )
| ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK44_SY547 @ SV48 @ SV94 ) ) @ ( sK47_SY737 @ SV94 @ SV48 ) ) @ SV48 ) )
= $false )
| ( ( SV94 = SV48 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1630]) ).
thf(1657,plain,
! [SV48: $i,SV94: $i,SV215: $i,SV202: $i] :
( ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV202 ) @ SV215 ) @ SV94 ) )
= $false )
| ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV202 ) @ SV215 ) @ SV48 ) )
= $true )
| ( ( SV94 = SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1631]) ).
thf(1658,plain,
! [SV94: $i,SV48: $i,SV215: $i,SV202: $i] :
( ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV202 ) @ SV215 ) @ SV48 ) )
= $false )
| ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV202 ) @ SV215 ) @ SV94 ) )
= $true )
| ( ( SV94 = SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1632]) ).
thf(1659,plain,
! [SV203: $i,SV55: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV55 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK49_SY438 @ SV203 @ SV55 ) ) @ ( sK53_SY742 @ SV203 @ SV55 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV55 @ SV203 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1634]) ).
thf(1660,plain,
! [SV204: $i,SV217: $i,SV55: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV55 @ ( sK54_SY442 @ SV217 @ SV204 @ SV55 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV55 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV204 ) @ SV217 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1635]) ).
thf(1661,plain,
! [SV205: $i,SV60: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV60 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK50_SY459 @ SV205 @ SV60 ) ) @ ( sK55_SY743 @ SV205 @ SV60 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV60 @ SV205 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1636]) ).
thf(1662,plain,
! [SV206: $i,SV218: $i,SV60: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV60 @ ( sK56_SY463 @ SV218 @ SV206 @ SV60 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV60 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV206 ) @ SV218 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1637]) ).
thf(1663,plain,
! [SV71: $i,SV12: $i] :
( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK38_SY480 @ SV12 @ SV71 ) ) @ ( sK45_SY729 @ SV71 @ SV12 ) ) @ SV12 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK38_SY480 @ SV12 @ SV71 ) ) @ ( sK45_SY729 @ SV71 @ SV12 ) ) @ SV71 ) ) )
= $false )
| ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK38_SY480 @ SV12 @ SV71 ) ) @ ( sK45_SY729 @ SV71 @ SV12 ) ) @ SV71 ) )
= $true )
| ( ( SV71 = SV12 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1638]) ).
thf(1664,plain,
! [SV71: $i,SV12: $i] :
( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK38_SY480 @ SV12 @ SV71 ) ) @ ( sK45_SY729 @ SV71 @ SV12 ) ) @ SV12 ) ) )
= $false )
| ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK38_SY480 @ SV12 @ SV71 ) ) @ ( sK45_SY729 @ SV71 @ SV12 ) ) @ SV12 ) )
= $false )
| ( ( SV71 = SV12 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1639]) ).
thf(1665,plain,
! [SV71: $i,SV12: $i] :
( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK38_SY480 @ SV12 @ SV71 ) ) @ ( sK45_SY729 @ SV71 @ SV12 ) ) @ SV71 ) )
= $false )
| ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK38_SY480 @ SV12 @ SV71 ) ) @ ( sK45_SY729 @ SV71 @ SV12 ) ) @ SV12 ) )
= $false )
| ( ( SV71 = SV12 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1639]) ).
thf(1666,plain,
! [SV195: $i,SV19: $i] :
( ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV19 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK48_SY308 @ SV195 @ SV19 ) ) @ ( sK51_SY741 @ SV195 @ SV19 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV19 @ SV195 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1642]) ).
thf(1667,plain,
! [SV196: $i,SV216: $i,SV19: $i] :
( ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV19 @ ( sK52_SY312 @ SV216 @ SV196 @ SV19 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV19 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV196 ) @ SV216 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1643]) ).
thf(1668,plain,
! [SV27: $i,SV81: $i] :
( ( ( hBOOL @ SV81 )
= $true )
| ( ( hBOOL @ SV27 )
= $true )
| ( ( ( bool @ SV27 )
= ( bool @ SV81 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1644]) ).
thf(1669,plain,
! [SV89: $i,SV41: $i] :
( ( ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK43_SY530 @ SV41 @ SV89 ) ) @ ( sK46_SY735 @ SV89 @ SV41 ) ) @ SV41 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK43_SY530 @ SV41 @ SV89 ) ) @ ( sK46_SY735 @ SV89 @ SV41 ) ) @ SV89 ) ) )
= $false )
| ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK43_SY530 @ SV41 @ SV89 ) ) @ ( sK46_SY735 @ SV89 @ SV41 ) ) @ SV89 ) )
= $true )
| ( ( SV89 = SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1647]) ).
thf(1670,plain,
! [SV89: $i,SV41: $i] :
( ( ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK43_SY530 @ SV41 @ SV89 ) ) @ ( sK46_SY735 @ SV89 @ SV41 ) ) @ SV41 ) ) )
= $false )
| ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK43_SY530 @ SV41 @ SV89 ) ) @ ( sK46_SY735 @ SV89 @ SV41 ) ) @ SV41 ) )
= $false )
| ( ( SV89 = SV41 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1648]) ).
thf(1671,plain,
! [SV89: $i,SV41: $i] :
( ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK43_SY530 @ SV41 @ SV89 ) ) @ ( sK46_SY735 @ SV89 @ SV41 ) ) @ SV89 ) )
= $false )
| ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK43_SY530 @ SV41 @ SV89 ) ) @ ( sK46_SY735 @ SV89 @ SV41 ) ) @ SV41 ) )
= $false )
| ( ( SV89 = SV41 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1648]) ).
thf(1672,plain,
! [SV127: $i,SV172: $i,SV44: $i,SV92: $i,SV155: $i] :
( ( ( ~ ( ( SV155 != SV92 ) )
| ( ( hAPP_l207779698on_val @ SV44 @ SV155 )
!= ( hAPP_val_option_val @ some_val @ SV172 ) ) )
= $false )
| ( ( SV155 = SV92 )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV44 @ SV92 @ ( hAPP_val_option_val @ some_val @ SV127 ) ) @ SV155 )
= ( hAPP_val_option_val @ some_val @ SV172 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1651]) ).
thf(1673,plain,
! [SV127: $i,SV172: $i,SV44: $i,SV92: $i,SV155: $i] :
( ( ( ~ ( ( SV155 != SV92 ) )
| ( ( hAPP_l207779698on_val @ SV44 @ SV155 )
!= ( hAPP_val_option_val @ some_val @ SV172 ) ) )
= $false )
| ( ( SV127 = SV172 )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV44 @ SV92 @ ( hAPP_val_option_val @ some_val @ SV127 ) ) @ SV155 )
= ( hAPP_val_option_val @ some_val @ SV172 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1652]) ).
thf(1674,plain,
! [SV44: $i,SV92: $i,SV155: $i,SV172: $i,SV127: $i] :
( ( ( SV127 = SV172 )
= $false )
| ( ( SV155 = SV92 )
= $false )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV44 @ SV92 @ ( hAPP_val_option_val @ some_val @ SV127 ) ) @ SV155 )
= ( hAPP_val_option_val @ some_val @ SV172 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1653]) ).
thf(1675,plain,
! [SV127: $i,SV172: $i,SV44: $i,SV92: $i,SV155: $i] :
( ( ( SV155 = SV92 )
= $true )
| ( ( ( hAPP_l207779698on_val @ SV44 @ SV155 )
!= ( hAPP_val_option_val @ some_val @ SV172 ) )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV44 @ SV92 @ ( hAPP_val_option_val @ some_val @ SV127 ) ) @ SV155 )
= ( hAPP_val_option_val @ some_val @ SV172 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1654]) ).
thf(1676,plain,
! [SV94: $i,SV48: $i] :
( ( ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK44_SY547 @ SV48 @ SV94 ) ) @ ( sK47_SY737 @ SV94 @ SV48 ) ) @ SV48 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK44_SY547 @ SV48 @ SV94 ) ) @ ( sK47_SY737 @ SV94 @ SV48 ) ) @ SV94 ) ) )
= $false )
| ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK44_SY547 @ SV48 @ SV94 ) ) @ ( sK47_SY737 @ SV94 @ SV48 ) ) @ SV94 ) )
= $true )
| ( ( SV94 = SV48 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1655]) ).
thf(1677,plain,
! [SV94: $i,SV48: $i] :
( ( ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK44_SY547 @ SV48 @ SV94 ) ) @ ( sK47_SY737 @ SV94 @ SV48 ) ) @ SV48 ) ) )
= $false )
| ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK44_SY547 @ SV48 @ SV94 ) ) @ ( sK47_SY737 @ SV94 @ SV48 ) ) @ SV48 ) )
= $false )
| ( ( SV94 = SV48 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1656]) ).
thf(1678,plain,
! [SV94: $i,SV48: $i] :
( ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK44_SY547 @ SV48 @ SV94 ) ) @ ( sK47_SY737 @ SV94 @ SV48 ) ) @ SV94 ) )
= $false )
| ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK44_SY547 @ SV48 @ SV94 ) ) @ ( sK47_SY737 @ SV94 @ SV48 ) ) @ SV48 ) )
= $false )
| ( ( SV94 = SV48 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1656]) ).
thf(1679,plain,
! [SV203: $i,SV55: $i] :
( ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV55 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK49_SY438 @ SV203 @ SV55 ) ) @ ( sK53_SY742 @ SV203 @ SV55 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV55 @ SV203 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1659]) ).
thf(1680,plain,
! [SV204: $i,SV217: $i,SV55: $i] :
( ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV55 @ ( sK54_SY442 @ SV217 @ SV204 @ SV55 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV55 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV204 ) @ SV217 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1660]) ).
thf(1681,plain,
! [SV205: $i,SV60: $i] :
( ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV60 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK50_SY459 @ SV205 @ SV60 ) ) @ ( sK55_SY743 @ SV205 @ SV60 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV60 @ SV205 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1661]) ).
thf(1682,plain,
! [SV206: $i,SV218: $i,SV60: $i] :
( ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV60 @ ( sK56_SY463 @ SV218 @ SV206 @ SV60 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV60 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV206 ) @ SV218 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1662]) ).
thf(1683,plain,
! [SV71: $i,SV12: $i] :
( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK38_SY480 @ SV12 @ SV71 ) ) @ ( sK45_SY729 @ SV71 @ SV12 ) ) @ SV12 ) ) )
= $false )
| ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK38_SY480 @ SV12 @ SV71 ) ) @ ( sK45_SY729 @ SV71 @ SV12 ) ) @ SV71 ) )
= $true )
| ( ( SV71 = SV12 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1663]) ).
thf(1684,plain,
! [SV71: $i,SV12: $i] :
( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK38_SY480 @ SV12 @ SV71 ) ) @ ( sK45_SY729 @ SV71 @ SV12 ) ) @ SV71 ) )
= $false )
| ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK38_SY480 @ SV12 @ SV71 ) ) @ ( sK45_SY729 @ SV71 @ SV12 ) ) @ SV71 ) )
= $true )
| ( ( SV71 = SV12 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1663]) ).
thf(1685,plain,
! [SV71: $i,SV12: $i] :
( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK38_SY480 @ SV12 @ SV71 ) ) @ ( sK45_SY729 @ SV71 @ SV12 ) ) @ SV12 ) )
= $true )
| ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK38_SY480 @ SV12 @ SV71 ) ) @ ( sK45_SY729 @ SV71 @ SV12 ) ) @ SV12 ) )
= $false )
| ( ( SV71 = SV12 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1664]) ).
thf(1686,plain,
! [SV89: $i,SV41: $i] :
( ( ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK43_SY530 @ SV41 @ SV89 ) ) @ ( sK46_SY735 @ SV89 @ SV41 ) ) @ SV41 ) ) )
= $false )
| ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK43_SY530 @ SV41 @ SV89 ) ) @ ( sK46_SY735 @ SV89 @ SV41 ) ) @ SV89 ) )
= $true )
| ( ( SV89 = SV41 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1669]) ).
thf(1687,plain,
! [SV89: $i,SV41: $i] :
( ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK43_SY530 @ SV41 @ SV89 ) ) @ ( sK46_SY735 @ SV89 @ SV41 ) ) @ SV89 ) )
= $false )
| ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK43_SY530 @ SV41 @ SV89 ) ) @ ( sK46_SY735 @ SV89 @ SV41 ) ) @ SV89 ) )
= $true )
| ( ( SV89 = SV41 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1669]) ).
thf(1688,plain,
! [SV89: $i,SV41: $i] :
( ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK43_SY530 @ SV41 @ SV89 ) ) @ ( sK46_SY735 @ SV89 @ SV41 ) ) @ SV41 ) )
= $true )
| ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK43_SY530 @ SV41 @ SV89 ) ) @ ( sK46_SY735 @ SV89 @ SV41 ) ) @ SV41 ) )
= $false )
| ( ( SV89 = SV41 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1670]) ).
thf(1689,plain,
! [SV172: $i,SV127: $i,SV44: $i,SV92: $i,SV155: $i] :
( ( ( ~ ( ( SV155 != SV92 ) ) )
= $false )
| ( ( SV155 = SV92 )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV44 @ SV92 @ ( hAPP_val_option_val @ some_val @ SV127 ) ) @ SV155 )
= ( hAPP_val_option_val @ some_val @ SV172 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1672]) ).
thf(1690,plain,
! [SV127: $i,SV92: $i,SV172: $i,SV155: $i,SV44: $i] :
( ( ( ( hAPP_l207779698on_val @ SV44 @ SV155 )
!= ( hAPP_val_option_val @ some_val @ SV172 ) )
= $false )
| ( ( SV155 = SV92 )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV44 @ SV92 @ ( hAPP_val_option_val @ some_val @ SV127 ) ) @ SV155 )
= ( hAPP_val_option_val @ some_val @ SV172 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1672]) ).
thf(1691,plain,
! [SV44: $i,SV172: $i,SV127: $i,SV92: $i,SV155: $i] :
( ( ( ~ ( ( SV155 != SV92 ) ) )
= $false )
| ( ( SV127 = SV172 )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV44 @ SV92 @ ( hAPP_val_option_val @ some_val @ SV127 ) ) @ SV155 )
= ( hAPP_val_option_val @ some_val @ SV172 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1673]) ).
thf(1692,plain,
! [SV92: $i,SV127: $i,SV172: $i,SV155: $i,SV44: $i] :
( ( ( ( hAPP_l207779698on_val @ SV44 @ SV155 )
!= ( hAPP_val_option_val @ some_val @ SV172 ) )
= $false )
| ( ( SV127 = SV172 )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV44 @ SV92 @ ( hAPP_val_option_val @ some_val @ SV127 ) ) @ SV155 )
= ( hAPP_val_option_val @ some_val @ SV172 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1673]) ).
thf(1693,plain,
! [SV127: $i,SV92: $i,SV172: $i,SV155: $i,SV44: $i] :
( ( ( ( hAPP_l207779698on_val @ SV44 @ SV155 )
= ( hAPP_val_option_val @ some_val @ SV172 ) )
= $false )
| ( ( SV155 = SV92 )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV44 @ SV92 @ ( hAPP_val_option_val @ some_val @ SV127 ) ) @ SV155 )
= ( hAPP_val_option_val @ some_val @ SV172 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1675]) ).
thf(1694,plain,
! [SV94: $i,SV48: $i] :
( ( ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK44_SY547 @ SV48 @ SV94 ) ) @ ( sK47_SY737 @ SV94 @ SV48 ) ) @ SV48 ) ) )
= $false )
| ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK44_SY547 @ SV48 @ SV94 ) ) @ ( sK47_SY737 @ SV94 @ SV48 ) ) @ SV94 ) )
= $true )
| ( ( SV94 = SV48 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1676]) ).
thf(1695,plain,
! [SV94: $i,SV48: $i] :
( ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK44_SY547 @ SV48 @ SV94 ) ) @ ( sK47_SY737 @ SV94 @ SV48 ) ) @ SV94 ) )
= $false )
| ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK44_SY547 @ SV48 @ SV94 ) ) @ ( sK47_SY737 @ SV94 @ SV48 ) ) @ SV94 ) )
= $true )
| ( ( SV94 = SV48 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1676]) ).
thf(1696,plain,
! [SV94: $i,SV48: $i] :
( ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK44_SY547 @ SV48 @ SV94 ) ) @ ( sK47_SY737 @ SV94 @ SV48 ) ) @ SV48 ) )
= $true )
| ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK44_SY547 @ SV48 @ SV94 ) ) @ ( sK47_SY737 @ SV94 @ SV48 ) ) @ SV48 ) )
= $false )
| ( ( SV94 = SV48 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1677]) ).
thf(1697,plain,
! [SV71: $i,SV12: $i] :
( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK38_SY480 @ SV12 @ SV71 ) ) @ ( sK45_SY729 @ SV71 @ SV12 ) ) @ SV12 ) )
= $true )
| ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK38_SY480 @ SV12 @ SV71 ) ) @ ( sK45_SY729 @ SV71 @ SV12 ) ) @ SV71 ) )
= $true )
| ( ( SV71 = SV12 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1683]) ).
thf(1698,plain,
! [SV89: $i,SV41: $i] :
( ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK43_SY530 @ SV41 @ SV89 ) ) @ ( sK46_SY735 @ SV89 @ SV41 ) ) @ SV41 ) )
= $true )
| ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK43_SY530 @ SV41 @ SV89 ) ) @ ( sK46_SY735 @ SV89 @ SV41 ) ) @ SV89 ) )
= $true )
| ( ( SV89 = SV41 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1686]) ).
thf(1699,plain,
! [SV172: $i,SV127: $i,SV44: $i,SV92: $i,SV155: $i] :
( ( ( SV155 != SV92 )
= $true )
| ( ( SV155 = SV92 )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV44 @ SV92 @ ( hAPP_val_option_val @ some_val @ SV127 ) ) @ SV155 )
= ( hAPP_val_option_val @ some_val @ SV172 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1689]) ).
thf(1700,plain,
! [SV127: $i,SV92: $i,SV172: $i,SV155: $i,SV44: $i] :
( ( ( ( hAPP_l207779698on_val @ SV44 @ SV155 )
= ( hAPP_val_option_val @ some_val @ SV172 ) )
= $true )
| ( ( SV155 = SV92 )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV44 @ SV92 @ ( hAPP_val_option_val @ some_val @ SV127 ) ) @ SV155 )
= ( hAPP_val_option_val @ some_val @ SV172 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1690]) ).
thf(1701,plain,
! [SV44: $i,SV172: $i,SV127: $i,SV92: $i,SV155: $i] :
( ( ( SV155 != SV92 )
= $true )
| ( ( SV127 = SV172 )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV44 @ SV92 @ ( hAPP_val_option_val @ some_val @ SV127 ) ) @ SV155 )
= ( hAPP_val_option_val @ some_val @ SV172 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1691]) ).
thf(1702,plain,
! [SV92: $i,SV127: $i,SV172: $i,SV155: $i,SV44: $i] :
( ( ( ( hAPP_l207779698on_val @ SV44 @ SV155 )
= ( hAPP_val_option_val @ some_val @ SV172 ) )
= $true )
| ( ( SV127 = SV172 )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV44 @ SV92 @ ( hAPP_val_option_val @ some_val @ SV127 ) ) @ SV155 )
= ( hAPP_val_option_val @ some_val @ SV172 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1692]) ).
thf(1703,plain,
! [SV94: $i,SV48: $i] :
( ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK44_SY547 @ SV48 @ SV94 ) ) @ ( sK47_SY737 @ SV94 @ SV48 ) ) @ SV48 ) )
= $true )
| ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK44_SY547 @ SV48 @ SV94 ) ) @ ( sK47_SY737 @ SV94 @ SV48 ) ) @ SV94 ) )
= $true )
| ( ( SV94 = SV48 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1694]) ).
thf(1704,plain,
! [SV172: $i,SV127: $i,SV44: $i,SV92: $i,SV155: $i] :
( ( ( SV155 = SV92 )
= $false )
| ( ( SV155 = SV92 )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV44 @ SV92 @ ( hAPP_val_option_val @ some_val @ SV127 ) ) @ SV155 )
= ( hAPP_val_option_val @ some_val @ SV172 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1699]) ).
thf(1705,plain,
! [SV44: $i,SV172: $i,SV127: $i,SV92: $i,SV155: $i] :
( ( ( SV155 = SV92 )
= $false )
| ( ( SV127 = SV172 )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV44 @ SV92 @ ( hAPP_val_option_val @ some_val @ SV127 ) ) @ SV155 )
= ( hAPP_val_option_val @ some_val @ SV172 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1701]) ).
thf(1706,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[872,1705,1704,1703,1702,1700,1698,1697,1696,1695,1693,1688,1687,1685,1684,1682,1681,1680,1679,1678,1674,1671,1668,1667,1666,1665,1658,1657,1650,1649,1646,1645,1641,1640,1633,1620,1619,1614,1604,1603,1592,1591,1588,1587,1583,1582,1545,1540,1535,1530,1522,1516,1515,1509,1501,1500,1499,1498,1494,1493,1489,1488,1487,1486,1480,1479,1478,1475,1467,1464,1459,1458,1452,1451,1444,1438,1420,1419,1412,1411,1410,1397,1390,1389,1379,1376,1363,1362,1341,1323,1281,1273,1268,1264,1255,1250,1246,1241,1170,1169,1110,1107,1052,1049,1048,995,994,992]) ).
thf(1707,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[1706]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW478+2 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.18 % Computer : n014.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Oct 6 16:59:26 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.13/2.08 ......
% 11.13/2.08
% 11.13/2.08 No.of.Axioms: 62
% 11.13/2.08
% 11.13/2.08 Length.of.Defs: 0
% 11.13/2.08
% 11.13/2.08 Contains.Choice.Funs: false
% 11.13/2.08 ........................................................
% 11.13/2.08
% 11.13/2.08 ********************************
% 11.13/2.08 * All subproblems solved! *
% 11.13/2.08 ********************************
% 11.13/2.08 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:62,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:1706,loop_count:0,foatp_calls:1,translation:fof_full)
% 11.13/2.08
% 11.13/2.08 %**** Beginning of derivation protocol ****
% 11.13/2.08 % SZS output start CNFRefutation
% See solution above
% 11.13/2.09
% 11.13/2.09 %**** End of derivation protocol ****
% 11.13/2.09 %**** no. of clauses in derivation: 965 ****
% 11.13/2.09 %**** clause counter: 1706 ****
% 11.13/2.09
% 11.13/2.09 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:62,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:1706,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------