%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWW478+3 : TPTP v8.1.2. Released v5.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 00:21:20 EDT 2023

% Result   : Theorem 0.68s 1.55s
% Output   : Proof 0.68s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.31  % Problem    : SWW478+3 : TPTP v8.1.2. Released v5.3.0.
% 0.31/0.32  % Command    : do_cvc5 %s %d
% 0.32/0.52  % Computer : n020.cluster.edu
% 0.32/0.52  % Model    : x86_64 x86_64
% 0.32/0.52  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.32/0.52  % Memory   : 8042.1875MB
% 0.32/0.52  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.32/0.52  % CPULimit   : 300
% 0.32/0.52  % WCLimit    : 300
% 0.32/0.52  % DateTime   : Sun Aug 27 17:59:14 EDT 2023
% 0.32/0.53  % CPUTime    : 
% 0.37/0.83  %----Proving TF0_NAR, FOF, or CNF
% 0.68/1.55  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.PM1WX674Hf/cvc5---1.0.5_19179.p...
% 0.68/1.55  ------- get file name : TPTP file name is SWW478+3
% 0.68/1.55  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_19179.smt2...
% 0.68/1.55  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.68/1.55  % SZS status Theorem for SWW478+3
% 0.68/1.55  % SZS output start Proof for SWW478+3
% 0.68/1.55  (
% 0.68/1.55  (let ((_let_1 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val tptp.ha))) (let ((_let_2 (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val tptp.ea) (tptp.hAPP_f1727192346on_val _let_1 (tptp.fun_up1149430426on_val tptp.la tptp.v_1 (tptp.hAPP_val_option_val tptp.some_val tptp.v))))) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val tptp.e_a) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val tptp.h_a) tptp.l_a)))) (tptp.red tptp.p))))) (let ((_let_3 (not _let_2))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (ASSUME :args (_let_3)) (ASSUME :args (_let_2)) :args (false false _let_2)) :args ((forall ((B_1_1 $$unsorted)) (tptp.is_bool (tptp.final_list_char B_1_1))) (forall ((B_1_1 $$unsorted)) (tptp.is_bool (tptp.finals_list_char B_1_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted) (B_3_1 $$unsorted) (B_4_1 $$unsorted)) (tptp.is_bool (tptp.conf_P373316194t_char B_1_1 B_2_1 B_3_1 B_4_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.d_list_char B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted)) (tptp.is_bool (tptp.preallocated B_1_1))) (tptp.is_bop tptp.add) (tptp.is_bop tptp.c_Expr_Obop_OEq) (tptp.is_bop (tptp.undefined_bop tptp.bop)) (forall ((B_1_1 $$unsorted)) (tptp.is_bool (tptp.distinct_list_char B_1_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted) (B_3_1 $$unsorted)) (tptp.is_bool (tptp.list_all2_ty_ty B_1_1 B_2_1 B_3_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hext B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted) (B_3_1 $$unsorted) (B_4_1 $$unsorted) (B_5_1 $$unsorted)) (tptp.is_bool (tptp.wTrt B_1_1 B_2_1 B_3_1 B_4_1 B_5_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted) (B_3_1 $$unsorted) (B_4_1 $$unsorted) (B_5_1 $$unsorted)) (tptp.is_bool (tptp.wTrts B_1_1 B_2_1 B_3_1 B_4_1 B_5_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.assigned B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted) (B_3_1 $$unsorted)) (tptp.is_bool (tptp.fields1147507508t_char B_1_1 B_2_1 B_3_1))) (forall ((B_1_1 $$unsorted)) (tptp.is_bool (tptp.is_refT B_1_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.wf_pro755087577t_char B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted) (B_3_1 $$unsorted) (B_4_1 $$unsorted) (B_5_1 $$unsorted)) (tptp.is_bool (tptp.wTrt_1 B_1_1 B_2_1 B_3_1 B_4_1 B_5_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted) (B_3_1 $$unsorted) (B_4_1 $$unsorted) (B_5_1 $$unsorted)) (tptp.is_bool (tptp.wTrts_1 B_1_1 B_2_1 B_3_1 B_4_1 B_5_1))) (tptp.is_bool tptp.fFalse) (tptp.is_bool tptp.fTrue) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_e544220455r_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_bool B_2_1) (tptp.is_bool (tptp.hAPP_bool_bool B_1_1 B_2_1)))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_list_char_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_l902158906r_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_nat_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_option_ty_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_option_val_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_o2007402111l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_ty_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_val_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f1776070952l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f570766339l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f2041029616l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f539072365l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f998390560l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f986089162l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f1001225811y_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f1033709212l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f1776419603l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f678833350l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f1795246582l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f1931964053l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f1520735791l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f1889282162l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f1118567467l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f1409772418l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f54304608l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f61040418l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f2071159779l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f1450446905l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun1083000568p_bool B_2_1) (tptp.is_bool (tptp.hAPP_f1854361213l_bool B_1_1 B_2_1)))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f742333458l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f588675559l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f91506671l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f434955681l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f1734260017l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f837795298l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f861853459l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f82569901l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f479632753l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f1780084320l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f2106398425l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f1715346603l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f1134950784l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f515912112l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f483496539l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f2050077417l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f433445541l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f1746574980l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f1314764175l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f348753975l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f288221747l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f1161798306l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f1748390065l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f2028441009l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f1661305905l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f966411375l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f1754555101l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f983152497l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f126136681l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f1453283057l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f458849545l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f595031537l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f528956081l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f851858423l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f665343921l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f538118321l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f272179441l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f258424141l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f1145574243l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f126445617l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f2129782055l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f1297673713l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f1261741735l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f1980787287l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_fun1083000568p_bool B_1_1) (tptp.is_bool (tptp.hAPP_P1085566419p_bool B_1_1 B_2_1)))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_P943837928l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_P1632759357r_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_P1708370145l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_P499022727r_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_P71593144l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_P2014166431r_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_P476431815r_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_P92196306r_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_P449474095r_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_P748443392y_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_P1235399154l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_P1680401186r_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_P1384137393r_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_P659547099r_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_P1574824955y_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_P1907982426r_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_P1187139874r_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_P2118621157r_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_P2115985549l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_P2053453961y_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_P828904212r_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_P1926698759r_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_P929938951l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_P468446343l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_P159683425l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_P2077557811l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_P504978887l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_P738987199l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_P282169671l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_P1333315679l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_P1002912327r_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_P824029447r_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_P27757617y_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_P2010574925r_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_P124632071l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_P975284999r_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_P929449287r_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_P1240100515r_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_P1183499705r_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_P801803911r_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_P2123002749l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_P1221872711l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_P378063101l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_P2028072621l_bool B_1_1 B_2_1))) (= (tptp.hAPP_l207779698on_val tptp.l_a tptp.v_1) (tptp.hAPP_val_option_val tptp.some_val tptp.v_2)) _let_2 (forall ((F_1 $$unsorted) (X_2 $$unsorted)) (= (tptp.fun_up1149430426on_val F_1 X_2 (tptp.hAPP_l207779698on_val F_1 X_2)) F_1)) (forall ((F_1 $$unsorted) (X_2 $$unsorted)) (= (tptp.fun_up424764369ion_ty F_1 X_2 (tptp.hAPP_l512744617ion_ty F_1 X_2)) F_1)) (forall ((F_1 $$unsorted) (X_2 $$unsorted)) (= (tptp.fun_up2041264236on_val F_1 X_2 (tptp.hAPP_n546249108on_val F_1 X_2)) F_1)) (forall ((F_1 $$unsorted) (X_2 $$unsorted)) (= (tptp.fun_up204312361on_val F_1 X_2 (tptp.hAPP_P2094403585on_val F_1 X_2)) F_1)) (tptp.hBOOL (tptp.wf_pro755087577t_char tptp.wf_J_mdecl tptp.p)) (forall ((M_1 $$unsorted) (A $$unsorted) (B $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_val_option_val tptp.some_val Y_2))) (let ((_let_2 (= X_2 A))) (= (= (tptp.hAPP_l207779698on_val (tptp.fun_up1149430426on_val M_1 A (tptp.hAPP_val_option_val tptp.some_val B)) X_2) _let_1) (or (and _let_2 (= B Y_2)) (and (not _let_2) (= (tptp.hAPP_l207779698on_val M_1 X_2) _let_1))))))) (forall ((M_1 $$unsorted) (A $$unsorted) (B $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_ty_option_ty tptp.some_ty Y_2))) (let ((_let_2 (= X_2 A))) (= (= (tptp.hAPP_l512744617ion_ty (tptp.fun_up424764369ion_ty M_1 A (tptp.hAPP_ty_option_ty tptp.some_ty B)) X_2) _let_1) (or (and _let_2 (= B Y_2)) (and (not _let_2) (= (tptp.hAPP_l512744617ion_ty M_1 X_2) _let_1))))))) (forall ((M_1 $$unsorted) (A $$unsorted) (B $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val Y_2))) (let ((_let_2 (= X_2 A))) (= (= (tptp.hAPP_n546249108on_val (tptp.fun_up2041264236on_val M_1 A (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val B)) X_2) _let_1) (or (and _let_2 (= B Y_2)) (and (not _let_2) (= (tptp.hAPP_n546249108on_val M_1 X_2) _let_1))))))) (forall ((M_1 $$unsorted) (A $$unsorted) (B $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_val_option_val tptp.some_val Y_2))) (let ((_let_2 (= X_2 A))) (= (= (tptp.hAPP_P2094403585on_val (tptp.fun_up204312361on_val M_1 A (tptp.hAPP_val_option_val tptp.some_val B)) X_2) _let_1) (or (and _let_2 (= B Y_2)) (and (not _let_2) (= (tptp.hAPP_P2094403585on_val M_1 X_2) _let_1))))))) (forall ((T_2 $$unsorted) (K $$unsorted) (X_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_val_option_val tptp.some_val X_2))) (=> (= (tptp.hAPP_l207779698on_val T_2 K) _let_1) (= (tptp.fun_up1149430426on_val T_2 K _let_1) T_2)))) (forall ((T_2 $$unsorted) (K $$unsorted) (X_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_ty_option_ty tptp.some_ty X_2))) (=> (= (tptp.hAPP_l512744617ion_ty T_2 K) _let_1) (= (tptp.fun_up424764369ion_ty T_2 K _let_1) T_2)))) (forall ((T_2 $$unsorted) (K $$unsorted) (X_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val X_2))) (=> (= (tptp.hAPP_n546249108on_val T_2 K) _let_1) (= (tptp.fun_up2041264236on_val T_2 K _let_1) T_2)))) (forall ((T_2 $$unsorted) (K $$unsorted) (X_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_val_option_val tptp.some_val X_2))) (=> (= (tptp.hAPP_P2094403585on_val T_2 K) _let_1) (= (tptp.fun_up204312361on_val T_2 K _let_1) T_2)))) (forall ((M_1 $$unsorted) (A $$unsorted) (X_2 $$unsorted) (N $$unsorted) (Y_2 $$unsorted)) (=> (= (tptp.fun_up1149430426on_val M_1 A (tptp.hAPP_val_option_val tptp.some_val X_2)) (tptp.fun_up1149430426on_val N A (tptp.hAPP_val_option_val tptp.some_val Y_2))) (= X_2 Y_2))) (forall ((M_1 $$unsorted) (A $$unsorted) (X_2 $$unsorted) (N $$unsorted) (Y_2 $$unsorted)) (=> (= (tptp.fun_up424764369ion_ty M_1 A (tptp.hAPP_ty_option_ty tptp.some_ty X_2)) (tptp.fun_up424764369ion_ty N A (tptp.hAPP_ty_option_ty tptp.some_ty Y_2))) (= X_2 Y_2))) (forall ((M_1 $$unsorted) (A $$unsorted) (X_2 $$unsorted) (N $$unsorted) (Y_2 $$unsorted)) (=> (= (tptp.fun_up2041264236on_val M_1 A (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val X_2)) (tptp.fun_up2041264236on_val N A (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val Y_2))) (= X_2 Y_2))) (forall ((M_1 $$unsorted) (A $$unsorted) (X_2 $$unsorted) (N $$unsorted) (Y_2 $$unsorted)) (=> (= (tptp.fun_up204312361on_val M_1 A (tptp.hAPP_val_option_val tptp.some_val X_2)) (tptp.fun_up204312361on_val N A (tptp.hAPP_val_option_val tptp.some_val Y_2))) (= X_2 Y_2))) (forall ((Ta $$unsorted) (Ea $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.typeSa1700205512_sconf tptp.p Ea) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val tptp.ha) (tptp.fun_up1149430426on_val tptp.la tptp.v_1 (tptp.hAPP_val_option_val tptp.some_val tptp.v))))) (=> (tptp.hBOOL (tptp.wTrt_1 tptp.p tptp.ha Ea tptp.ea Ta)) (exists ((T_5 $$unsorted)) (and (tptp.hBOOL (tptp.wTrt_1 tptp.p tptp.h_a Ea tptp.e_a T_5)) (tptp.hBOOL (tptp.hAPP_ty_bool (tptp.hAPP_ty_fun_ty_bool (tptp.widen_2090681816t_char tptp.p) T_5) Ta))))))) (forall ((X_2 $$unsorted) (Pa $$unsorted)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted) (D_2 $$unsorted) (E_4 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P2028072621l_bool Pa (tptp.hAPP_P1758592847on_val (tptp.hAPP_P2015431471on_val tptp.produc1951691075on_val A_1) (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val B_2) (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val C_4) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val D_2) E_4))))))) (tptp.hBOOL (tptp.hAPP_P2028072621l_bool Pa X_2)))) (forall ((X_2 $$unsorted) (Pa $$unsorted)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted) (D_2 $$unsorted) (E_4 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P378063101l_bool Pa (tptp.hAPP_P1486793863on_val (tptp.hAPP_P2077211775on_val tptp.produc1564932627on_val A_1) (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val B_2) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val C_4) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val D_2) E_4))))))) (tptp.hBOOL (tptp.hAPP_P378063101l_bool Pa X_2)))) (forall ((X_2 $$unsorted) (Pa $$unsorted)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted) (D_2 $$unsorted) (E_4 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P824029447r_bool Pa (tptp.hAPP_P1539798428t_char (tptp.hAPP_P719127871t_char tptp.produc24551831t_char A_1) (tptp.hAPP_P767818445t_char (tptp.hAPP_l1873467853t_char tptp.produc921874948t_char B_2) (tptp.hAPP_P1392904962t_char (tptp.hAPP_l14371579t_char tptp.produc1909267824t_char C_4) (tptp.hAPP_e1752110927t_char (tptp.hAPP_l1859255743t_char tptp.produc1916172923t_char D_2) E_4))))))) (tptp.hBOOL (tptp.hAPP_P824029447r_bool Pa X_2)))) (forall ((X_2 $$unsorted) (Pa $$unsorted)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted) (D_2 $$unsorted) (E_4 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P975284999r_bool Pa (tptp.hAPP_P991802092t_char (tptp.hAPP_P1958775007t_char tptp.produc1641293463t_char A_1) (tptp.hAPP_P1224499548t_char (tptp.hAPP_l902950593t_char tptp.produc822965838t_char B_2) (tptp.hAPP_P1423780764t_char (tptp.hAPP_l309186817t_char tptp.produc1483578759t_char C_4) (tptp.hAPP_l277216047t_char (tptp.hAPP_l352172327t_char tptp.produc1152259904t_char D_2) E_4))))))) (tptp.hBOOL (tptp.hAPP_P975284999r_bool Pa X_2)))) (forall ((X_2 $$unsorted) (Pa $$unsorted)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted) (D_2 $$unsorted) (E_4 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1384137393r_bool Pa (tptp.hAPP_P242904598t_char (tptp.hAPP_l1388836853t_char tptp.produc1331140167t_char A_1) (tptp.hAPP_P976433298t_char (tptp.hAPP_l2048923787t_char tptp.produc2016959032t_char B_2) (tptp.hAPP_P1661798543t_char (tptp.hAPP_t1369077401t_char tptp.produc1545444669t_char C_4) (tptp.hAPP_e952791821t_char (tptp.hAPP_l796364813t_char tptp.produc1147572817t_char D_2) E_4))))))) (tptp.hBOOL (tptp.hAPP_P1384137393r_bool Pa X_2)))) (forall ((Y_2 $$unsorted)) (not (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted) (D_2 $$unsorted) (E_4 $$unsorted)) (not (= Y_2 (tptp.hAPP_P1758592847on_val (tptp.hAPP_P2015431471on_val tptp.produc1951691075on_val A_1) (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val B_2) (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val C_4) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val D_2) E_4))))))))) (forall ((Y_2 $$unsorted)) (not (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted) (D_2 $$unsorted) (E_4 $$unsorted)) (not (= Y_2 (tptp.hAPP_P1486793863on_val (tptp.hAPP_P2077211775on_val tptp.produc1564932627on_val A_1) (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val B_2) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val C_4) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val D_2) E_4))))))))) (forall ((Y_7 $$unsorted)) (not (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted) (D_2 $$unsorted) (E_4 $$unsorted)) (not (= Y_7 (tptp.hAPP_P1539798428t_char (tptp.hAPP_P719127871t_char tptp.produc24551831t_char A_1) (tptp.hAPP_P767818445t_char (tptp.hAPP_l1873467853t_char tptp.produc921874948t_char B_2) (tptp.hAPP_P1392904962t_char (tptp.hAPP_l14371579t_char tptp.produc1909267824t_char C_4) (tptp.hAPP_e1752110927t_char (tptp.hAPP_l1859255743t_char tptp.produc1916172923t_char D_2) E_4))))))))) (forall ((Y_7 $$unsorted)) (not (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted) (D_2 $$unsorted) (E_4 $$unsorted)) (not (= Y_7 (tptp.hAPP_P991802092t_char (tptp.hAPP_P1958775007t_char tptp.produc1641293463t_char A_1) (tptp.hAPP_P1224499548t_char (tptp.hAPP_l902950593t_char tptp.produc822965838t_char B_2) (tptp.hAPP_P1423780764t_char (tptp.hAPP_l309186817t_char tptp.produc1483578759t_char C_4) (tptp.hAPP_l277216047t_char (tptp.hAPP_l352172327t_char tptp.produc1152259904t_char D_2) E_4))))))))) (forall ((Y_7 $$unsorted)) (not (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted) (D_2 $$unsorted) (E_4 $$unsorted)) (not (= Y_7 (tptp.hAPP_P242904598t_char (tptp.hAPP_l1388836853t_char tptp.produc1331140167t_char A_1) (tptp.hAPP_P976433298t_char (tptp.hAPP_l2048923787t_char tptp.produc2016959032t_char B_2) (tptp.hAPP_P1661798543t_char (tptp.hAPP_t1369077401t_char tptp.produc1545444669t_char C_4) (tptp.hAPP_e952791821t_char (tptp.hAPP_l796364813t_char tptp.produc1147572817t_char D_2) E_4))))))))) (forall ((X_2 $$unsorted) (Pa $$unsorted)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted) (D_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1384137393r_bool Pa (tptp.hAPP_P242904598t_char (tptp.hAPP_l1388836853t_char tptp.produc1331140167t_char A_1) (tptp.hAPP_P976433298t_char (tptp.hAPP_l2048923787t_char tptp.produc2016959032t_char B_2) (tptp.hAPP_P1661798543t_char (tptp.hAPP_t1369077401t_char tptp.produc1545444669t_char C_4) D_2)))))) (tptp.hBOOL (tptp.hAPP_P1384137393r_bool Pa X_2)))) (forall ((X_2 $$unsorted) (Pa $$unsorted)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted) (D_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P282169671l_bool Pa (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A_1) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val B_2) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val C_4) D_2)))))) (tptp.hBOOL (tptp.hAPP_P282169671l_bool Pa X_2)))) (forall ((X_2 $$unsorted) (Pa $$unsorted)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted) (D_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1333315679l_bool Pa (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val A_1) (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val B_2) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val C_4) D_2)))))) (tptp.hBOOL (tptp.hAPP_P1333315679l_bool Pa X_2)))) (forall ((X_2 $$unsorted) (Pa $$unsorted)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted) (D_2 $$unsorted)) (tptp.hBOOL 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(tptp.hAPP_P378063101l_bool Pa (tptp.hAPP_P1486793863on_val (tptp.hAPP_P2077211775on_val tptp.produc1564932627on_val A_1) (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val B_2) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val C_4) D_2)))))) (tptp.hBOOL (tptp.hAPP_P378063101l_bool Pa X_2)))) (forall ((X_2 $$unsorted) (Pa $$unsorted)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted) (D_2 $$unsorted)) (=> (tptp.is_bop B_2) (tptp.hBOOL (tptp.hAPP_P738987199l_bool Pa (tptp.hAPP_P2123720426al_val (tptp.hAPP_P1538518401al_val tptp.produc1924279125al_val A_1) (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val B_2) (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val C_4) D_2))))))) (tptp.hBOOL (tptp.hAPP_P738987199l_bool Pa X_2)))) (forall ((X_2 $$unsorted) (Pa $$unsorted)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted) (D_2 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$$unsorted)) (tptp.hBOOL (tptp.hAPP_P1240100515r_bool Pa (tptp.hAPP_P1333668416t_char (tptp.hAPP_P1859316965t_char tptp.produc57279289t_char A_1) (tptp.hAPP_P1392904962t_char (tptp.hAPP_l14371579t_char tptp.produc1909267824t_char B_2) (tptp.hAPP_e1752110927t_char (tptp.hAPP_l1859255743t_char tptp.produc1916172923t_char C_4) D_2)))))) (tptp.hBOOL (tptp.hAPP_P1240100515r_bool Pa X_2)))) (forall ((X_2 $$unsorted) (Pa $$unsorted)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted) (D_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P975284999r_bool Pa (tptp.hAPP_P991802092t_char (tptp.hAPP_P1958775007t_char tptp.produc1641293463t_char A_1) (tptp.hAPP_P1224499548t_char (tptp.hAPP_l902950593t_char tptp.produc822965838t_char B_2) (tptp.hAPP_P1423780764t_char (tptp.hAPP_l309186817t_char tptp.produc1483578759t_char C_4) D_2)))))) (tptp.hBOOL (tptp.hAPP_P975284999r_bool Pa X_2)))) (forall ((X_2 $$unsorted) (Pa $$unsorted)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted) (D_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P929449287r_bool Pa (tptp.hAPP_P579374437t_char (tptp.hAPP_P777914897t_char tptp.produc1431439831t_char A_1) (tptp.hAPP_P1423780764t_char (tptp.hAPP_l309186817t_char tptp.produc1483578759t_char B_2) (tptp.hAPP_l277216047t_char (tptp.hAPP_l352172327t_char tptp.produc1152259904t_char C_4) D_2)))))) (tptp.hBOOL (tptp.hAPP_P929449287r_bool Pa X_2)))) (forall ((Y_6 $$unsorted)) (not (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted) (D_2 $$unsorted)) (not (= Y_6 (tptp.hAPP_P242904598t_char (tptp.hAPP_l1388836853t_char tptp.produc1331140167t_char A_1) (tptp.hAPP_P976433298t_char (tptp.hAPP_l2048923787t_char tptp.produc2016959032t_char B_2) (tptp.hAPP_P1661798543t_char (tptp.hAPP_t1369077401t_char tptp.produc1545444669t_char C_4) D_2)))))))) (forall ((Y_2 $$unsorted)) (not (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted) (D_2 $$unsorted)) (not (= Y_2 (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A_1) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val B_2) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val C_4) D_2)))))))) (forall ((Y_2 $$unsorted)) (not (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted) (D_2 $$unsorted)) (not (= Y_2 (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val A_1) (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val B_2) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val C_4) D_2)))))))) (forall ((Y_6 $$unsorted)) (not (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted) (D_2 $$unsorted)) (not (= Y_6 (tptp.hAPP_P767818445t_char (tptp.hAPP_l1873467853t_char tptp.produc921874948t_char A_1) (tptp.hAPP_P1392904962t_char (tptp.hAPP_l14371579t_char tptp.produc1909267824t_char B_2) (tptp.hAPP_e1752110927t_char (tptp.hAPP_l1859255743t_char tptp.produc1916172923t_char C_4) D_2)))))))) (forall ((Y_6 $$unsorted)) (not (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted) (D_2 $$unsorted)) (not (= Y_6 (tptp.hAPP_P1224499548t_char (tptp.hAPP_l902950593t_char tptp.produc822965838t_char A_1) (tptp.hAPP_P1423780764t_char (tptp.hAPP_l309186817t_char tptp.produc1483578759t_char B_2) (tptp.hAPP_l277216047t_char (tptp.hAPP_l352172327t_char tptp.produc1152259904t_char C_4) D_2)))))))) (forall ((Y_2 $$unsorted)) (not (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted) (D_2 $$unsorted)) (not (= Y_2 (tptp.hAPP_P1486793863on_val (tptp.hAPP_P2077211775on_val tptp.produc1564932627on_val A_1) (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val B_2) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val C_4) D_2)))))))) (forall ((Y_6 $$unsorted)) (not (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted) (D_2 $$unsorted)) (=> (tptp.is_bop B_2) (not (= Y_6 (tptp.hAPP_P2123720426al_val (tptp.hAPP_P1538518401al_val tptp.produc1924279125al_val A_1) (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val B_2) (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val C_4) D_2))))))))) (forall ((Y_2 $$unsorted)) (not (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted) (D_2 $$unsorted)) (not (= Y_2 (tptp.hAPP_P1758592847on_val (tptp.hAPP_P2015431471on_val tptp.produc1951691075on_val A_1) (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val B_2) (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val C_4) D_2)))))))) (forall ((Y_6 $$unsorted)) (not (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted) (D_2 $$unsorted)) (not (= Y_6 (tptp.hAPP_P1539798428t_char (tptp.hAPP_P719127871t_char tptp.produc24551831t_char A_1) (tptp.hAPP_P767818445t_char (tptp.hAPP_l1873467853t_char tptp.produc921874948t_char B_2) (tptp.hAPP_P1392904962t_char (tptp.hAPP_l14371579t_char tptp.produc1909267824t_char C_4) D_2)))))))) (forall ((Y_6 $$unsorted)) (not (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted) (D_2 $$unsorted)) (not (= Y_6 (tptp.hAPP_P1333668416t_char (tptp.hAPP_P1859316965t_char tptp.produc57279289t_char A_1) (tptp.hAPP_P1392904962t_char (tptp.hAPP_l14371579t_char tptp.produc1909267824t_char B_2) (tptp.hAPP_e1752110927t_char (tptp.hAPP_l1859255743t_char tptp.produc1916172923t_char C_4) D_2)))))))) (forall ((Y_6 $$unsorted)) (not (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted) (D_2 $$unsorted)) (not (= Y_6 (tptp.hAPP_P991802092t_char (tptp.hAPP_P1958775007t_char tptp.produc1641293463t_char A_1) (tptp.hAPP_P1224499548t_char (tptp.hAPP_l902950593t_char tptp.produc822965838t_char B_2) (tptp.hAPP_P1423780764t_char (tptp.hAPP_l309186817t_char tptp.produc1483578759t_char C_4) D_2)))))))) (forall ((Y_6 $$unsorted)) (not (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted) (D_2 $$unsorted)) (not (= Y_6 (tptp.hAPP_P579374437t_char (tptp.hAPP_P777914897t_char tptp.produc1431439831t_char A_1) (tptp.hAPP_P1423780764t_char (tptp.hAPP_l309186817t_char tptp.produc1483578759t_char B_2) (tptp.hAPP_l277216047t_char (tptp.hAPP_l352172327t_char tptp.produc1152259904t_char C_4) D_2)))))))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.typeSa1700205512_sconf tptp.p tptp.e) (tptp.hAPP_f1727192346on_val _let_1 tptp.la))) (forall ((A_19 $$unsorted) (B_5 $$unsorted) (A_18 $$unsorted) (B_4 $$unsorted)) (=> (= (tptp.hAPP_t1875766236har_ty (tptp.hAPP_l1948972481har_ty tptp.produc251930284har_ty A_19) B_5) (tptp.hAPP_t1875766236har_ty (tptp.hAPP_l1948972481har_ty tptp.produc251930284har_ty A_18) B_4)) (not (=> (= A_19 A_18) (not (= B_5 B_4)))))) (forall ((A_19 $$unsorted) (B_5 $$unsorted) (A_18 $$unsorted) (B_4 $$unsorted)) (=> (= (tptp.hAPP_t708040077har_ty (tptp.hAPP_P827589667har_ty tptp.produc1265154397har_ty A_19) B_5) (tptp.hAPP_t708040077har_ty (tptp.hAPP_P827589667har_ty tptp.produc1265154397har_ty A_18) B_4)) (not (=> (= A_19 A_18) (not (= B_5 B_4)))))) (forall ((A_19 $$unsorted) (B_5 $$unsorted) (A_18 $$unsorted) (B_4 $$unsorted)) (=> (= (tptp.hAPP_P242904598t_char (tptp.hAPP_l1388836853t_char tptp.produc1331140167t_char A_19) B_5) (tptp.hAPP_P242904598t_char (tptp.hAPP_l1388836853t_char tptp.produc1331140167t_char A_18) B_4)) (not (=> (= A_19 A_18) (not (= B_5 B_4)))))) (forall ((A_19 $$unsorted) (B_5 $$unsorted) (A_18 $$unsorted) (B_4 $$unsorted)) (=> (= (tptp.hAPP_P1342907945t_char (tptp.hAPP_P91410073t_char tptp.produc1897818327t_char A_19) B_5) (tptp.hAPP_P1342907945t_char (tptp.hAPP_P91410073t_char tptp.produc1897818327t_char A_18) B_4)) (not (=> (= A_19 A_18) (not (= B_5 B_4)))))) (forall ((A_19 $$unsorted) (B_5 $$unsorted) (A_18 $$unsorted) (B_4 $$unsorted)) (=> (= (tptp.hAPP_P1247668062t_char (tptp.hAPP_P1756548163t_char tptp.produc635935767t_char A_19) B_5) (tptp.hAPP_P1247668062t_char (tptp.hAPP_P1756548163t_char tptp.produc635935767t_char A_18) B_4)) (not (=> (= A_19 A_18) (not (= B_5 B_4)))))) (forall ((A_19 $$unsorted) (B_5 $$unsorted) (A_18 $$unsorted) (B_4 $$unsorted)) (=> (= (tptp.hAPP_P579374437t_char (tptp.hAPP_P777914897t_char tptp.produc1431439831t_char A_19) B_5) (tptp.hAPP_P579374437t_char (tptp.hAPP_P777914897t_char tptp.produc1431439831t_char A_18) B_4)) (not (=> (= A_19 A_18) (not (= B_5 B_4)))))) (forall ((A_19 $$unsorted) (B_5 $$unsorted) (A_18 $$unsorted) (B_4 $$unsorted)) (=> (= (tptp.hAPP_P991802092t_char (tptp.hAPP_P1958775007t_char tptp.produc1641293463t_char A_19) B_5) (tptp.hAPP_P991802092t_char (tptp.hAPP_P1958775007t_char tptp.produc1641293463t_char A_18) B_4)) (not (=> (= A_19 A_18) (not (= B_5 B_4)))))) (forall ((A_19 $$unsorted) (B_5 $$unsorted) (A_18 $$unsorted) (B_4 $$unsorted)) (=> (= (tptp.hAPP_P1220989409t_char (tptp.hAPP_P1668407995t_char tptp.produc1299387215t_char A_19) B_5) (tptp.hAPP_P1220989409t_char (tptp.hAPP_P1668407995t_char tptp.produc1299387215t_char A_18) B_4)) (not (=> (= A_19 A_18) (not (= B_5 B_4)))))) (forall ((A_19 $$unsorted) (B_5 $$unsorted) (A_18 $$unsorted) (B_4 $$unsorted)) (=> (= (tptp.hAPP_P1333668416t_char (tptp.hAPP_P1859316965t_char tptp.produc57279289t_char A_19) B_5) (tptp.hAPP_P1333668416t_char (tptp.hAPP_P1859316965t_char tptp.produc57279289t_char A_18) B_4)) (not (=> (= A_19 A_18) (not (= B_5 B_4)))))) (forall ((A_19 $$unsorted) (B_5 $$unsorted) (A_18 $$unsorted) (B_4 $$unsorted)) (=> (= (tptp.hAPP_P1539798428t_char (tptp.hAPP_P719127871t_char tptp.produc24551831t_char A_19) B_5) (tptp.hAPP_P1539798428t_char (tptp.hAPP_P719127871t_char tptp.produc24551831t_char A_18) B_4)) (not (=> (= A_19 A_18) (not (= B_5 B_4)))))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted)) (=> (= (tptp.hAPP_P1758592847on_val (tptp.hAPP_P2015431471on_val tptp.produc1951691075on_val A) B) (tptp.hAPP_P1758592847on_val (tptp.hAPP_P2015431471on_val tptp.produc1951691075on_val A_3) B_3)) (not (=> (= A A_3) (not (= B B_3)))))) (forall ((A_19 $$unsorted) (B_5 $$unsorted) (A_18 $$unsorted) (B_4 $$unsorted)) (=> (= (tptp.hAPP_P47773639al_val (tptp.hAPP_P1874979071al_val tptp.produc1244920211al_val A_19) B_5) (tptp.hAPP_P47773639al_val (tptp.hAPP_P1874979071al_val tptp.produc1244920211al_val A_18) B_4)) (not (=> (= A_19 A_18) (not (= B_5 B_4)))))) (forall ((A_19 $$unsorted) (B_5 $$unsorted) (A_18 $$unsorted) (B_4 $$unsorted)) (=> (= (tptp.hAPP_P2123720426al_val (tptp.hAPP_P1538518401al_val tptp.produc1924279125al_val A_19) B_5) (tptp.hAPP_P2123720426al_val (tptp.hAPP_P1538518401al_val tptp.produc1924279125al_val A_18) B_4)) (not (=> (= A_19 A_18) (not (= B_5 B_4)))))) (forall ((A_19 $$unsorted) (B_5 $$unsorted) (A_18 $$unsorted) (B_4 $$unsorted)) (=> (= (tptp.hAPP_P1657265855t_char (tptp.hAPP_P1071727823t_char tptp.produc2080520419t_char A_19) B_5) (tptp.hAPP_P1657265855t_char (tptp.hAPP_P1071727823t_char tptp.produc2080520419t_char A_18) B_4)) (not (=> (= A_19 A_18) (not (= B_5 B_4)))))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted)) (=> (= (tptp.hAPP_P330218428on_val (tptp.hAPP_P1875010047on_val tptp.produc499151895on_val A) B) (tptp.hAPP_P330218428on_val (tptp.hAPP_P1875010047on_val tptp.produc499151895on_val A_3) B_3)) (not (=> (= A A_3) (not (= B B_3)))))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted)) (=> (= (tptp.hAPP_P291613419on_val (tptp.hAPP_P265246237on_val tptp.produc870913623on_val A) B) (tptp.hAPP_P291613419on_val (tptp.hAPP_P265246237on_val tptp.produc870913623on_val A_3) B_3)) (not (=> (= A A_3) (not (= B B_3)))))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted)) (=> (= (tptp.hAPP_P1486793863on_val (tptp.hAPP_P2077211775on_val tptp.produc1564932627on_val A) B) (tptp.hAPP_P1486793863on_val (tptp.hAPP_P2077211775on_val tptp.produc1564932627on_val A_3) B_3)) (not (=> (= A A_3) (not (= B B_3)))))) (forall ((A_19 $$unsorted) (B_5 $$unsorted) (A_18 $$unsorted) (B_4 $$unsorted)) (=> (= (tptp.hAPP_l1648260346t_char (tptp.hAPP_l1105836155t_char tptp.produc1237966615t_char A_19) B_5) (tptp.hAPP_l1648260346t_char (tptp.hAPP_l1105836155t_char tptp.produc1237966615t_char A_18) B_4)) (not (=> (= A_19 A_18) (not (= B_5 B_4)))))) (forall ((A_19 $$unsorted) (B_5 $$unsorted) (A_18 $$unsorted) (B_4 $$unsorted)) (=> (= (tptp.hAPP_e817857447t_char (tptp.hAPP_e1376201919t_char tptp.produc943465171t_char A_19) B_5) (tptp.hAPP_e817857447t_char (tptp.hAPP_e1376201919t_char tptp.produc943465171t_char A_18) B_4)) (not (=> (= A_19 A_18) (not (= B_5 B_4)))))) (forall ((A_19 $$unsorted) (B_5 $$unsorted) (A_18 $$unsorted) (B_4 $$unsorted)) (=> (= (tptp.hAPP_l1883348915t_char (tptp.hAPP_l2019537453t_char tptp.produc2035944023t_char A_19) B_5) (tptp.hAPP_l1883348915t_char (tptp.hAPP_l2019537453t_char tptp.produc2035944023t_char A_18) B_4)) (not (=> (= A_19 A_18) (not (= B_5 B_4)))))) (forall ((A_19 $$unsorted) (B_5 $$unsorted) (A_18 $$unsorted) (B_4 $$unsorted)) (=> (= (tptp.hAPP_l1294856089har_ty (tptp.hAPP_l1657578379har_ty tptp.produc1860789535har_ty A_19) B_5) (tptp.hAPP_l1294856089har_ty (tptp.hAPP_l1657578379har_ty tptp.produc1860789535har_ty A_18) B_4)) (not (=> (= A_19 A_18) (not (= B_5 B_4)))))) (forall ((A_19 $$unsorted) (B_5 $$unsorted) (A_18 $$unsorted) (B_4 $$unsorted)) (=> (= (tptp.hAPP_l1334098948t_char (tptp.hAPP_l1450984463t_char tptp.produc436875159t_char A_19) B_5) (tptp.hAPP_l1334098948t_char (tptp.hAPP_l1450984463t_char tptp.produc436875159t_char A_18) B_4)) (not (=> (= A_19 A_18) (not (= B_5 B_4)))))) (forall ((A_19 $$unsorted) (B_5 $$unsorted) (A_18 $$unsorted) (B_4 $$unsorted)) (=> (= (tptp.hAPP_l1249476511st_val (tptp.hAPP_l103437071st_val tptp.produc2078839843st_val A_19) B_5) (tptp.hAPP_l1249476511st_val (tptp.hAPP_l103437071st_val tptp.produc2078839843st_val A_18) B_4)) (not (=> (= A_19 A_18) (not (= B_5 B_4)))))) (forall ((A_19 $$unsorted) (B_5 $$unsorted) (A_18 $$unsorted) (B_4 $$unsorted)) (=> (= (tptp.hAPP_l1319068228ist_ty (tptp.hAPP_l1770520637ist_ty tptp.produc512429457ist_ty A_19) B_5) (tptp.hAPP_l1319068228ist_ty (tptp.hAPP_l1770520637ist_ty tptp.produc512429457ist_ty A_18) B_4)) (not (=> (= A_19 A_18) (not (= B_5 B_4)))))) (forall ((A_19 $$unsorted) (B_5 $$unsorted) (A_18 $$unsorted) (B_4 $$unsorted)) (=> (and (tptp.is_bop A_19) (tptp.is_bop B_5) (tptp.is_bop A_18) (tptp.is_bop B_4)) (=> (= (tptp.hAPP_b1909667208op_bop (tptp.hAPP_b1058859669op_bop tptp.product_Pair_bop_bop A_19) B_5) (tptp.hAPP_b1909667208op_bop (tptp.hAPP_b1058859669op_bop tptp.product_Pair_bop_bop A_18) B_4)) (not (=> (= A_19 A_18) (not (= B_5 B_4))))))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted)) (=> (= (tptp.hAPP_f1146435765on_val (tptp.hAPP_f1744304433on_val tptp.produc1618304727on_val A) B) (tptp.hAPP_f1146435765on_val (tptp.hAPP_f1744304433on_val tptp.produc1618304727on_val A_3) B_3)) (not (=> (= A A_3) (not (= B B_3)))))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted)) (=> (= (tptp.hAPP_f368284312on_val (tptp.hAPP_f1805337205on_val tptp.produc1712663241on_val A) B) (tptp.hAPP_f368284312on_val (tptp.hAPP_f1805337205on_val tptp.produc1712663241on_val A_3) B_3)) (not (=> (= A A_3) (not (= B B_3)))))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted)) (=> (= (tptp.hAPP_f1741070310on_val (tptp.hAPP_f864891091on_val tptp.produc1960514199on_val A) B) (tptp.hAPP_f1741070310on_val (tptp.hAPP_f864891091on_val tptp.produc1960514199on_val A_3) B_3)) (not (=> (= A A_3) (not (= B B_3)))))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted)) (=> (= (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A) B) (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A_3) B_3)) (not (=> (= A A_3) (not (= B B_3)))))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted)) (=> (= (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val A) B) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val A_3) B_3)) (not (=> (= A A_3) (not (= B B_3)))))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted)) (=> (= (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val A) B) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val A_3) B_3)) (not (=> (= A A_3) (not (= B B_3)))))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted)) (=> (= (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val A) B) (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val A_3) B_3)) (not (=> (= A A_3) (not (= B B_3)))))) (forall ((A_19 $$unsorted) (B_5 $$unsorted) (A_18 $$unsorted) (B_4 $$unsorted)) (=> (= (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char A_19) B_5) (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char A_18) B_4)) (not (=> (= A_19 A_18) (not (= B_5 B_4)))))) (forall ((A_19 $$unsorted) (B_5 $$unsorted) (A_18 $$unsorted) (B_4 $$unsorted)) (=> (and (tptp.is_bop A_19) (tptp.is_bop A_18)) (=> (= (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val A_19) B_5) (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val A_18) B_4)) (not (=> (= A_19 A_18) (not (= B_5 B_4))))))) (forall ((A_19 $$unsorted) (B_5 $$unsorted) (A_18 $$unsorted) (B_4 $$unsorted)) (=> (= (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val A_19) B_5) (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val A_18) B_4)) (not (=> (= A_19 A_18) (not (= B_5 B_4)))))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted)) (=> (= (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val A) B) (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val A_3) B_3)) (not (=> (= A A_3) (not (= B B_3)))))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted)) (=> (= (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val A) B) (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val A_3) B_3)) (not (=> (= A A_3) (not (= B B_3)))))) (forall ((A_19 $$unsorted) (B_5 $$unsorted) (A_18 $$unsorted) (B_4 $$unsorted)) (=> (= (tptp.hAPP_P767818445t_char (tptp.hAPP_l1873467853t_char tptp.produc921874948t_char A_19) B_5) (tptp.hAPP_P767818445t_char (tptp.hAPP_l1873467853t_char tptp.produc921874948t_char A_18) B_4)) (not (=> (= A_19 A_18) (not (= B_5 B_4)))))) (forall ((A_19 $$unsorted) (B_5 $$unsorted) (A_18 $$unsorted) (B_4 $$unsorted)) (=> (= (tptp.hAPP_P1392904962t_char (tptp.hAPP_l14371579t_char tptp.produc1909267824t_char A_19) B_5) (tptp.hAPP_P1392904962t_char (tptp.hAPP_l14371579t_char tptp.produc1909267824t_char A_18) B_4)) (not (=> (= A_19 A_18) (not (= B_5 B_4)))))) (forall ((A_19 $$unsorted) (B_5 $$unsorted) (A_18 $$unsorted) (B_4 $$unsorted)) (=> (= (tptp.hAPP_e1752110927t_char (tptp.hAPP_l1859255743t_char tptp.produc1916172923t_char A_19) B_5) (tptp.hAPP_e1752110927t_char (tptp.hAPP_l1859255743t_char tptp.produc1916172923t_char A_18) B_4)) (not (=> (= A_19 A_18) (not (= B_5 B_4)))))) (forall ((A_19 $$unsorted) (B_5 $$unsorted) (A_18 $$unsorted) (B_4 $$unsorted)) (=> (= (tptp.hAPP_P1224499548t_char (tptp.hAPP_l902950593t_char tptp.produc822965838t_char A_19) B_5) (tptp.hAPP_P1224499548t_char (tptp.hAPP_l902950593t_char tptp.produc822965838t_char A_18) B_4)) (not (=> (= A_19 A_18) (not (= B_5 B_4)))))) (forall ((A_19 $$unsorted) (B_5 $$unsorted) (A_18 $$unsorted) (B_4 $$unsorted)) (=> (= (tptp.hAPP_P1423780764t_char (tptp.hAPP_l309186817t_char tptp.produc1483578759t_char A_19) B_5) (tptp.hAPP_P1423780764t_char (tptp.hAPP_l309186817t_char tptp.produc1483578759t_char A_18) B_4)) (not (=> (= A_19 A_18) (not (= B_5 B_4)))))) (forall ((A_19 $$unsorted) (B_5 $$unsorted) (A_18 $$unsorted) (B_4 $$unsorted)) (=> (= (tptp.hAPP_l277216047t_char (tptp.hAPP_l352172327t_char tptp.produc1152259904t_char A_19) B_5) (tptp.hAPP_l277216047t_char (tptp.hAPP_l352172327t_char tptp.produc1152259904t_char A_18) B_4)) (not (=> (= A_19 A_18) (not (= B_5 B_4)))))) (forall ((A_19 $$unsorted) (B_5 $$unsorted) (A_18 $$unsorted) (B_4 $$unsorted)) (=> (= (tptp.hAPP_e952791821t_char (tptp.hAPP_l796364813t_char tptp.produc1147572817t_char A_19) B_5) (tptp.hAPP_e952791821t_char (tptp.hAPP_l796364813t_char tptp.produc1147572817t_char A_18) B_4)) (not (=> (= A_19 A_18) (not (= B_5 B_4)))))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted)) (= (= (tptp.hAPP_t1875766236har_ty (tptp.hAPP_l1948972481har_ty tptp.produc251930284har_ty A) B) (tptp.hAPP_t1875766236har_ty (tptp.hAPP_l1948972481har_ty tptp.produc251930284har_ty A_3) B_3)) (and (= A A_3) (= B B_3)))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted)) (= (= (tptp.hAPP_t708040077har_ty (tptp.hAPP_P827589667har_ty tptp.produc1265154397har_ty A) B) (tptp.hAPP_t708040077har_ty (tptp.hAPP_P827589667har_ty tptp.produc1265154397har_ty A_3) B_3)) (and (= A A_3) (= B B_3)))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted)) (= (= (tptp.hAPP_P242904598t_char (tptp.hAPP_l1388836853t_char tptp.produc1331140167t_char A) B) (tptp.hAPP_P242904598t_char (tptp.hAPP_l1388836853t_char tptp.produc1331140167t_char A_3) B_3)) (and (= A A_3) (= B B_3)))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted)) (= (= (tptp.hAPP_P1342907945t_char (tptp.hAPP_P91410073t_char tptp.produc1897818327t_char A) B) (tptp.hAPP_P1342907945t_char (tptp.hAPP_P91410073t_char tptp.produc1897818327t_char A_3) B_3)) (and (= A A_3) (= B B_3)))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted)) (= (= (tptp.hAPP_P1247668062t_char (tptp.hAPP_P1756548163t_char tptp.produc635935767t_char A) B) (tptp.hAPP_P1247668062t_char (tptp.hAPP_P1756548163t_char tptp.produc635935767t_char A_3) B_3)) (and (= A A_3) (= B B_3)))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted)) (= (= (tptp.hAPP_P579374437t_char (tptp.hAPP_P777914897t_char tptp.produc1431439831t_char A) B) (tptp.hAPP_P579374437t_char (tptp.hAPP_P777914897t_char tptp.produc1431439831t_char A_3) B_3)) (and (= A A_3) (= B B_3)))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted)) (= (= (tptp.hAPP_P991802092t_char (tptp.hAPP_P1958775007t_char tptp.produc1641293463t_char A) B) (tptp.hAPP_P991802092t_char (tptp.hAPP_P1958775007t_char tptp.produc1641293463t_char A_3) B_3)) (and (= A A_3) (= B B_3)))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted)) (= (= (tptp.hAPP_P1220989409t_char (tptp.hAPP_P1668407995t_char tptp.produc1299387215t_char A) B) (tptp.hAPP_P1220989409t_char (tptp.hAPP_P1668407995t_char tptp.produc1299387215t_char A_3) B_3)) (and (= A A_3) (= B B_3)))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted)) (= (= (tptp.hAPP_P1333668416t_char (tptp.hAPP_P1859316965t_char tptp.produc57279289t_char A) B) (tptp.hAPP_P1333668416t_char (tptp.hAPP_P1859316965t_char tptp.produc57279289t_char A_3) B_3)) (and (= A A_3) (= B B_3)))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted)) (= (= (tptp.hAPP_P1539798428t_char (tptp.hAPP_P719127871t_char tptp.produc24551831t_char A) B) (tptp.hAPP_P1539798428t_char (tptp.hAPP_P719127871t_char tptp.produc24551831t_char A_3) B_3)) (and (= A A_3) (= B B_3)))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted)) (= (= (tptp.hAPP_P1758592847on_val (tptp.hAPP_P2015431471on_val tptp.produc1951691075on_val A) B) (tptp.hAPP_P1758592847on_val (tptp.hAPP_P2015431471on_val tptp.produc1951691075on_val A_3) B_3)) (and (= A A_3) (= B B_3)))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted)) (= (= (tptp.hAPP_P47773639al_val (tptp.hAPP_P1874979071al_val tptp.produc1244920211al_val A) B) (tptp.hAPP_P47773639al_val (tptp.hAPP_P1874979071al_val tptp.produc1244920211al_val A_3) B_3)) (and (= A A_3) (= B B_3)))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted)) (= (= (tptp.hAPP_P2123720426al_val (tptp.hAPP_P1538518401al_val tptp.produc1924279125al_val A) B) (tptp.hAPP_P2123720426al_val (tptp.hAPP_P1538518401al_val tptp.produc1924279125al_val A_3) B_3)) (and (= A A_3) (= B B_3)))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted)) (= (= (tptp.hAPP_P1657265855t_char (tptp.hAPP_P1071727823t_char tptp.produc2080520419t_char A) B) (tptp.hAPP_P1657265855t_char (tptp.hAPP_P1071727823t_char tptp.produc2080520419t_char A_3) B_3)) (and (= A A_3) (= B B_3)))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted)) (= (= (tptp.hAPP_P330218428on_val (tptp.hAPP_P1875010047on_val tptp.produc499151895on_val A) B) (tptp.hAPP_P330218428on_val (tptp.hAPP_P1875010047on_val tptp.produc499151895on_val A_3) B_3)) (and (= A A_3) (= B B_3)))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted)) (= (= (tptp.hAPP_P291613419on_val (tptp.hAPP_P265246237on_val tptp.produc870913623on_val A) B) (tptp.hAPP_P291613419on_val (tptp.hAPP_P265246237on_val tptp.produc870913623on_val A_3) B_3)) (and (= A A_3) (= B B_3)))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted)) (= (= (tptp.hAPP_P1486793863on_val (tptp.hAPP_P2077211775on_val tptp.produc1564932627on_val A) B) (tptp.hAPP_P1486793863on_val (tptp.hAPP_P2077211775on_val tptp.produc1564932627on_val A_3) B_3)) (and (= A A_3) (= B B_3)))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted)) (= (= (tptp.hAPP_l1648260346t_char (tptp.hAPP_l1105836155t_char tptp.produc1237966615t_char A) B) (tptp.hAPP_l1648260346t_char (tptp.hAPP_l1105836155t_char tptp.produc1237966615t_char A_3) B_3)) (and (= A A_3) (= B B_3)))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted)) (= (= (tptp.hAPP_e817857447t_char (tptp.hAPP_e1376201919t_char tptp.produc943465171t_char A) B) (tptp.hAPP_e817857447t_char (tptp.hAPP_e1376201919t_char tptp.produc943465171t_char A_3) B_3)) (and (= A A_3) (= B B_3)))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted)) (= (= (tptp.hAPP_l1883348915t_char (tptp.hAPP_l2019537453t_char tptp.produc2035944023t_char A) B) (tptp.hAPP_l1883348915t_char (tptp.hAPP_l2019537453t_char tptp.produc2035944023t_char A_3) B_3)) (and (= A A_3) (= B B_3)))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted)) (= (= (tptp.hAPP_l1294856089har_ty (tptp.hAPP_l1657578379har_ty tptp.produc1860789535har_ty A) B) (tptp.hAPP_l1294856089har_ty (tptp.hAPP_l1657578379har_ty tptp.produc1860789535har_ty A_3) B_3)) (and (= A A_3) (= B B_3)))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted)) (= (= (tptp.hAPP_l1334098948t_char (tptp.hAPP_l1450984463t_char tptp.produc436875159t_char A) B) (tptp.hAPP_l1334098948t_char (tptp.hAPP_l1450984463t_char tptp.produc436875159t_char A_3) B_3)) (and (= A A_3) (= B B_3)))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted)) (= (= (tptp.hAPP_l1249476511st_val (tptp.hAPP_l103437071st_val tptp.produc2078839843st_val A) B) (tptp.hAPP_l1249476511st_val (tptp.hAPP_l103437071st_val tptp.produc2078839843st_val A_3) B_3)) (and (= A A_3) (= B B_3)))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted)) (= (= (tptp.hAPP_l1319068228ist_ty (tptp.hAPP_l1770520637ist_ty tptp.produc512429457ist_ty A) B) (tptp.hAPP_l1319068228ist_ty (tptp.hAPP_l1770520637ist_ty tptp.produc512429457ist_ty A_3) B_3)) (and (= A A_3) (= B B_3)))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted)) (=> (and (tptp.is_bop A) (tptp.is_bop B) (tptp.is_bop A_3) (tptp.is_bop B_3)) (= (= (tptp.hAPP_b1909667208op_bop (tptp.hAPP_b1058859669op_bop tptp.product_Pair_bop_bop A) B) (tptp.hAPP_b1909667208op_bop (tptp.hAPP_b1058859669op_bop tptp.product_Pair_bop_bop A_3) B_3)) (and (= A A_3) (= B B_3))))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted)) (= (= (tptp.hAPP_f1146435765on_val (tptp.hAPP_f1744304433on_val tptp.produc1618304727on_val A) B) (tptp.hAPP_f1146435765on_val (tptp.hAPP_f1744304433on_val tptp.produc1618304727on_val A_3) B_3)) (and (= A A_3) (= B B_3)))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted)) (= (= (tptp.hAPP_f368284312on_val (tptp.hAPP_f1805337205on_val tptp.produc1712663241on_val A) B) (tptp.hAPP_f368284312on_val (tptp.hAPP_f1805337205on_val tptp.produc1712663241on_val A_3) B_3)) (and (= A A_3) (= B B_3)))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted)) (= (= (tptp.hAPP_f1741070310on_val (tptp.hAPP_f864891091on_val tptp.produc1960514199on_val A) B) (tptp.hAPP_f1741070310on_val (tptp.hAPP_f864891091on_val tptp.produc1960514199on_val A_3) B_3)) (and (= A A_3) (= B B_3)))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted)) (= (= (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A) B) (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A_3) B_3)) (and (= A A_3) (= B B_3)))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted)) (= (= (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val A) B) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val A_3) B_3)) (and (= A A_3) (= B B_3)))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted)) (= (= (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val A) B) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val A_3) B_3)) (and (= A A_3) (= B B_3)))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted)) (= (= (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val A) B) (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val A_3) B_3)) (and (= A A_3) (= B B_3)))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted)) (= (= (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char A) B) (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char A_3) B_3)) (and (= A A_3) (= B B_3)))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted)) (=> (and (tptp.is_bop A) (tptp.is_bop A_3)) (= (= (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val A) B) (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val A_3) B_3)) (and (= A A_3) (= B B_3))))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted)) (= (= (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val A) B) (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val A_3) B_3)) (and (= A A_3) (= B B_3)))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted)) (= (= (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val A) B) (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val A_3) B_3)) (and (= A A_3) (= B B_3)))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted)) (= (= (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val A) B) (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val A_3) B_3)) (and (= A A_3) (= B B_3)))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted)) (= (= (tptp.hAPP_P767818445t_char (tptp.hAPP_l1873467853t_char tptp.produc921874948t_char A) B) (tptp.hAPP_P767818445t_char (tptp.hAPP_l1873467853t_char tptp.produc921874948t_char A_3) B_3)) (and (= A A_3) (= B B_3)))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted)) (= (= (tptp.hAPP_P1392904962t_char (tptp.hAPP_l14371579t_char tptp.produc1909267824t_char A) B) (tptp.hAPP_P1392904962t_char (tptp.hAPP_l14371579t_char tptp.produc1909267824t_char A_3) B_3)) (and (= A A_3) (= B B_3)))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted)) (= (= (tptp.hAPP_e1752110927t_char (tptp.hAPP_l1859255743t_char tptp.produc1916172923t_char A) B) (tptp.hAPP_e1752110927t_char (tptp.hAPP_l1859255743t_char tptp.produc1916172923t_char A_3) B_3)) (and (= A A_3) (= B B_3)))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted)) (= (= (tptp.hAPP_P1224499548t_char (tptp.hAPP_l902950593t_char tptp.produc822965838t_char A) B) (tptp.hAPP_P1224499548t_char (tptp.hAPP_l902950593t_char tptp.produc822965838t_char A_3) B_3)) (and (= A A_3) (= B B_3)))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted)) (= (= (tptp.hAPP_P1423780764t_char (tptp.hAPP_l309186817t_char tptp.produc1483578759t_char A) B) (tptp.hAPP_P1423780764t_char (tptp.hAPP_l309186817t_char tptp.produc1483578759t_char A_3) B_3)) (and (= A A_3) (= B B_3)))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted)) (= (= (tptp.hAPP_l277216047t_char (tptp.hAPP_l352172327t_char tptp.produc1152259904t_char A) B) (tptp.hAPP_l277216047t_char (tptp.hAPP_l352172327t_char tptp.produc1152259904t_char A_3) B_3)) (and (= A A_3) (= B B_3)))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted)) (= (= (tptp.hAPP_e952791821t_char (tptp.hAPP_l796364813t_char tptp.produc1147572817t_char A) B) (tptp.hAPP_e952791821t_char (tptp.hAPP_l796364813t_char tptp.produc1147572817t_char A_3) B_3)) (and (= A A_3) (= B B_3)))) (forall ((Pa $$unsorted)) (= (forall ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P748443392y_bool Pa X1))) (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P748443392y_bool Pa (tptp.hAPP_t1875766236har_ty (tptp.hAPP_l1948972481har_ty tptp.produc251930284har_ty A_1) B_2)))))) (forall ((Pa $$unsorted)) (= (forall ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P27757617y_bool Pa X1))) (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P27757617y_bool Pa (tptp.hAPP_t708040077har_ty (tptp.hAPP_P827589667har_ty tptp.produc1265154397har_ty A_1) B_2)))))) (forall ((Pa $$unsorted)) (= (forall ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1384137393r_bool Pa X1))) (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1384137393r_bool Pa (tptp.hAPP_P242904598t_char (tptp.hAPP_l1388836853t_char tptp.produc1331140167t_char A_1) B_2)))))) (forall ((Pa $$unsorted)) (= (forall ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1002912327r_bool Pa X1))) (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1002912327r_bool Pa (tptp.hAPP_P1342907945t_char (tptp.hAPP_P91410073t_char tptp.produc1897818327t_char A_1) B_2)))))) (forall ((Pa $$unsorted)) (= (forall ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P801803911r_bool Pa X1))) (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P801803911r_bool Pa (tptp.hAPP_P1247668062t_char (tptp.hAPP_P1756548163t_char tptp.produc635935767t_char A_1) B_2)))))) (forall ((Pa $$unsorted)) (= (forall ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P929449287r_bool Pa X1))) (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P929449287r_bool Pa (tptp.hAPP_P579374437t_char (tptp.hAPP_P777914897t_char tptp.produc1431439831t_char A_1) B_2)))))) (forall ((Pa $$unsorted)) (= (forall ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P975284999r_bool Pa X1))) (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P975284999r_bool Pa (tptp.hAPP_P991802092t_char (tptp.hAPP_P1958775007t_char tptp.produc1641293463t_char A_1) B_2)))))) (forall ((Pa $$unsorted)) (= (forall ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1183499705r_bool Pa X1))) (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1183499705r_bool Pa (tptp.hAPP_P1220989409t_char (tptp.hAPP_P1668407995t_char tptp.produc1299387215t_char A_1) B_2)))))) (forall ((Pa $$unsorted)) (= (forall ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1240100515r_bool Pa X1))) (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1240100515r_bool Pa (tptp.hAPP_P1333668416t_char (tptp.hAPP_P1859316965t_char tptp.produc57279289t_char A_1) B_2)))))) (forall ((Pa $$unsorted)) (= (forall ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P824029447r_bool Pa X1))) (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P824029447r_bool Pa (tptp.hAPP_P1539798428t_char (tptp.hAPP_P719127871t_char tptp.produc24551831t_char A_1) B_2)))))) (forall ((Pa $$unsorted)) (= (forall ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P2028072621l_bool Pa X1))) (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P2028072621l_bool Pa (tptp.hAPP_P1758592847on_val (tptp.hAPP_P2015431471on_val tptp.produc1951691075on_val A_1) B_2)))))) (forall ((Pa $$unsorted)) (= (forall ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P2123002749l_bool Pa X1))) (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P2123002749l_bool Pa (tptp.hAPP_P47773639al_val (tptp.hAPP_P1874979071al_val tptp.produc1244920211al_val A_1) B_2)))))) (forall ((Pa $$unsorted)) (= (forall ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P738987199l_bool Pa X1))) (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P738987199l_bool Pa (tptp.hAPP_P2123720426al_val (tptp.hAPP_P1538518401al_val tptp.produc1924279125al_val A_1) B_2)))))) (forall ((Pa $$unsorted)) (= (forall ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P2010574925r_bool Pa X1))) (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P2010574925r_bool Pa (tptp.hAPP_P1657265855t_char (tptp.hAPP_P1071727823t_char tptp.produc2080520419t_char A_1) B_2)))))) (forall ((Pa $$unsorted)) (= (forall ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P124632071l_bool Pa X1))) (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P124632071l_bool Pa (tptp.hAPP_P330218428on_val (tptp.hAPP_P1875010047on_val tptp.produc499151895on_val A_1) B_2)))))) (forall ((Pa $$unsorted)) (= (forall ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1221872711l_bool Pa X1))) (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1221872711l_bool Pa (tptp.hAPP_P291613419on_val (tptp.hAPP_P265246237on_val tptp.produc870913623on_val A_1) B_2)))))) (forall ((Pa $$unsorted)) (= (forall ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P378063101l_bool Pa X1))) (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P378063101l_bool Pa (tptp.hAPP_P1486793863on_val (tptp.hAPP_P2077211775on_val tptp.produc1564932627on_val A_1) B_2)))))) (forall ((Pa $$unsorted)) (= (forall ((X1 $$unsorted)) 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(tptp.hAPP_P2053453961y_bool Pa (tptp.hAPP_l1294856089har_ty (tptp.hAPP_l1657578379har_ty tptp.produc1860789535har_ty A_1) B_2)))))) (forall ((Pa $$unsorted)) (= (forall ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1926698759r_bool Pa X1))) (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1926698759r_bool Pa (tptp.hAPP_l1334098948t_char (tptp.hAPP_l1450984463t_char tptp.produc436875159t_char A_1) B_2)))))) (forall ((Pa $$unsorted)) (= (forall ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P2115985549l_bool Pa X1))) (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P2115985549l_bool Pa (tptp.hAPP_l1249476511st_val (tptp.hAPP_l103437071st_val tptp.produc2078839843st_val A_1) B_2)))))) (forall ((Pa $$unsorted)) (= (forall ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1574824955y_bool Pa X1))) (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1574824955y_bool Pa (tptp.hAPP_l1319068228ist_ty (tptp.hAPP_l1770520637ist_ty tptp.produc512429457ist_ty A_1) B_2)))))) (forall ((Pa $$unsorted)) (= (forall ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1085566419p_bool Pa X1))) (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (=> (and (tptp.is_bop A_1) (tptp.is_bop B_2)) (tptp.hBOOL (tptp.hAPP_P1085566419p_bool Pa (tptp.hAPP_b1909667208op_bop (tptp.hAPP_b1058859669op_bop tptp.product_Pair_bop_bop A_1) B_2))))))) (forall ((Pa $$unsorted)) (= (forall ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P504978887l_bool Pa X1))) (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P504978887l_bool Pa (tptp.hAPP_f1146435765on_val (tptp.hAPP_f1744304433on_val tptp.produc1618304727on_val A_1) B_2)))))) (forall ((Pa $$unsorted)) (= (forall ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P2077557811l_bool Pa X1))) (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P2077557811l_bool Pa (tptp.hAPP_f368284312on_val (tptp.hAPP_f1805337205on_val tptp.produc1712663241on_val A_1) B_2)))))) (forall ((Pa $$unsorted)) (= (forall ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P468446343l_bool Pa X1))) (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P468446343l_bool Pa (tptp.hAPP_f1741070310on_val (tptp.hAPP_f864891091on_val tptp.produc1960514199on_val A_1) B_2)))))) (forall ((Pa $$unsorted)) (= (forall ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P282169671l_bool Pa X1))) (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P282169671l_bool Pa (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A_1) B_2)))))) (forall ((Pa $$unsorted)) (= (forall ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1708370145l_bool Pa X1))) (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1708370145l_bool Pa (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val A_1) B_2)))))) (forall ((Pa $$unsorted)) (= (forall ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool Pa X1))) (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool Pa (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val A_1) B_2)))))) (forall ((Pa $$unsorted)) (= (forall ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1235399154l_bool Pa X1))) (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1235399154l_bool Pa (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val A_1) B_2)))))) (forall ((Pa $$unsorted)) (= (forall ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P449474095r_bool Pa X1))) (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P449474095r_bool Pa (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char A_1) B_2)))))) (forall ((Pa $$unsorted)) (= (forall ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P943837928l_bool Pa X1))) (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (=> (tptp.is_bop A_1) (tptp.hBOOL (tptp.hAPP_P943837928l_bool Pa (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val 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(tptp.hAPP_P92196306r_bool Pa X1))) (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P92196306r_bool Pa (tptp.hAPP_P767818445t_char (tptp.hAPP_l1873467853t_char tptp.produc921874948t_char A_1) B_2)))))) (forall ((Pa $$unsorted)) (= (forall ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1907982426r_bool Pa X1))) (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1907982426r_bool Pa (tptp.hAPP_P1392904962t_char (tptp.hAPP_l14371579t_char tptp.produc1909267824t_char A_1) B_2)))))) (forall ((Pa $$unsorted)) (= (forall ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P2118621157r_bool Pa X1))) (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P2118621157r_bool Pa (tptp.hAPP_e1752110927t_char (tptp.hAPP_l1859255743t_char tptp.produc1916172923t_char A_1) B_2)))))) (forall ((Pa $$unsorted)) (= (forall ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1680401186r_bool Pa X1))) (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1680401186r_bool Pa (tptp.hAPP_P1224499548t_char (tptp.hAPP_l902950593t_char tptp.produc822965838t_char A_1) B_2)))))) (forall ((Pa $$unsorted)) (= (forall ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P659547099r_bool Pa X1))) (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P659547099r_bool Pa (tptp.hAPP_P1423780764t_char (tptp.hAPP_l309186817t_char tptp.produc1483578759t_char A_1) B_2)))))) (forall ((Pa $$unsorted)) (= (forall ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P828904212r_bool Pa X1))) (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P828904212r_bool Pa (tptp.hAPP_l277216047t_char (tptp.hAPP_l352172327t_char tptp.produc1152259904t_char A_1) B_2)))))) (forall ((Pa $$unsorted)) (= (forall ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P2014166431r_bool Pa X1))) (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P2014166431r_bool Pa (tptp.hAPP_e952791821t_char (tptp.hAPP_l796364813t_char tptp.produc1147572817t_char A_1) B_2)))))) (forall ((F_1 $$unsorted) (B $$unsorted) (A $$unsorted) (X_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_l207779698on_val (tptp.fun_up1149430426on_val F_1 A B) X_1))) (let ((_let_2 (= X_1 A))) (and (=> _let_2 (= _let_1 B)) (=> (not _let_2) (= _let_1 (tptp.hAPP_l207779698on_val F_1 X_1))))))) (forall ((F_1 $$unsorted) (B $$unsorted) (A $$unsorted) (X_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_l512744617ion_ty (tptp.fun_up424764369ion_ty F_1 A B) X_1))) (let ((_let_2 (= X_1 A))) (and (=> _let_2 (= _let_1 B)) (=> (not _let_2) (= _let_1 (tptp.hAPP_l512744617ion_ty F_1 X_1))))))) (forall ((F_1 $$unsorted) (B $$unsorted) (A $$unsorted) (X_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_n546249108on_val (tptp.fun_up2041264236on_val F_1 A B) X_1))) (let ((_let_2 (= X_1 A))) (and (=> _let_2 (= _let_1 B)) (=> (not _let_2) (= _let_1 (tptp.hAPP_n546249108on_val F_1 X_1))))))) (forall ((F_1 $$unsorted) (B $$unsorted) (A $$unsorted) (X_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_P2094403585on_val (tptp.fun_up204312361on_val F_1 A B) X_1))) (let ((_let_2 (= X_1 A))) (and (=> _let_2 (= _let_1 B)) (=> (not _let_2) (= _let_1 (tptp.hAPP_P2094403585on_val F_1 X_1))))))) (forall ((F_1 $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (=> (= (tptp.hAPP_l207779698on_val F_1 X_2) Y_2) (= (tptp.fun_up1149430426on_val F_1 X_2 Y_2) F_1))) (forall ((F_1 $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (=> (= (tptp.hAPP_l512744617ion_ty F_1 X_2) Y_2) (= (tptp.fun_up424764369ion_ty F_1 X_2 Y_2) F_1))) (forall ((F_1 $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (=> (= (tptp.hAPP_n546249108on_val F_1 X_2) Y_2) (= (tptp.fun_up2041264236on_val F_1 X_2 Y_2) F_1))) (forall ((F_1 $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (=> (= (tptp.hAPP_P2094403585on_val F_1 X_2) Y_2) (= (tptp.fun_up204312361on_val F_1 X_2 Y_2) F_1))) (forall ((F_1 $$unsorted) (Y_2 $$unsorted) (Z_1 $$unsorted) (X_2 $$unsorted)) (=> (not (= Z_1 X_2)) (= (tptp.hAPP_l207779698on_val (tptp.fun_up1149430426on_val F_1 X_2 Y_2) Z_1) (tptp.hAPP_l207779698on_val F_1 Z_1)))) (forall ((F_1 $$unsorted) (Y_2 $$unsorted) (Z_1 $$unsorted) (X_2 $$unsorted)) (=> (not (= Z_1 X_2)) (= (tptp.hAPP_l512744617ion_ty (tptp.fun_up424764369ion_ty F_1 X_2 Y_2) Z_1) (tptp.hAPP_l512744617ion_ty F_1 Z_1)))) (forall ((F_1 $$unsorted) (Y_2 $$unsorted) (Z_1 $$unsorted) (X_2 $$unsorted)) (=> (not (= Z_1 X_2)) (= (tptp.hAPP_n546249108on_val (tptp.fun_up2041264236on_val F_1 X_2 Y_2) Z_1) (tptp.hAPP_n546249108on_val F_1 Z_1)))) (forall ((F_1 $$unsorted) (Y_2 $$unsorted) (Z_1 $$unsorted) (X_2 $$unsorted)) (=> (not (= Z_1 X_2)) (= (tptp.hAPP_P2094403585on_val (tptp.fun_up204312361on_val F_1 X_2 Y_2) Z_1) (tptp.hAPP_P2094403585on_val F_1 Z_1)))) (forall ((M_1 $$unsorted) (B $$unsorted) (D_1 $$unsorted) (A $$unsorted) (C_2 $$unsorted)) (=> (not (= A C_2)) (= (tptp.fun_up1149430426on_val (tptp.fun_up1149430426on_val M_1 A B) C_2 D_1) (tptp.fun_up1149430426on_val (tptp.fun_up1149430426on_val M_1 C_2 D_1) A B)))) (forall ((M_1 $$unsorted) (B $$unsorted) (D_1 $$unsorted) (A $$unsorted) (C_2 $$unsorted)) (=> (not (= A C_2)) (= (tptp.fun_up424764369ion_ty (tptp.fun_up424764369ion_ty M_1 A B) C_2 D_1) (tptp.fun_up424764369ion_ty (tptp.fun_up424764369ion_ty M_1 C_2 D_1) A B)))) (forall ((M_1 $$unsorted) (B $$unsorted) (D_1 $$unsorted) (A $$unsorted) (C_2 $$unsorted)) (=> (not (= A C_2)) (= (tptp.fun_up2041264236on_val (tptp.fun_up2041264236on_val M_1 A B) C_2 D_1) (tptp.fun_up2041264236on_val (tptp.fun_up2041264236on_val M_1 C_2 D_1) A B)))) (forall ((M_1 $$unsorted) (B $$unsorted) (D_1 $$unsorted) (A $$unsorted) (C_2 $$unsorted)) (=> (not (= A C_2)) (= (tptp.fun_up204312361on_val (tptp.fun_up204312361on_val M_1 A B) C_2 D_1) (tptp.fun_up204312361on_val (tptp.fun_up204312361on_val M_1 C_2 D_1) A B)))) (forall ((F_1 $$unsorted) (Y_2 $$unsorted) (Z_1 $$unsorted) (X_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_l207779698on_val (tptp.fun_up1149430426on_val F_1 X_2 Y_2) Z_1))) (let ((_let_2 (= Z_1 X_2))) (and (=> _let_2 (= _let_1 Y_2)) (=> (not _let_2) (= _let_1 (tptp.hAPP_l207779698on_val F_1 Z_1))))))) (forall ((F_1 $$unsorted) (Y_2 $$unsorted) (Z_1 $$unsorted) (X_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_l512744617ion_ty (tptp.fun_up424764369ion_ty F_1 X_2 Y_2) Z_1))) (let ((_let_2 (= Z_1 X_2))) (and (=> _let_2 (= _let_1 Y_2)) (=> (not _let_2) (= _let_1 (tptp.hAPP_l512744617ion_ty F_1 Z_1))))))) (forall ((F_1 $$unsorted) (Y_2 $$unsorted) (Z_1 $$unsorted) (X_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_n546249108on_val (tptp.fun_up2041264236on_val F_1 X_2 Y_2) Z_1))) (let ((_let_2 (= Z_1 X_2))) (and (=> _let_2 (= _let_1 Y_2)) (=> (not _let_2) (= _let_1 (tptp.hAPP_n546249108on_val F_1 Z_1))))))) (forall ((F_1 $$unsorted) (Y_2 $$unsorted) (Z_1 $$unsorted) (X_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_P2094403585on_val (tptp.fun_up204312361on_val F_1 X_2 Y_2) Z_1))) (let ((_let_2 (= Z_1 X_2))) (and (=> _let_2 (= _let_1 Y_2)) (=> (not _let_2) (= _let_1 (tptp.hAPP_P2094403585on_val F_1 Z_1))))))) (forall ((F_1 $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (= (tptp.hAPP_l207779698on_val 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(tptp.hBOOL (tptp.hAPP_f61040418l_bool _let_1 H_b))))))) (forall ((Ea $$unsorted) (Ta $$unsorted) (Eb $$unsorted) (Hb $$unsorted) (Lb $$unsorted) (E_b $$unsorted) (H_b $$unsorted) (L_b $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.lconf_496643946t_char Pa))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb) Lb))) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_b) L_b)))) (tptp.red Pa))) (=> (tptp.hBOOL (tptp.wTrt_1 Pa Hb Ea Eb Ta)) (=> (tptp.hBOOL (tptp.hAPP_f1001225811y_bool (tptp.hAPP_f2060496320y_bool (tptp.hAPP_f1213370163y_bool _let_1 Hb) Lb) Ea)) (tptp.hBOOL (tptp.hAPP_f1001225811y_bool (tptp.hAPP_f2060496320y_bool (tptp.hAPP_f1213370163y_bool _let_1 H_b) L_b) Ea))))))) (forall ((Y_5 $$unsorted)) (not (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted)) (not (= Y_5 (tptp.hAPP_P242904598t_char (tptp.hAPP_l1388836853t_char tptp.produc1331140167t_char A_1) (tptp.hAPP_P976433298t_char (tptp.hAPP_l2048923787t_char tptp.produc2016959032t_char B_2) C_4))))))) (forall ((Y_2 $$unsorted)) (not (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted)) (not (= Y_2 (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A_1) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val B_2) C_4))))))) (forall ((Y_2 $$unsorted)) (not (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted)) (not (= Y_2 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val A_1) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val B_2) C_4))))))) (forall ((Y_5 $$unsorted)) (not (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted)) (=> (tptp.is_bop A_1) (not (= Y_5 (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val A_1) (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val B_2) C_4)))))))) (forall ((Y_2 $$unsorted)) (not (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted)) (not (= Y_2 (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val A_1) (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val B_2) C_4))))))) (forall ((Y_2 $$unsorted)) (not (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted)) (not (= Y_2 (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val A_1) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val B_2) C_4))))))) (forall ((Y_5 $$unsorted)) (not (forall ((A_1 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tptp.produc823076510on_val B_2) C_4))))))) (forall ((Y_5 $$unsorted)) (not (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted)) (not (= Y_5 (tptp.hAPP_P1657265855t_char (tptp.hAPP_P1071727823t_char tptp.produc2080520419t_char A_1) (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char B_2) C_4))))))) (forall ((Y_5 $$unsorted)) (not (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted)) (=> (tptp.is_bop B_2) (not (= Y_5 (tptp.hAPP_P2123720426al_val (tptp.hAPP_P1538518401al_val tptp.produc1924279125al_val A_1) (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val B_2) C_4)))))))) (forall ((Y_5 $$unsorted)) (not (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted)) (not (= Y_5 (tptp.hAPP_P47773639al_val (tptp.hAPP_P1874979071al_val tptp.produc1244920211al_val A_1) (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val B_2) C_4))))))) (forall ((Y_2 $$unsorted)) (not (forall ((A_1 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tptp.produc1299387215t_char A_1) (tptp.hAPP_e1752110927t_char (tptp.hAPP_l1859255743t_char tptp.produc1916172923t_char B_2) C_4))))))) (forall ((Y_5 $$unsorted)) (not (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted)) (not (= Y_5 (tptp.hAPP_P991802092t_char (tptp.hAPP_P1958775007t_char tptp.produc1641293463t_char A_1) (tptp.hAPP_P1224499548t_char (tptp.hAPP_l902950593t_char tptp.produc822965838t_char B_2) C_4))))))) (forall ((Y_5 $$unsorted)) (not (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted)) (not (= Y_5 (tptp.hAPP_P579374437t_char (tptp.hAPP_P777914897t_char tptp.produc1431439831t_char A_1) (tptp.hAPP_P1423780764t_char (tptp.hAPP_l309186817t_char tptp.produc1483578759t_char B_2) C_4))))))) (forall ((Y_5 $$unsorted)) (not (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted)) (not (= Y_5 (tptp.hAPP_P1247668062t_char (tptp.hAPP_P1756548163t_char tptp.produc635935767t_char A_1) (tptp.hAPP_l277216047t_char (tptp.hAPP_l352172327t_char tptp.produc1152259904t_char B_2) C_4))))))) (forall ((Y_5 $$unsorted)) (not (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted)) (not (= Y_5 (tptp.hAPP_P1342907945t_char (tptp.hAPP_P91410073t_char tptp.produc1897818327t_char A_1) (tptp.hAPP_e952791821t_char (tptp.hAPP_l796364813t_char tptp.produc1147572817t_char B_2) C_4))))))) (forall ((X_2 $$unsorted) (Pa $$unsorted)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1384137393r_bool Pa (tptp.hAPP_P242904598t_char (tptp.hAPP_l1388836853t_char tptp.produc1331140167t_char A_1) (tptp.hAPP_P976433298t_char (tptp.hAPP_l2048923787t_char tptp.produc2016959032t_char B_2) C_4))))) (tptp.hBOOL (tptp.hAPP_P1384137393r_bool Pa X_2)))) (forall ((X_2 $$unsorted) (Pa $$unsorted)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P282169671l_bool Pa (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A_1) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val B_2) C_4))))) (tptp.hBOOL (tptp.hAPP_P282169671l_bool Pa X_2)))) (forall ((X_2 $$unsorted) (Pa $$unsorted)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1708370145l_bool Pa (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val A_1) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val B_2) C_4))))) (tptp.hBOOL (tptp.hAPP_P1708370145l_bool Pa X_2)))) (forall ((X_2 $$unsorted) (Pa $$unsorted)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted)) (=> (tptp.is_bop A_1) (tptp.hBOOL (tptp.hAPP_P943837928l_bool Pa (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val A_1) (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val B_2) C_4)))))) (tptp.hBOOL (tptp.hAPP_P943837928l_bool Pa X_2)))) (forall ((X_2 $$unsorted) (Pa $$unsorted)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1333315679l_bool Pa (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val A_1) (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val B_2) C_4))))) (tptp.hBOOL (tptp.hAPP_P1333315679l_bool Pa X_2)))) (forall ((X_2 $$unsorted) (Pa $$unsorted)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P71593144l_bool Pa (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val A_1) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val B_2) C_4))))) (tptp.hBOOL (tptp.hAPP_P71593144l_bool Pa X_2)))) (forall ((X_2 $$unsorted) (Pa $$unsorted)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P92196306r_bool Pa (tptp.hAPP_P767818445t_char (tptp.hAPP_l1873467853t_char tptp.produc921874948t_char A_1) (tptp.hAPP_P1392904962t_char (tptp.hAPP_l14371579t_char tptp.produc1909267824t_char B_2) C_4))))) (tptp.hBOOL (tptp.hAPP_P92196306r_bool Pa X_2)))) (forall ((X_2 $$unsorted) (Pa $$unsorted)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1907982426r_bool Pa (tptp.hAPP_P1392904962t_char (tptp.hAPP_l14371579t_char tptp.produc1909267824t_char A_1) (tptp.hAPP_e1752110927t_char (tptp.hAPP_l1859255743t_char tptp.produc1916172923t_char B_2) C_4))))) (tptp.hBOOL (tptp.hAPP_P1907982426r_bool Pa X_2)))) (forall ((X_2 $$unsorted) (Pa $$unsorted)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1680401186r_bool Pa (tptp.hAPP_P1224499548t_char (tptp.hAPP_l902950593t_char tptp.produc822965838t_char A_1) (tptp.hAPP_P1423780764t_char (tptp.hAPP_l309186817t_char tptp.produc1483578759t_char B_2) C_4))))) (tptp.hBOOL (tptp.hAPP_P1680401186r_bool Pa X_2)))) (forall ((X_2 $$unsorted) (Pa $$unsorted)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P659547099r_bool Pa (tptp.hAPP_P1423780764t_char (tptp.hAPP_l309186817t_char tptp.produc1483578759t_char A_1) (tptp.hAPP_l277216047t_char (tptp.hAPP_l352172327t_char tptp.produc1152259904t_char B_2) C_4))))) (tptp.hBOOL (tptp.hAPP_P659547099r_bool Pa X_2)))) (forall ((X_2 $$unsorted) (Pa $$unsorted)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P378063101l_bool Pa (tptp.hAPP_P1486793863on_val (tptp.hAPP_P2077211775on_val tptp.produc1564932627on_val A_1) (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val B_2) C_4))))) (tptp.hBOOL (tptp.hAPP_P378063101l_bool Pa X_2)))) (forall ((X_2 $$unsorted) (Pa $$unsorted)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1221872711l_bool Pa (tptp.hAPP_P291613419on_val (tptp.hAPP_P265246237on_val tptp.produc870913623on_val A_1) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val B_2) C_4))))) (tptp.hBOOL (tptp.hAPP_P1221872711l_bool Pa X_2)))) (forall ((X_2 $$unsorted) (Pa $$unsorted)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P124632071l_bool Pa (tptp.hAPP_P330218428on_val (tptp.hAPP_P1875010047on_val tptp.produc499151895on_val A_1) (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val B_2) C_4))))) (tptp.hBOOL (tptp.hAPP_P124632071l_bool Pa X_2)))) (forall ((X_2 $$unsorted) (Pa $$unsorted)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P2010574925r_bool Pa (tptp.hAPP_P1657265855t_char (tptp.hAPP_P1071727823t_char tptp.produc2080520419t_char A_1) (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char B_2) C_4))))) (tptp.hBOOL (tptp.hAPP_P2010574925r_bool Pa X_2)))) (forall ((X_2 $$unsorted) (Pa $$unsorted)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted)) (=> (tptp.is_bop B_2) (tptp.hBOOL (tptp.hAPP_P738987199l_bool Pa (tptp.hAPP_P2123720426al_val (tptp.hAPP_P1538518401al_val tptp.produc1924279125al_val A_1) (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val B_2) C_4)))))) (tptp.hBOOL (tptp.hAPP_P738987199l_bool Pa X_2)))) (forall ((X_2 $$unsorted) (Pa $$unsorted)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P2123002749l_bool Pa (tptp.hAPP_P47773639al_val (tptp.hAPP_P1874979071al_val tptp.produc1244920211al_val A_1) (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val B_2) C_4))))) (tptp.hBOOL (tptp.hAPP_P2123002749l_bool Pa X_2)))) (forall ((X_2 $$unsorted) (Pa $$unsorted)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P2028072621l_bool Pa (tptp.hAPP_P1758592847on_val (tptp.hAPP_P2015431471on_val tptp.produc1951691075on_val A_1) (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val B_2) C_4))))) (tptp.hBOOL (tptp.hAPP_P2028072621l_bool Pa X_2)))) (forall ((X_2 $$unsorted) (Pa $$unsorted)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P824029447r_bool Pa (tptp.hAPP_P1539798428t_char (tptp.hAPP_P719127871t_char tptp.produc24551831t_char A_1) (tptp.hAPP_P767818445t_char (tptp.hAPP_l1873467853t_char tptp.produc921874948t_char B_2) C_4))))) (tptp.hBOOL (tptp.hAPP_P824029447r_bool Pa X_2)))) (forall ((X_2 $$unsorted) (Pa $$unsorted)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1240100515r_bool Pa (tptp.hAPP_P1333668416t_char (tptp.hAPP_P1859316965t_char tptp.produc57279289t_char A_1) (tptp.hAPP_P1392904962t_char (tptp.hAPP_l14371579t_char tptp.produc1909267824t_char B_2) C_4))))) (tptp.hBOOL (tptp.hAPP_P1240100515r_bool Pa X_2)))) (forall ((X_2 $$unsorted) (Pa $$unsorted)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1183499705r_bool Pa (tptp.hAPP_P1220989409t_char (tptp.hAPP_P1668407995t_char tptp.produc1299387215t_char A_1) (tptp.hAPP_e1752110927t_char (tptp.hAPP_l1859255743t_char tptp.produc1916172923t_char B_2) C_4))))) (tptp.hBOOL (tptp.hAPP_P1183499705r_bool Pa X_2)))) (forall ((X_2 $$unsorted) (Pa $$unsorted)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P975284999r_bool Pa (tptp.hAPP_P991802092t_char (tptp.hAPP_P1958775007t_char tptp.produc1641293463t_char A_1) (tptp.hAPP_P1224499548t_char (tptp.hAPP_l902950593t_char tptp.produc822965838t_char B_2) C_4))))) (tptp.hBOOL (tptp.hAPP_P975284999r_bool Pa X_2)))) (forall ((X_2 $$unsorted) (Pa $$unsorted)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P929449287r_bool Pa (tptp.hAPP_P579374437t_char (tptp.hAPP_P777914897t_char tptp.produc1431439831t_char A_1) (tptp.hAPP_P1423780764t_char (tptp.hAPP_l309186817t_char tptp.produc1483578759t_char B_2) C_4))))) (tptp.hBOOL (tptp.hAPP_P929449287r_bool Pa X_2)))) (forall ((X_2 $$unsorted) (Pa $$unsorted)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P801803911r_bool Pa (tptp.hAPP_P1247668062t_char (tptp.hAPP_P1756548163t_char tptp.produc635935767t_char A_1) (tptp.hAPP_l277216047t_char (tptp.hAPP_l352172327t_char tptp.produc1152259904t_char B_2) C_4))))) (tptp.hBOOL (tptp.hAPP_P801803911r_bool Pa X_2)))) (forall ((X_2 $$unsorted) (Pa $$unsorted)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (C_4 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1002912327r_bool Pa (tptp.hAPP_P1342907945t_char (tptp.hAPP_P91410073t_char tptp.produc1897818327t_char A_1) (tptp.hAPP_e952791821t_char (tptp.hAPP_l796364813t_char tptp.produc1147572817t_char B_2) C_4))))) (tptp.hBOOL (tptp.hAPP_P1002912327r_bool Pa X_2)))) (forall ((Ea $$unsorted) (Ta $$unsorted) (Eb $$unsorted) (S $$unsorted) (E_b $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.typeSa1700205512_sconf Pa Ea))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) S_2))) (tptp.red Pa))) (=> (tptp.hBOOL (tptp.wTrt_1 Pa (tptp.hp S) Ea Eb Ta)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool _let_1 S)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool _let_1 S_2))))))) (forall ((S_4 $$unsorted) (R_2 $$unsorted)) (= (forall ((X_1 $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_P53416969l_bool tptp.member894971540t_char (tptp.hAPP_l1648260346t_char (tptp.hAPP_l1105836155t_char tptp.produc1237966615t_char X_1) Xa)))) (= (tptp.hBOOL (tptp.hAPP_f1734260017l_bool _let_1 R_2)) (tptp.hBOOL (tptp.hAPP_f1734260017l_bool _let_1 S_4))))) (= R_2 S_4))) (forall ((S_4 $$unsorted) (R_2 $$unsorted)) (= (forall ((X_1 $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_P1860450421l_bool tptp.member1199939018t_char (tptp.hAPP_e817857447t_char (tptp.hAPP_e1376201919t_char tptp.produc943465171t_char X_1) Xa)))) (= (tptp.hBOOL (tptp.hAPP_f588675559l_bool _let_1 R_2)) (tptp.hBOOL (tptp.hAPP_f588675559l_bool _let_1 S_4))))) (= R_2 S_4))) (forall ((S_4 $$unsorted) (R_2 $$unsorted)) (= (forall ((X_1 $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_P153687689l_bool tptp.member817832404t_char (tptp.hAPP_l1883348915t_char (tptp.hAPP_l2019537453t_char tptp.produc2035944023t_char X_1) Xa)))) (= (tptp.hBOOL (tptp.hAPP_f479632753l_bool _let_1 R_2)) (tptp.hBOOL (tptp.hAPP_f479632753l_bool _let_1 S_4))))) (= R_2 S_4))) (forall ((S_4 $$unsorted) (R_2 $$unsorted)) (= (forall ((X_1 $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_P569585933l_bool tptp.member520253462har_ty (tptp.hAPP_l1294856089har_ty (tptp.hAPP_l1657578379har_ty tptp.produc1860789535har_ty X_1) Xa)))) (= (tptp.hBOOL (tptp.hAPP_f288221747l_bool _let_1 R_2)) (tptp.hBOOL (tptp.hAPP_f288221747l_bool _let_1 S_4))))) (= R_2 S_4))) (forall ((S_4 $$unsorted) (R_2 $$unsorted)) (= (forall ((X_1 $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_P1503283977l_bool tptp.member1580476948t_char (tptp.hAPP_l1334098948t_char (tptp.hAPP_l1450984463t_char tptp.produc436875159t_char X_1) Xa)))) (= (tptp.hBOOL (tptp.hAPP_f1748390065l_bool _let_1 R_2)) (tptp.hBOOL (tptp.hAPP_f1748390065l_bool _let_1 S_4))))) (= R_2 S_4))) (forall ((S_4 $$unsorted) (R_2 $$unsorted)) (= (forall ((X_1 $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_P1033205013l_bool tptp.member273646106st_val (tptp.hAPP_l1249476511st_val (tptp.hAPP_l103437071st_val tptp.produc2078839843st_val X_1) Xa)))) (= (tptp.hBOOL (tptp.hAPP_f348753975l_bool _let_1 R_2)) (tptp.hBOOL (tptp.hAPP_f348753975l_bool _let_1 S_4))))) (= R_2 S_4))) (forall ((S_4 $$unsorted) (R_2 $$unsorted)) (= (forall ((X_1 $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_P1019319281l_bool tptp.member104734088ist_ty (tptp.hAPP_l1319068228ist_ty (tptp.hAPP_l1770520637ist_ty tptp.produc512429457ist_ty X_1) Xa)))) (= (tptp.hBOOL (tptp.hAPP_f433445541l_bool _let_1 R_2)) (tptp.hBOOL (tptp.hAPP_f433445541l_bool _let_1 S_4))))) (= R_2 S_4))) (forall ((S_4 $$unsorted) (R_2 $$unsorted)) (=> (and (tptp.is_fun1083000568p_bool S_4) (tptp.is_fun1083000568p_bool R_2)) (= (forall ((X_1 $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_P1034346913l_bool tptp.member978285664op_bop (tptp.hAPP_b1909667208op_bop (tptp.hAPP_b1058859669op_bop tptp.product_Pair_bop_bop X_1) Xa)))) (=> (and (tptp.is_bop X_1) (tptp.is_bop Xa)) (= (tptp.hBOOL (tptp.hAPP_f1854361213l_bool _let_1 R_2)) (tptp.hBOOL (tptp.hAPP_f1854361213l_bool _let_1 S_4)))))) (= R_2 S_4)))) (forall ((S_4 $$unsorted) (R_2 $$unsorted)) (= (forall ((X_1 $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_P1953134729l_bool tptp.member781783252on_val (tptp.hAPP_f1146435765on_val (tptp.hAPP_f1744304433on_val tptp.produc1618304727on_val X_1) Xa)))) (= (tptp.hBOOL (tptp.hAPP_f983152497l_bool _let_1 R_2)) (tptp.hBOOL (tptp.hAPP_f983152497l_bool _let_1 S_4))))) (= R_2 S_4))) (forall ((S_4 $$unsorted) (R_2 $$unsorted)) (= (forall ((X_1 $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_P1679186017l_bool tptp.member1337019328on_val (tptp.hAPP_f368284312on_val (tptp.hAPP_f1805337205on_val tptp.produc1712663241on_val X_1) Xa)))) (= (tptp.hBOOL (tptp.hAPP_f1754555101l_bool _let_1 R_2)) (tptp.hBOOL (tptp.hAPP_f1754555101l_bool _let_1 S_4))))) (= R_2 S_4))) (forall ((S_4 $$unsorted) (R_2 $$unsorted)) (= (forall ((X_1 $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_P1878549513l_bool tptp.member490182804on_val (tptp.hAPP_f1741070310on_val (tptp.hAPP_f864891091on_val tptp.produc1960514199on_val X_1) Xa)))) (= (tptp.hBOOL (tptp.hAPP_f1661305905l_bool _let_1 R_2)) (tptp.hBOOL (tptp.hAPP_f1661305905l_bool _let_1 S_4))))) (= R_2 S_4))) (forall ((S_4 $$unsorted) (R_2 $$unsorted)) (= (forall ((X_1 $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_P2015860941l_bool tptp.member840932460on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val X_1) Xa)))) (= (tptp.hBOOL (tptp.hAPP_f91506671l_bool _let_1 R_2)) (tptp.hBOOL (tptp.hAPP_f91506671l_bool _let_1 S_4))))) (= R_2 S_4))) (forall ((S_4 $$unsorted) (R_2 $$unsorted)) (= (forall ((X_1 $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_P998768845l_bool tptp.member763590124on_val (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val X_1) Xa)))) (= (tptp.hBOOL (tptp.hAPP_f966411375l_bool _let_1 R_2)) (tptp.hBOOL (tptp.hAPP_f966411375l_bool _let_1 S_4))))) (= R_2 S_4))) (forall ((S_4 $$unsorted) (R_2 $$unsorted)) (= (forall ((X_1 $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_P1217996045l_bool tptp.member1542417277on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val X_1) Xa)))) (= (tptp.hBOOL (tptp.hAPP_f1134950784l_bool _let_1 R_2)) (tptp.hBOOL (tptp.hAPP_f1134950784l_bool _let_1 S_4))))) (= R_2 S_4))) (forall ((S_4 $$unsorted) (R_2 $$unsorted)) (= (forall ((X_1 $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_P1653675595l_bool tptp.member1417904245al_val (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val X_1) Xa)))) (=> (tptp.is_bop X_1) (= (tptp.hBOOL (tptp.hAPP_f742333458l_bool _let_1 R_2)) (tptp.hBOOL (tptp.hAPP_f742333458l_bool _let_1 S_4)))))) (= R_2 S_4))) (forall ((S_4 $$unsorted) (R_2 $$unsorted)) (= (forall ((X_1 $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_P530382601l_bool tptp.member649088532al_val (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val X_1) Xa)))) (= (tptp.hBOOL (tptp.hAPP_f2028441009l_bool _let_1 R_2)) (tptp.hBOOL (tptp.hAPP_f2028441009l_bool _let_1 S_4))))) (= R_2 S_4))) (forall ((S_4 $$unsorted) (R_2 $$unsorted)) (= (forall ((X_1 $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_P483670507l_bool tptp.member1972431429on_val (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val X_1) Xa)))) (= (tptp.hBOOL (tptp.hAPP_f837795298l_bool _let_1 R_2)) (tptp.hBOOL (tptp.hAPP_f837795298l_bool _let_1 S_4))))) (= R_2 S_4))) (forall ((S_4 $$unsorted) (R_2 $$unsorted)) (= (forall ((X_1 $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_P1472618637l_bool tptp.member133545693t_char (tptp.hAPP_P767818445t_char (tptp.hAPP_l1873467853t_char tptp.produc921874948t_char X_1) Xa)))) (= (tptp.hBOOL (tptp.hAPP_f1780084320l_bool _let_1 R_2)) (tptp.hBOOL (tptp.hAPP_f1780084320l_bool _let_1 S_4))))) (= R_2 S_4))) (forall ((S_4 $$unsorted) (R_2 $$unsorted)) (= (forall ((X_1 $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_P1198052655l_bool tptp.member140606439t_char (tptp.hAPP_P1392904962t_char (tptp.hAPP_l14371579t_char tptp.produc1909267824t_char X_1) Xa)))) (= (tptp.hBOOL (tptp.hAPP_f1746574980l_bool _let_1 R_2)) (tptp.hBOOL (tptp.hAPP_f1746574980l_bool _let_1 S_4))))) (= R_2 S_4))) (forall ((S_4 $$unsorted) (R_2 $$unsorted)) (= (forall ((X_1 $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_P845017029l_bool tptp.member699351154t_char (tptp.hAPP_e1752110927t_char (tptp.hAPP_l1859255743t_char tptp.produc1916172923t_char X_1) Xa)))) (= (tptp.hBOOL (tptp.hAPP_f1314764175l_bool _let_1 R_2)) (tptp.hBOOL (tptp.hAPP_f1314764175l_bool _let_1 S_4))))) (= R_2 S_4))) (forall ((S_4 $$unsorted) (R_2 $$unsorted)) (= (forall ((X_1 $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_P1517699917l_bool tptp.member1771544038t_char (tptp.hAPP_P1423780764t_char (tptp.hAPP_l309186817t_char tptp.produc1483578759t_char X_1) Xa)))) (= (tptp.hBOOL (tptp.hAPP_f2050077417l_bool _let_1 R_2)) (tptp.hBOOL (tptp.hAPP_f2050077417l_bool _let_1 S_4))))) (= R_2 S_4))) (forall ((S_4 $$unsorted) (R_2 $$unsorted)) (= (forall ((X_1 $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_P1327510541l_bool tptp.member1379348767t_char (tptp.hAPP_l277216047t_char (tptp.hAPP_l352172327t_char tptp.produc1152259904t_char X_1) Xa)))) (= (tptp.hBOOL (tptp.hAPP_f1161798306l_bool _let_1 R_2)) (tptp.hBOOL (tptp.hAPP_f1161798306l_bool _let_1 S_4))))) (= R_2 S_4))) (forall ((S_4 $$unsorted) (R_2 $$unsorted)) (= (forall ((X_1 $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_P1293136973l_bool tptp.member1840112042t_char (tptp.hAPP_e952791821t_char (tptp.hAPP_l796364813t_char tptp.produc1147572817t_char X_1) Xa)))) (= (tptp.hBOOL (tptp.hAPP_f82569901l_bool _let_1 R_2)) (tptp.hBOOL (tptp.hAPP_f82569901l_bool _let_1 S_4))))) (= R_2 S_4))) (forall ((S_4 $$unsorted) (R_2 $$unsorted)) (= (forall ((X_1 $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val X_1) Xa)))) (= (tptp.hBOOL (tptp.hAPP_f1453283057l_bool _let_1 R_2)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool _let_1 S_4))))) (= R_2 S_4))) (forall ((S_4 $$unsorted) (R_2 $$unsorted)) (= (forall ((X_1 $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_P1180869721l_bool tptp.member1251428284t_char (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char X_1) Xa)))) (= (tptp.hBOOL (tptp.hAPP_f2106398425l_bool _let_1 R_2)) (tptp.hBOOL (tptp.hAPP_f2106398425l_bool _let_1 S_4))))) (= R_2 S_4))) (forall ((S_4 $$unsorted) (R_2 $$unsorted)) (= (forall ((X_1 $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_P126004409l_bool tptp.member875476972on_val (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val X_1) Xa)))) (= (tptp.hBOOL (tptp.hAPP_f458849545l_bool _let_1 R_2)) (tptp.hBOOL (tptp.hAPP_f458849545l_bool _let_1 S_4))))) (= R_2 S_4))) (forall ((S_4 $$unsorted) (R_2 $$unsorted)) (= (forall ((X_1 $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_P205570445l_bool tptp.member1467889965t_char (tptp.hAPP_P1224499548t_char (tptp.hAPP_l902950593t_char tptp.produc822965838t_char X_1) Xa)))) (= (tptp.hBOOL (tptp.hAPP_f515912112l_bool _let_1 R_2)) (tptp.hBOOL (tptp.hAPP_f515912112l_bool _let_1 S_4))))) (= R_2 S_4))) (forall ((S_4 $$unsorted) (R_2 $$unsorted)) (= (forall ((X_1 $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_P7095645l_bool tptp.member1601084734t_char (tptp.hAPP_P242904598t_char (tptp.hAPP_l1388836853t_char tptp.produc1331140167t_char X_1) Xa)))) (= (tptp.hBOOL (tptp.hAPP_f483496539l_bool _let_1 R_2)) (tptp.hBOOL (tptp.hAPP_f483496539l_bool _let_1 S_4))))) (= R_2 S_4))) (forall ((Y_4 $$unsorted)) (not (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (not (= Y_4 (tptp.hAPP_e952791821t_char (tptp.hAPP_l796364813t_char tptp.produc1147572817t_char A_1) B_2)))))) (forall ((Y_4 $$unsorted)) (not (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (not (= Y_4 (tptp.hAPP_l277216047t_char (tptp.hAPP_l352172327t_char tptp.produc1152259904t_char A_1) B_2)))))) (forall ((Y_4 $$unsorted)) (not (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (not (= Y_4 (tptp.hAPP_P1423780764t_char (tptp.hAPP_l309186817t_char tptp.produc1483578759t_char A_1) B_2)))))) (forall ((Y_4 $$unsorted)) (not (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (not (= Y_4 (tptp.hAPP_P1224499548t_char (tptp.hAPP_l902950593t_char tptp.produc822965838t_char A_1) B_2)))))) (forall ((Y_4 $$unsorted)) (not (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (not (= Y_4 (tptp.hAPP_e1752110927t_char (tptp.hAPP_l1859255743t_char tptp.produc1916172923t_char A_1) B_2)))))) (forall ((Y_4 $$unsorted)) (not (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (not (= Y_4 (tptp.hAPP_P1392904962t_char (tptp.hAPP_l14371579t_char tptp.produc1909267824t_char A_1) B_2)))))) (forall ((Y_4 $$unsorted)) (not (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (not (= Y_4 (tptp.hAPP_P767818445t_char (tptp.hAPP_l1873467853t_char tptp.produc921874948t_char A_1) B_2)))))) (forall ((Y_2 $$unsorted)) (not (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (not (= Y_2 (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val A_1) B_2)))))) (forall ((Y_2 $$unsorted)) (not (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (not (= Y_2 (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val A_1) B_2)))))) (forall ((Y_4 $$unsorted)) (not (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (not (= Y_4 (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val A_1) B_2)))))) (forall ((Y_4 $$unsorted)) (not (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (=> (tptp.is_bop A_1) (not (= Y_4 (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val A_1) B_2))))))) (forall ((Y_4 $$unsorted)) (not (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (not (= Y_4 (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char A_1) B_2)))))) (forall ((Y_2 $$unsorted)) (not (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (not (= Y_2 (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val A_1) B_2)))))) (forall ((Y_2 $$unsorted)) (not (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (not (= Y_2 (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val A_1) B_2)))))) (forall ((Y_2 $$unsorted)) (not (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (not (= Y_2 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val A_1) B_2)))))) (forall ((Y_2 $$unsorted)) (not (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (not (= Y_2 (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A_1) B_2)))))) (forall ((P_3 $$unsorted)) (not (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (not (= P_3 (tptp.hAPP_e952791821t_char (tptp.hAPP_l796364813t_char tptp.produc1147572817t_char X_1) Y_1)))))) (forall ((P_3 $$unsorted)) (not (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (not (= P_3 (tptp.hAPP_l277216047t_char (tptp.hAPP_l352172327t_char tptp.produc1152259904t_char X_1) Y_1)))))) (forall ((P_3 $$unsorted)) (not (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (not (= P_3 (tptp.hAPP_P1423780764t_char (tptp.hAPP_l309186817t_char tptp.produc1483578759t_char X_1) Y_1)))))) (forall ((P_3 $$unsorted)) (not (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (not (= P_3 (tptp.hAPP_P1224499548t_char (tptp.hAPP_l902950593t_char tptp.produc822965838t_char X_1) Y_1)))))) (forall ((P_3 $$unsorted)) (not (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (not (= P_3 (tptp.hAPP_e1752110927t_char (tptp.hAPP_l1859255743t_char tptp.produc1916172923t_char X_1) Y_1)))))) (forall ((P_3 $$unsorted)) (not (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (not (= P_3 (tptp.hAPP_P1392904962t_char (tptp.hAPP_l14371579t_char tptp.produc1909267824t_char X_1) Y_1)))))) (forall ((P_3 $$unsorted)) (not (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (not (= P_3 (tptp.hAPP_P767818445t_char (tptp.hAPP_l1873467853t_char tptp.produc921874948t_char X_1) Y_1)))))) (forall ((P_1 $$unsorted)) (not (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (not (= P_1 (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val X_1) Y_1)))))) (forall ((P_1 $$unsorted)) (not (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (not (= P_1 (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val X_1) Y_1)))))) (forall ((P_3 $$unsorted)) (not (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (not (= P_3 (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val X_1) Y_1)))))) (forall ((P_3 $$unsorted)) (not (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.is_bop X_1) (not (= P_3 (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val X_1) Y_1))))))) (forall ((P_3 $$unsorted)) (not (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (not (= P_3 (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char X_1) Y_1)))))) (forall ((P_1 $$unsorted)) (not (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (not (= P_1 (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val X_1) Y_1)))))) (forall ((P_1 $$unsorted)) (not (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (not (= P_1 (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val X_1) Y_1)))))) (forall ((P_1 $$unsorted)) (not (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (not (= P_1 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val X_1) Y_1)))))) (forall ((P_1 $$unsorted)) (not (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (not (= P_1 (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val X_1) Y_1)))))) (forall ((Pa $$unsorted)) (= (exists ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P2014166431r_bool Pa X1))) (exists ((A_1 $$unsorted) (B_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P2014166431r_bool Pa (tptp.hAPP_e952791821t_char (tptp.hAPP_l796364813t_char tptp.produc1147572817t_char A_1) B_2)))))) (forall ((Pa $$unsorted)) (= (exists ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P828904212r_bool Pa X1))) (exists ((A_1 $$unsorted) (B_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P828904212r_bool Pa (tptp.hAPP_l277216047t_char (tptp.hAPP_l352172327t_char tptp.produc1152259904t_char A_1) B_2)))))) (forall ((Pa $$unsorted)) (= (exists ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P659547099r_bool Pa X1))) (exists ((A_1 $$unsorted) (B_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P659547099r_bool Pa (tptp.hAPP_P1423780764t_char (tptp.hAPP_l309186817t_char tptp.produc1483578759t_char A_1) B_2)))))) (forall ((Pa $$unsorted)) (= (exists ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1680401186r_bool Pa X1))) (exists ((A_1 $$unsorted) (B_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1680401186r_bool Pa (tptp.hAPP_P1224499548t_char (tptp.hAPP_l902950593t_char tptp.produc822965838t_char A_1) B_2)))))) (forall ((Pa $$unsorted)) (= (exists ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P2118621157r_bool Pa X1))) (exists ((A_1 $$unsorted) (B_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P2118621157r_bool Pa (tptp.hAPP_e1752110927t_char (tptp.hAPP_l1859255743t_char tptp.produc1916172923t_char A_1) B_2)))))) (forall ((Pa $$unsorted)) (= (exists ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1907982426r_bool Pa X1))) (exists ((A_1 $$unsorted) (B_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1907982426r_bool Pa (tptp.hAPP_P1392904962t_char (tptp.hAPP_l14371579t_char tptp.produc1909267824t_char A_1) B_2)))))) (forall ((Pa $$unsorted)) (= (exists ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P92196306r_bool Pa X1))) (exists ((A_1 $$unsorted) (B_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P92196306r_bool Pa (tptp.hAPP_P767818445t_char (tptp.hAPP_l1873467853t_char tptp.produc921874948t_char A_1) B_2)))))) (forall ((Pa $$unsorted)) (= (exists ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P71593144l_bool Pa X1))) (exists ((A_1 $$unsorted) (B_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P71593144l_bool Pa (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val A_1) B_2)))))) (forall ((Pa $$unsorted)) (= (exists ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1333315679l_bool Pa X1))) (exists ((A_1 $$unsorted) (B_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1333315679l_bool Pa (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val A_1) B_2)))))) (forall ((Pa $$unsorted)) (= (exists ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P929938951l_bool Pa X1))) (exists ((A_1 $$unsorted) (B_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P929938951l_bool Pa (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val A_1) B_2)))))) (forall ((Pa $$unsorted)) (= (exists ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P943837928l_bool Pa X1))) (exists ((A_1 $$unsorted) (B_2 $$unsorted)) (and (tptp.is_bop A_1) (tptp.hBOOL (tptp.hAPP_P943837928l_bool Pa (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val A_1) B_2))))))) (forall ((Pa $$unsorted)) (= (exists ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P449474095r_bool Pa X1))) (exists ((A_1 $$unsorted) (B_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P449474095r_bool Pa (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char A_1) B_2)))))) (forall ((Pa $$unsorted)) (= (exists ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1235399154l_bool Pa X1))) (exists ((A_1 $$unsorted) (B_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1235399154l_bool Pa (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val A_1) B_2)))))) (forall ((Pa $$unsorted)) (= (exists ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool Pa X1))) (exists ((A_1 $$unsorted) (B_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool Pa (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val A_1) B_2)))))) (forall ((Pa $$unsorted)) (= (exists ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1708370145l_bool Pa X1))) (exists ((A_1 $$unsorted) (B_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1708370145l_bool Pa (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val A_1) B_2)))))) (forall ((Pa $$unsorted)) (= (exists ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P282169671l_bool Pa X1))) (exists ((A_1 $$unsorted) (B_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P282169671l_bool Pa (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A_1) B_2)))))) (forall ((T_6 $$unsorted) (P_2 $$unsorted) (S_6 $$unsorted) (U_1 $$unsorted)) (let ((_let_1 (tptp.widen_2090681816t_char P_2))) (let ((_let_2 (tptp.hAPP_ty_fun_ty_bool _let_1 S_6))) (=> (tptp.hBOOL (tptp.hAPP_ty_bool _let_2 U_1)) (=> (tptp.hBOOL (tptp.hAPP_ty_bool (tptp.hAPP_ty_fun_ty_bool _let_1 U_1) T_6)) (tptp.hBOOL (tptp.hAPP_ty_bool _let_2 T_6))))))) (tptp.hBOOL (tptp.wTrt_1 tptp.p tptp.ha tptp.e (tptp.block_list_char tptp.v_1 tptp.t_1 (tptp.seq_list_char (tptp.lAss_list_char tptp.v_1 (tptp.hAPP_v834067052t_char tptp.val_list_char tptp.v)) tptp.ea)) tptp.t)) (forall ((Pa $$unsorted) (Ea $$unsorted) (S $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.typeSa1700205512_sconf Pa Ea) S)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_f2121594859l_bool tptp.produc1958875245l_bool (tptp.cOMBS_570216337l_bool (tptp.hAPP_f1523875321l_bool (tptp.hAPP_f592397849l_bool tptp.cOMBB_1718333400on_val tptp.cOMBB_383678192on_val) (tptp.hAPP_f1452292669l_bool (tptp.hAPP_f1977633121l_bool tptp.cOMBB_1303934920on_val tptp.fconj) (tptp.hconf_97414254t_char Pa))) (tptp.hAPP_f550652027l_bool (tptp.hAPP_f838396643l_bool tptp.cOMBC_2027949654l_bool (tptp.hAPP_f857351829l_bool (tptp.hAPP_f348318673l_bool tptp.cOMBB_1518282696on_val tptp.cOMBC_832625297y_bool) (tptp.lconf_496643946t_char Pa))) Ea))) S)))) (forall ((Eb $$unsorted) (Hb $$unsorted) (Lb $$unsorted) (E_b $$unsorted) (H_b $$unsorted) (L_b $$unsorted) (Pa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb) Lb))) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_b) L_b)))) (tptp.red Pa))) (tptp.hBOOL (tptp.hext Hb H_b)))) (forall ((Eb $$unsorted) (Hb $$unsorted) (Lb $$unsorted) (E_b $$unsorted) (H_b $$unsorted) (L_b $$unsorted) (Pa $$unsorted)) (=> (tptp.hBOOL (tptp.wf_pro755087577t_char tptp.wf_J_mdecl Pa)) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb) Lb))) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_b) L_b)))) (tptp.red Pa))) (=> (tptp.hBOOL (tptp.d_list_char Eb (tptp.hAPP_f363827556r_bool tptp.some_f80346385r_bool (tptp.dom_list_char_val Lb)))) (tptp.hBOOL (tptp.d_list_char E_b (tptp.hAPP_f363827556r_bool tptp.some_f80346385r_bool (tptp.dom_list_char_val L_b)))))))) (forall ((A $$unsorted) (A_3 $$unsorted)) (= (= (tptp.hAPP_nat_option_nat tptp.some_nat A) (tptp.hAPP_nat_option_nat tptp.some_nat A_3)) (= A A_3))) (forall ((A $$unsorted) (A_3 $$unsorted)) (= (= (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val A) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val A_3)) (= A A_3))) (forall ((A $$unsorted) (A_3 $$unsorted)) (= (= (tptp.hAPP_ty_option_ty tptp.some_ty A) (tptp.hAPP_ty_option_ty tptp.some_ty A_3)) (= A A_3))) (forall ((A $$unsorted) (A_3 $$unsorted)) (= (= (tptp.hAPP_f363827556r_bool tptp.some_f80346385r_bool A) (tptp.hAPP_f363827556r_bool tptp.some_f80346385r_bool A_3)) (= A A_3))) (forall ((A $$unsorted) (A_3 $$unsorted)) (= (= (tptp.hAPP_val_option_val tptp.some_val A) (tptp.hAPP_val_option_val tptp.some_val A_3)) (= A A_3))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P2014166431r_bool F_1 (tptp.hAPP_e952791821t_char (tptp.hAPP_l796364813t_char tptp.produc1147572817t_char A) B))) (tptp.hBOOL (tptp.hAPP_e544220455r_bool (tptp.hAPP_l214204733r_bool (tptp.produc288369490r_bool F_1) A) B)))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P828904212r_bool F_1 (tptp.hAPP_l277216047t_char (tptp.hAPP_l352172327t_char tptp.produc1152259904t_char A) B))) (tptp.hBOOL (tptp.hAPP_l902158906r_bool (tptp.hAPP_l24694616r_bool (tptp.produc2116052801r_bool F_1) A) B)))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P659547099r_bool F_1 (tptp.hAPP_P1423780764t_char (tptp.hAPP_l309186817t_char tptp.produc1483578759t_char A) B))) (tptp.hBOOL (tptp.hAPP_P828904212r_bool (tptp.hAPP_l1342015621r_bool (tptp.produc266042248r_bool F_1) A) B)))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P1680401186r_bool F_1 (tptp.hAPP_P1224499548t_char (tptp.hAPP_l902950593t_char tptp.produc822965838t_char A) B))) (tptp.hBOOL (tptp.hAPP_P659547099r_bool (tptp.hAPP_l2140727500r_bool (tptp.produc1588781647r_bool F_1) A) B)))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P2118621157r_bool F_1 (tptp.hAPP_e1752110927t_char (tptp.hAPP_l1859255743t_char tptp.produc1916172923t_char A) B))) (tptp.hBOOL (tptp.hAPP_e544220455r_bool (tptp.hAPP_l1062423959r_bool (tptp.produc550034914r_bool F_1) A) B)))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P1907982426r_bool F_1 (tptp.hAPP_P1392904962t_char (tptp.hAPP_l14371579t_char tptp.produc1909267824t_char A) B))) (tptp.hBOOL (tptp.hAPP_P2118621157r_bool (tptp.hAPP_l1987619678r_bool (tptp.produc156891095r_bool F_1) A) B)))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P92196306r_bool F_1 (tptp.hAPP_P767818445t_char (tptp.hAPP_l1873467853t_char tptp.produc921874948t_char A) B))) (tptp.hBOOL (tptp.hAPP_P1907982426r_bool (tptp.hAPP_l217977712r_bool (tptp.produc1574020101r_bool F_1) A) B)))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P71593144l_bool F_1 (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val A) B))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_l146377954l_bool (tptp.produc1838470831l_bool F_1) A) B)))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P1333315679l_bool F_1 (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val A) B))) (tptp.hBOOL (tptp.hAPP_P71593144l_bool (tptp.hAPP_P1183008383l_bool (tptp.produc2053127004l_bool F_1) A) B)))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P929938951l_bool F_1 (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val A) B))) (tptp.hBOOL (tptp.hAPP_val_bool (tptp.hAPP_v1392248405l_bool (tptp.produc886919678l_bool F_1) A) B)))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P943837928l_bool F_1 (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val A) B))) (tptp.hBOOL (tptp.hAPP_P929938951l_bool (tptp.hAPP_b97269396l_bool (tptp.produc1555310053l_bool F_1) A) B)))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P449474095r_bool F_1 (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char A) B))) (tptp.hBOOL (tptp.hAPP_list_char_bool (tptp.hAPP_l1361600383r_bool (tptp.produc95371820r_bool F_1) A) B)))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P1235399154l_bool F_1 (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val A) B))) (tptp.hBOOL (tptp.hAPP_f1715346603l_bool (tptp.hAPP_l465799708l_bool (tptp.produc481748255l_bool F_1) A) B)))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool F_1 (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val A) B))) (tptp.hBOOL (tptp.hAPP_f1033709212l_bool (tptp.hAPP_f1175813647l_bool (tptp.produc2062775566l_bool F_1) A) B)))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P1708370145l_bool F_1 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val A) B))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.produc1911975310l_bool F_1) A) B)))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P282169671l_bool F_1 (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A) B))) (tptp.hBOOL (tptp.hAPP_P1708370145l_bool (tptp.hAPP_P1116729363l_bool (tptp.produc1159035454l_bool F_1) A) B)))) (forall ((L_0 $$unsorted) (Eb $$unsorted) (Hb $$unsorted) (Lb $$unsorted) (E_b $$unsorted) (H_b $$unsorted) (L_b $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.red Pa))) (let ((_let_2 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_b))) (let ((_let_3 (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b))) (let ((_let_4 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb))) (let ((_let_5 (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val _let_5 (tptp.hAPP_f1727192346on_val _let_4 Lb))) (tptp.hAPP_P604205461on_val _let_3 (tptp.hAPP_f1727192346on_val _let_2 L_b)))) _let_1)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val _let_5 (tptp.hAPP_f1727192346on_val _let_4 (tptp.map_ad325961431ar_val L_0 Lb)))) (tptp.hAPP_P604205461on_val _let_3 (tptp.hAPP_f1727192346on_val _let_2 (tptp.map_ad325961431ar_val L_0 L_b))))) _let_1))))))))) (forall ((Va_1 $$unsorted) (Va $$unsorted) (Ta $$unsorted) (Pa $$unsorted) (Hb $$unsorted) (Lb $$unsorted) (Ea $$unsorted)) (let ((_let_1 (tptp.hAPP_f1213370163y_bool (tptp.lconf_496643946t_char Pa) Hb))) (=> (tptp.hBOOL (tptp.hAPP_f1001225811y_bool (tptp.hAPP_f2060496320y_bool _let_1 Lb) Ea)) (=> (tptp.hBOOL (tptp.conf_P373316194t_char Pa Hb Va Ta)) (=> (= (tptp.hAPP_l512744617ion_ty Ea Va_1) (tptp.hAPP_ty_option_ty tptp.some_ty Ta)) (tptp.hBOOL (tptp.hAPP_f1001225811y_bool (tptp.hAPP_f2060496320y_bool _let_1 (tptp.fun_up1149430426on_val Lb Va_1 (tptp.hAPP_val_option_val tptp.some_val Va))) Ea))))))) (forall ((Va_1 $$unsorted) (Va $$unsorted) (Ta $$unsorted) (Pa $$unsorted) (Hb $$unsorted) (Lb $$unsorted) (Ea $$unsorted)) (let ((_let_1 (tptp.hAPP_f1213370163y_bool (tptp.lconf_496643946t_char Pa) Hb))) (=> (tptp.hBOOL (tptp.hAPP_f1001225811y_bool (tptp.hAPP_f2060496320y_bool _let_1 Lb) Ea)) (=> (tptp.hBOOL (tptp.conf_P373316194t_char Pa Hb Va Ta)) (tptp.hBOOL (tptp.hAPP_f1001225811y_bool (tptp.hAPP_f2060496320y_bool _let_1 (tptp.fun_up1149430426on_val Lb Va_1 (tptp.hAPP_val_option_val tptp.some_val Va))) (tptp.fun_up424764369ion_ty Ea Va_1 (tptp.hAPP_ty_option_ty tptp.some_ty Ta)))))))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted) (R_1 $$unsorted) (S $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.hAPP_P126004409l_bool tptp.member875476972on_val (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val A) B)) (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val A_3) B_3))) (tptp.lex_pr1541028704on_val R_1 S))) (or (tptp.hBOOL (tptp.hAPP_f1734260017l_bool (tptp.hAPP_P53416969l_bool tptp.member894971540t_char (tptp.hAPP_l1648260346t_char (tptp.hAPP_l1105836155t_char tptp.produc1237966615t_char A) A_3)) R_1)) (and (= A A_3) (tptp.hBOOL (tptp.hAPP_f1297673713l_bool (tptp.hAPP_P240409993l_bool tptp.member563141460on_val (tptp.hAPP_P291613419on_val (tptp.hAPP_P265246237on_val tptp.produc870913623on_val B) B_3)) S)))))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted) (R_1 $$unsorted) (S $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val A) B)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val A_3) B_3))) (tptp.lex_pr69619957on_val R_1 S))) (or (tptp.hBOOL (tptp.hAPP_f588675559l_bool (tptp.hAPP_P1860450421l_bool tptp.member1199939018t_char (tptp.hAPP_e817857447t_char (tptp.hAPP_e1376201919t_char tptp.produc943465171t_char A) A_3)) R_1)) (and (= A A_3) (tptp.hBOOL (tptp.hAPP_f1297673713l_bool (tptp.hAPP_P240409993l_bool tptp.member563141460on_val (tptp.hAPP_P291613419on_val (tptp.hAPP_P265246237on_val tptp.produc870913623on_val B) B_3)) S)))))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted) (R_1 $$unsorted) (S $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f595031537l_bool (tptp.hAPP_P1862681481l_bool tptp.member1999287380t_char (tptp.hAPP_P1342907945t_char (tptp.hAPP_P91410073t_char tptp.produc1897818327t_char (tptp.hAPP_e952791821t_char (tptp.hAPP_l796364813t_char tptp.produc1147572817t_char A) B)) (tptp.hAPP_e952791821t_char (tptp.hAPP_l796364813t_char tptp.produc1147572817t_char A_3) B_3))) (tptp.lex_pr1787105337t_char R_1 S))) (or (tptp.hBOOL (tptp.hAPP_f479632753l_bool (tptp.hAPP_P153687689l_bool tptp.member817832404t_char (tptp.hAPP_l1883348915t_char (tptp.hAPP_l2019537453t_char tptp.produc2035944023t_char A) A_3)) R_1)) (and (= A A_3) (tptp.hBOOL (tptp.hAPP_f588675559l_bool (tptp.hAPP_P1860450421l_bool tptp.member1199939018t_char (tptp.hAPP_e817857447t_char (tptp.hAPP_e1376201919t_char tptp.produc943465171t_char B) B_3)) S)))))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted) (R_1 $$unsorted) (S $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f126445617l_bool (tptp.hAPP_P1313790473l_bool tptp.member1551446420t_char (tptp.hAPP_P1247668062t_char (tptp.hAPP_P1756548163t_char tptp.produc635935767t_char (tptp.hAPP_l277216047t_char (tptp.hAPP_l352172327t_char tptp.produc1152259904t_char A) B)) (tptp.hAPP_l277216047t_char (tptp.hAPP_l352172327t_char tptp.produc1152259904t_char A_3) B_3))) (tptp.lex_pr213428520t_char R_1 S))) (or (tptp.hBOOL (tptp.hAPP_f288221747l_bool (tptp.hAPP_P569585933l_bool tptp.member520253462har_ty (tptp.hAPP_l1294856089har_ty (tptp.hAPP_l1657578379har_ty tptp.produc1860789535har_ty A) A_3)) R_1)) (and (= A A_3) (tptp.hBOOL (tptp.hAPP_f1748390065l_bool (tptp.hAPP_P1503283977l_bool tptp.member1580476948t_char (tptp.hAPP_l1334098948t_char (tptp.hAPP_l1450984463t_char tptp.produc436875159t_char B) B_3)) S)))))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted) (R_1 $$unsorted) (S $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f272179441l_bool (tptp.hAPP_P396425609l_bool tptp.member1607118676t_char (tptp.hAPP_P579374437t_char (tptp.hAPP_P777914897t_char tptp.produc1431439831t_char (tptp.hAPP_P1423780764t_char (tptp.hAPP_l309186817t_char tptp.produc1483578759t_char A) B)) (tptp.hAPP_P1423780764t_char (tptp.hAPP_l309186817t_char tptp.produc1483578759t_char A_3) B_3))) (tptp.lex_pr167435119t_char R_1 S))) (or (tptp.hBOOL (tptp.hAPP_f2106398425l_bool (tptp.hAPP_P1180869721l_bool tptp.member1251428284t_char (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char A) A_3)) R_1)) (and (= A A_3) (tptp.hBOOL (tptp.hAPP_f126445617l_bool (tptp.hAPP_P1313790473l_bool tptp.member1551446420t_char (tptp.hAPP_P1247668062t_char (tptp.hAPP_P1756548163t_char tptp.produc635935767t_char B) B_3)) S)))))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted) (R_1 $$unsorted) (S $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f538118321l_bool (tptp.hAPP_P1390376713l_bool tptp.member162552852t_char (tptp.hAPP_P991802092t_char (tptp.hAPP_P1958775007t_char tptp.produc1641293463t_char (tptp.hAPP_P1224499548t_char (tptp.hAPP_l902950593t_char tptp.produc822965838t_char A) B)) (tptp.hAPP_P1224499548t_char (tptp.hAPP_l902950593t_char tptp.produc822965838t_char A_3) B_3))) (tptp.lex_pr1668767798t_char R_1 S))) (or (tptp.hBOOL (tptp.hAPP_f2106398425l_bool (tptp.hAPP_P1180869721l_bool tptp.member1251428284t_char (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char A) A_3)) R_1)) (and (= A A_3) (tptp.hBOOL (tptp.hAPP_f272179441l_bool (tptp.hAPP_P396425609l_bool tptp.member1607118676t_char (tptp.hAPP_P579374437t_char (tptp.hAPP_P777914897t_char tptp.produc1431439831t_char B) B_3)) S)))))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted) (R_1 $$unsorted) (S $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1145574243l_bool (tptp.hAPP_P2139822957l_bool tptp.member1161907014t_char (tptp.hAPP_P1220989409t_char (tptp.hAPP_P1668407995t_char tptp.produc1299387215t_char (tptp.hAPP_e1752110927t_char (tptp.hAPP_l1859255743t_char tptp.produc1916172923t_char A) B)) (tptp.hAPP_e1752110927t_char (tptp.hAPP_l1859255743t_char tptp.produc1916172923t_char A_3) B_3))) (tptp.lex_pr307591827t_char R_1 S))) (or (tptp.hBOOL (tptp.hAPP_f348753975l_bool (tptp.hAPP_P1033205013l_bool tptp.member273646106st_val (tptp.hAPP_l1249476511st_val (tptp.hAPP_l103437071st_val tptp.produc2078839843st_val A) A_3)) R_1)) (and (= A A_3) (tptp.hBOOL (tptp.hAPP_f588675559l_bool (tptp.hAPP_P1860450421l_bool tptp.member1199939018t_char (tptp.hAPP_e817857447t_char (tptp.hAPP_e1376201919t_char tptp.produc943465171t_char B) B_3)) S)))))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted) (R_1 $$unsorted) (S $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f258424141l_bool (tptp.hAPP_P409642305l_bool tptp.member125098544t_char (tptp.hAPP_P1333668416t_char (tptp.hAPP_P1859316965t_char tptp.produc57279289t_char (tptp.hAPP_P1392904962t_char (tptp.hAPP_l14371579t_char tptp.produc1909267824t_char A) B)) (tptp.hAPP_P1392904962t_char (tptp.hAPP_l14371579t_char tptp.produc1909267824t_char A_3) B_3))) (tptp.lex_pr1588300168t_char R_1 S))) (or (tptp.hBOOL (tptp.hAPP_f433445541l_bool (tptp.hAPP_P1019319281l_bool tptp.member104734088ist_ty (tptp.hAPP_l1319068228ist_ty (tptp.hAPP_l1770520637ist_ty tptp.produc512429457ist_ty A) A_3)) R_1)) (and (= A A_3) (tptp.hBOOL (tptp.hAPP_f1145574243l_bool (tptp.hAPP_P2139822957l_bool tptp.member1161907014t_char (tptp.hAPP_P1220989409t_char (tptp.hAPP_P1668407995t_char tptp.produc1299387215t_char B) B_3)) S)))))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted) (R_1 $$unsorted) (S $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f528956081l_bool (tptp.hAPP_P325013257l_bool tptp.member1420286996t_char (tptp.hAPP_P1539798428t_char (tptp.hAPP_P719127871t_char tptp.produc24551831t_char (tptp.hAPP_P767818445t_char (tptp.hAPP_l1873467853t_char tptp.produc921874948t_char A) B)) (tptp.hAPP_P767818445t_char (tptp.hAPP_l1873467853t_char tptp.produc921874948t_char A_3) B_3))) (tptp.lex_pr1876288492t_char R_1 S))) (or (tptp.hBOOL (tptp.hAPP_f479632753l_bool (tptp.hAPP_P153687689l_bool tptp.member817832404t_char (tptp.hAPP_l1883348915t_char (tptp.hAPP_l2019537453t_char tptp.produc2035944023t_char A) A_3)) R_1)) (and (= A A_3) (tptp.hBOOL (tptp.hAPP_f258424141l_bool (tptp.hAPP_P409642305l_bool tptp.member125098544t_char (tptp.hAPP_P1333668416t_char (tptp.hAPP_P1859316965t_char tptp.produc57279289t_char B) B_3)) S)))))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted) (R_1 $$unsorted) (S $$unsorted)) (let ((_let_1 (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val A))) (= (tptp.hBOOL (tptp.hAPP_f1980787287l_bool (tptp.hAPP_P274544981l_bool tptp.member88670778on_val (tptp.hAPP_P1758592847on_val (tptp.hAPP_P2015431471on_val tptp.produc1951691075on_val (tptp.hAPP_P658340954on_val _let_1 B)) (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val A_3) B_3))) (tptp.lex_pr2110711565on_val R_1 S))) (or (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.hAPP_P126004409l_bool tptp.member875476972on_val (tptp.hAPP_P658340954on_val _let_1 A_3)) R_1)) (and (= A A_3) (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.hAPP_P126004409l_bool tptp.member875476972on_val (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val B) B_3)) S))))))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted) (R_1 $$unsorted) (S $$unsorted)) (let ((_let_1 (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val A))) (= (tptp.hBOOL (tptp.hAPP_f2129782055l_bool (tptp.hAPP_P124661l_bool tptp.member837208074al_val (tptp.hAPP_P47773639al_val (tptp.hAPP_P1874979071al_val tptp.produc1244920211al_val (tptp.hAPP_v852496844al_val _let_1 B)) (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val A_3) B_3))) (tptp.lex_prod_val_val R_1 S))) (or (tptp.hBOOL (tptp.hAPP_f2028441009l_bool (tptp.hAPP_P530382601l_bool tptp.member649088532al_val (tptp.hAPP_v852496844al_val _let_1 A_3)) R_1)) (and (= A A_3) (tptp.hBOOL (tptp.hAPP_f2028441009l_bool (tptp.hAPP_P530382601l_bool tptp.member649088532al_val (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val B) B_3)) S))))))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted) (R_1 $$unsorted) (S $$unsorted)) (=> (and (tptp.is_bop A) (tptp.is_bop A_3)) (= (tptp.hBOOL (tptp.hAPP_f126136681l_bool (tptp.hAPP_P982127993l_bool tptp.member1732271180al_val (tptp.hAPP_P2123720426al_val (tptp.hAPP_P1538518401al_val tptp.produc1924279125al_val (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val A) B)) (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val A_3) B_3))) (tptp.lex_pr1932514710al_val R_1 S))) (or (tptp.hBOOL (tptp.hAPP_f1854361213l_bool (tptp.hAPP_P1034346913l_bool tptp.member978285664op_bop (tptp.hAPP_b1909667208op_bop (tptp.hAPP_b1058859669op_bop tptp.product_Pair_bop_bop A) A_3)) R_1)) (and (= A A_3) (tptp.hBOOL (tptp.hAPP_f2129782055l_bool (tptp.hAPP_P124661l_bool tptp.member837208074al_val (tptp.hAPP_P47773639al_val (tptp.hAPP_P1874979071al_val tptp.produc1244920211al_val B) B_3)) S))))))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted) (R_1 $$unsorted) (S $$unsorted)) (let ((_let_1 (tptp.hAPP_l208357873t_char tptp.produc5062597t_char A))) (= (tptp.hBOOL (tptp.hAPP_f851858423l_bool (tptp.hAPP_P786771093l_bool tptp.member794220506t_char (tptp.hAPP_P1657265855t_char (tptp.hAPP_P1071727823t_char tptp.produc2080520419t_char (tptp.hAPP_l2100324114t_char _let_1 B)) (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char A_3) B_3))) (tptp.lex_pr280535005t_char R_1 S))) (or (tptp.hBOOL (tptp.hAPP_f2106398425l_bool (tptp.hAPP_P1180869721l_bool tptp.member1251428284t_char (tptp.hAPP_l2100324114t_char _let_1 A_3)) R_1)) (and (= A A_3) (tptp.hBOOL (tptp.hAPP_f2106398425l_bool (tptp.hAPP_P1180869721l_bool tptp.member1251428284t_char (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char B) B_3)) S))))))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted) (R_1 $$unsorted) (S $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f665343921l_bool (tptp.hAPP_P502294281l_bool tptp.member1322055188on_val (tptp.hAPP_P330218428on_val (tptp.hAPP_P1875010047on_val tptp.produc499151895on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val A) B)) (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val A_3) B_3))) (tptp.lex_pr1971266694on_val R_1 S))) (or (tptp.hBOOL (tptp.hAPP_f2106398425l_bool (tptp.hAPP_P1180869721l_bool tptp.member1251428284t_char (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char A) A_3)) R_1)) (and (= A A_3) (tptp.hBOOL (tptp.hAPP_f983152497l_bool (tptp.hAPP_P1953134729l_bool tptp.member781783252on_val (tptp.hAPP_f1146435765on_val (tptp.hAPP_f1744304433on_val tptp.produc1618304727on_val B) B_3)) S)))))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted) (R_1 $$unsorted) (S $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1297673713l_bool (tptp.hAPP_P240409993l_bool tptp.member563141460on_val (tptp.hAPP_P291613419on_val (tptp.hAPP_P265246237on_val tptp.produc870913623on_val (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val A) B)) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val A_3) B_3))) (tptp.lex_pr731210613on_val R_1 S))) (or (tptp.hBOOL (tptp.hAPP_f1754555101l_bool (tptp.hAPP_P1679186017l_bool tptp.member1337019328on_val (tptp.hAPP_f368284312on_val (tptp.hAPP_f1805337205on_val tptp.produc1712663241on_val A) A_3)) R_1)) (and (= A A_3) (tptp.hBOOL (tptp.hAPP_f1661305905l_bool (tptp.hAPP_P1878549513l_bool tptp.member490182804on_val (tptp.hAPP_f1741070310on_val (tptp.hAPP_f864891091on_val tptp.produc1960514199on_val B) B_3)) S)))))) (forall ((A $$unsorted) (B $$unsorted) (A_3 $$unsorted) (B_3 $$unsorted) (R_1 $$unsorted) (S $$unsorted)) (let ((_let_1 (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A))) (= (tptp.hBOOL (tptp.hAPP_f1261741735l_bool (tptp.hAPP_P1362631157l_bool tptp.member808015754on_val (tptp.hAPP_P1486793863on_val (tptp.hAPP_P2077211775on_val tptp.produc1564932627on_val (tptp.hAPP_P1886180715on_val _let_1 B)) (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A_3) B_3))) (tptp.lex_pr1038007919on_val R_1 S))) (or (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val _let_1 A_3)) R_1)) (and (= A A_3) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val B) B_3)) S))))))) (forall ((F1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_e544220455r_bool (tptp.hAPP_l214204733r_bool F1 A) B)) (tptp.hBOOL (tptp.hAPP_P2014166431r_bool (tptp.hAPP_f1484794973r_bool tptp.produc1732333873r_bool F1) (tptp.hAPP_e952791821t_char (tptp.hAPP_l796364813t_char tptp.produc1147572817t_char A) B))))) (forall ((F1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_l902158906r_bool (tptp.hAPP_l24694616r_bool F1 A) B)) (tptp.hBOOL (tptp.hAPP_P828904212r_bool (tptp.hAPP_f895126887r_bool tptp.produc1596557472r_bool F1) (tptp.hAPP_l277216047t_char (tptp.hAPP_l352172327t_char tptp.produc1152259904t_char A) B))))) (forall ((F1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P828904212r_bool (tptp.hAPP_l1342015621r_bool F1 A) B)) (tptp.hBOOL (tptp.hAPP_P659547099r_bool (tptp.hAPP_f252398939r_bool tptp.produc1324280167r_bool F1) (tptp.hAPP_P1423780764t_char (tptp.hAPP_l309186817t_char tptp.produc1483578759t_char A) B))))) (forall ((F1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P659547099r_bool (tptp.hAPP_l2140727500r_bool F1 A) B)) (tptp.hBOOL (tptp.hAPP_P1680401186r_bool (tptp.hAPP_f952817385r_bool tptp.produc723279022r_bool F1) (tptp.hAPP_P1224499548t_char (tptp.hAPP_l902950593t_char tptp.produc822965838t_char A) B))))) (forall ((F1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_e544220455r_bool (tptp.hAPP_l1062423959r_bool F1 A) B)) (tptp.hBOOL (tptp.hAPP_P2118621157r_bool (tptp.hAPP_f1697332217r_bool tptp.produc21910851r_bool F1) (tptp.hAPP_e1752110927t_char (tptp.hAPP_l1859255743t_char tptp.produc1916172923t_char A) B))))) (forall ((F1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P2118621157r_bool (tptp.hAPP_l1987619678r_bool F1 A) B)) (tptp.hBOOL (tptp.hAPP_P1907982426r_bool (tptp.hAPP_f102021095r_bool tptp.produc154616760r_bool F1) (tptp.hAPP_P1392904962t_char (tptp.hAPP_l14371579t_char tptp.produc1909267824t_char A) B))))) (forall ((F1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P1907982426r_bool (tptp.hAPP_l217977712r_bool F1 A) B)) (tptp.hBOOL (tptp.hAPP_P92196306r_bool (tptp.hAPP_f1613448899r_bool tptp.produc2027921764r_bool F1) (tptp.hAPP_P767818445t_char (tptp.hAPP_l1873467853t_char tptp.produc921874948t_char A) B))))) (forall ((F1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_l146377954l_bool F1 A) B)) (tptp.hBOOL (tptp.hAPP_P71593144l_bool (tptp.hAPP_f1634841927l_bool tptp.produc1491230096l_bool F1) (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val A) B))))) (forall ((F1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P71593144l_bool (tptp.hAPP_P1183008383l_bool F1 A) B)) (tptp.hBOOL (tptp.hAPP_P1333315679l_bool (tptp.hAPP_f1525114763l_bool tptp.produc70644925l_bool F1) (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val A) B))))) (forall ((F1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_val_bool (tptp.hAPP_v1392248405l_bool F1 A) B)) (tptp.hBOOL (tptp.hAPP_P929938951l_bool (tptp.hAPP_f1534412387l_bool tptp.produc769963999l_bool F1) (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val A) B))))) (forall ((F1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P929938951l_bool (tptp.hAPP_b97269396l_bool F1 A) B)) (tptp.hBOOL (tptp.hAPP_P943837928l_bool (tptp.hAPP_f340876351l_bool tptp.produc1326056646l_bool F1) (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val A) B))))) (forall ((F1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_list_char_bool (tptp.hAPP_l1361600383r_bool F1 A) B)) (tptp.hBOOL (tptp.hAPP_P449474095r_bool (tptp.hAPP_f2132060507r_bool tptp.produc1704639885r_bool F1) (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char A) B))))) (forall ((F1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1715346603l_bool (tptp.hAPP_l465799708l_bool F1 A) B)) (tptp.hBOOL (tptp.hAPP_P1235399154l_bool (tptp.hAPP_f1443410953l_bool tptp.produc392960766l_bool F1) (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val A) B))))) (forall ((F1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1033709212l_bool (tptp.hAPP_f1175813647l_bool F1 A) B)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_f2121594859l_bool tptp.produc1958875245l_bool F1) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val A) B))))) (forall ((F1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool F1 A) B)) (tptp.hBOOL (tptp.hAPP_P1708370145l_bool (tptp.hAPP_f1930574389l_bool tptp.produc1815960045l_bool F1) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val A) B))))) (forall ((F1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P1708370145l_bool (tptp.hAPP_P1116729363l_bool F1 A) B)) (tptp.hBOOL (tptp.hAPP_P282169671l_bool (tptp.hAPP_f635218277l_bool tptp.produc1911463199l_bool F1) (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A) B))))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_e544220455r_bool (tptp.hAPP_l214204733r_bool F_1 A) B)) (tptp.hBOOL (tptp.hAPP_P2014166431r_bool (tptp.hAPP_f1484794973r_bool tptp.produc1732333873r_bool F_1) (tptp.hAPP_e952791821t_char (tptp.hAPP_l796364813t_char tptp.produc1147572817t_char A) B))))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_l902158906r_bool (tptp.hAPP_l24694616r_bool F_1 A) B)) (tptp.hBOOL (tptp.hAPP_P828904212r_bool (tptp.hAPP_f895126887r_bool tptp.produc1596557472r_bool F_1) (tptp.hAPP_l277216047t_char (tptp.hAPP_l352172327t_char tptp.produc1152259904t_char A) B))))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P828904212r_bool (tptp.hAPP_l1342015621r_bool F_1 A) B)) (tptp.hBOOL (tptp.hAPP_P659547099r_bool (tptp.hAPP_f252398939r_bool tptp.produc1324280167r_bool F_1) (tptp.hAPP_P1423780764t_char (tptp.hAPP_l309186817t_char tptp.produc1483578759t_char A) B))))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P659547099r_bool (tptp.hAPP_l2140727500r_bool F_1 A) B)) (tptp.hBOOL (tptp.hAPP_P1680401186r_bool (tptp.hAPP_f952817385r_bool tptp.produc723279022r_bool F_1) (tptp.hAPP_P1224499548t_char (tptp.hAPP_l902950593t_char tptp.produc822965838t_char A) B))))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_e544220455r_bool (tptp.hAPP_l1062423959r_bool F_1 A) B)) (tptp.hBOOL (tptp.hAPP_P2118621157r_bool (tptp.hAPP_f1697332217r_bool tptp.produc21910851r_bool F_1) (tptp.hAPP_e1752110927t_char (tptp.hAPP_l1859255743t_char tptp.produc1916172923t_char A) B))))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P2118621157r_bool (tptp.hAPP_l1987619678r_bool F_1 A) B)) (tptp.hBOOL (tptp.hAPP_P1907982426r_bool (tptp.hAPP_f102021095r_bool tptp.produc154616760r_bool F_1) (tptp.hAPP_P1392904962t_char (tptp.hAPP_l14371579t_char tptp.produc1909267824t_char A) B))))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P1907982426r_bool (tptp.hAPP_l217977712r_bool F_1 A) B)) (tptp.hBOOL (tptp.hAPP_P92196306r_bool (tptp.hAPP_f1613448899r_bool tptp.produc2027921764r_bool F_1) (tptp.hAPP_P767818445t_char (tptp.hAPP_l1873467853t_char tptp.produc921874948t_char A) B))))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_l146377954l_bool F_1 A) B)) (tptp.hBOOL (tptp.hAPP_P71593144l_bool (tptp.hAPP_f1634841927l_bool tptp.produc1491230096l_bool F_1) (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val A) B))))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P71593144l_bool (tptp.hAPP_P1183008383l_bool F_1 A) B)) (tptp.hBOOL (tptp.hAPP_P1333315679l_bool (tptp.hAPP_f1525114763l_bool tptp.produc70644925l_bool F_1) (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val A) B))))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_val_bool (tptp.hAPP_v1392248405l_bool F_1 A) B)) (tptp.hBOOL (tptp.hAPP_P929938951l_bool (tptp.hAPP_f1534412387l_bool tptp.produc769963999l_bool F_1) (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val A) B))))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P929938951l_bool (tptp.hAPP_b97269396l_bool F_1 A) B)) (tptp.hBOOL (tptp.hAPP_P943837928l_bool (tptp.hAPP_f340876351l_bool tptp.produc1326056646l_bool F_1) (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val A) B))))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_list_char_bool (tptp.hAPP_l1361600383r_bool F_1 A) B)) (tptp.hBOOL (tptp.hAPP_P449474095r_bool (tptp.hAPP_f2132060507r_bool tptp.produc1704639885r_bool F_1) (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char A) B))))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1715346603l_bool (tptp.hAPP_l465799708l_bool F_1 A) B)) (tptp.hBOOL (tptp.hAPP_P1235399154l_bool (tptp.hAPP_f1443410953l_bool tptp.produc392960766l_bool F_1) (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val A) B))))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1033709212l_bool (tptp.hAPP_f1175813647l_bool F_1 A) B)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_f2121594859l_bool tptp.produc1958875245l_bool F_1) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val A) B))))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool F_1 A) B)) (tptp.hBOOL (tptp.hAPP_P1708370145l_bool (tptp.hAPP_f1930574389l_bool tptp.produc1815960045l_bool F_1) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val A) B))))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P1708370145l_bool (tptp.hAPP_P1116729363l_bool F_1 A) B)) (tptp.hBOOL (tptp.hAPP_P282169671l_bool (tptp.hAPP_f635218277l_bool tptp.produc1911463199l_bool F_1) (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A) B))))) (forall ((L1 $$unsorted) (M_1 $$unsorted) (L2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat M_1) (tptp.dom_na996029170on_val L2))) (= (tptp.hAPP_n546249108on_val (tptp.map_ad61982421on_val L1 L2) M_1) (tptp.hAPP_n546249108on_val L2 M_1)))) (forall ((L1 $$unsorted) (M_1 $$unsorted) (L2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f986089162l_bool (tptp.hAPP_l1903254203l_bool tptp.member_list_char M_1) (tptp.dom_list_char_val L2))) (= (tptp.hAPP_l207779698on_val (tptp.map_ad325961431ar_val L1 L2) M_1) (tptp.hAPP_l207779698on_val L2 M_1)))) (forall ((C_2 $$unsorted) (P_1 $$unsorted) (Q_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_f46308763ion_ty tptp.produc907433735ion_ty C_2))) (=> (= P_1 Q_2) (= (tptp.hAPP_P1228500987ion_ty _let_1 P_1) (tptp.hAPP_P1228500987ion_ty _let_1 Q_2))))) (forall ((C_2 $$unsorted) (P_1 $$unsorted) (Q_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_f2121594859l_bool tptp.produc1958875245l_bool C_2))) (=> (= P_1 Q_2) (= (tptp.hBOOL (tptp.hAPP_P159683425l_bool _let_1 P_1)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool _let_1 Q_2)))))) (forall ((L1 $$unsorted) (M_1 $$unsorted) (L2 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat M_1) (tptp.dom_na996029170on_val L2)))) (= (tptp.hAPP_n546249108on_val (tptp.map_ad61982421on_val L1 L2) M_1) (tptp.hAPP_n546249108on_val L1 M_1)))) (forall ((L1 $$unsorted) (M_1 $$unsorted) (L2 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_f986089162l_bool (tptp.hAPP_l1903254203l_bool tptp.member_list_char M_1) (tptp.dom_list_char_val L2)))) (= (tptp.hAPP_l207779698on_val (tptp.map_ad325961431ar_val L1 L2) M_1) (tptp.hAPP_l207779698on_val L1 M_1)))) (forall ((L2 $$unsorted) (M_1 $$unsorted) (L1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat M_1) (tptp.dom_na996029170on_val L1)))) (= (tptp.hAPP_n546249108on_val (tptp.map_ad61982421on_val L1 L2) M_1) (tptp.hAPP_n546249108on_val L2 M_1)))) (forall ((L2 $$unsorted) (M_1 $$unsorted) (L1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_f986089162l_bool (tptp.hAPP_l1903254203l_bool tptp.member_list_char M_1) (tptp.dom_list_char_val L1)))) (= (tptp.hAPP_l207779698on_val (tptp.map_ad325961431ar_val L1 L2) M_1) (tptp.hAPP_l207779698on_val L2 M_1)))) (forall ((M1 $$unsorted) (M2 $$unsorted) (M3 $$unsorted)) (= (tptp.map_ad325961431ar_val M1 (tptp.map_ad325961431ar_val M2 M3)) (tptp.map_ad325961431ar_val (tptp.map_ad325961431ar_val M1 M2) M3))) (forall ((F_1 $$unsorted)) (= (tptp.hAPP_f46308763ion_ty tptp.produc907433735ion_ty (tptp.produc1675615144ion_ty F_1)) F_1)) (forall ((F_1 $$unsorted)) (= (tptp.hAPP_f2121594859l_bool tptp.produc1958875245l_bool (tptp.produc2062775566l_bool F_1)) F_1)) (forall ((F_1 $$unsorted)) (= (tptp.produc1675615144ion_ty (tptp.hAPP_f46308763ion_ty tptp.produc907433735ion_ty F_1)) F_1)) (forall ((F_1 $$unsorted)) (= (tptp.produc2062775566l_bool (tptp.hAPP_f2121594859l_bool tptp.produc1958875245l_bool F_1)) F_1)) (forall ((Pa $$unsorted) (Q_1 $$unsorted) (X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_f2121594859l_bool tptp.produc1958875245l_bool (tptp.hAPP_f555424277l_bool (tptp.hAPP_f1734879897l_bool tptp.cOMBB_1522540928on_val (tptp.hAPP_f1863694447l_bool tptp.cOMBB_383678192on_val (tptp.hAPP_b589554111l_bool tptp.fconj Pa))) Q_1)) X_1)) (and (tptp.hBOOL Pa) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_f2121594859l_bool tptp.produc1958875245l_bool Q_1) X_1))))) (forall ((Va_1 $$unsorted) (Ta $$unsorted) (Va $$unsorted) (U $$unsorted) (S $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.hAPP_v834067052t_char tptp.val_list_char U))) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.block_list_char Va_1 Ta (tptp.seq_list_char (tptp.lAss_list_char Va_1 (tptp.hAPP_v834067052t_char tptp.val_list_char Va)) _let_1))) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val _let_1) S))) (tptp.red Pa))))) (forall ((T_a $$unsorted) (Pa $$unsorted) (Hb $$unsorted) (Va $$unsorted) (Ta $$unsorted)) (=> (tptp.hBOOL (tptp.conf_P373316194t_char Pa Hb Va Ta)) (=> (tptp.hBOOL (tptp.hAPP_ty_bool (tptp.hAPP_ty_fun_ty_bool (tptp.widen_2090681816t_char Pa) Ta) T_a)) (tptp.hBOOL (tptp.conf_P373316194t_char Pa Hb Va T_a))))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P2014166431r_bool (tptp.hAPP_f1484794973r_bool tptp.produc1732333873r_bool F_1) (tptp.hAPP_e952791821t_char (tptp.hAPP_l796364813t_char tptp.produc1147572817t_char A) B))) (tptp.hBOOL (tptp.hAPP_e544220455r_bool (tptp.hAPP_l214204733r_bool F_1 A) B)))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P828904212r_bool (tptp.hAPP_f895126887r_bool tptp.produc1596557472r_bool F_1) (tptp.hAPP_l277216047t_char (tptp.hAPP_l352172327t_char tptp.produc1152259904t_char A) B))) (tptp.hBOOL (tptp.hAPP_l902158906r_bool (tptp.hAPP_l24694616r_bool F_1 A) B)))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P659547099r_bool (tptp.hAPP_f252398939r_bool tptp.produc1324280167r_bool F_1) (tptp.hAPP_P1423780764t_char (tptp.hAPP_l309186817t_char tptp.produc1483578759t_char A) B))) (tptp.hBOOL (tptp.hAPP_P828904212r_bool (tptp.hAPP_l1342015621r_bool F_1 A) B)))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P1680401186r_bool (tptp.hAPP_f952817385r_bool tptp.produc723279022r_bool F_1) (tptp.hAPP_P1224499548t_char (tptp.hAPP_l902950593t_char tptp.produc822965838t_char A) B))) (tptp.hBOOL (tptp.hAPP_P659547099r_bool (tptp.hAPP_l2140727500r_bool F_1 A) B)))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P2118621157r_bool (tptp.hAPP_f1697332217r_bool tptp.produc21910851r_bool F_1) (tptp.hAPP_e1752110927t_char (tptp.hAPP_l1859255743t_char tptp.produc1916172923t_char A) B))) (tptp.hBOOL (tptp.hAPP_e544220455r_bool (tptp.hAPP_l1062423959r_bool F_1 A) B)))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P1907982426r_bool (tptp.hAPP_f102021095r_bool tptp.produc154616760r_bool F_1) (tptp.hAPP_P1392904962t_char (tptp.hAPP_l14371579t_char tptp.produc1909267824t_char A) B))) (tptp.hBOOL (tptp.hAPP_P2118621157r_bool (tptp.hAPP_l1987619678r_bool F_1 A) B)))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P92196306r_bool (tptp.hAPP_f1613448899r_bool tptp.produc2027921764r_bool F_1) (tptp.hAPP_P767818445t_char (tptp.hAPP_l1873467853t_char tptp.produc921874948t_char A) B))) (tptp.hBOOL (tptp.hAPP_P1907982426r_bool (tptp.hAPP_l217977712r_bool F_1 A) B)))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P71593144l_bool (tptp.hAPP_f1634841927l_bool tptp.produc1491230096l_bool F_1) (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val A) B))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_l146377954l_bool F_1 A) B)))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P1333315679l_bool (tptp.hAPP_f1525114763l_bool tptp.produc70644925l_bool F_1) (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val A) B))) (tptp.hBOOL (tptp.hAPP_P71593144l_bool (tptp.hAPP_P1183008383l_bool F_1 A) B)))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P929938951l_bool (tptp.hAPP_f1534412387l_bool tptp.produc769963999l_bool F_1) (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val A) B))) (tptp.hBOOL (tptp.hAPP_val_bool (tptp.hAPP_v1392248405l_bool F_1 A) B)))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P943837928l_bool (tptp.hAPP_f340876351l_bool tptp.produc1326056646l_bool F_1) (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val A) B))) (tptp.hBOOL (tptp.hAPP_P929938951l_bool (tptp.hAPP_b97269396l_bool F_1 A) B)))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P449474095r_bool (tptp.hAPP_f2132060507r_bool tptp.produc1704639885r_bool F_1) (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char A) B))) (tptp.hBOOL (tptp.hAPP_list_char_bool (tptp.hAPP_l1361600383r_bool F_1 A) B)))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P1235399154l_bool (tptp.hAPP_f1443410953l_bool tptp.produc392960766l_bool F_1) (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val A) B))) (tptp.hBOOL (tptp.hAPP_f1715346603l_bool (tptp.hAPP_l465799708l_bool F_1 A) B)))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_f2121594859l_bool tptp.produc1958875245l_bool F_1) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val A) B))) (tptp.hBOOL (tptp.hAPP_f1033709212l_bool (tptp.hAPP_f1175813647l_bool F_1 A) B)))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P1708370145l_bool (tptp.hAPP_f1930574389l_bool tptp.produc1815960045l_bool F_1) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val A) B))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool F_1 A) B)))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P282169671l_bool (tptp.hAPP_f635218277l_bool tptp.produc1911463199l_bool F_1) (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A) B))) (tptp.hBOOL (tptp.hAPP_P1708370145l_bool (tptp.hAPP_P1116729363l_bool F_1 A) B)))) (forall ((H_b $$unsorted) (Pa $$unsorted) (Hb $$unsorted) (Lb $$unsorted) (Ea $$unsorted)) (let ((_let_1 (tptp.lconf_496643946t_char Pa))) (=> (tptp.hBOOL (tptp.hAPP_f1001225811y_bool (tptp.hAPP_f2060496320y_bool (tptp.hAPP_f1213370163y_bool _let_1 Hb) Lb) Ea)) (=> (tptp.hBOOL (tptp.hext Hb H_b)) (tptp.hBOOL (tptp.hAPP_f1001225811y_bool (tptp.hAPP_f2060496320y_bool (tptp.hAPP_f1213370163y_bool _let_1 H_b) Lb) Ea)))))) (forall ((Va $$unsorted) (E_2 $$unsorted) (S $$unsorted) (Pa $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.seq_list_char (tptp.hAPP_v834067052t_char tptp.val_list_char Va) E_2)) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_2) S))) (tptp.red Pa)))) (forall ((E1 $$unsorted) (U1 $$unsorted) (M_1 $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val U1))) (=> (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat M_1) (tptp.dom_na996029170on_val E2)))) (= (tptp.map_ad61982421on_val (tptp.fun_up2041264236on_val E1 M_1 _let_1) E2) (tptp.fun_up2041264236on_val (tptp.map_ad61982421on_val E1 E2) M_1 _let_1))))) (forall ((E1 $$unsorted) (U1 $$unsorted) (M_1 $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.hAPP_val_option_val tptp.some_val U1))) (=> (not (tptp.hBOOL (tptp.hAPP_f986089162l_bool (tptp.hAPP_l1903254203l_bool tptp.member_list_char M_1) (tptp.dom_list_char_val E2)))) (= (tptp.map_ad325961431ar_val (tptp.fun_up1149430426on_val E1 M_1 _let_1) E2) (tptp.fun_up1149430426on_val (tptp.map_ad325961431ar_val E1 E2) M_1 _let_1))))) (forall ((E1 $$unsorted) (U1 $$unsorted) (M_1 $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.hAPP_val_option_val tptp.some_val U1))) (=> (not (tptp.hBOOL (tptp.hAPP_f2106398425l_bool (tptp.hAPP_P1180869721l_bool tptp.member1251428284t_char M_1) (tptp.dom_Pr695701035ar_val E2)))) (= (tptp.map_ad1185064968ar_val (tptp.fun_up204312361on_val E1 M_1 _let_1) E2) (tptp.fun_up204312361on_val (tptp.map_ad1185064968ar_val E1 E2) M_1 _let_1))))) (forall ((E1 $$unsorted) (U1 $$unsorted) (M_1 $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.hAPP_ty_option_ty tptp.some_ty U1))) (=> (not (tptp.hBOOL (tptp.hAPP_f986089162l_bool (tptp.hAPP_l1903254203l_bool tptp.member_list_char M_1) (tptp.dom_list_char_ty E2)))) (= (tptp.map_add_list_char_ty (tptp.fun_up424764369ion_ty E1 M_1 _let_1) E2) (tptp.fun_up424764369ion_ty (tptp.map_add_list_char_ty E1 E2) M_1 _let_1))))) (forall ((Va_1 $$unsorted) (Ta $$unsorted) (U $$unsorted) (S $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.hAPP_v834067052t_char tptp.val_list_char U))) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.block_list_char Va_1 Ta _let_1)) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val _let_1) S))) (tptp.red Pa))))) (forall ((M_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (= (tptp.hAPP_n546249108on_val M_1 A) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val B)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat A) (tptp.dom_na996029170on_val M_1))))) (forall ((M_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (= (tptp.hAPP_l207779698on_val M_1 A) (tptp.hAPP_val_option_val tptp.some_val B)) (tptp.hBOOL (tptp.hAPP_f986089162l_bool (tptp.hAPP_l1903254203l_bool tptp.member_list_char A) (tptp.dom_list_char_val M_1))))) (forall ((Ta $$unsorted) (V_a $$unsorted) (Eb $$unsorted) (Hb $$unsorted) (Lb $$unsorted) (Va_1 $$unsorted) (Va $$unsorted) (E_b $$unsorted) (H_b $$unsorted) (L_b $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.red Pa))) (let ((_let_2 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_b))) (let ((_let_3 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) (tptp.hAPP_f1727192346on_val _let_3 (tptp.fun_up1149430426on_val Lb Va_1 (tptp.hAPP_val_option_val tptp.some_val Va))))) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) (tptp.hAPP_f1727192346on_val _let_2 L_b)))) _let_1)) (=> (= (tptp.hAPP_l207779698on_val L_b Va_1) (tptp.hAPP_val_option_val tptp.some_val V_a)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.block_list_char Va_1 Ta (tptp.seq_list_char (tptp.lAss_list_char Va_1 (tptp.hAPP_v834067052t_char tptp.val_list_char Va)) Eb))) (tptp.hAPP_f1727192346on_val _let_3 Lb))) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.block_list_char Va_1 Ta (tptp.seq_list_char (tptp.lAss_list_char Va_1 (tptp.hAPP_v834067052t_char tptp.val_list_char V_a)) E_b))) (tptp.hAPP_f1727192346on_val _let_2 (tptp.fun_up1149430426on_val L_b Va_1 (tptp.hAPP_l207779698on_val Lb Va_1)))))) _let_1)))))))) (forall ((F1 $$unsorted) (A $$unsorted) (B $$unsorted)) (= (tptp.hAPP_P1228500987ion_ty (tptp.hAPP_f46308763ion_ty tptp.produc907433735ion_ty F1) (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val A) B)) (tptp.hAPP_f652398900ion_ty (tptp.hAPP_l2000496933ion_ty F1 A) B))) (forall ((F1 $$unsorted) (A $$unsorted) (B $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_f2121594859l_bool tptp.produc1958875245l_bool F1) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val A) B))) (tptp.hBOOL (tptp.hAPP_f1033709212l_bool (tptp.hAPP_f1175813647l_bool F1 A) B)))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (= (tptp.hAPP_P1228500987ion_ty (tptp.hAPP_f46308763ion_ty tptp.produc907433735ion_ty F_1) (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val A) B)) (tptp.hAPP_f652398900ion_ty (tptp.hAPP_l2000496933ion_ty F_1 A) B))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_f2121594859l_bool tptp.produc1958875245l_bool F_1) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val A) B))) (tptp.hBOOL (tptp.hAPP_f1033709212l_bool (tptp.hAPP_f1175813647l_bool F_1 A) B)))) (forall ((M_1 $$unsorted) (N $$unsorted) (K $$unsorted) (Xx $$unsorted)) (let ((_let_1 (tptp.hAPP_val_option_val tptp.some_val Xx))) (=> (= (tptp.hAPP_l207779698on_val N K) _let_1) (= (tptp.hAPP_l207779698on_val (tptp.map_ad325961431ar_val M_1 N) K) _let_1)))) (forall ((X_2 $$unsorted) (A_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f483496539l_bool (tptp.hAPP_P7095645l_bool tptp.member1601084734t_char X_2) A_2)) (tptp.hBOOL (tptp.hAPP_P1384137393r_bool A_2 X_2)))) (forall ((X_2 $$unsorted) (A_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f515912112l_bool (tptp.hAPP_P205570445l_bool tptp.member1467889965t_char X_2) A_2)) (tptp.hBOOL (tptp.hAPP_P1680401186r_bool A_2 X_2)))) (forall ((X_2 $$unsorted) (A_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.hAPP_P126004409l_bool tptp.member875476972on_val X_2) A_2)) (tptp.hBOOL (tptp.hAPP_P1333315679l_bool A_2 X_2)))) (forall ((X_2 $$unsorted) (A_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_2) A_2)) (tptp.hBOOL (tptp.hAPP_nat_bool A_2 X_2)))) (forall ((X_2 $$unsorted) (A_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f2106398425l_bool (tptp.hAPP_P1180869721l_bool tptp.member1251428284t_char X_2) A_2)) (tptp.hBOOL (tptp.hAPP_P449474095r_bool A_2 X_2)))) (forall ((X_2 $$unsorted) (A_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f986089162l_bool (tptp.hAPP_l1903254203l_bool tptp.member_list_char X_2) A_2)) (tptp.hBOOL (tptp.hAPP_list_char_bool A_2 X_2)))) (forall ((X_2 $$unsorted) (A_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val X_2) A_2)) (tptp.hBOOL (tptp.hAPP_P282169671l_bool A_2 X_2)))) (forall ((F_1 $$unsorted)) (= (tptp.hAPP_f46308763ion_ty tptp.produc907433735ion_ty (tptp.hAPP_f802560783ion_ty (tptp.hAPP_f7643013ion_ty tptp.cOMBB_864319000t_char (tptp.hAPP_f69964139ion_ty tptp.cOMBB_2041093409on_val F_1)) tptp.produc823076510on_val)) F_1)) (forall ((F_1 $$unsorted)) (= (tptp.hAPP_f2121594859l_bool tptp.produc1958875245l_bool (tptp.hAPP_f1363667773l_bool (tptp.hAPP_f1050935001l_bool tptp.cOMBB_1153617344on_val (tptp.hAPP_f2057883639l_bool tptp.cOMBB_1750801836on_val F_1)) tptp.produc899768717on_val)) F_1)) (forall ((Va_1 $$unsorted) (Eb $$unsorted) (S $$unsorted) (E_b $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.red Pa))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) S_2))) _let_1)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.lAss_list_char Va_1 Eb)) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.lAss_list_char Va_1 E_b)) S_2))) _let_1))))) (forall ((E_2 $$unsorted) (Eb $$unsorted) (S $$unsorted) (E_b $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.red Pa))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) S_2))) _let_1)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.seq_list_char Eb E_2)) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.seq_list_char E_b E_2)) S_2))) _let_1))))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_e544220455r_bool (tptp.hAPP_l214204733r_bool (tptp.produc288369490r_bool F_1) A) B)) (tptp.hBOOL (tptp.hAPP_P2014166431r_bool F_1 (tptp.hAPP_e952791821t_char (tptp.hAPP_l796364813t_char tptp.produc1147572817t_char A) B))))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_l902158906r_bool (tptp.hAPP_l24694616r_bool (tptp.produc2116052801r_bool F_1) A) B)) (tptp.hBOOL (tptp.hAPP_P828904212r_bool F_1 (tptp.hAPP_l277216047t_char (tptp.hAPP_l352172327t_char tptp.produc1152259904t_char A) B))))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P828904212r_bool (tptp.hAPP_l1342015621r_bool (tptp.produc266042248r_bool F_1) A) B)) (tptp.hBOOL (tptp.hAPP_P659547099r_bool F_1 (tptp.hAPP_P1423780764t_char (tptp.hAPP_l309186817t_char tptp.produc1483578759t_char A) B))))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P659547099r_bool (tptp.hAPP_l2140727500r_bool (tptp.produc1588781647r_bool F_1) A) B)) (tptp.hBOOL (tptp.hAPP_P1680401186r_bool F_1 (tptp.hAPP_P1224499548t_char (tptp.hAPP_l902950593t_char tptp.produc822965838t_char A) B))))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_e544220455r_bool (tptp.hAPP_l1062423959r_bool (tptp.produc550034914r_bool F_1) A) B)) (tptp.hBOOL (tptp.hAPP_P2118621157r_bool F_1 (tptp.hAPP_e1752110927t_char (tptp.hAPP_l1859255743t_char tptp.produc1916172923t_char A) B))))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P2118621157r_bool (tptp.hAPP_l1987619678r_bool (tptp.produc156891095r_bool F_1) A) B)) (tptp.hBOOL (tptp.hAPP_P1907982426r_bool F_1 (tptp.hAPP_P1392904962t_char (tptp.hAPP_l14371579t_char tptp.produc1909267824t_char A) B))))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P1907982426r_bool (tptp.hAPP_l217977712r_bool (tptp.produc1574020101r_bool F_1) A) B)) (tptp.hBOOL (tptp.hAPP_P92196306r_bool F_1 (tptp.hAPP_P767818445t_char (tptp.hAPP_l1873467853t_char tptp.produc921874948t_char A) B))))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_l146377954l_bool (tptp.produc1838470831l_bool F_1) A) B)) (tptp.hBOOL (tptp.hAPP_P71593144l_bool F_1 (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val A) B))))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P71593144l_bool (tptp.hAPP_P1183008383l_bool (tptp.produc2053127004l_bool F_1) A) B)) (tptp.hBOOL (tptp.hAPP_P1333315679l_bool F_1 (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val A) B))))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_val_bool (tptp.hAPP_v1392248405l_bool (tptp.produc886919678l_bool F_1) A) B)) (tptp.hBOOL (tptp.hAPP_P929938951l_bool F_1 (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val A) B))))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P929938951l_bool (tptp.hAPP_b97269396l_bool (tptp.produc1555310053l_bool F_1) A) B)) (tptp.hBOOL (tptp.hAPP_P943837928l_bool F_1 (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val A) B))))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_list_char_bool (tptp.hAPP_l1361600383r_bool (tptp.produc95371820r_bool F_1) A) B)) (tptp.hBOOL (tptp.hAPP_P449474095r_bool F_1 (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char A) B))))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1715346603l_bool (tptp.hAPP_l465799708l_bool (tptp.produc481748255l_bool F_1) A) B)) (tptp.hBOOL (tptp.hAPP_P1235399154l_bool F_1 (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val A) B))))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1033709212l_bool (tptp.hAPP_f1175813647l_bool (tptp.produc2062775566l_bool F_1) A) B)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool F_1 (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val A) B))))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.produc1911975310l_bool F_1) A) B)) (tptp.hBOOL (tptp.hAPP_P1708370145l_bool F_1 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val A) B))))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P1708370145l_bool (tptp.hAPP_P1116729363l_bool (tptp.produc1159035454l_bool F_1) A) B)) (tptp.hBOOL (tptp.hAPP_P282169671l_bool F_1 (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A) B))))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_e544220455r_bool (tptp.hAPP_l214204733r_bool (tptp.produc288369490r_bool F_1) A) B)) (tptp.hBOOL (tptp.hAPP_P2014166431r_bool F_1 (tptp.hAPP_e952791821t_char (tptp.hAPP_l796364813t_char tptp.produc1147572817t_char A) B))))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_l902158906r_bool (tptp.hAPP_l24694616r_bool (tptp.produc2116052801r_bool F_1) A) B)) (tptp.hBOOL (tptp.hAPP_P828904212r_bool F_1 (tptp.hAPP_l277216047t_char (tptp.hAPP_l352172327t_char tptp.produc1152259904t_char A) B))))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P828904212r_bool (tptp.hAPP_l1342015621r_bool (tptp.produc266042248r_bool F_1) A) B)) (tptp.hBOOL (tptp.hAPP_P659547099r_bool F_1 (tptp.hAPP_P1423780764t_char (tptp.hAPP_l309186817t_char tptp.produc1483578759t_char A) B))))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P659547099r_bool (tptp.hAPP_l2140727500r_bool (tptp.produc1588781647r_bool F_1) A) B)) (tptp.hBOOL (tptp.hAPP_P1680401186r_bool F_1 (tptp.hAPP_P1224499548t_char (tptp.hAPP_l902950593t_char tptp.produc822965838t_char A) B))))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_e544220455r_bool (tptp.hAPP_l1062423959r_bool (tptp.produc550034914r_bool F_1) A) B)) (tptp.hBOOL (tptp.hAPP_P2118621157r_bool F_1 (tptp.hAPP_e1752110927t_char (tptp.hAPP_l1859255743t_char tptp.produc1916172923t_char A) B))))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P2118621157r_bool (tptp.hAPP_l1987619678r_bool (tptp.produc156891095r_bool F_1) A) B)) (tptp.hBOOL (tptp.hAPP_P1907982426r_bool F_1 (tptp.hAPP_P1392904962t_char (tptp.hAPP_l14371579t_char tptp.produc1909267824t_char A) B))))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P1907982426r_bool (tptp.hAPP_l217977712r_bool (tptp.produc1574020101r_bool F_1) A) B)) (tptp.hBOOL (tptp.hAPP_P92196306r_bool F_1 (tptp.hAPP_P767818445t_char (tptp.hAPP_l1873467853t_char tptp.produc921874948t_char A) B))))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_l146377954l_bool (tptp.produc1838470831l_bool F_1) A) B)) (tptp.hBOOL (tptp.hAPP_P71593144l_bool F_1 (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val A) B))))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P71593144l_bool (tptp.hAPP_P1183008383l_bool (tptp.produc2053127004l_bool F_1) A) B)) (tptp.hBOOL (tptp.hAPP_P1333315679l_bool F_1 (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val A) B))))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_val_bool (tptp.hAPP_v1392248405l_bool (tptp.produc886919678l_bool F_1) A) B)) (tptp.hBOOL (tptp.hAPP_P929938951l_bool F_1 (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val A) B))))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P929938951l_bool (tptp.hAPP_b97269396l_bool (tptp.produc1555310053l_bool F_1) A) B)) (tptp.hBOOL (tptp.hAPP_P943837928l_bool F_1 (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val A) B))))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_list_char_bool (tptp.hAPP_l1361600383r_bool (tptp.produc95371820r_bool F_1) A) B)) (tptp.hBOOL (tptp.hAPP_P449474095r_bool F_1 (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char A) B))))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1715346603l_bool (tptp.hAPP_l465799708l_bool (tptp.produc481748255l_bool F_1) A) B)) (tptp.hBOOL (tptp.hAPP_P1235399154l_bool F_1 (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val A) B))))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1033709212l_bool (tptp.hAPP_f1175813647l_bool (tptp.produc2062775566l_bool F_1) A) B)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool F_1 (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val A) B))))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.produc1911975310l_bool F_1) A) B)) (tptp.hBOOL (tptp.hAPP_P1708370145l_bool F_1 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val A) B))))) (forall ((F_1 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P1708370145l_bool (tptp.hAPP_P1116729363l_bool (tptp.produc1159035454l_bool F_1) A) B)) (tptp.hBOOL (tptp.hAPP_P282169671l_bool F_1 (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A) B))))) (forall ((F_1 $$unsorted) (G $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_val_option_val tptp.some_val Y_2))) (= (tptp.map_ad1185064968ar_val F_1 (tptp.fun_up204312361on_val G X_2 _let_1)) (tptp.fun_up204312361on_val (tptp.map_ad1185064968ar_val F_1 G) X_2 _let_1)))) (forall ((F_1 $$unsorted) (G $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val Y_2))) (= (tptp.map_ad61982421on_val F_1 (tptp.fun_up2041264236on_val G X_2 _let_1)) (tptp.fun_up2041264236on_val (tptp.map_ad61982421on_val F_1 G) X_2 _let_1)))) (forall ((F_1 $$unsorted) (G $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_ty_option_ty tptp.some_ty Y_2))) (= (tptp.map_add_list_char_ty F_1 (tptp.fun_up424764369ion_ty G X_2 _let_1)) (tptp.fun_up424764369ion_ty (tptp.map_add_list_char_ty F_1 G) X_2 _let_1)))) (forall ((F_1 $$unsorted) (G $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_val_option_val tptp.some_val Y_2))) (= (tptp.map_ad325961431ar_val F_1 (tptp.fun_up1149430426on_val G X_2 _let_1)) (tptp.fun_up1149430426on_val (tptp.map_ad325961431ar_val F_1 G) X_2 _let_1)))) (= tptp.produc1577326610ion_ty tptp.produc907433735ion_ty) (= tptp.produc2128769400l_bool tptp.produc1958875245l_bool) (forall ((Pa $$unsorted) (Hb $$unsorted) (Ea $$unsorted) (Va_1 $$unsorted) (Ta $$unsorted) (Eb $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.wTrt_1 Pa Hb (tptp.fun_up424764369ion_ty Ea Va_1 (tptp.hAPP_ty_option_ty tptp.some_ty Ta)) Eb T_a)) (tptp.hBOOL (tptp.wTrt_1 Pa Hb Ea (tptp.block_list_char Va_1 Ta Eb) T_a)))) (forall ((C_2 $$unsorted) (P_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P2014166431r_bool (tptp.hAPP_f1484794973r_bool tptp.produc1732333873r_bool C_2) P_1)) (not (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (= P_1 (tptp.hAPP_e952791821t_char (tptp.hAPP_l796364813t_char tptp.produc1147572817t_char X_1) Y_1)) (not (tptp.hBOOL (tptp.hAPP_e544220455r_bool (tptp.hAPP_l214204733r_bool C_2 X_1) Y_1)))))))) (forall ((C_2 $$unsorted) (P_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P828904212r_bool (tptp.hAPP_f895126887r_bool tptp.produc1596557472r_bool C_2) P_1)) (not (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (= P_1 (tptp.hAPP_l277216047t_char (tptp.hAPP_l352172327t_char tptp.produc1152259904t_char X_1) Y_1)) (not (tptp.hBOOL (tptp.hAPP_l902158906r_bool (tptp.hAPP_l24694616r_bool C_2 X_1) Y_1)))))))) (forall ((C_2 $$unsorted) (P_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P659547099r_bool (tptp.hAPP_f252398939r_bool tptp.produc1324280167r_bool C_2) P_1)) (not (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (= P_1 (tptp.hAPP_P1423780764t_char (tptp.hAPP_l309186817t_char tptp.produc1483578759t_char X_1) Y_1)) (not (tptp.hBOOL (tptp.hAPP_P828904212r_bool (tptp.hAPP_l1342015621r_bool C_2 X_1) Y_1)))))))) (forall ((C_2 $$unsorted) (P_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P1680401186r_bool (tptp.hAPP_f952817385r_bool tptp.produc723279022r_bool C_2) P_1)) (not (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (= P_1 (tptp.hAPP_P1224499548t_char (tptp.hAPP_l902950593t_char tptp.produc822965838t_char X_1) Y_1)) (not (tptp.hBOOL (tptp.hAPP_P659547099r_bool (tptp.hAPP_l2140727500r_bool C_2 X_1) Y_1)))))))) (forall ((C_2 $$unsorted) (P_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P2118621157r_bool (tptp.hAPP_f1697332217r_bool tptp.produc21910851r_bool C_2) P_1)) (not (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (= P_1 (tptp.hAPP_e1752110927t_char (tptp.hAPP_l1859255743t_char tptp.produc1916172923t_char X_1) Y_1)) (not (tptp.hBOOL (tptp.hAPP_e544220455r_bool (tptp.hAPP_l1062423959r_bool C_2 X_1) Y_1)))))))) (forall ((C_2 $$unsorted) (P_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P1907982426r_bool (tptp.hAPP_f102021095r_bool tptp.produc154616760r_bool C_2) P_1)) (not (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (= P_1 (tptp.hAPP_P1392904962t_char (tptp.hAPP_l14371579t_char tptp.produc1909267824t_char X_1) Y_1)) (not (tptp.hBOOL (tptp.hAPP_P2118621157r_bool (tptp.hAPP_l1987619678r_bool C_2 X_1) Y_1)))))))) (forall ((C_2 $$unsorted) (P_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P92196306r_bool (tptp.hAPP_f1613448899r_bool tptp.produc2027921764r_bool C_2) P_1)) (not (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (= P_1 (tptp.hAPP_P767818445t_char (tptp.hAPP_l1873467853t_char tptp.produc921874948t_char X_1) Y_1)) (not (tptp.hBOOL (tptp.hAPP_P1907982426r_bool (tptp.hAPP_l217977712r_bool C_2 X_1) Y_1)))))))) (forall ((C_2 $$unsorted) (P_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P71593144l_bool (tptp.hAPP_f1634841927l_bool tptp.produc1491230096l_bool C_2) P_1)) (not (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (= P_1 (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val X_1) Y_1)) (not (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_l146377954l_bool C_2 X_1) Y_1)))))))) (forall ((C_2 $$unsorted) (P_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P1333315679l_bool (tptp.hAPP_f1525114763l_bool tptp.produc70644925l_bool C_2) P_1)) (not (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (= P_1 (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val X_1) Y_1)) (not (tptp.hBOOL (tptp.hAPP_P71593144l_bool (tptp.hAPP_P1183008383l_bool C_2 X_1) Y_1)))))))) (forall ((C_2 $$unsorted) (P_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P929938951l_bool (tptp.hAPP_f1534412387l_bool tptp.produc769963999l_bool C_2) P_1)) (not (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (= P_1 (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val X_1) Y_1)) (not (tptp.hBOOL (tptp.hAPP_val_bool (tptp.hAPP_v1392248405l_bool C_2 X_1) Y_1)))))))) (forall ((C_2 $$unsorted) (P_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P943837928l_bool (tptp.hAPP_f340876351l_bool tptp.produc1326056646l_bool C_2) P_1)) (not (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.is_bop X_1) (=> (= P_1 (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val X_1) Y_1)) (not (tptp.hBOOL (tptp.hAPP_P929938951l_bool (tptp.hAPP_b97269396l_bool C_2 X_1) Y_1))))))))) (forall ((C_2 $$unsorted) (P_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P449474095r_bool (tptp.hAPP_f2132060507r_bool tptp.produc1704639885r_bool C_2) P_1)) (not (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (= P_1 (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char X_1) Y_1)) (not (tptp.hBOOL (tptp.hAPP_list_char_bool (tptp.hAPP_l1361600383r_bool C_2 X_1) Y_1)))))))) (forall ((C_2 $$unsorted) (P_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P1235399154l_bool (tptp.hAPP_f1443410953l_bool tptp.produc392960766l_bool C_2) P_1)) (not (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (= P_1 (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val X_1) Y_1)) (not (tptp.hBOOL (tptp.hAPP_f1715346603l_bool (tptp.hAPP_l465799708l_bool C_2 X_1) Y_1)))))))) (forall ((C_2 $$unsorted) (P_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_f2121594859l_bool tptp.produc1958875245l_bool C_2) P_1)) (not (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (= P_1 (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val X_1) Y_1)) (not (tptp.hBOOL (tptp.hAPP_f1033709212l_bool (tptp.hAPP_f1175813647l_bool C_2 X_1) Y_1)))))))) (forall ((C_2 $$unsorted) (P_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P1708370145l_bool (tptp.hAPP_f1930574389l_bool tptp.produc1815960045l_bool C_2) P_1)) (not (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (= P_1 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val X_1) Y_1)) (not (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool C_2 X_1) Y_1)))))))) (forall ((C_2 $$unsorted) (P_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P282169671l_bool (tptp.hAPP_f635218277l_bool tptp.produc1911463199l_bool C_2) P_1)) (not (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (= P_1 (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val X_1) Y_1)) (not (tptp.hBOOL (tptp.hAPP_P1708370145l_bool (tptp.hAPP_P1116729363l_bool C_2 X_1) Y_1)))))))) (forall ((C_2 $$unsorted) (P_1 $$unsorted)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (=> (= P_1 (tptp.hAPP_e952791821t_char (tptp.hAPP_l796364813t_char tptp.produc1147572817t_char A_1) B_2)) (tptp.hBOOL (tptp.hAPP_e544220455r_bool (tptp.hAPP_l214204733r_bool C_2 A_1) B_2)))) (tptp.hBOOL (tptp.hAPP_P2014166431r_bool (tptp.hAPP_f1484794973r_bool tptp.produc1732333873r_bool C_2) P_1)))) (forall ((C_2 $$unsorted) (P_1 $$unsorted)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (=> (= P_1 (tptp.hAPP_l277216047t_char (tptp.hAPP_l352172327t_char tptp.produc1152259904t_char A_1) B_2)) (tptp.hBOOL (tptp.hAPP_l902158906r_bool (tptp.hAPP_l24694616r_bool C_2 A_1) B_2)))) (tptp.hBOOL (tptp.hAPP_P828904212r_bool (tptp.hAPP_f895126887r_bool tptp.produc1596557472r_bool C_2) P_1)))) (forall ((C_2 $$unsorted) (P_1 $$unsorted)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (=> (= P_1 (tptp.hAPP_P1423780764t_char (tptp.hAPP_l309186817t_char tptp.produc1483578759t_char A_1) B_2)) (tptp.hBOOL (tptp.hAPP_P828904212r_bool (tptp.hAPP_l1342015621r_bool C_2 A_1) B_2)))) (tptp.hBOOL (tptp.hAPP_P659547099r_bool (tptp.hAPP_f252398939r_bool tptp.produc1324280167r_bool C_2) P_1)))) (forall ((C_2 $$unsorted) (P_1 $$unsorted)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (=> (= P_1 (tptp.hAPP_P1224499548t_char (tptp.hAPP_l902950593t_char tptp.produc822965838t_char A_1) B_2)) (tptp.hBOOL (tptp.hAPP_P659547099r_bool (tptp.hAPP_l2140727500r_bool C_2 A_1) B_2)))) (tptp.hBOOL (tptp.hAPP_P1680401186r_bool (tptp.hAPP_f952817385r_bool tptp.produc723279022r_bool C_2) P_1)))) (forall ((C_2 $$unsorted) (P_1 $$unsorted)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (=> (= P_1 (tptp.hAPP_e1752110927t_char (tptp.hAPP_l1859255743t_char tptp.produc1916172923t_char A_1) B_2)) (tptp.hBOOL (tptp.hAPP_e544220455r_bool (tptp.hAPP_l1062423959r_bool C_2 A_1) B_2)))) (tptp.hBOOL (tptp.hAPP_P2118621157r_bool (tptp.hAPP_f1697332217r_bool tptp.produc21910851r_bool C_2) P_1)))) (forall ((C_2 $$unsorted) (P_1 $$unsorted)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (=> (= P_1 (tptp.hAPP_P1392904962t_char (tptp.hAPP_l14371579t_char tptp.produc1909267824t_char A_1) B_2)) (tptp.hBOOL (tptp.hAPP_P2118621157r_bool (tptp.hAPP_l1987619678r_bool C_2 A_1) B_2)))) (tptp.hBOOL (tptp.hAPP_P1907982426r_bool (tptp.hAPP_f102021095r_bool tptp.produc154616760r_bool C_2) P_1)))) (forall ((C_2 $$unsorted) (P_1 $$unsorted)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (=> (= P_1 (tptp.hAPP_P767818445t_char (tptp.hAPP_l1873467853t_char tptp.produc921874948t_char A_1) B_2)) (tptp.hBOOL (tptp.hAPP_P1907982426r_bool (tptp.hAPP_l217977712r_bool C_2 A_1) B_2)))) (tptp.hBOOL (tptp.hAPP_P92196306r_bool (tptp.hAPP_f1613448899r_bool tptp.produc2027921764r_bool C_2) P_1)))) (forall ((C_2 $$unsorted) (P_1 $$unsorted)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (=> (= P_1 (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val A_1) B_2)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_l146377954l_bool C_2 A_1) B_2)))) (tptp.hBOOL (tptp.hAPP_P71593144l_bool (tptp.hAPP_f1634841927l_bool tptp.produc1491230096l_bool C_2) P_1)))) (forall ((C_2 $$unsorted) (P_1 $$unsorted)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (=> (= P_1 (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val A_1) B_2)) (tptp.hBOOL (tptp.hAPP_P71593144l_bool (tptp.hAPP_P1183008383l_bool C_2 A_1) B_2)))) (tptp.hBOOL (tptp.hAPP_P1333315679l_bool (tptp.hAPP_f1525114763l_bool tptp.produc70644925l_bool C_2) P_1)))) (forall ((C_2 $$unsorted) (P_1 $$unsorted)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (=> (= P_1 (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val A_1) B_2)) (tptp.hBOOL (tptp.hAPP_val_bool (tptp.hAPP_v1392248405l_bool C_2 A_1) B_2)))) (tptp.hBOOL (tptp.hAPP_P929938951l_bool (tptp.hAPP_f1534412387l_bool tptp.produc769963999l_bool C_2) P_1)))) (forall ((C_2 $$unsorted) (P_1 $$unsorted)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (=> (tptp.is_bop A_1) (=> (= P_1 (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val A_1) B_2)) (tptp.hBOOL (tptp.hAPP_P929938951l_bool (tptp.hAPP_b97269396l_bool C_2 A_1) B_2))))) (tptp.hBOOL (tptp.hAPP_P943837928l_bool (tptp.hAPP_f340876351l_bool tptp.produc1326056646l_bool C_2) P_1)))) (forall ((C_2 $$unsorted) (P_1 $$unsorted)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (=> (= P_1 (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char A_1) B_2)) (tptp.hBOOL (tptp.hAPP_list_char_bool (tptp.hAPP_l1361600383r_bool C_2 A_1) B_2)))) (tptp.hBOOL (tptp.hAPP_P449474095r_bool (tptp.hAPP_f2132060507r_bool tptp.produc1704639885r_bool C_2) P_1)))) (forall ((C_2 $$unsorted) (P_1 $$unsorted)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (=> (= P_1 (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val A_1) B_2)) (tptp.hBOOL (tptp.hAPP_f1715346603l_bool (tptp.hAPP_l465799708l_bool C_2 A_1) B_2)))) (tptp.hBOOL (tptp.hAPP_P1235399154l_bool (tptp.hAPP_f1443410953l_bool tptp.produc392960766l_bool C_2) P_1)))) (forall ((C_2 $$unsorted) (P_1 $$unsorted)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (=> (= P_1 (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val A_1) B_2)) (tptp.hBOOL (tptp.hAPP_f1033709212l_bool (tptp.hAPP_f1175813647l_bool C_2 A_1) B_2)))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_f2121594859l_bool tptp.produc1958875245l_bool C_2) P_1)))) (forall ((C_2 $$unsorted) (P_1 $$unsorted)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (=> (= P_1 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val A_1) B_2)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool C_2 A_1) B_2)))) (tptp.hBOOL (tptp.hAPP_P1708370145l_bool (tptp.hAPP_f1930574389l_bool tptp.produc1815960045l_bool C_2) P_1)))) (forall ((C_2 $$unsorted) (P_1 $$unsorted)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (=> (= P_1 (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A_1) B_2)) (tptp.hBOOL (tptp.hAPP_P1708370145l_bool (tptp.hAPP_P1116729363l_bool C_2 A_1) B_2)))) (tptp.hBOOL (tptp.hAPP_P282169671l_bool (tptp.hAPP_f635218277l_bool tptp.produc1911463199l_bool C_2) P_1)))) (forall ((E_2 $$unsorted) (T_2_2 $$unsorted) (Pa $$unsorted) (Hb $$unsorted) (Ea $$unsorted) (E_1_1 $$unsorted) (T_1_1 $$unsorted)) (=> (tptp.hBOOL (tptp.wTrt_1 Pa Hb Ea E_1_1 T_1_1)) (=> (tptp.hBOOL (tptp.wTrt_1 Pa Hb Ea E_2 T_2_2)) (tptp.hBOOL (tptp.wTrt_1 Pa Hb Ea (tptp.seq_list_char E_1_1 E_2) T_2_2))))) (forall ((Pa $$unsorted) (Hb $$unsorted) (Lb $$unsorted) (Ea $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1001225811y_bool (tptp.hAPP_f2060496320y_bool (tptp.hAPP_f1213370163y_bool (tptp.lconf_496643946t_char Pa) Hb) Lb) Ea)) (forall ((V_3 $$unsorted) (V_2 $$unsorted)) (=> (= (tptp.hAPP_l207779698on_val Lb V_3) (tptp.hAPP_val_option_val tptp.some_val V_2)) (exists ((T_4 $$unsorted)) (and (= (tptp.hAPP_l512744617ion_ty Ea V_3) (tptp.hAPP_ty_option_ty tptp.some_ty T_4)) (tptp.hBOOL (tptp.conf_P373316194t_char Pa Hb V_2 T_4)))))))) (forall ((Va_1 $$unsorted) (Va $$unsorted) (Hb $$unsorted) (Lb $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb))) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.lAss_list_char Va_1 (tptp.hAPP_v834067052t_char tptp.val_list_char Va))) (tptp.hAPP_f1727192346on_val _let_1 Lb))) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.hAPP_v834067052t_char tptp.val_list_char tptp.unit)) (tptp.hAPP_f1727192346on_val _let_1 (tptp.fun_up1149430426on_val Lb Va_1 (tptp.hAPP_val_option_val tptp.some_val Va)))))) (tptp.red Pa))))) (forall ((Hb $$unsorted)) (tptp.hBOOL (tptp.hext Hb Hb))) (forall ((F_1 $$unsorted) (G $$unsorted)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hAPP_f652398900ion_ty (tptp.hAPP_l2000496933ion_ty F_1 X_1) Y_1) (tptp.hAPP_P1228500987ion_ty G (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val X_1) Y_1)))) (= (tptp.hAPP_f46308763ion_ty tptp.produc907433735ion_ty F_1) G))) (forall ((G $$unsorted) (F_1 $$unsorted)) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1033709212l_bool (tptp.hAPP_f1175813647l_bool F_1 X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool G (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val X_1) Y_1))))) (= (tptp.hAPP_f2121594859l_bool tptp.produc1958875245l_bool F_1) G))) (forall ((A $$unsorted) (M_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat A) (tptp.dom_na996029170on_val M_1))) (exists ((B_2 $$unsorted)) (= (tptp.hAPP_n546249108on_val M_1 A) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val B_2))))) (forall ((A $$unsorted) (M_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f986089162l_bool (tptp.hAPP_l1903254203l_bool tptp.member_list_char A) (tptp.dom_list_char_val M_1))) (exists ((B_2 $$unsorted)) (= (tptp.hAPP_l207779698on_val M_1 A) (tptp.hAPP_val_option_val tptp.some_val B_2))))) (forall ((Q_1 $$unsorted) (Pa $$unsorted) (Z_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_option_ty_bool Q_1 (tptp.hAPP_P1228500987ion_ty (tptp.hAPP_f46308763ion_ty tptp.produc907433735ion_ty Pa) Z_1))) (not (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (= Z_1 (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val X_1) Y_1)) (not (tptp.hBOOL (tptp.hAPP_option_ty_bool Q_1 (tptp.hAPP_f652398900ion_ty (tptp.hAPP_l2000496933ion_ty Pa X_1) Y_1))))))))) (forall ((Q_1 $$unsorted) (Pa $$unsorted) (Z_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool Q_1 (tptp.hAPP_P159683425l_bool (tptp.hAPP_f2121594859l_bool tptp.produc1958875245l_bool Pa) Z_1))) (not (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (= Z_1 (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val X_1) Y_1)) (not (tptp.hBOOL (tptp.hAPP_bool_bool Q_1 (tptp.hAPP_f1033709212l_bool (tptp.hAPP_f1175813647l_bool Pa X_1) Y_1))))))))) (forall ((H_b $$unsorted) (Pa $$unsorted) (Hb $$unsorted) (Ea $$unsorted) (Eb $$unsorted) (Ta $$unsorted)) (=> (tptp.hBOOL (tptp.wTrt_1 Pa Hb Ea Eb Ta)) (=> (tptp.hBOOL (tptp.hext Hb H_b)) (tptp.hBOOL (tptp.wTrt_1 Pa H_b Ea Eb Ta))))) (forall ((Fs_2 $$unsorted) (Hb $$unsorted) (A $$unsorted) (C $$unsorted) (Fs $$unsorted)) (let ((_let_1 (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val C))) (=> (= (tptp.hAPP_n546249108on_val Hb A) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val _let_1 Fs))) (tptp.hBOOL (tptp.hext Hb (tptp.fun_up2041264236on_val Hb A (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val _let_1 Fs_2)))))))) (forall ((H_4 $$unsorted) (Hb $$unsorted) (H_b $$unsorted)) (=> (tptp.hBOOL (tptp.hext Hb H_b)) (=> (tptp.hBOOL (tptp.hext H_b H_4)) (tptp.hBOOL (tptp.hext Hb H_4))))) (forall ((A $$unsorted) (C $$unsorted) (Fs $$unsorted) (Hb $$unsorted) (H_b $$unsorted)) (=> (tptp.hBOOL (tptp.hext Hb H_b)) (=> (= (tptp.hAPP_n546249108on_val Hb A) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val C) Fs))) (exists ((Fs_3 $$unsorted)) (= (tptp.hAPP_n546249108on_val H_b A) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val C) Fs_3))))))) (forall ((Hb $$unsorted) (H_b $$unsorted)) (= (tptp.hBOOL (tptp.hext Hb H_b)) (forall ((A_1 $$unsorted) (C_1 $$unsorted) (Fs_1 $$unsorted)) (=> (= (tptp.hAPP_n546249108on_val Hb A_1) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val C_1) Fs_1))) (exists ((Fs_3 $$unsorted)) (= (tptp.hAPP_n546249108on_val H_b A_1) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val C_1) Fs_3)))))))) (forall ((Va_1 $$unsorted) (Eb $$unsorted) (A_2 $$unsorted)) (= (tptp.hBOOL (tptp.d_list_char (tptp.lAss_list_char Va_1 Eb) A_2)) (tptp.hBOOL (tptp.d_list_char Eb A_2)))) (forall ((A_17 $$unsorted) (Ty_7 $$unsorted) (Exp_13 $$unsorted) (A_16 $$unsorted) (Exp_12 $$unsorted)) (not (= (tptp.block_list_char A_17 Ty_7 Exp_13) (tptp.lAss_list_char A_16 Exp_12)))) (forall ((A_15 $$unsorted) (Ty_6 $$unsorted) (Exp_11 $$unsorted) (Exp1_7 $$unsorted) (Exp2_7 $$unsorted)) (not (= (tptp.block_list_char A_15 Ty_6 Exp_11) (tptp.seq_list_char Exp1_7 Exp2_7)))) (forall ((A_14 $$unsorted) (Exp_10 $$unsorted) (A_13 $$unsorted) (Ty_5 $$unsorted) (Exp_9 $$unsorted)) (not (= (tptp.lAss_list_char A_14 Exp_10) (tptp.block_list_char A_13 Ty_5 Exp_9)))) (forall ((Val_7 $$unsorted) (Val_6 $$unsorted)) (= (= (tptp.hAPP_v834067052t_char tptp.val_list_char Val_7) (tptp.hAPP_v834067052t_char tptp.val_list_char Val_6)) (= Val_7 Val_6))) (forall ((Exp1_6 $$unsorted) (Exp2_6 $$unsorted) (Exp1_5 $$unsorted) (Exp2_5 $$unsorted)) (= (= (tptp.seq_list_char Exp1_6 Exp2_6) (tptp.seq_list_char Exp1_5 Exp2_5)) (and (= Exp1_6 Exp1_5) (= Exp2_6 Exp2_5)))) (forall ((A $$unsorted) (Exp_8 $$unsorted) (A_3 $$unsorted) (Exp_7 $$unsorted)) (= (= (tptp.lAss_list_char A Exp_8) (tptp.lAss_list_char A_3 Exp_7)) (and (= A A_3) (= Exp_8 Exp_7)))) (forall ((A $$unsorted) (Ty_4 $$unsorted) (Exp_8 $$unsorted) (A_3 $$unsorted) (Ty_3 $$unsorted) (Exp_7 $$unsorted)) (= (= (tptp.block_list_char A Ty_4 Exp_8) (tptp.block_list_char A_3 Ty_3 Exp_7)) (and (= A A_3) (= Ty_4 Ty_3) (= Exp_8 Exp_7)))) (forall ((Val_5 $$unsorted) (Exp1_4 $$unsorted) (Exp2_4 $$unsorted)) (not (= (tptp.hAPP_v834067052t_char tptp.val_list_char Val_5) (tptp.seq_list_char Exp1_4 Exp2_4)))) (forall ((Val_4 $$unsorted) (A_12 $$unsorted) (Exp_6 $$unsorted)) (not (= (tptp.hAPP_v834067052t_char tptp.val_list_char Val_4) (tptp.lAss_list_char A_12 Exp_6)))) (forall ((Exp1_3 $$unsorted) (Exp2_3 $$unsorted) (Val_3 $$unsorted)) (not (= (tptp.seq_list_char Exp1_3 Exp2_3) (tptp.hAPP_v834067052t_char tptp.val_list_char Val_3)))) (forall ((A_11 $$unsorted) (Exp_5 $$unsorted) (Val_2 $$unsorted)) (not (= (tptp.lAss_list_char A_11 Exp_5) (tptp.hAPP_v834067052t_char tptp.val_list_char Val_2)))) (forall ((Val_1 $$unsorted) (A_10 $$unsorted) (Ty_2 $$unsorted) (Exp_4 $$unsorted)) (not (= (tptp.hAPP_v834067052t_char tptp.val_list_char Val_1) (tptp.block_list_char A_10 Ty_2 Exp_4)))) (forall ((A_9 $$unsorted) (Ty_1 $$unsorted) (Exp_3 $$unsorted) (Val $$unsorted)) (not (= (tptp.block_list_char A_9 Ty_1 Exp_3) (tptp.hAPP_v834067052t_char tptp.val_list_char Val)))) (forall ((Va $$unsorted) (A_2 $$unsorted)) (tptp.hBOOL (tptp.d_list_char (tptp.hAPP_v834067052t_char tptp.val_list_char Va) A_2))) (forall ((Exp1_2 $$unsorted) (Exp2_2 $$unsorted) (A_8 $$unsorted) (Exp_2 $$unsorted)) (not (= (tptp.seq_list_char Exp1_2 Exp2_2) (tptp.lAss_list_char A_8 Exp_2)))) (forall ((A_7 $$unsorted) (Exp_1 $$unsorted) (Exp1_1 $$unsorted) (Exp2_1 $$unsorted)) (not (= (tptp.lAss_list_char A_7 Exp_1) (tptp.seq_list_char Exp1_1 Exp2_1)))) (forall ((Exp1 $$unsorted) (Exp2 $$unsorted) (A_6 $$unsorted) (Ty $$unsorted) (Exp $$unsorted)) (not (= (tptp.seq_list_char Exp1 Exp2) (tptp.block_list_char A_6 Ty Exp)))) (forall ((Fs_2 $$unsorted) (A $$unsorted) (C $$unsorted) (Fs $$unsorted) (Pa $$unsorted) (Hb $$unsorted)) (let ((_let_1 (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val C))) (let ((_let_2 (tptp.hAPP_f900686428on_val _let_1 Fs_2))) (let ((_let_3 (tptp.hconf_97414254t_char Pa))) (=> (tptp.hBOOL (tptp.hAPP_f61040418l_bool _let_3 Hb)) (=> (= (tptp.hAPP_n546249108on_val Hb A) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val _let_1 Fs))) (=> (tptp.hBOOL (tptp.hAPP_P1235399154l_bool (tptp.oconf_1869808039t_char Pa Hb) _let_2)) (tptp.hBOOL (tptp.hAPP_f61040418l_bool _let_3 (tptp.fun_up2041264236on_val Hb A (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val _let_2))))))))))) (forall ((Ta $$unsorted) (V_a $$unsorted) (Pa $$unsorted) (Eb $$unsorted) (Hb $$unsorted) (Lb $$unsorted) (Va_1 $$unsorted) (Va $$unsorted) (E_b $$unsorted) (H_b $$unsorted) (L_b $$unsorted)) (let ((_let_1 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_b))) (let ((_let_2 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa Eb (tptp.hAPP_f1727192346on_val _let_2 (tptp.fun_up1149430426on_val Lb Va_1 (tptp.hAPP_val_option_val tptp.some_val Va)))) E_b) (tptp.hAPP_f1727192346on_val _let_1 L_b))) (=> (= (tptp.hAPP_l207779698on_val L_b Va_1) (tptp.hAPP_val_option_val tptp.some_val V_a)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.block_list_char Va_1 Ta (tptp.seq_list_char (tptp.lAss_list_char Va_1 (tptp.hAPP_v834067052t_char tptp.val_list_char Va)) Eb)) (tptp.hAPP_f1727192346on_val _let_2 Lb)) (tptp.block_list_char Va_1 Ta (tptp.seq_list_char (tptp.lAss_list_char Va_1 (tptp.hAPP_v834067052t_char tptp.val_list_char V_a)) E_b))) (tptp.hAPP_f1727192346on_val _let_1 (tptp.fun_up1149430426on_val L_b Va_1 (tptp.hAPP_l207779698on_val Lb Va_1)))))))))) (forall ((Ta $$unsorted) (Va $$unsorted) (Eb $$unsorted) (Hb $$unsorted) (Lb $$unsorted) (Va_1 $$unsorted) (E_b $$unsorted) (H_b $$unsorted) (L_b $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.red Pa))) (let ((_let_2 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_b))) (let ((_let_3 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) (tptp.hAPP_f1727192346on_val _let_3 (tptp.fun_up1149430426on_val Lb Va_1 tptp.none_val)))) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) (tptp.hAPP_f1727192346on_val _let_2 L_b)))) _let_1)) (=> (= (tptp.hAPP_l207779698on_val L_b Va_1) (tptp.hAPP_val_option_val tptp.some_val Va)) (=> (not (tptp.hBOOL (tptp.assigned Va_1 Eb))) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.block_list_char Va_1 Ta Eb)) (tptp.hAPP_f1727192346on_val _let_3 Lb))) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.block_list_char Va_1 Ta (tptp.seq_list_char (tptp.lAss_list_char Va_1 (tptp.hAPP_v834067052t_char tptp.val_list_char Va)) E_b))) (tptp.hAPP_f1727192346on_val _let_2 (tptp.fun_up1149430426on_val L_b Va_1 (tptp.hAPP_l207779698on_val Lb Va_1)))))) _let_1))))))))) (forall ((Pa $$unsorted) (Hb $$unsorted) (Eb $$unsorted) (T_a $$unsorted) (Ea $$unsorted) (Va_1 $$unsorted) (Ta $$unsorted)) (=> (= (tptp.hAPP_l512744617ion_ty Ea Va_1) (tptp.hAPP_ty_option_ty tptp.some_ty Ta)) (=> (tptp.hBOOL (tptp.wTrt_1 Pa Hb Ea Eb T_a)) (=> (tptp.hBOOL (tptp.hAPP_ty_bool (tptp.hAPP_ty_fun_ty_bool (tptp.widen_2090681816t_char Pa) T_a) Ta)) (tptp.hBOOL (tptp.wTrt_1 Pa Hb Ea (tptp.lAss_list_char Va_1 Eb) tptp.void)))))) (forall ((Va_1 $$unsorted) (Eb $$unsorted) (S $$unsorted) (Va $$unsorted) (H_b $$unsorted) (L_b $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (let ((_let_2 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_b))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.hAPP_v834067052t_char tptp.val_list_char Va)) (tptp.hAPP_f1727192346on_val _let_2 L_b)))) _let_1)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.lAss_list_char Va_1 Eb)) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.hAPP_v834067052t_char tptp.val_list_char tptp.unit)) (tptp.hAPP_f1727192346on_val _let_2 (tptp.fun_up1149430426on_val L_b Va_1 (tptp.hAPP_val_option_val tptp.some_val Va)))))) _let_1)))))) (forall ((H_b $$unsorted) (Hb $$unsorted)) (=> (forall ((A_1 $$unsorted) (C_1 $$unsorted) (Fs_1 $$unsorted)) (=> (= (tptp.hAPP_n546249108on_val Hb A_1) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val C_1) Fs_1))) (exists ((Fs_3 $$unsorted)) (= (tptp.hAPP_n546249108on_val H_b A_1) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val C_1) Fs_3)))))) (tptp.hBOOL (tptp.hext Hb H_b)))) (forall ((Pa $$unsorted) (Va_1 $$unsorted) (Va $$unsorted) (Hb $$unsorted) (Lb $$unsorted)) (let ((_let_1 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.lAss_list_char Va_1 (tptp.hAPP_v834067052t_char tptp.val_list_char Va)) (tptp.hAPP_f1727192346on_val _let_1 Lb)) (tptp.hAPP_v834067052t_char tptp.val_list_char tptp.unit)) (tptp.hAPP_f1727192346on_val _let_1 (tptp.fun_up1149430426on_val Lb Va_1 (tptp.hAPP_val_option_val tptp.some_val Va))))))) (forall ((Eb $$unsorted) (H_0 $$unsorted) (L_0 $$unsorted) (E_b $$unsorted) (H_1 $$unsorted) (L_1_1 $$unsorted) (Pa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_0) L_0))) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_1) L_1_1)))) (tptp.red Pa))) (tptp.hBOOL (tptp.hAPP_f986089162l_bool (tptp.ord_le2092826700r_bool (tptp.dom_list_char_val L_0)) (tptp.dom_list_char_val L_1_1))))) (forall ((Pa $$unsorted) (Hb $$unsorted) (Ea $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1001225811y_bool (tptp.hAPP_f2060496320y_bool (tptp.hAPP_f1213370163y_bool (tptp.lconf_496643946t_char Pa) Hb) (tptp.hAPP_o538043682on_val tptp.cOMBK_1097134891t_char tptp.none_val)) Ea))) (forall ((Q_1 $$unsorted) (Pa $$unsorted) (X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_list_char_bool Pa X_2)) (=> (tptp.hBOOL (tptp.hAPP_f986089162l_bool (tptp.ord_le2092826700r_bool Pa) Q_1)) (tptp.hBOOL (tptp.hAPP_list_char_bool Q_1 X_2))))) (forall ((X_2 $$unsorted) (Pa $$unsorted) (Q_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f986089162l_bool (tptp.ord_le2092826700r_bool Pa) Q_1)) (=> (tptp.hBOOL (tptp.hAPP_list_char_bool Pa X_2)) (tptp.hBOOL (tptp.hAPP_list_char_bool Q_1 X_2))))) (forall ((R_2 $$unsorted) (S_4 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1933376467r_bool tptp.cOMBC_36589090l_bool tptp.member1601084734t_char))) (= (tptp.hBOOL (tptp.hAPP_f483496539l_bool (tptp.ord_le1987888477r_bool (tptp.hAPP_f1853572245r_bool _let_1 R_2)) (tptp.hAPP_f1853572245r_bool _let_1 S_4))) (tptp.hBOOL (tptp.hAPP_f483496539l_bool (tptp.ord_le1987888477r_bool R_2) S_4))))) (forall ((R_2 $$unsorted) (S_4 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1020753317r_bool tptp.cOMBC_1297648632l_bool tptp.member1467889965t_char))) (= (tptp.hBOOL (tptp.hAPP_f515912112l_bool (tptp.ord_le117566470r_bool (tptp.hAPP_f1666729379r_bool _let_1 R_2)) (tptp.hAPP_f1666729379r_bool _let_1 S_4))) (tptp.hBOOL (tptp.hAPP_f515912112l_bool (tptp.ord_le117566470r_bool R_2) S_4))))) (forall ((R_2 $$unsorted) (S_4 $$unsorted)) (let ((_let_1 (tptp.hAPP_f677078775l_bool tptp.cOMBC_475083938l_bool tptp.member875476972on_val))) (= (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.ord_le1438917387l_bool (tptp.hAPP_f1856968213l_bool _let_1 R_2)) (tptp.hAPP_f1856968213l_bool _let_1 S_4))) (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.ord_le1438917387l_bool R_2) S_4))))) (forall ((R_2 $$unsorted) (S_4 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1722879237t_bool tptp.cOMBC_226598744l_bool tptp.member_nat))) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.ord_le1568362934t_bool (tptp.hAPP_f800510211t_bool _let_1 R_2)) (tptp.hAPP_f800510211t_bool _let_1 S_4))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.ord_le1568362934t_bool R_2) S_4))))) (forall ((R_2 $$unsorted) (S_4 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1876889431r_bool tptp.cOMBC_148995234l_bool tptp.member1251428284t_char))) (= (tptp.hBOOL (tptp.hAPP_f2106398425l_bool (tptp.ord_le640323803r_bool (tptp.hAPP_f112056853r_bool _let_1 R_2)) (tptp.hAPP_f112056853r_bool _let_1 S_4))) (tptp.hBOOL (tptp.hAPP_f2106398425l_bool (tptp.ord_le640323803r_bool R_2) S_4))))) (forall ((R_2 $$unsorted) (S_4 $$unsorted)) (let ((_let_1 (tptp.hAPP_f522372661r_bool tptp.cOMBC_892477410l_bool tptp.member_list_char))) (= (tptp.hBOOL (tptp.hAPP_f986089162l_bool (tptp.ord_le2092826700r_bool (tptp.hAPP_f1371002581r_bool _let_1 R_2)) (tptp.hAPP_f1371002581r_bool _let_1 S_4))) (tptp.hBOOL (tptp.hAPP_f986089162l_bool (tptp.ord_le2092826700r_bool R_2) S_4))))) (forall ((R_2 $$unsorted) (S_4 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1720452391l_bool tptp.cOMBC_1021753250l_bool tptp.member773094996on_val))) (= (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.ord_le1776148979l_bool (tptp.hAPP_f2036784149l_bool _let_1 R_2)) (tptp.hAPP_f2036784149l_bool _let_1 S_4))) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.ord_le1776148979l_bool R_2) S_4))))) (forall ((A_5 $$unsorted)) (not (= tptp.none_nat (tptp.hAPP_nat_option_nat tptp.some_nat A_5)))) (forall ((A_5 $$unsorted)) (not (= tptp.none_ty (tptp.hAPP_ty_option_ty tptp.some_ty A_5)))) (forall ((A_3 $$unsorted)) (not (= tptp.none_P179726773on_val (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val A_3)))) (forall ((A_5 $$unsorted)) (not (= tptp.none_val (tptp.hAPP_val_option_val tptp.some_val A_5)))) (forall ((A_3 $$unsorted)) (not (= tptp.none_f478147469r_bool (tptp.hAPP_f363827556r_bool tptp.some_f80346385r_bool A_3)))) (forall ((A_4 $$unsorted)) (not (= (tptp.hAPP_nat_option_nat tptp.some_nat A_4) tptp.none_nat))) (forall ((A_4 $$unsorted)) (not (= (tptp.hAPP_ty_option_ty tptp.some_ty A_4) tptp.none_ty))) (forall ((A_3 $$unsorted)) (not (= (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val A_3) tptp.none_P179726773on_val))) (forall ((A_4 $$unsorted)) (not (= (tptp.hAPP_val_option_val tptp.some_val A_4) tptp.none_val))) (forall ((A_3 $$unsorted)) (not (= (tptp.hAPP_f363827556r_bool tptp.some_f80346385r_bool A_3) tptp.none_f478147469r_bool))) (forall ((X_2 $$unsorted)) (= (forall ((Y_1 $$unsorted)) (not (= X_2 (tptp.hAPP_nat_option_nat tptp.some_nat Y_1)))) (= X_2 tptp.none_nat))) (forall ((X_2 $$unsorted)) (= (forall ((Y_1 $$unsorted)) (not (= X_2 (tptp.hAPP_ty_option_ty tptp.some_ty Y_1)))) (= X_2 tptp.none_ty))) (forall ((X_2 $$unsorted)) (= (forall ((Y_1 $$unsorted)) (not (= X_2 (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val Y_1)))) (= X_2 tptp.none_P179726773on_val))) (forall ((X_2 $$unsorted)) (= (forall ((Y_1 $$unsorted)) (not (= X_2 (tptp.hAPP_val_option_val tptp.some_val Y_1)))) (= X_2 tptp.none_val))) (forall ((X_2 $$unsorted)) (= (forall ((Y_1 $$unsorted)) (not (= X_2 (tptp.hAPP_f363827556r_bool tptp.some_f80346385r_bool Y_1)))) (= X_2 tptp.none_f478147469r_bool))) (forall ((X_2 $$unsorted)) (= (not (= X_2 tptp.none_nat)) (exists ((Y_1 $$unsorted)) (= X_2 (tptp.hAPP_nat_option_nat tptp.some_nat Y_1))))) (forall ((X_2 $$unsorted)) (= (not (= X_2 tptp.none_ty)) (exists ((Y_1 $$unsorted)) (= X_2 (tptp.hAPP_ty_option_ty tptp.some_ty Y_1))))) (forall ((X_2 $$unsorted)) (= (not (= X_2 tptp.none_P179726773on_val)) (exists ((Y_1 $$unsorted)) (= X_2 (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val Y_1))))) (forall ((X_2 $$unsorted)) (= (not (= X_2 tptp.none_val)) (exists ((Y_1 $$unsorted)) (= X_2 (tptp.hAPP_val_option_val tptp.some_val Y_1))))) (forall ((X_2 $$unsorted)) (= (not (= X_2 tptp.none_f478147469r_bool)) (exists ((Y_1 $$unsorted)) (= X_2 (tptp.hAPP_f363827556r_bool tptp.some_f80346385r_bool Y_1))))) (forall ((Va_1 $$unsorted) (Pa $$unsorted) (Eb $$unsorted) (S $$unsorted) (E_b $$unsorted) (S_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa Eb S) E_b) S_2)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.lAss_list_char Va_1 Eb) S) (tptp.lAss_list_char Va_1 E_b)) S_2)))) (forall ((E_2 $$unsorted) (Pa $$unsorted) (Eb $$unsorted) (S $$unsorted) (E_b $$unsorted) (S_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa Eb S) E_b) S_2)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.seq_list_char Eb E_2) S) (tptp.seq_list_char E_b E_2)) S_2)))) (forall ((M_1 $$unsorted)) (= (tptp.dom_na996029170on_val M_1) (tptp.collect_nat (tptp.hAPP_f800510211t_bool (tptp.hAPP_f894608603t_bool tptp.cOMBB_bool_bool_nat tptp.fNot) (tptp.hAPP_o1566711458t_bool (tptp.hAPP_f489569861t_bool tptp.cOMBC_229530231l_bool (tptp.hAPP_f1677329295l_bool (tptp.hAPP_f1611569977l_bool tptp.cOMBB_731867268ol_nat tptp.fequal1937332960on_val) M_1)) tptp.none_P179726773on_val))))) (forall ((M_1 $$unsorted)) (= (tptp.dom_list_char_val M_1) (tptp.collect_list_char (tptp.hAPP_f1371002581r_bool (tptp.hAPP_f1861125939r_bool tptp.cOMBB_1091123364t_char tptp.fNot) (tptp.hAPP_o453398608r_bool (tptp.hAPP_f399018025r_bool tptp.cOMBC_442485623l_bool (tptp.hAPP_f396807521l_bool (tptp.hAPP_f926979333l_bool tptp.cOMBB_1112666310t_char tptp.fequal_option_val) M_1)) tptp.none_val))))) (forall ((A $$unsorted) (M_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat A) (tptp.dom_na996029170on_val M_1))) (not (= (tptp.hAPP_n546249108on_val M_1 A) tptp.none_P179726773on_val)))) (forall ((A $$unsorted) (M_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f986089162l_bool (tptp.hAPP_l1903254203l_bool tptp.member_list_char A) (tptp.dom_list_char_val M_1))) (not (= (tptp.hAPP_l207779698on_val M_1 A) tptp.none_val)))) (forall ((Ta $$unsorted) (Pa $$unsorted) (Eb $$unsorted) (Hb $$unsorted) (Lb $$unsorted) (Va_1 $$unsorted) (E_b $$unsorted) (H_b $$unsorted) (L_b $$unsorted)) (let ((_let_1 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_b))) (let ((_let_2 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa Eb (tptp.hAPP_f1727192346on_val _let_2 (tptp.fun_up1149430426on_val Lb Va_1 tptp.none_val))) E_b) (tptp.hAPP_f1727192346on_val _let_1 L_b))) (=> (= (tptp.hAPP_l207779698on_val L_b Va_1) tptp.none_val) (=> (not (tptp.hBOOL (tptp.assigned Va_1 Eb))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.block_list_char Va_1 Ta Eb) (tptp.hAPP_f1727192346on_val _let_2 Lb)) (tptp.block_list_char Va_1 Ta E_b)) (tptp.hAPP_f1727192346on_val _let_1 (tptp.fun_up1149430426on_val L_b Va_1 (tptp.hAPP_l207779698on_val Lb Va_1))))))))))) (forall ((M_1 $$unsorted) (N $$unsorted) (K $$unsorted)) (= (= (tptp.hAPP_l207779698on_val (tptp.map_ad325961431ar_val M_1 N) K) tptp.none_val) (and (= (tptp.hAPP_l207779698on_val N K) tptp.none_val) (= (tptp.hAPP_l207779698on_val M_1 K) tptp.none_val)))) (forall ((X_2 $$unsorted) (X_1 $$unsorted)) (= (tptp.hAPP_P2094403585on_val (tptp.fun_up204312361on_val (tptp.hAPP_o1269033393on_val tptp.cOMBK_1867744698t_char tptp.none_val) X_2 tptp.none_val) X_1) tptp.none_val)) (forall ((X_2 $$unsorted) (X_1 $$unsorted)) (= (tptp.hAPP_n546249108on_val (tptp.fun_up2041264236on_val (tptp.hAPP_o1576581476on_val tptp.cOMBK_1944287343al_nat tptp.none_P179726773on_val) X_2 tptp.none_P179726773on_val) X_1) tptp.none_P179726773on_val)) (forall ((X_2 $$unsorted) (X_1 $$unsorted)) (= (tptp.hAPP_l512744617ion_ty (tptp.fun_up424764369ion_ty (tptp.hAPP_o1240645474ion_ty tptp.cOMBK_1294242658t_char tptp.none_ty) X_2 tptp.none_ty) X_1) tptp.none_ty)) (forall ((X_2 $$unsorted) (X_1 $$unsorted)) (= (tptp.hAPP_l207779698on_val (tptp.fun_up1149430426on_val (tptp.hAPP_o538043682on_val tptp.cOMBK_1097134891t_char tptp.none_val) X_2 tptp.none_val) X_1) tptp.none_val)) (forall ((M_1 $$unsorted)) (= (tptp.map_ad325961431ar_val M_1 (tptp.hAPP_o538043682on_val tptp.cOMBK_1097134891t_char tptp.none_val)) M_1)) (forall ((M_1 $$unsorted)) (= (tptp.map_ad325961431ar_val (tptp.hAPP_o538043682on_val tptp.cOMBK_1097134891t_char tptp.none_val) M_1) M_1)) (forall ((Pa $$unsorted) (Va $$unsorted) (E_2 $$unsorted) (S $$unsorted)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.seq_list_char (tptp.hAPP_v834067052t_char tptp.val_list_char Va) E_2) S) E_2) S))) (forall ((T_2 $$unsorted) (K $$unsorted) (X_2 $$unsorted)) (not (forall ((X_1 $$unsorted)) (= (tptp.hAPP_P2094403585on_val (tptp.fun_up204312361on_val T_2 K (tptp.hAPP_val_option_val tptp.some_val X_2)) X_1) tptp.none_val)))) (forall ((T_2 $$unsorted) (K $$unsorted) (X_2 $$unsorted)) (not (forall ((X_1 $$unsorted)) (= (tptp.hAPP_n546249108on_val (tptp.fun_up2041264236on_val T_2 K (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val X_2)) X_1) tptp.none_P179726773on_val)))) (forall ((T_2 $$unsorted) (K $$unsorted) (X_2 $$unsorted)) (not (forall ((X_1 $$unsorted)) (= (tptp.hAPP_l512744617ion_ty (tptp.fun_up424764369ion_ty T_2 K (tptp.hAPP_ty_option_ty tptp.some_ty X_2)) X_1) tptp.none_ty)))) (forall ((T_2 $$unsorted) (K $$unsorted) (X_2 $$unsorted)) (not (forall ((X_1 $$unsorted)) (= (tptp.hAPP_l207779698on_val (tptp.fun_up1149430426on_val T_2 K (tptp.hAPP_val_option_val tptp.some_val X_2)) X_1) tptp.none_val)))) (forall ((Pa $$unsorted) (Va_1 $$unsorted) (Ta $$unsorted) (U $$unsorted) (S $$unsorted)) (let ((_let_1 (tptp.hAPP_v834067052t_char tptp.val_list_char U))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.block_list_char Va_1 Ta _let_1) S) _let_1) S)))) (forall ((M_1 $$unsorted) (N $$unsorted) (K $$unsorted) (X_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_val_option_val tptp.some_val X_2))) (let ((_let_2 (tptp.hAPP_l207779698on_val N K))) (=> (= (tptp.hAPP_l207779698on_val (tptp.map_ad325961431ar_val M_1 N) K) _let_1) (or (= _let_2 _let_1) (and (= _let_2 tptp.none_val) (= (tptp.hAPP_l207779698on_val M_1 K) _let_1))))))) (forall ((M_1 $$unsorted) (N $$unsorted) (K $$unsorted) (X_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_val_option_val tptp.some_val X_2))) (let ((_let_2 (tptp.hAPP_l207779698on_val N K))) (= (= (tptp.hAPP_l207779698on_val (tptp.map_ad325961431ar_val M_1 N) K) _let_1) (or (= _let_2 _let_1) (and (= _let_2 tptp.none_val) (= (tptp.hAPP_l207779698on_val M_1 K) _let_1))))))) (forall ((E_2 $$unsorted) (Eb $$unsorted) (S $$unsorted) (E_b $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) S_2))) _let_1)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.seq_list_char Eb E_2)) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.seq_list_char E_b E_2)) S_2))) _let_1))))) (forall ((Va_1 $$unsorted) (Eb $$unsorted) (S $$unsorted) (E_b $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) S_2))) _let_1)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.lAss_list_char Va_1 Eb)) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.lAss_list_char Va_1 E_b)) S_2))) _let_1))))) (forall ((Ta $$unsorted) (Va $$unsorted) (Pa $$unsorted) (Eb $$unsorted) (Hb $$unsorted) (Lb $$unsorted) (Va_1 $$unsorted) (E_b $$unsorted) (H_b $$unsorted) (L_b $$unsorted)) (let ((_let_1 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_b))) (let ((_let_2 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa Eb (tptp.hAPP_f1727192346on_val _let_2 (tptp.fun_up1149430426on_val Lb Va_1 tptp.none_val))) E_b) (tptp.hAPP_f1727192346on_val _let_1 L_b))) (=> (= (tptp.hAPP_l207779698on_val L_b Va_1) (tptp.hAPP_val_option_val tptp.some_val Va)) (=> (not (tptp.hBOOL (tptp.assigned Va_1 Eb))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.block_list_char Va_1 Ta Eb) (tptp.hAPP_f1727192346on_val _let_2 Lb)) (tptp.block_list_char Va_1 Ta (tptp.seq_list_char (tptp.lAss_list_char Va_1 (tptp.hAPP_v834067052t_char tptp.val_list_char Va)) E_b))) (tptp.hAPP_f1727192346on_val _let_1 (tptp.fun_up1149430426on_val L_b Va_1 (tptp.hAPP_l207779698on_val Lb Va_1))))))))))) (forall ((E_2 $$unsorted) (E_2_1 $$unsorted) (S_2_1 $$unsorted) (E_1_1 $$unsorted) (S_0 $$unsorted) (V_1_2 $$unsorted) (S_1 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (let ((_let_2 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_2_1) S_2_1))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_1_1) S_0)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.hAPP_v834067052t_char tptp.val_list_char V_1_2)) S_1))) _let_1)) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_2) S_1)) _let_2)) _let_1)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.seq_list_char E_1_1 E_2)) S_0)) _let_2)) _let_1))))))) (forall ((Pa $$unsorted) (X_1 $$unsorted) (Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa X_1 Xa) Xb) Xc)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val X_1) Xa)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Xb) Xc))) (tptp.red Pa))))) (forall ((A $$unsorted) (Obj $$unsorted) (Pa $$unsorted) (Hb $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f61040418l_bool (tptp.hconf_97414254t_char Pa) Hb)) (=> (= (tptp.hAPP_n546249108on_val Hb A) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val Obj)) (tptp.hBOOL (tptp.hAPP_P1235399154l_bool (tptp.oconf_1869808039t_char Pa Hb) Obj))))) (forall ((Pa $$unsorted) (Va_1 $$unsorted) (Ta $$unsorted) (Va $$unsorted) (U $$unsorted) (S $$unsorted)) (let ((_let_1 (tptp.hAPP_v834067052t_char tptp.val_list_char U))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.block_list_char Va_1 Ta (tptp.seq_list_char (tptp.lAss_list_char Va_1 (tptp.hAPP_v834067052t_char tptp.val_list_char Va)) _let_1)) S) _let_1) S)))) (forall ((Ta $$unsorted) (Eb $$unsorted) (Hb $$unsorted) (Lb $$unsorted) (Va_1 $$unsorted) (E_b $$unsorted) (H_b $$unsorted) (L_b $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.red Pa))) (let ((_let_2 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_b))) (let ((_let_3 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) (tptp.hAPP_f1727192346on_val _let_3 (tptp.fun_up1149430426on_val Lb Va_1 tptp.none_val)))) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) (tptp.hAPP_f1727192346on_val _let_2 L_b)))) _let_1)) (=> (= (tptp.hAPP_l207779698on_val L_b Va_1) tptp.none_val) (=> (not (tptp.hBOOL (tptp.assigned Va_1 Eb))) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.block_list_char Va_1 Ta Eb)) (tptp.hAPP_f1727192346on_val _let_3 Lb))) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.block_list_char Va_1 Ta E_b)) (tptp.hAPP_f1727192346on_val _let_2 (tptp.fun_up1149430426on_val L_b Va_1 (tptp.hAPP_l207779698on_val Lb Va_1)))))) _let_1))))))))) (forall ((L_0 $$unsorted) (Eb $$unsorted) (Hb $$unsorted) (Lb $$unsorted) (E_b $$unsorted) (H_b $$unsorted) (L_b $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (let ((_let_2 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_b))) (let ((_let_3 (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b))) (let ((_let_4 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb))) (let ((_let_5 (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val _let_5 (tptp.hAPP_f1727192346on_val _let_4 Lb))) (tptp.hAPP_P604205461on_val _let_3 (tptp.hAPP_f1727192346on_val _let_2 L_b)))) _let_1)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val _let_5 (tptp.hAPP_f1727192346on_val _let_4 (tptp.map_ad325961431ar_val L_0 Lb)))) (tptp.hAPP_P604205461on_val _let_3 (tptp.hAPP_f1727192346on_val _let_2 (tptp.map_ad325961431ar_val L_0 L_b))))) _let_1))))))))) (forall ((Pa $$unsorted) (Hb $$unsorted) (Ea $$unsorted) (Va $$unsorted) (Eb $$unsorted) (Ta $$unsorted)) (=> (tptp.hBOOL (tptp.wTrt_1 Pa Hb Ea (tptp.lAss_list_char Va Eb) Ta)) (not (=> (= Ta tptp.void) (forall ((T_4 $$unsorted)) (=> (= (tptp.hAPP_l512744617ion_ty Ea Va) (tptp.hAPP_ty_option_ty tptp.some_ty T_4)) (forall ((T_5 $$unsorted)) (=> (tptp.hBOOL (tptp.wTrt_1 Pa Hb Ea Eb T_5)) (not (tptp.hBOOL (tptp.hAPP_ty_bool (tptp.hAPP_ty_fun_ty_bool (tptp.widen_2090681816t_char Pa) T_5) T_4))))))))))) (forall ((Ta $$unsorted) (Eb $$unsorted) (Hb $$unsorted) (Lb $$unsorted) (Va_1 $$unsorted) (Va $$unsorted) (E_b $$unsorted) (H_b $$unsorted) (L_b $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (let ((_let_2 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_b))) (let ((_let_3 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) (tptp.hAPP_f1727192346on_val _let_3 (tptp.fun_up1149430426on_val Lb Va_1 (tptp.hAPP_val_option_val tptp.some_val Va))))) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) (tptp.hAPP_f1727192346on_val _let_2 L_b)))) _let_1)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.block_list_char Va_1 Ta (tptp.seq_list_char (tptp.lAss_list_char Va_1 (tptp.hAPP_v834067052t_char tptp.val_list_char Va)) Eb))) (tptp.hAPP_f1727192346on_val _let_3 Lb))) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.block_list_char Va_1 Ta (tptp.seq_list_char (tptp.lAss_list_char Va_1 (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.hAPP_option_val_val tptp.the_val (tptp.hAPP_l207779698on_val L_b Va_1)))) E_b))) (tptp.hAPP_f1727192346on_val _let_2 (tptp.fun_up1149430426on_val L_b Va_1 (tptp.hAPP_l207779698on_val Lb Va_1)))))) _let_1))))))) (forall ((Ta $$unsorted) (Eb $$unsorted) (Hb $$unsorted) (Lb $$unsorted) (Va_1 $$unsorted) (Va $$unsorted) (E_b $$unsorted) (H_b $$unsorted) (L_b $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (let ((_let_2 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_b))) (let ((_let_3 (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b))) (let ((_let_4 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) (tptp.hAPP_f1727192346on_val _let_4 (tptp.fun_up1149430426on_val Lb Va_1 (tptp.hAPP_val_option_val tptp.some_val Va))))) (tptp.hAPP_P604205461on_val _let_3 (tptp.hAPP_f1727192346on_val _let_2 L_b)))) _let_1)) (=> (tptp.hBOOL (tptp.final_list_char E_b)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.block_list_char Va_1 Ta (tptp.seq_list_char (tptp.lAss_list_char Va_1 (tptp.hAPP_v834067052t_char tptp.val_list_char Va)) Eb))) (tptp.hAPP_f1727192346on_val _let_4 Lb))) (tptp.hAPP_P604205461on_val _let_3 (tptp.hAPP_f1727192346on_val _let_2 (tptp.fun_up1149430426on_val L_b Va_1 (tptp.hAPP_l207779698on_val Lb Va_1)))))) _let_1))))))))) (forall ((Va_1 $$unsorted) (Eb $$unsorted)) (= (tptp.hBOOL (tptp.assigned Va_1 Eb)) (exists ((V_2 $$unsorted) (E_1 $$unsorted)) (= Eb (tptp.seq_list_char (tptp.lAss_list_char Va_1 (tptp.hAPP_v834067052t_char tptp.val_list_char V_2)) E_1))))) (forall ((A $$unsorted) (R_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.hAPP_P126004409l_bool tptp.member875476972on_val (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val A) A)) (tptp.transi374442731on_val R_1)))) (forall ((A $$unsorted) (R_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f2106398425l_bool (tptp.hAPP_P1180869721l_bool tptp.member1251428284t_char (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char A) A)) (tptp.transi1395422419t_char R_1)))) (forall ((A $$unsorted) (R_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A) A)) (tptp.transi2024712006on_val R_1)))) (forall ((A $$unsorted) (R_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f2028441009l_bool (tptp.hAPP_P530382601l_bool tptp.member649088532al_val (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val A) A)) (tptp.transi935034983cl_val R_1)))) (forall ((Ta $$unsorted) (H_0 $$unsorted) (L_0 $$unsorted) (Va_1 $$unsorted) (E_0 $$unsorted) (S_0 $$unsorted) (E_2 $$unsorted) (H_2 $$unsorted) (L_2 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (let ((_let_2 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_2))) (let ((_let_3 (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_2))) (let ((_let_4 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_0))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_0) S_0)) (tptp.hAPP_P604205461on_val _let_3 (tptp.hAPP_f1727192346on_val _let_2 L_2)))) _let_1)) (=> (tptp.hBOOL (tptp.final_list_char E_2)) (=> (= S_0 (tptp.hAPP_f1727192346on_val _let_4 (tptp.fun_up1149430426on_val L_0 Va_1 tptp.none_val))) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.block_list_char Va_1 Ta E_0)) (tptp.hAPP_f1727192346on_val _let_4 L_0))) (tptp.hAPP_P604205461on_val _let_3 (tptp.hAPP_f1727192346on_val _let_2 (tptp.fun_up1149430426on_val L_2 Va_1 (tptp.hAPP_l207779698on_val L_0 Va_1)))))) _let_1)))))))))) (forall ((Fs $$unsorted) (Hb $$unsorted) (Va $$unsorted) (Pa $$unsorted) (C $$unsorted) (F $$unsorted) (Ta $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val C))) (let ((_let_2 (tptp.oconf_1869808039t_char Pa Hb))) (=> (tptp.hBOOL (tptp.hAPP_list_char_bool (tptp.has_fi1183600461t_char Pa C F Ta) D)) (=> (tptp.hBOOL (tptp.conf_P373316194t_char Pa Hb Va Ta)) (=> (tptp.hBOOL (tptp.hAPP_P1235399154l_bool _let_2 (tptp.hAPP_f900686428on_val _let_1 Fs))) (tptp.hBOOL (tptp.hAPP_P1235399154l_bool _let_2 (tptp.hAPP_f900686428on_val _let_1 (tptp.fun_up204312361on_val Fs (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char F) D) (tptp.hAPP_val_option_val tptp.some_val Va))))))))))) (forall ((P_1 $$unsorted) (R_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_P126004409l_bool tptp.member875476972on_val P_1))) (=> (tptp.hBOOL (tptp.hAPP_f458849545l_bool _let_1 R_1)) (tptp.hBOOL (tptp.hAPP_f458849545l_bool _let_1 (tptp.transi374442731on_val R_1)))))) (forall ((P_1 $$unsorted) (R_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_P1180869721l_bool tptp.member1251428284t_char P_1))) (=> (tptp.hBOOL (tptp.hAPP_f2106398425l_bool _let_1 R_1)) (tptp.hBOOL (tptp.hAPP_f2106398425l_bool _let_1 (tptp.transi1395422419t_char R_1)))))) (forall ((P_1 $$unsorted) (R_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val P_1))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool _let_1 R_1)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool _let_1 (tptp.transi2024712006on_val R_1)))))) (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f986089162l_bool (tptp.ord_le2092826700r_bool A_2) B_1)) (=> (tptp.hBOOL (tptp.hAPP_f986089162l_bool (tptp.ord_le2092826700r_bool B_1) A_2)) (= A_2 B_1)))) (forall ((C_2 $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_P7095645l_bool tptp.member1601084734t_char C_2))) (=> (tptp.hBOOL (tptp.hAPP_f483496539l_bool (tptp.ord_le1987888477r_bool A_2) B_1)) (=> (tptp.hBOOL (tptp.hAPP_f483496539l_bool _let_1 A_2)) (tptp.hBOOL (tptp.hAPP_f483496539l_bool _let_1 B_1)))))) (forall ((C_2 $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_P205570445l_bool tptp.member1467889965t_char C_2))) (=> (tptp.hBOOL (tptp.hAPP_f515912112l_bool (tptp.ord_le117566470r_bool A_2) B_1)) (=> (tptp.hBOOL (tptp.hAPP_f515912112l_bool _let_1 A_2)) (tptp.hBOOL (tptp.hAPP_f515912112l_bool _let_1 B_1)))))) (forall ((C_2 $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_P126004409l_bool tptp.member875476972on_val C_2))) (=> (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.ord_le1438917387l_bool A_2) B_1)) (=> (tptp.hBOOL (tptp.hAPP_f458849545l_bool _let_1 A_2)) (tptp.hBOOL (tptp.hAPP_f458849545l_bool _let_1 B_1)))))) (forall ((C_2 $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_n215258509l_bool tptp.member_nat C_2))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.ord_le1568362934t_bool A_2) B_1)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 A_2)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 B_1)))))) (forall ((C_2 $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_P1180869721l_bool tptp.member1251428284t_char C_2))) (=> (tptp.hBOOL (tptp.hAPP_f2106398425l_bool (tptp.ord_le640323803r_bool A_2) B_1)) (=> (tptp.hBOOL (tptp.hAPP_f2106398425l_bool _let_1 A_2)) (tptp.hBOOL (tptp.hAPP_f2106398425l_bool _let_1 B_1)))))) (forall ((C_2 $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_l1903254203l_bool tptp.member_list_char C_2))) (=> (tptp.hBOOL (tptp.hAPP_f986089162l_bool (tptp.ord_le2092826700r_bool A_2) B_1)) (=> (tptp.hBOOL (tptp.hAPP_f986089162l_bool _let_1 A_2)) (tptp.hBOOL (tptp.hAPP_f986089162l_bool _let_1 B_1)))))) (forall ((C_2 $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val C_2))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.ord_le1776148979l_bool A_2) B_1)) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool _let_1 A_2)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool _let_1 B_1)))))) (forall ((R_1 $$unsorted) (S $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.ord_le1438917387l_bool R_1) S)) (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.ord_le1438917387l_bool (tptp.transi374442731on_val R_1)) (tptp.transi374442731on_val S))))) (forall ((R_1 $$unsorted) (S $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2106398425l_bool (tptp.ord_le640323803r_bool R_1) S)) (tptp.hBOOL (tptp.hAPP_f2106398425l_bool (tptp.ord_le640323803r_bool (tptp.transi1395422419t_char R_1)) (tptp.transi1395422419t_char S))))) (forall ((R_1 $$unsorted) (S $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.ord_le1776148979l_bool R_1) S)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.ord_le1776148979l_bool (tptp.transi2024712006on_val R_1)) (tptp.transi2024712006on_val S))))) (forall ((R_2 $$unsorted) (S_4 $$unsorted)) (let ((_let_1 (tptp.transi374442731on_val R_2))) (=> (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.ord_le1438917387l_bool R_2) S_4)) (=> (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.ord_le1438917387l_bool S_4) _let_1)) (= (tptp.transi374442731on_val S_4) _let_1))))) (forall ((R_2 $$unsorted) (S_4 $$unsorted)) (let ((_let_1 (tptp.transi1395422419t_char R_2))) (=> (tptp.hBOOL (tptp.hAPP_f2106398425l_bool (tptp.ord_le640323803r_bool R_2) S_4)) (=> (tptp.hBOOL (tptp.hAPP_f2106398425l_bool (tptp.ord_le640323803r_bool S_4) _let_1)) (= (tptp.transi1395422419t_char S_4) _let_1))))) (forall ((R_2 $$unsorted) (S_4 $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val R_2))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.ord_le1776148979l_bool R_2) S_4)) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.ord_le1776148979l_bool S_4) _let_1)) (= (tptp.transi2024712006on_val S_4) _let_1))))) (forall ((R_1 $$unsorted) (S $$unsorted)) (let ((_let_1 (tptp.transi374442731on_val S))) (=> (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.ord_le1438917387l_bool R_1) _let_1)) (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.ord_le1438917387l_bool (tptp.transi374442731on_val R_1)) _let_1))))) (forall ((R_1 $$unsorted) (S $$unsorted)) (let ((_let_1 (tptp.transi1395422419t_char S))) (=> (tptp.hBOOL (tptp.hAPP_f2106398425l_bool (tptp.ord_le640323803r_bool R_1) _let_1)) (tptp.hBOOL (tptp.hAPP_f2106398425l_bool (tptp.ord_le640323803r_bool (tptp.transi1395422419t_char R_1)) _let_1))))) (forall ((R_1 $$unsorted) (S $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val S))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.ord_le1776148979l_bool R_1) _let_1)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.ord_le1776148979l_bool (tptp.transi2024712006on_val R_1)) _let_1))))) (forall ((X_3 $$unsorted)) (= (tptp.hAPP_option_val_val tptp.the_val (tptp.hAPP_val_option_val tptp.some_val X_3)) X_3)) (forall ((X_3 $$unsorted)) (= (tptp.hAPP_option_nat_nat tptp.the_nat (tptp.hAPP_nat_option_nat tptp.some_nat X_3)) X_3)) (forall ((X_2 $$unsorted)) (= (tptp.hAPP_o1977518472on_val tptp.the_Pr431167171on_val (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val X_2)) X_2)) (forall ((X_3 $$unsorted)) (= (tptp.hAPP_option_ty_ty tptp.the_ty (tptp.hAPP_ty_option_ty tptp.some_ty X_3)) X_3)) (forall ((X_2 $$unsorted)) (= (tptp.hAPP_o285151112r_bool tptp.the_fu297177755r_bool (tptp.hAPP_f363827556r_bool tptp.some_f80346385r_bool X_2)) X_2)) (forall ((A_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f986089162l_bool (tptp.ord_le2092826700r_bool A_2) A_2))) (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (= (= A_2 B_1) (and (tptp.hBOOL (tptp.hAPP_f986089162l_bool (tptp.ord_le2092826700r_bool A_2) B_1)) (tptp.hBOOL (tptp.hAPP_f986089162l_bool (tptp.ord_le2092826700r_bool B_1) A_2))))) (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (=> (= A_2 B_1) (tptp.hBOOL (tptp.hAPP_f986089162l_bool (tptp.ord_le2092826700r_bool A_2) B_1)))) (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (=> (= A_2 B_1) (tptp.hBOOL (tptp.hAPP_f986089162l_bool (tptp.ord_le2092826700r_bool B_1) A_2)))) (forall ((X_2 $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_P7095645l_bool tptp.member1601084734t_char X_2))) (=> (tptp.hBOOL (tptp.hAPP_f483496539l_bool (tptp.ord_le1987888477r_bool A_2) B_1)) (=> (tptp.hBOOL (tptp.hAPP_f483496539l_bool _let_1 A_2)) (tptp.hBOOL (tptp.hAPP_f483496539l_bool _let_1 B_1)))))) (forall ((X_2 $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_P205570445l_bool tptp.member1467889965t_char X_2))) (=> (tptp.hBOOL (tptp.hAPP_f515912112l_bool (tptp.ord_le117566470r_bool A_2) B_1)) (=> (tptp.hBOOL (tptp.hAPP_f515912112l_bool _let_1 A_2)) (tptp.hBOOL (tptp.hAPP_f515912112l_bool _let_1 B_1)))))) (forall ((X_2 $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_P126004409l_bool tptp.member875476972on_val X_2))) (=> (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.ord_le1438917387l_bool A_2) B_1)) (=> (tptp.hBOOL (tptp.hAPP_f458849545l_bool _let_1 A_2)) (tptp.hBOOL (tptp.hAPP_f458849545l_bool _let_1 B_1)))))) (forall ((X_2 $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_n215258509l_bool tptp.member_nat X_2))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.ord_le1568362934t_bool A_2) B_1)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 A_2)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 B_1)))))) (forall ((X_2 $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_P1180869721l_bool tptp.member1251428284t_char X_2))) (=> (tptp.hBOOL (tptp.hAPP_f2106398425l_bool (tptp.ord_le640323803r_bool A_2) B_1)) (=> (tptp.hBOOL (tptp.hAPP_f2106398425l_bool _let_1 A_2)) (tptp.hBOOL (tptp.hAPP_f2106398425l_bool _let_1 B_1)))))) (forall ((X_2 $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_l1903254203l_bool tptp.member_list_char X_2))) (=> (tptp.hBOOL (tptp.hAPP_f986089162l_bool (tptp.ord_le2092826700r_bool A_2) B_1)) (=> (tptp.hBOOL (tptp.hAPP_f986089162l_bool _let_1 A_2)) (tptp.hBOOL (tptp.hAPP_f986089162l_bool _let_1 B_1)))))) (forall ((X_2 $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val X_2))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.ord_le1776148979l_bool A_2) B_1)) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool _let_1 A_2)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool _let_1 B_1)))))) (forall ((B_1 $$unsorted) (X_2 $$unsorted) (A_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_P7095645l_bool tptp.member1601084734t_char X_2))) (=> (tptp.hBOOL (tptp.hAPP_f483496539l_bool _let_1 A_2)) (=> (tptp.hBOOL (tptp.hAPP_f483496539l_bool (tptp.ord_le1987888477r_bool A_2) B_1)) (tptp.hBOOL (tptp.hAPP_f483496539l_bool _let_1 B_1)))))) (forall ((B_1 $$unsorted) (X_2 $$unsorted) (A_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_P205570445l_bool tptp.member1467889965t_char X_2))) (=> (tptp.hBOOL (tptp.hAPP_f515912112l_bool _let_1 A_2)) (=> (tptp.hBOOL (tptp.hAPP_f515912112l_bool (tptp.ord_le117566470r_bool A_2) B_1)) (tptp.hBOOL (tptp.hAPP_f515912112l_bool _let_1 B_1)))))) (forall ((B_1 $$unsorted) (X_2 $$unsorted) (A_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_P126004409l_bool tptp.member875476972on_val X_2))) (=> (tptp.hBOOL (tptp.hAPP_f458849545l_bool _let_1 A_2)) (=> (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.ord_le1438917387l_bool A_2) B_1)) (tptp.hBOOL (tptp.hAPP_f458849545l_bool _let_1 B_1)))))) (forall ((B_1 $$unsorted) (X_2 $$unsorted) (A_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_n215258509l_bool tptp.member_nat X_2))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 A_2)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.ord_le1568362934t_bool A_2) B_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 B_1)))))) (forall ((B_1 $$unsorted) (X_2 $$unsorted) (A_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_P1180869721l_bool tptp.member1251428284t_char X_2))) (=> (tptp.hBOOL (tptp.hAPP_f2106398425l_bool _let_1 A_2)) (=> (tptp.hBOOL (tptp.hAPP_f2106398425l_bool (tptp.ord_le640323803r_bool A_2) B_1)) (tptp.hBOOL (tptp.hAPP_f2106398425l_bool _let_1 B_1)))))) (forall ((B_1 $$unsorted) (X_2 $$unsorted) (A_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_l1903254203l_bool tptp.member_list_char X_2))) (=> (tptp.hBOOL (tptp.hAPP_f986089162l_bool _let_1 A_2)) (=> (tptp.hBOOL (tptp.hAPP_f986089162l_bool (tptp.ord_le2092826700r_bool A_2) B_1)) (tptp.hBOOL (tptp.hAPP_f986089162l_bool _let_1 B_1)))))) (forall ((B_1 $$unsorted) (X_2 $$unsorted) (A_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val X_2))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool _let_1 A_2)) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.ord_le1776148979l_bool A_2) B_1)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool _let_1 B_1)))))) (forall ((X_2 $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_P7095645l_bool tptp.member1601084734t_char X_2))) (=> (tptp.hBOOL (tptp.hAPP_f483496539l_bool (tptp.ord_le1987888477r_bool A_2) B_1)) (=> (tptp.hBOOL (tptp.hAPP_f483496539l_bool _let_1 A_2)) (tptp.hBOOL (tptp.hAPP_f483496539l_bool _let_1 B_1)))))) (forall ((X_2 $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_P205570445l_bool tptp.member1467889965t_char X_2))) (=> (tptp.hBOOL (tptp.hAPP_f515912112l_bool (tptp.ord_le117566470r_bool A_2) B_1)) (=> (tptp.hBOOL (tptp.hAPP_f515912112l_bool _let_1 A_2)) (tptp.hBOOL (tptp.hAPP_f515912112l_bool _let_1 B_1)))))) (forall ((X_2 $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_P126004409l_bool tptp.member875476972on_val X_2))) (=> (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.ord_le1438917387l_bool A_2) B_1)) (=> (tptp.hBOOL (tptp.hAPP_f458849545l_bool _let_1 A_2)) (tptp.hBOOL (tptp.hAPP_f458849545l_bool _let_1 B_1)))))) (forall ((X_2 $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_n215258509l_bool tptp.member_nat X_2))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.ord_le1568362934t_bool A_2) B_1)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 A_2)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 B_1)))))) (forall ((X_2 $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_P1180869721l_bool tptp.member1251428284t_char X_2))) (=> (tptp.hBOOL (tptp.hAPP_f2106398425l_bool (tptp.ord_le640323803r_bool A_2) B_1)) (=> (tptp.hBOOL (tptp.hAPP_f2106398425l_bool _let_1 A_2)) (tptp.hBOOL (tptp.hAPP_f2106398425l_bool _let_1 B_1)))))) (forall ((X_2 $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_l1903254203l_bool tptp.member_list_char X_2))) (=> (tptp.hBOOL (tptp.hAPP_f986089162l_bool (tptp.ord_le2092826700r_bool A_2) B_1)) (=> (tptp.hBOOL (tptp.hAPP_f986089162l_bool _let_1 A_2)) (tptp.hBOOL (tptp.hAPP_f986089162l_bool _let_1 B_1)))))) (forall ((X_2 $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val X_2))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.ord_le1776148979l_bool A_2) B_1)) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool _let_1 A_2)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool _let_1 B_1)))))) (forall ((C $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.ord_le2092826700r_bool A_2))) (=> (tptp.hBOOL (tptp.hAPP_f986089162l_bool _let_1 B_1)) (=> (tptp.hBOOL (tptp.hAPP_f986089162l_bool (tptp.ord_le2092826700r_bool B_1) C)) (tptp.hBOOL (tptp.hAPP_f986089162l_bool _let_1 C)))))) (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (=> (= A_2 B_1) (not (=> (tptp.hBOOL (tptp.hAPP_f986089162l_bool (tptp.ord_le2092826700r_bool A_2) B_1)) (not (tptp.hBOOL (tptp.hAPP_f986089162l_bool (tptp.ord_le2092826700r_bool B_1) A_2))))))) (forall ((X_2 $$unsorted) (Hb $$unsorted) (A $$unsorted)) (=> (= (tptp.hAPP_n546249108on_val Hb A) tptp.none_P179726773on_val) (tptp.hBOOL (tptp.hext Hb (tptp.fun_up2041264236on_val Hb A (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val X_2)))))) (forall ((R_1 $$unsorted)) (let ((_let_1 (tptp.transi374442731on_val R_1))) (= (tptp.transi374442731on_val _let_1) _let_1))) (forall ((R_1 $$unsorted)) (let ((_let_1 (tptp.transi1395422419t_char R_1))) (= (tptp.transi1395422419t_char _let_1) _let_1))) (forall ((R_1 $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val R_1))) (= (tptp.transi2024712006on_val _let_1) _let_1))) (forall ((Obj $$unsorted) (A $$unsorted) (Pa $$unsorted) (Hb $$unsorted)) (let ((_let_1 (tptp.hconf_97414254t_char Pa))) (=> (tptp.hBOOL (tptp.hAPP_f61040418l_bool _let_1 Hb)) (=> (= (tptp.hAPP_n546249108on_val Hb A) tptp.none_P179726773on_val) (=> (tptp.hBOOL (tptp.hAPP_P1235399154l_bool (tptp.oconf_1869808039t_char Pa Hb) Obj)) (tptp.hBOOL (tptp.hAPP_f61040418l_bool _let_1 (tptp.fun_up2041264236on_val Hb A (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val Obj))))))))) (forall ((C_2 $$unsorted) (A $$unsorted) (B $$unsorted) (R_1 $$unsorted)) (let ((_let_1 (tptp.transi374442731on_val R_1))) (let ((_let_2 (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val A))) (=> (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.hAPP_P126004409l_bool tptp.member875476972on_val (tptp.hAPP_P658340954on_val _let_2 B)) R_1)) (=> (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.hAPP_P126004409l_bool tptp.member875476972on_val (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val B) C_2)) _let_1)) (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.hAPP_P126004409l_bool tptp.member875476972on_val (tptp.hAPP_P658340954on_val _let_2 C_2)) _let_1))))))) (forall ((C_2 $$unsorted) (A $$unsorted) (B $$unsorted) (R_1 $$unsorted)) (let ((_let_1 (tptp.transi1395422419t_char R_1))) (let ((_let_2 (tptp.hAPP_l208357873t_char tptp.produc5062597t_char A))) (=> (tptp.hBOOL (tptp.hAPP_f2106398425l_bool (tptp.hAPP_P1180869721l_bool tptp.member1251428284t_char (tptp.hAPP_l2100324114t_char _let_2 B)) R_1)) (=> (tptp.hBOOL (tptp.hAPP_f2106398425l_bool (tptp.hAPP_P1180869721l_bool tptp.member1251428284t_char (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char B) C_2)) _let_1)) (tptp.hBOOL (tptp.hAPP_f2106398425l_bool (tptp.hAPP_P1180869721l_bool tptp.member1251428284t_char (tptp.hAPP_l2100324114t_char _let_2 C_2)) _let_1))))))) (forall ((C_2 $$unsorted) (A $$unsorted) (B $$unsorted) (R_1 $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val R_1))) (let ((_let_2 (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val _let_2 B)) R_1)) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val B) C_2)) _let_1)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val _let_2 C_2)) _let_1))))))) (forall ((C_2 $$unsorted) (A $$unsorted) (B $$unsorted) (R_1 $$unsorted)) (let ((_let_1 (tptp.transi935034983cl_val R_1))) (let ((_let_2 (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val A))) (=> (tptp.hBOOL (tptp.hAPP_f2028441009l_bool (tptp.hAPP_P530382601l_bool tptp.member649088532al_val (tptp.hAPP_v852496844al_val _let_2 B)) R_1)) (=> (tptp.hBOOL (tptp.hAPP_f2028441009l_bool (tptp.hAPP_P530382601l_bool tptp.member649088532al_val (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val B) C_2)) _let_1)) (tptp.hBOOL (tptp.hAPP_f2028441009l_bool (tptp.hAPP_P530382601l_bool tptp.member649088532al_val (tptp.hAPP_v852496844al_val _let_2 C_2)) _let_1))))))) (forall ((C_2 $$unsorted) (A $$unsorted) (B $$unsorted) (R_1 $$unsorted)) (let ((_let_1 (tptp.transi374442731on_val R_1))) (let ((_let_2 (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val A))) (=> (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.hAPP_P126004409l_bool tptp.member875476972on_val (tptp.hAPP_P658340954on_val _let_2 B)) _let_1)) (=> (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.hAPP_P126004409l_bool tptp.member875476972on_val (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val B) C_2)) R_1)) (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.hAPP_P126004409l_bool tptp.member875476972on_val (tptp.hAPP_P658340954on_val _let_2 C_2)) _let_1))))))) (forall ((C_2 $$unsorted) (A $$unsorted) (B $$unsorted) (R_1 $$unsorted)) (let ((_let_1 (tptp.transi1395422419t_char R_1))) (let ((_let_2 (tptp.hAPP_l208357873t_char tptp.produc5062597t_char A))) (=> (tptp.hBOOL (tptp.hAPP_f2106398425l_bool (tptp.hAPP_P1180869721l_bool tptp.member1251428284t_char (tptp.hAPP_l2100324114t_char _let_2 B)) _let_1)) (=> (tptp.hBOOL (tptp.hAPP_f2106398425l_bool (tptp.hAPP_P1180869721l_bool tptp.member1251428284t_char (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char B) C_2)) R_1)) (tptp.hBOOL (tptp.hAPP_f2106398425l_bool (tptp.hAPP_P1180869721l_bool tptp.member1251428284t_char (tptp.hAPP_l2100324114t_char _let_2 C_2)) _let_1))))))) (forall ((C_2 $$unsorted) (A $$unsorted) (B $$unsorted) (R_1 $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val R_1))) (let ((_let_2 (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val _let_2 B)) _let_1)) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val B) C_2)) R_1)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val _let_2 C_2)) _let_1))))))) (forall ((C_2 $$unsorted) (A $$unsorted) (B $$unsorted) (R_1 $$unsorted)) (let ((_let_1 (tptp.transi935034983cl_val R_1))) (let ((_let_2 (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val A))) (=> (tptp.hBOOL (tptp.hAPP_f2028441009l_bool (tptp.hAPP_P530382601l_bool tptp.member649088532al_val (tptp.hAPP_v852496844al_val _let_2 B)) _let_1)) (=> (tptp.hBOOL (tptp.hAPP_f2028441009l_bool (tptp.hAPP_P530382601l_bool tptp.member649088532al_val (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val B) C_2)) R_1)) (tptp.hBOOL (tptp.hAPP_f2028441009l_bool (tptp.hAPP_P530382601l_bool tptp.member649088532al_val (tptp.hAPP_v852496844al_val _let_2 C_2)) _let_1))))))) (forall ((C_2 $$unsorted) (A $$unsorted) (B $$unsorted) (R_1 $$unsorted)) (let ((_let_1 (tptp.transi374442731on_val R_1))) (let ((_let_2 (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val A))) (=> (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.hAPP_P126004409l_bool tptp.member875476972on_val (tptp.hAPP_P658340954on_val _let_2 B)) _let_1)) (=> (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.hAPP_P126004409l_bool tptp.member875476972on_val (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val B) C_2)) _let_1)) (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.hAPP_P126004409l_bool tptp.member875476972on_val (tptp.hAPP_P658340954on_val _let_2 C_2)) _let_1))))))) (forall ((C_2 $$unsorted) (A $$unsorted) (B $$unsorted) (R_1 $$unsorted)) (let ((_let_1 (tptp.transi1395422419t_char R_1))) (let ((_let_2 (tptp.hAPP_l208357873t_char tptp.produc5062597t_char A))) (=> (tptp.hBOOL (tptp.hAPP_f2106398425l_bool (tptp.hAPP_P1180869721l_bool tptp.member1251428284t_char (tptp.hAPP_l2100324114t_char _let_2 B)) _let_1)) (=> (tptp.hBOOL (tptp.hAPP_f2106398425l_bool (tptp.hAPP_P1180869721l_bool tptp.member1251428284t_char (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char B) C_2)) _let_1)) (tptp.hBOOL (tptp.hAPP_f2106398425l_bool (tptp.hAPP_P1180869721l_bool tptp.member1251428284t_char (tptp.hAPP_l2100324114t_char _let_2 C_2)) _let_1))))))) (forall ((C_2 $$unsorted) (A $$unsorted) (B $$unsorted) (R_1 $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val R_1))) (let ((_let_2 (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val _let_2 B)) _let_1)) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val B) C_2)) _let_1)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val _let_2 C_2)) _let_1))))))) (forall ((C_2 $$unsorted) (A $$unsorted) (B $$unsorted) (R_1 $$unsorted)) (let ((_let_1 (tptp.transi935034983cl_val R_1))) (let ((_let_2 (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val A))) (=> (tptp.hBOOL (tptp.hAPP_f2028441009l_bool (tptp.hAPP_P530382601l_bool tptp.member649088532al_val (tptp.hAPP_v852496844al_val _let_2 B)) _let_1)) (=> (tptp.hBOOL (tptp.hAPP_f2028441009l_bool (tptp.hAPP_P530382601l_bool tptp.member649088532al_val (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val B) C_2)) _let_1)) (tptp.hBOOL (tptp.hAPP_f2028441009l_bool (tptp.hAPP_P530382601l_bool tptp.member649088532al_val (tptp.hAPP_v852496844al_val _let_2 C_2)) _let_1))))))) (forall ((B_1 $$unsorted) (A_2 $$unsorted)) (=> (forall ((X_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_P7095645l_bool tptp.member1601084734t_char X_1))) (=> (tptp.hBOOL (tptp.hAPP_f483496539l_bool _let_1 A_2)) (tptp.hBOOL (tptp.hAPP_f483496539l_bool _let_1 B_1))))) (tptp.hBOOL (tptp.hAPP_f483496539l_bool (tptp.ord_le1987888477r_bool A_2) B_1)))) (forall ((B_1 $$unsorted) (A_2 $$unsorted)) (=> (forall ((X_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_P205570445l_bool tptp.member1467889965t_char X_1))) (=> (tptp.hBOOL (tptp.hAPP_f515912112l_bool _let_1 A_2)) (tptp.hBOOL (tptp.hAPP_f515912112l_bool _let_1 B_1))))) (tptp.hBOOL (tptp.hAPP_f515912112l_bool (tptp.ord_le117566470r_bool A_2) B_1)))) (forall ((B_1 $$unsorted) (A_2 $$unsorted)) (=> (forall ((X_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_P126004409l_bool tptp.member875476972on_val X_1))) (=> (tptp.hBOOL (tptp.hAPP_f458849545l_bool _let_1 A_2)) (tptp.hBOOL (tptp.hAPP_f458849545l_bool _let_1 B_1))))) (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.ord_le1438917387l_bool A_2) B_1)))) (forall ((B_1 $$unsorted) (A_2 $$unsorted)) (=> (forall ((X_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_n215258509l_bool tptp.member_nat X_1))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 A_2)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 B_1))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.ord_le1568362934t_bool A_2) B_1)))) (forall ((B_1 $$unsorted) (A_2 $$unsorted)) (=> (forall ((X_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_P1180869721l_bool tptp.member1251428284t_char X_1))) (=> (tptp.hBOOL (tptp.hAPP_f2106398425l_bool _let_1 A_2)) (tptp.hBOOL (tptp.hAPP_f2106398425l_bool _let_1 B_1))))) (tptp.hBOOL (tptp.hAPP_f2106398425l_bool (tptp.ord_le640323803r_bool A_2) B_1)))) (forall ((B_1 $$unsorted) (A_2 $$unsorted)) (=> (forall ((X_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_l1903254203l_bool tptp.member_list_char X_1))) (=> (tptp.hBOOL (tptp.hAPP_f986089162l_bool _let_1 A_2)) (tptp.hBOOL (tptp.hAPP_f986089162l_bool _let_1 B_1))))) (tptp.hBOOL (tptp.hAPP_f986089162l_bool (tptp.ord_le2092826700r_bool A_2) B_1)))) (forall ((B_1 $$unsorted) (A_2 $$unsorted)) (=> (forall ((X_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val X_1))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool _let_1 A_2)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool _let_1 B_1))))) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.ord_le1776148979l_bool A_2) B_1)))) (forall ((Xa_1 $$unsorted) (Xb_1 $$unsorted) (Za $$unsorted) (Zb $$unsorted) (R_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val Za) Zb))) (let ((_let_2 (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val Xa_1) Xb_1))) (=> (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.hAPP_P126004409l_bool tptp.member875476972on_val (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val _let_2) _let_1)) (tptp.transi374442731on_val R_1))) (=> (not (= _let_2 _let_1)) (not (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val A_1) B_2))) (=> (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.hAPP_P126004409l_bool tptp.member875476972on_val (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val Xa_1) Xb_1)) _let_1)) R_1)) (not (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.hAPP_P126004409l_bool tptp.member875476972on_val (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val _let_1) (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val Za) Zb))) (tptp.transi374442731on_val R_1))))))))))))) (forall ((Xa_1 $$unsorted) (Xb_1 $$unsorted) (Za $$unsorted) (Zb $$unsorted) (R_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Za) Zb))) (let ((_let_2 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Xa_1) Xb_1))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val _let_2) _let_1)) (tptp.transi2024712006on_val R_1))) (=> (not (= _let_2 _let_1)) (not (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val A_1) B_2))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Xa_1) Xb_1)) _let_1)) R_1)) (not (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val _let_1) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Za) Zb))) (tptp.transi2024712006on_val R_1))))))))))))) (forall ((Xa_1 $$unsorted) (Xb_1 $$unsorted) (Za $$unsorted) (Zb $$unsorted) (R_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_e952791821t_char (tptp.hAPP_l796364813t_char tptp.produc1147572817t_char Za) Zb))) (let ((_let_2 (tptp.hAPP_e952791821t_char (tptp.hAPP_l796364813t_char tptp.produc1147572817t_char Xa_1) Xb_1))) (=> (tptp.hBOOL (tptp.hAPP_f595031537l_bool (tptp.hAPP_P1862681481l_bool tptp.member1999287380t_char (tptp.hAPP_P1342907945t_char (tptp.hAPP_P91410073t_char tptp.produc1897818327t_char _let_2) _let_1)) (tptp.transi198989188t_char R_1))) (=> (not (= _let_2 _let_1)) (not (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_e952791821t_char (tptp.hAPP_l796364813t_char tptp.produc1147572817t_char A_1) B_2))) (=> (tptp.hBOOL (tptp.hAPP_f595031537l_bool (tptp.hAPP_P1862681481l_bool tptp.member1999287380t_char (tptp.hAPP_P1342907945t_char (tptp.hAPP_P91410073t_char tptp.produc1897818327t_char (tptp.hAPP_e952791821t_char (tptp.hAPP_l796364813t_char tptp.produc1147572817t_char Xa_1) Xb_1)) _let_1)) R_1)) (not (tptp.hBOOL (tptp.hAPP_f595031537l_bool (tptp.hAPP_P1862681481l_bool tptp.member1999287380t_char (tptp.hAPP_P1342907945t_char (tptp.hAPP_P91410073t_char tptp.produc1897818327t_char _let_1) (tptp.hAPP_e952791821t_char (tptp.hAPP_l796364813t_char tptp.produc1147572817t_char Za) Zb))) (tptp.transi198989188t_char R_1))))))))))))) (forall ((Xa_1 $$unsorted) (Xb_1 $$unsorted) (Za $$unsorted) (Zb $$unsorted) (R_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_l277216047t_char (tptp.hAPP_l352172327t_char tptp.produc1152259904t_char Za) Zb))) (let ((_let_2 (tptp.hAPP_l277216047t_char (tptp.hAPP_l352172327t_char tptp.produc1152259904t_char Xa_1) Xb_1))) (=> (tptp.hBOOL (tptp.hAPP_f126445617l_bool (tptp.hAPP_P1313790473l_bool tptp.member1551446420t_char (tptp.hAPP_P1247668062t_char (tptp.hAPP_P1756548163t_char tptp.produc635935767t_char _let_2) _let_1)) (tptp.transi772168185t_char R_1))) (=> (not (= _let_2 _let_1)) (not (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_l277216047t_char (tptp.hAPP_l352172327t_char tptp.produc1152259904t_char A_1) B_2))) (=> (tptp.hBOOL (tptp.hAPP_f126445617l_bool (tptp.hAPP_P1313790473l_bool tptp.member1551446420t_char (tptp.hAPP_P1247668062t_char (tptp.hAPP_P1756548163t_char tptp.produc635935767t_char (tptp.hAPP_l277216047t_char (tptp.hAPP_l352172327t_char tptp.produc1152259904t_char Xa_1) Xb_1)) _let_1)) R_1)) (not (tptp.hBOOL (tptp.hAPP_f126445617l_bool (tptp.hAPP_P1313790473l_bool tptp.member1551446420t_char (tptp.hAPP_P1247668062t_char (tptp.hAPP_P1756548163t_char tptp.produc635935767t_char _let_1) (tptp.hAPP_l277216047t_char (tptp.hAPP_l352172327t_char tptp.produc1152259904t_char Za) Zb))) (tptp.transi772168185t_char R_1))))))))))))) (forall ((Xa_1 $$unsorted) (Xb_1 $$unsorted) (Za $$unsorted) (Zb $$unsorted) (R_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_P1423780764t_char (tptp.hAPP_l309186817t_char tptp.produc1483578759t_char Za) Zb))) (let ((_let_2 (tptp.hAPP_P1423780764t_char (tptp.hAPP_l309186817t_char tptp.produc1483578759t_char Xa_1) Xb_1))) (=> (tptp.hBOOL (tptp.hAPP_f272179441l_bool (tptp.hAPP_P396425609l_bool tptp.member1607118676t_char (tptp.hAPP_P579374437t_char (tptp.hAPP_P777914897t_char tptp.produc1431439831t_char _let_2) _let_1)) (tptp.transi2005320128t_char R_1))) (=> (not (= _let_2 _let_1)) (not (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_P1423780764t_char (tptp.hAPP_l309186817t_char tptp.produc1483578759t_char A_1) B_2))) (=> (tptp.hBOOL (tptp.hAPP_f272179441l_bool (tptp.hAPP_P396425609l_bool tptp.member1607118676t_char (tptp.hAPP_P579374437t_char (tptp.hAPP_P777914897t_char tptp.produc1431439831t_char (tptp.hAPP_P1423780764t_char (tptp.hAPP_l309186817t_char tptp.produc1483578759t_char Xa_1) Xb_1)) _let_1)) R_1)) (not (tptp.hBOOL (tptp.hAPP_f272179441l_bool (tptp.hAPP_P396425609l_bool tptp.member1607118676t_char (tptp.hAPP_P579374437t_char (tptp.hAPP_P777914897t_char tptp.produc1431439831t_char _let_1) (tptp.hAPP_P1423780764t_char (tptp.hAPP_l309186817t_char tptp.produc1483578759t_char Za) Zb))) (tptp.transi2005320128t_char R_1))))))))))))) (forall ((Xa_1 $$unsorted) (Xb_1 $$unsorted) (Za $$unsorted) (Zb $$unsorted) (R_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_P1224499548t_char (tptp.hAPP_l902950593t_char tptp.produc822965838t_char Za) Zb))) (let ((_let_2 (tptp.hAPP_P1224499548t_char (tptp.hAPP_l902950593t_char tptp.produc822965838t_char Xa_1) Xb_1))) (=> (tptp.hBOOL (tptp.hAPP_f538118321l_bool (tptp.hAPP_P1390376713l_bool tptp.member162552852t_char (tptp.hAPP_P991802092t_char (tptp.hAPP_P1958775007t_char tptp.produc1641293463t_char _let_2) _let_1)) (tptp.transi1123801095t_char R_1))) (=> (not (= _let_2 _let_1)) (not (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_P1224499548t_char (tptp.hAPP_l902950593t_char tptp.produc822965838t_char A_1) B_2))) (=> (tptp.hBOOL (tptp.hAPP_f538118321l_bool (tptp.hAPP_P1390376713l_bool tptp.member162552852t_char (tptp.hAPP_P991802092t_char (tptp.hAPP_P1958775007t_char tptp.produc1641293463t_char (tptp.hAPP_P1224499548t_char (tptp.hAPP_l902950593t_char tptp.produc822965838t_char Xa_1) Xb_1)) _let_1)) R_1)) (not (tptp.hBOOL (tptp.hAPP_f538118321l_bool (tptp.hAPP_P1390376713l_bool tptp.member162552852t_char (tptp.hAPP_P991802092t_char (tptp.hAPP_P1958775007t_char tptp.produc1641293463t_char _let_1) (tptp.hAPP_P1224499548t_char (tptp.hAPP_l902950593t_char tptp.produc822965838t_char Za) Zb))) (tptp.transi1123801095t_char R_1))))))))))))) (forall ((Xa_1 $$unsorted) (Xb_1 $$unsorted) (Za $$unsorted) (Zb $$unsorted) (R_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_e1752110927t_char (tptp.hAPP_l1859255743t_char tptp.produc1916172923t_char Za) Zb))) (let ((_let_2 (tptp.hAPP_e1752110927t_char (tptp.hAPP_l1859255743t_char tptp.produc1916172923t_char Xa_1) Xb_1))) (=> (tptp.hBOOL (tptp.hAPP_f1145574243l_bool (tptp.hAPP_P2139822957l_bool tptp.member1161907014t_char (tptp.hAPP_P1220989409t_char (tptp.hAPP_P1668407995t_char tptp.produc1299387215t_char _let_2) _let_1)) (tptp.transi1789604888t_char R_1))) (=> (not (= _let_2 _let_1)) (not (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_e1752110927t_char (tptp.hAPP_l1859255743t_char tptp.produc1916172923t_char A_1) B_2))) (=> (tptp.hBOOL (tptp.hAPP_f1145574243l_bool (tptp.hAPP_P2139822957l_bool tptp.member1161907014t_char (tptp.hAPP_P1220989409t_char (tptp.hAPP_P1668407995t_char tptp.produc1299387215t_char (tptp.hAPP_e1752110927t_char (tptp.hAPP_l1859255743t_char tptp.produc1916172923t_char Xa_1) Xb_1)) _let_1)) R_1)) (not (tptp.hBOOL (tptp.hAPP_f1145574243l_bool (tptp.hAPP_P2139822957l_bool tptp.member1161907014t_char (tptp.hAPP_P1220989409t_char (tptp.hAPP_P1668407995t_char tptp.produc1299387215t_char _let_1) (tptp.hAPP_e1752110927t_char (tptp.hAPP_l1859255743t_char tptp.produc1916172923t_char Za) Zb))) (tptp.transi1789604888t_char R_1))))))))))))) (forall ((Xa_1 $$unsorted) (Xb_1 $$unsorted) (Za $$unsorted) (Zb $$unsorted) (R_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_P1392904962t_char (tptp.hAPP_l14371579t_char tptp.produc1909267824t_char Za) Zb))) (let ((_let_2 (tptp.hAPP_P1392904962t_char (tptp.hAPP_l14371579t_char tptp.produc1909267824t_char Xa_1) Xb_1))) (=> (tptp.hBOOL (tptp.hAPP_f258424141l_bool (tptp.hAPP_P409642305l_bool tptp.member125098544t_char (tptp.hAPP_P1333668416t_char (tptp.hAPP_P1859316965t_char tptp.produc57279289t_char _let_2) _let_1)) (tptp.transi1257872013t_char R_1))) (=> (not (= _let_2 _let_1)) (not (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_P1392904962t_char (tptp.hAPP_l14371579t_char tptp.produc1909267824t_char A_1) B_2))) (=> (tptp.hBOOL (tptp.hAPP_f258424141l_bool (tptp.hAPP_P409642305l_bool tptp.member125098544t_char (tptp.hAPP_P1333668416t_char (tptp.hAPP_P1859316965t_char tptp.produc57279289t_char (tptp.hAPP_P1392904962t_char (tptp.hAPP_l14371579t_char tptp.produc1909267824t_char Xa_1) Xb_1)) _let_1)) R_1)) (not (tptp.hBOOL (tptp.hAPP_f258424141l_bool (tptp.hAPP_P409642305l_bool tptp.member125098544t_char (tptp.hAPP_P1333668416t_char (tptp.hAPP_P1859316965t_char tptp.produc57279289t_char _let_1) (tptp.hAPP_P1392904962t_char (tptp.hAPP_l14371579t_char tptp.produc1909267824t_char Za) Zb))) (tptp.transi1257872013t_char R_1))))))))))))) (forall ((Xa_1 $$unsorted) (Xb_1 $$unsorted) (Za $$unsorted) (Zb $$unsorted) (R_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_P767818445t_char (tptp.hAPP_l1873467853t_char tptp.produc921874948t_char Za) Zb))) (let ((_let_2 (tptp.hAPP_P767818445t_char (tptp.hAPP_l1873467853t_char tptp.produc921874948t_char Xa_1) Xb_1))) (=> (tptp.hBOOL (tptp.hAPP_f528956081l_bool (tptp.hAPP_P325013257l_bool tptp.member1420286996t_char (tptp.hAPP_P1539798428t_char (tptp.hAPP_P719127871t_char tptp.produc24551831t_char _let_2) _let_1)) (tptp.transi122195895t_char R_1))) (=> (not (= _let_2 _let_1)) (not (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_P767818445t_char (tptp.hAPP_l1873467853t_char tptp.produc921874948t_char A_1) B_2))) (=> (tptp.hBOOL (tptp.hAPP_f528956081l_bool (tptp.hAPP_P325013257l_bool tptp.member1420286996t_char (tptp.hAPP_P1539798428t_char (tptp.hAPP_P719127871t_char tptp.produc24551831t_char (tptp.hAPP_P767818445t_char (tptp.hAPP_l1873467853t_char tptp.produc921874948t_char Xa_1) Xb_1)) _let_1)) R_1)) (not (tptp.hBOOL (tptp.hAPP_f528956081l_bool (tptp.hAPP_P325013257l_bool tptp.member1420286996t_char (tptp.hAPP_P1539798428t_char (tptp.hAPP_P719127871t_char tptp.produc24551831t_char _let_1) (tptp.hAPP_P767818445t_char (tptp.hAPP_l1873467853t_char tptp.produc921874948t_char Za) Zb))) (tptp.transi122195895t_char R_1))))))))))))) (forall ((Xa_1 $$unsorted) (Xb_1 $$unsorted) (Za $$unsorted) (Zb $$unsorted) (R_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val Za) Zb))) (let ((_let_2 (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val Xa_1) Xb_1))) (=> (tptp.hBOOL (tptp.hAPP_f1980787287l_bool (tptp.hAPP_P274544981l_bool tptp.member88670778on_val (tptp.hAPP_P1758592847on_val (tptp.hAPP_P2015431471on_val tptp.produc1951691075on_val _let_2) _let_1)) (tptp.transi208336786on_val R_1))) (=> (not (= _let_2 _let_1)) (not (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val A_1) B_2))) (=> (tptp.hBOOL (tptp.hAPP_f1980787287l_bool (tptp.hAPP_P274544981l_bool tptp.member88670778on_val (tptp.hAPP_P1758592847on_val (tptp.hAPP_P2015431471on_val tptp.produc1951691075on_val (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val Xa_1) Xb_1)) _let_1)) R_1)) (not (tptp.hBOOL (tptp.hAPP_f1980787287l_bool (tptp.hAPP_P274544981l_bool tptp.member88670778on_val (tptp.hAPP_P1758592847on_val (tptp.hAPP_P2015431471on_val tptp.produc1951691075on_val _let_1) (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val Za) Zb))) (tptp.transi208336786on_val R_1))))))))))))) (forall ((Xa_1 $$unsorted) (Xb_1 $$unsorted) (Za $$unsorted) (Zb $$unsorted) (R_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val Za) Zb))) (let ((_let_2 (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val Xa_1) Xb_1))) (=> (tptp.hBOOL (tptp.hAPP_f2129782055l_bool (tptp.hAPP_P124661l_bool tptp.member837208074al_val (tptp.hAPP_P47773639al_val (tptp.hAPP_P1874979071al_val tptp.produc1244920211al_val _let_2) _let_1)) (tptp.transi1423755450al_val R_1))) (=> (not (= _let_2 _let_1)) (not (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val A_1) B_2))) (=> (tptp.hBOOL (tptp.hAPP_f2129782055l_bool (tptp.hAPP_P124661l_bool tptp.member837208074al_val (tptp.hAPP_P47773639al_val (tptp.hAPP_P1874979071al_val tptp.produc1244920211al_val (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val Xa_1) Xb_1)) _let_1)) R_1)) (not (tptp.hBOOL (tptp.hAPP_f2129782055l_bool (tptp.hAPP_P124661l_bool tptp.member837208074al_val (tptp.hAPP_P47773639al_val (tptp.hAPP_P1874979071al_val tptp.produc1244920211al_val _let_1) (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val Za) Zb))) (tptp.transi1423755450al_val R_1))))))))))))) (forall ((Xa_1 $$unsorted) (Xb_1 $$unsorted) (Za $$unsorted) (Zb $$unsorted) (R_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val Za) Zb))) (let ((_let_2 (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val Xa_1) Xb_1))) (=> (tptp.hBOOL (tptp.hAPP_f126136681l_bool (tptp.hAPP_P982127993l_bool tptp.member1732271180al_val (tptp.hAPP_P2123720426al_val (tptp.hAPP_P1538518401al_val tptp.produc1924279125al_val _let_2) _let_1)) (tptp.transi1906258203al_val R_1))) (=> (not (= _let_2 _let_1)) (not (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val A_1) B_2))) (=> (tptp.is_bop A_1) (=> (tptp.hBOOL (tptp.hAPP_f126136681l_bool (tptp.hAPP_P982127993l_bool tptp.member1732271180al_val (tptp.hAPP_P2123720426al_val (tptp.hAPP_P1538518401al_val tptp.produc1924279125al_val (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val Xa_1) Xb_1)) _let_1)) R_1)) (not (tptp.hBOOL (tptp.hAPP_f126136681l_bool (tptp.hAPP_P982127993l_bool tptp.member1732271180al_val (tptp.hAPP_P2123720426al_val (tptp.hAPP_P1538518401al_val tptp.produc1924279125al_val _let_1) (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val Za) Zb))) (tptp.transi1906258203al_val R_1)))))))))))))) (forall ((Xa_1 $$unsorted) (Xb_1 $$unsorted) (Za $$unsorted) (Zb $$unsorted) (R_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char Za) Zb))) (let ((_let_2 (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char Xa_1) Xb_1))) (=> (tptp.hBOOL (tptp.hAPP_f851858423l_bool (tptp.hAPP_P786771093l_bool tptp.member794220506t_char (tptp.hAPP_P1657265855t_char (tptp.hAPP_P1071727823t_char tptp.produc2080520419t_char _let_2) _let_1)) (tptp.transi1095029602t_char R_1))) (=> (not (= _let_2 _let_1)) (not (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char A_1) B_2))) (=> (tptp.hBOOL (tptp.hAPP_f851858423l_bool (tptp.hAPP_P786771093l_bool tptp.member794220506t_char (tptp.hAPP_P1657265855t_char (tptp.hAPP_P1071727823t_char tptp.produc2080520419t_char (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char Xa_1) Xb_1)) _let_1)) R_1)) (not (tptp.hBOOL (tptp.hAPP_f851858423l_bool (tptp.hAPP_P786771093l_bool tptp.member794220506t_char (tptp.hAPP_P1657265855t_char (tptp.hAPP_P1071727823t_char tptp.produc2080520419t_char _let_1) (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char Za) Zb))) (tptp.transi1095029602t_char R_1))))))))))))) (forall ((Xa_1 $$unsorted) (Xb_1 $$unsorted) (Za $$unsorted) (Zb $$unsorted) (R_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val Za) Zb))) (let ((_let_2 (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val Xa_1) Xb_1))) (=> (tptp.hBOOL (tptp.hAPP_f665343921l_bool (tptp.hAPP_P502294281l_bool tptp.member1322055188on_val (tptp.hAPP_P330218428on_val (tptp.hAPP_P1875010047on_val tptp.produc499151895on_val _let_2) _let_1)) (tptp.transi61620055on_val R_1))) (=> (not (= _let_2 _let_1)) (not (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val A_1) B_2))) (=> (tptp.hBOOL (tptp.hAPP_f665343921l_bool (tptp.hAPP_P502294281l_bool tptp.member1322055188on_val (tptp.hAPP_P330218428on_val (tptp.hAPP_P1875010047on_val tptp.produc499151895on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val Xa_1) Xb_1)) _let_1)) R_1)) (not (tptp.hBOOL (tptp.hAPP_f665343921l_bool (tptp.hAPP_P502294281l_bool tptp.member1322055188on_val (tptp.hAPP_P330218428on_val (tptp.hAPP_P1875010047on_val tptp.produc499151895on_val _let_1) (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val Za) Zb))) (tptp.transi61620055on_val R_1))))))))))))) (forall ((Xa_1 $$unsorted) (Xb_1 $$unsorted) (Za $$unsorted) (Zb $$unsorted) (R_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Za) Zb))) (let ((_let_2 (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Xa_1) Xb_1))) (=> (tptp.hBOOL (tptp.hAPP_f1297673713l_bool (tptp.hAPP_P240409993l_bool tptp.member563141460on_val (tptp.hAPP_P291613419on_val (tptp.hAPP_P265246237on_val tptp.produc870913623on_val _let_2) _let_1)) (tptp.transi921647814on_val R_1))) (=> (not (= _let_2 _let_1)) (not (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val A_1) B_2))) (=> (tptp.hBOOL (tptp.hAPP_f1297673713l_bool (tptp.hAPP_P240409993l_bool tptp.member563141460on_val (tptp.hAPP_P291613419on_val (tptp.hAPP_P265246237on_val tptp.produc870913623on_val (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Xa_1) Xb_1)) _let_1)) R_1)) (not (tptp.hBOOL (tptp.hAPP_f1297673713l_bool (tptp.hAPP_P240409993l_bool tptp.member563141460on_val (tptp.hAPP_P291613419on_val (tptp.hAPP_P265246237on_val tptp.produc870913623on_val _let_1) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Za) Zb))) (tptp.transi921647814on_val R_1))))))))))))) (forall ((Xa_1 $$unsorted) (Xb_1 $$unsorted) (Za $$unsorted) (Zb $$unsorted) (R_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val Za) Zb))) (let ((_let_2 (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val Xa_1) Xb_1))) (=> (tptp.hBOOL (tptp.hAPP_f1261741735l_bool (tptp.hAPP_P1362631157l_bool tptp.member808015754on_val (tptp.hAPP_P1486793863on_val (tptp.hAPP_P2077211775on_val tptp.produc1564932627on_val _let_2) _let_1)) (tptp.transi910771962on_val R_1))) (=> (not (= _let_2 _let_1)) (not (forall ((A_1 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A_1) B_2))) (=> (tptp.hBOOL (tptp.hAPP_f1261741735l_bool (tptp.hAPP_P1362631157l_bool tptp.member808015754on_val (tptp.hAPP_P1486793863on_val (tptp.hAPP_P2077211775on_val tptp.produc1564932627on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val Xa_1) Xb_1)) _let_1)) R_1)) (not (tptp.hBOOL (tptp.hAPP_f1261741735l_bool (tptp.hAPP_P1362631157l_bool tptp.member808015754on_val (tptp.hAPP_P1486793863on_val (tptp.hAPP_P2077211775on_val tptp.produc1564932627on_val _let_1) (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val Za) Zb))) (tptp.transi910771962on_val R_1))))))))))))) (forall ((Pa $$unsorted) (Ax $$unsorted) (Ay $$unsorted) (Bx $$unsorted) (By $$unsorted) (R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.hAPP_P126004409l_bool tptp.member875476972on_val (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val Ax) Ay)) (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val Bx) By))) (tptp.transi374442731on_val R_1))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_l146377954l_bool Pa Bx) By)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val Aa) Ba))) (=> (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.hAPP_P126004409l_bool tptp.member875476972on_val (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val A_1) B_2)) _let_1)) R_1)) (=> (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.hAPP_P126004409l_bool tptp.member875476972on_val (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val _let_1) (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val Bx) By))) (tptp.transi374442731on_val R_1))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_l146377954l_bool Pa Aa) Ba)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_l146377954l_bool Pa A_1) B_2))))))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_l146377954l_bool Pa Ax) Ay)))))) (forall ((Pa $$unsorted) (Ax $$unsorted) (Ay $$unsorted) (Bx $$unsorted) (By $$unsorted) (R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Ax) Ay)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Bx) By))) (tptp.transi2024712006on_val R_1))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool Pa Bx) By)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Aa) Ba))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val A_1) B_2)) _let_1)) R_1)) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val _let_1) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Bx) By))) (tptp.transi2024712006on_val R_1))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool Pa Aa) Ba)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool Pa A_1) B_2))))))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool Pa Ax) Ay)))))) (forall ((Pa $$unsorted) (Ax $$unsorted) (Ay $$unsorted) (Bx $$unsorted) (By $$unsorted) (R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f595031537l_bool (tptp.hAPP_P1862681481l_bool tptp.member1999287380t_char (tptp.hAPP_P1342907945t_char (tptp.hAPP_P91410073t_char tptp.produc1897818327t_char (tptp.hAPP_e952791821t_char (tptp.hAPP_l796364813t_char tptp.produc1147572817t_char Ax) Ay)) (tptp.hAPP_e952791821t_char (tptp.hAPP_l796364813t_char tptp.produc1147572817t_char Bx) By))) (tptp.transi198989188t_char R_1))) (=> (tptp.hBOOL (tptp.hAPP_e544220455r_bool (tptp.hAPP_l214204733r_bool Pa Bx) By)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_e952791821t_char (tptp.hAPP_l796364813t_char tptp.produc1147572817t_char Aa) Ba))) (=> (tptp.hBOOL (tptp.hAPP_f595031537l_bool (tptp.hAPP_P1862681481l_bool tptp.member1999287380t_char (tptp.hAPP_P1342907945t_char (tptp.hAPP_P91410073t_char tptp.produc1897818327t_char (tptp.hAPP_e952791821t_char (tptp.hAPP_l796364813t_char tptp.produc1147572817t_char A_1) B_2)) _let_1)) R_1)) (=> (tptp.hBOOL (tptp.hAPP_f595031537l_bool (tptp.hAPP_P1862681481l_bool tptp.member1999287380t_char (tptp.hAPP_P1342907945t_char (tptp.hAPP_P91410073t_char tptp.produc1897818327t_char _let_1) (tptp.hAPP_e952791821t_char (tptp.hAPP_l796364813t_char tptp.produc1147572817t_char Bx) By))) (tptp.transi198989188t_char R_1))) (=> (tptp.hBOOL (tptp.hAPP_e544220455r_bool (tptp.hAPP_l214204733r_bool Pa Aa) Ba)) (tptp.hBOOL (tptp.hAPP_e544220455r_bool (tptp.hAPP_l214204733r_bool Pa A_1) B_2))))))) (tptp.hBOOL (tptp.hAPP_e544220455r_bool (tptp.hAPP_l214204733r_bool Pa Ax) Ay)))))) (forall ((Pa $$unsorted) (Ax $$unsorted) (Ay $$unsorted) (Bx $$unsorted) (By $$unsorted) (R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f126445617l_bool (tptp.hAPP_P1313790473l_bool tptp.member1551446420t_char (tptp.hAPP_P1247668062t_char (tptp.hAPP_P1756548163t_char tptp.produc635935767t_char (tptp.hAPP_l277216047t_char (tptp.hAPP_l352172327t_char tptp.produc1152259904t_char Ax) Ay)) (tptp.hAPP_l277216047t_char (tptp.hAPP_l352172327t_char tptp.produc1152259904t_char Bx) By))) (tptp.transi772168185t_char R_1))) (=> (tptp.hBOOL (tptp.hAPP_l902158906r_bool (tptp.hAPP_l24694616r_bool Pa Bx) By)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_l277216047t_char (tptp.hAPP_l352172327t_char tptp.produc1152259904t_char Aa) Ba))) (=> (tptp.hBOOL (tptp.hAPP_f126445617l_bool (tptp.hAPP_P1313790473l_bool tptp.member1551446420t_char (tptp.hAPP_P1247668062t_char (tptp.hAPP_P1756548163t_char tptp.produc635935767t_char (tptp.hAPP_l277216047t_char (tptp.hAPP_l352172327t_char tptp.produc1152259904t_char A_1) B_2)) _let_1)) R_1)) (=> (tptp.hBOOL (tptp.hAPP_f126445617l_bool (tptp.hAPP_P1313790473l_bool tptp.member1551446420t_char (tptp.hAPP_P1247668062t_char (tptp.hAPP_P1756548163t_char tptp.produc635935767t_char _let_1) (tptp.hAPP_l277216047t_char (tptp.hAPP_l352172327t_char tptp.produc1152259904t_char Bx) By))) (tptp.transi772168185t_char R_1))) (=> (tptp.hBOOL (tptp.hAPP_l902158906r_bool (tptp.hAPP_l24694616r_bool Pa Aa) Ba)) (tptp.hBOOL (tptp.hAPP_l902158906r_bool (tptp.hAPP_l24694616r_bool Pa A_1) B_2))))))) (tptp.hBOOL (tptp.hAPP_l902158906r_bool (tptp.hAPP_l24694616r_bool Pa Ax) Ay)))))) (forall ((Pa $$unsorted) (Ax $$unsorted) (Ay $$unsorted) (Bx $$unsorted) (By $$unsorted) (R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f272179441l_bool (tptp.hAPP_P396425609l_bool tptp.member1607118676t_char (tptp.hAPP_P579374437t_char (tptp.hAPP_P777914897t_char tptp.produc1431439831t_char (tptp.hAPP_P1423780764t_char (tptp.hAPP_l309186817t_char tptp.produc1483578759t_char Ax) Ay)) (tptp.hAPP_P1423780764t_char (tptp.hAPP_l309186817t_char tptp.produc1483578759t_char Bx) By))) (tptp.transi2005320128t_char R_1))) (=> (tptp.hBOOL (tptp.hAPP_P828904212r_bool (tptp.hAPP_l1342015621r_bool Pa Bx) By)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_P1423780764t_char (tptp.hAPP_l309186817t_char tptp.produc1483578759t_char Aa) Ba))) (=> (tptp.hBOOL (tptp.hAPP_f272179441l_bool (tptp.hAPP_P396425609l_bool tptp.member1607118676t_char (tptp.hAPP_P579374437t_char (tptp.hAPP_P777914897t_char tptp.produc1431439831t_char (tptp.hAPP_P1423780764t_char (tptp.hAPP_l309186817t_char tptp.produc1483578759t_char A_1) B_2)) _let_1)) R_1)) (=> (tptp.hBOOL (tptp.hAPP_f272179441l_bool (tptp.hAPP_P396425609l_bool tptp.member1607118676t_char (tptp.hAPP_P579374437t_char (tptp.hAPP_P777914897t_char tptp.produc1431439831t_char _let_1) (tptp.hAPP_P1423780764t_char (tptp.hAPP_l309186817t_char tptp.produc1483578759t_char Bx) By))) (tptp.transi2005320128t_char R_1))) (=> (tptp.hBOOL (tptp.hAPP_P828904212r_bool (tptp.hAPP_l1342015621r_bool Pa Aa) Ba)) (tptp.hBOOL (tptp.hAPP_P828904212r_bool (tptp.hAPP_l1342015621r_bool Pa A_1) B_2))))))) (tptp.hBOOL (tptp.hAPP_P828904212r_bool (tptp.hAPP_l1342015621r_bool Pa Ax) Ay)))))) (forall ((Pa $$unsorted) (Ax $$unsorted) (Ay $$unsorted) (Bx $$unsorted) (By $$unsorted) (R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f538118321l_bool (tptp.hAPP_P1390376713l_bool tptp.member162552852t_char (tptp.hAPP_P991802092t_char (tptp.hAPP_P1958775007t_char tptp.produc1641293463t_char (tptp.hAPP_P1224499548t_char (tptp.hAPP_l902950593t_char tptp.produc822965838t_char Ax) Ay)) (tptp.hAPP_P1224499548t_char (tptp.hAPP_l902950593t_char tptp.produc822965838t_char Bx) By))) (tptp.transi1123801095t_char R_1))) (=> (tptp.hBOOL (tptp.hAPP_P659547099r_bool (tptp.hAPP_l2140727500r_bool Pa Bx) By)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_P1224499548t_char (tptp.hAPP_l902950593t_char tptp.produc822965838t_char Aa) Ba))) (=> (tptp.hBOOL (tptp.hAPP_f538118321l_bool (tptp.hAPP_P1390376713l_bool tptp.member162552852t_char (tptp.hAPP_P991802092t_char (tptp.hAPP_P1958775007t_char tptp.produc1641293463t_char (tptp.hAPP_P1224499548t_char (tptp.hAPP_l902950593t_char tptp.produc822965838t_char A_1) B_2)) _let_1)) R_1)) (=> (tptp.hBOOL (tptp.hAPP_f538118321l_bool (tptp.hAPP_P1390376713l_bool tptp.member162552852t_char (tptp.hAPP_P991802092t_char (tptp.hAPP_P1958775007t_char tptp.produc1641293463t_char _let_1) (tptp.hAPP_P1224499548t_char (tptp.hAPP_l902950593t_char tptp.produc822965838t_char Bx) By))) (tptp.transi1123801095t_char R_1))) (=> (tptp.hBOOL (tptp.hAPP_P659547099r_bool (tptp.hAPP_l2140727500r_bool Pa Aa) Ba)) (tptp.hBOOL (tptp.hAPP_P659547099r_bool (tptp.hAPP_l2140727500r_bool Pa A_1) B_2))))))) (tptp.hBOOL (tptp.hAPP_P659547099r_bool (tptp.hAPP_l2140727500r_bool Pa Ax) Ay)))))) (forall ((Pa $$unsorted) (Ax $$unsorted) (Ay $$unsorted) (Bx $$unsorted) (By $$unsorted) (R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1145574243l_bool (tptp.hAPP_P2139822957l_bool tptp.member1161907014t_char (tptp.hAPP_P1220989409t_char (tptp.hAPP_P1668407995t_char tptp.produc1299387215t_char (tptp.hAPP_e1752110927t_char (tptp.hAPP_l1859255743t_char tptp.produc1916172923t_char Ax) Ay)) (tptp.hAPP_e1752110927t_char (tptp.hAPP_l1859255743t_char tptp.produc1916172923t_char Bx) By))) (tptp.transi1789604888t_char R_1))) (=> (tptp.hBOOL (tptp.hAPP_e544220455r_bool (tptp.hAPP_l1062423959r_bool Pa Bx) By)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_e1752110927t_char (tptp.hAPP_l1859255743t_char tptp.produc1916172923t_char Aa) Ba))) (=> (tptp.hBOOL (tptp.hAPP_f1145574243l_bool (tptp.hAPP_P2139822957l_bool tptp.member1161907014t_char (tptp.hAPP_P1220989409t_char (tptp.hAPP_P1668407995t_char tptp.produc1299387215t_char (tptp.hAPP_e1752110927t_char (tptp.hAPP_l1859255743t_char tptp.produc1916172923t_char A_1) B_2)) _let_1)) R_1)) (=> (tptp.hBOOL (tptp.hAPP_f1145574243l_bool (tptp.hAPP_P2139822957l_bool tptp.member1161907014t_char (tptp.hAPP_P1220989409t_char (tptp.hAPP_P1668407995t_char tptp.produc1299387215t_char _let_1) (tptp.hAPP_e1752110927t_char (tptp.hAPP_l1859255743t_char tptp.produc1916172923t_char Bx) By))) (tptp.transi1789604888t_char R_1))) (=> (tptp.hBOOL (tptp.hAPP_e544220455r_bool (tptp.hAPP_l1062423959r_bool Pa Aa) Ba)) (tptp.hBOOL (tptp.hAPP_e544220455r_bool (tptp.hAPP_l1062423959r_bool Pa A_1) B_2))))))) (tptp.hBOOL (tptp.hAPP_e544220455r_bool (tptp.hAPP_l1062423959r_bool Pa Ax) Ay)))))) (forall ((Pa $$unsorted) (Ax $$unsorted) (Ay $$unsorted) (Bx $$unsorted) (By $$unsorted) (R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f258424141l_bool (tptp.hAPP_P409642305l_bool tptp.member125098544t_char (tptp.hAPP_P1333668416t_char (tptp.hAPP_P1859316965t_char tptp.produc57279289t_char (tptp.hAPP_P1392904962t_char (tptp.hAPP_l14371579t_char tptp.produc1909267824t_char Ax) Ay)) (tptp.hAPP_P1392904962t_char (tptp.hAPP_l14371579t_char tptp.produc1909267824t_char Bx) By))) (tptp.transi1257872013t_char R_1))) (=> (tptp.hBOOL (tptp.hAPP_P2118621157r_bool (tptp.hAPP_l1987619678r_bool Pa Bx) By)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_P1392904962t_char (tptp.hAPP_l14371579t_char tptp.produc1909267824t_char Aa) Ba))) (=> (tptp.hBOOL (tptp.hAPP_f258424141l_bool (tptp.hAPP_P409642305l_bool tptp.member125098544t_char (tptp.hAPP_P1333668416t_char (tptp.hAPP_P1859316965t_char tptp.produc57279289t_char (tptp.hAPP_P1392904962t_char (tptp.hAPP_l14371579t_char tptp.produc1909267824t_char A_1) B_2)) _let_1)) R_1)) (=> (tptp.hBOOL (tptp.hAPP_f258424141l_bool (tptp.hAPP_P409642305l_bool tptp.member125098544t_char (tptp.hAPP_P1333668416t_char (tptp.hAPP_P1859316965t_char tptp.produc57279289t_char _let_1) (tptp.hAPP_P1392904962t_char (tptp.hAPP_l14371579t_char tptp.produc1909267824t_char Bx) By))) (tptp.transi1257872013t_char R_1))) (=> (tptp.hBOOL (tptp.hAPP_P2118621157r_bool (tptp.hAPP_l1987619678r_bool Pa Aa) Ba)) (tptp.hBOOL (tptp.hAPP_P2118621157r_bool (tptp.hAPP_l1987619678r_bool Pa A_1) B_2))))))) (tptp.hBOOL (tptp.hAPP_P2118621157r_bool (tptp.hAPP_l1987619678r_bool Pa Ax) Ay)))))) (forall ((Pa $$unsorted) (Ax $$unsorted) (Ay $$unsorted) (Bx $$unsorted) (By $$unsorted) (R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f528956081l_bool (tptp.hAPP_P325013257l_bool tptp.member1420286996t_char (tptp.hAPP_P1539798428t_char (tptp.hAPP_P719127871t_char tptp.produc24551831t_char (tptp.hAPP_P767818445t_char (tptp.hAPP_l1873467853t_char tptp.produc921874948t_char Ax) Ay)) (tptp.hAPP_P767818445t_char (tptp.hAPP_l1873467853t_char tptp.produc921874948t_char Bx) By))) (tptp.transi122195895t_char R_1))) (=> (tptp.hBOOL (tptp.hAPP_P1907982426r_bool (tptp.hAPP_l217977712r_bool Pa Bx) By)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_P767818445t_char (tptp.hAPP_l1873467853t_char tptp.produc921874948t_char Aa) Ba))) (=> (tptp.hBOOL (tptp.hAPP_f528956081l_bool (tptp.hAPP_P325013257l_bool tptp.member1420286996t_char (tptp.hAPP_P1539798428t_char (tptp.hAPP_P719127871t_char tptp.produc24551831t_char (tptp.hAPP_P767818445t_char (tptp.hAPP_l1873467853t_char tptp.produc921874948t_char A_1) B_2)) _let_1)) R_1)) (=> (tptp.hBOOL (tptp.hAPP_f528956081l_bool (tptp.hAPP_P325013257l_bool tptp.member1420286996t_char (tptp.hAPP_P1539798428t_char (tptp.hAPP_P719127871t_char tptp.produc24551831t_char _let_1) (tptp.hAPP_P767818445t_char (tptp.hAPP_l1873467853t_char tptp.produc921874948t_char Bx) By))) (tptp.transi122195895t_char R_1))) (=> (tptp.hBOOL (tptp.hAPP_P1907982426r_bool (tptp.hAPP_l217977712r_bool Pa Aa) Ba)) (tptp.hBOOL (tptp.hAPP_P1907982426r_bool (tptp.hAPP_l217977712r_bool Pa A_1) B_2))))))) (tptp.hBOOL (tptp.hAPP_P1907982426r_bool (tptp.hAPP_l217977712r_bool Pa Ax) Ay)))))) (forall ((Pa $$unsorted) (Ax $$unsorted) (Ay $$unsorted) (Bx $$unsorted) (By $$unsorted) (R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1980787287l_bool (tptp.hAPP_P274544981l_bool tptp.member88670778on_val (tptp.hAPP_P1758592847on_val (tptp.hAPP_P2015431471on_val tptp.produc1951691075on_val (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val Ax) Ay)) (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val Bx) By))) (tptp.transi208336786on_val R_1))) (=> (tptp.hBOOL (tptp.hAPP_P71593144l_bool (tptp.hAPP_P1183008383l_bool Pa Bx) By)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val Aa) Ba))) (=> (tptp.hBOOL (tptp.hAPP_f1980787287l_bool (tptp.hAPP_P274544981l_bool tptp.member88670778on_val (tptp.hAPP_P1758592847on_val (tptp.hAPP_P2015431471on_val tptp.produc1951691075on_val (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val A_1) B_2)) _let_1)) R_1)) (=> (tptp.hBOOL (tptp.hAPP_f1980787287l_bool (tptp.hAPP_P274544981l_bool tptp.member88670778on_val (tptp.hAPP_P1758592847on_val (tptp.hAPP_P2015431471on_val tptp.produc1951691075on_val _let_1) (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val Bx) By))) (tptp.transi208336786on_val R_1))) (=> (tptp.hBOOL (tptp.hAPP_P71593144l_bool (tptp.hAPP_P1183008383l_bool Pa Aa) Ba)) (tptp.hBOOL (tptp.hAPP_P71593144l_bool (tptp.hAPP_P1183008383l_bool Pa A_1) B_2))))))) (tptp.hBOOL (tptp.hAPP_P71593144l_bool (tptp.hAPP_P1183008383l_bool Pa Ax) Ay)))))) (forall ((Pa $$unsorted) (Ax $$unsorted) (Ay $$unsorted) (Bx $$unsorted) (By $$unsorted) (R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2129782055l_bool (tptp.hAPP_P124661l_bool tptp.member837208074al_val (tptp.hAPP_P47773639al_val (tptp.hAPP_P1874979071al_val tptp.produc1244920211al_val (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val Ax) Ay)) (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val Bx) By))) (tptp.transi1423755450al_val R_1))) (=> (tptp.hBOOL (tptp.hAPP_val_bool (tptp.hAPP_v1392248405l_bool Pa Bx) By)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val Aa) Ba))) (=> (tptp.hBOOL (tptp.hAPP_f2129782055l_bool (tptp.hAPP_P124661l_bool tptp.member837208074al_val (tptp.hAPP_P47773639al_val (tptp.hAPP_P1874979071al_val tptp.produc1244920211al_val (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val A_1) B_2)) _let_1)) R_1)) (=> (tptp.hBOOL (tptp.hAPP_f2129782055l_bool (tptp.hAPP_P124661l_bool tptp.member837208074al_val (tptp.hAPP_P47773639al_val (tptp.hAPP_P1874979071al_val tptp.produc1244920211al_val _let_1) (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val Bx) By))) (tptp.transi1423755450al_val R_1))) (=> (tptp.hBOOL (tptp.hAPP_val_bool (tptp.hAPP_v1392248405l_bool Pa Aa) Ba)) (tptp.hBOOL (tptp.hAPP_val_bool (tptp.hAPP_v1392248405l_bool Pa A_1) B_2))))))) (tptp.hBOOL (tptp.hAPP_val_bool (tptp.hAPP_v1392248405l_bool Pa Ax) Ay)))))) (forall ((Pa $$unsorted) (Ax $$unsorted) (Ay $$unsorted) (Bx $$unsorted) (By $$unsorted) (R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f126136681l_bool (tptp.hAPP_P982127993l_bool tptp.member1732271180al_val (tptp.hAPP_P2123720426al_val (tptp.hAPP_P1538518401al_val tptp.produc1924279125al_val (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val Ax) Ay)) (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val Bx) By))) (tptp.transi1906258203al_val R_1))) (=> (tptp.hBOOL (tptp.hAPP_P929938951l_bool (tptp.hAPP_b97269396l_bool Pa Bx) By)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val Aa) Ba))) (=> (and (tptp.is_bop A_1) (tptp.is_bop Aa)) (=> (tptp.hBOOL (tptp.hAPP_f126136681l_bool (tptp.hAPP_P982127993l_bool tptp.member1732271180al_val (tptp.hAPP_P2123720426al_val (tptp.hAPP_P1538518401al_val tptp.produc1924279125al_val (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val A_1) B_2)) _let_1)) R_1)) (=> (tptp.hBOOL (tptp.hAPP_f126136681l_bool (tptp.hAPP_P982127993l_bool tptp.member1732271180al_val (tptp.hAPP_P2123720426al_val (tptp.hAPP_P1538518401al_val tptp.produc1924279125al_val _let_1) (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val Bx) By))) (tptp.transi1906258203al_val R_1))) (=> (tptp.hBOOL (tptp.hAPP_P929938951l_bool (tptp.hAPP_b97269396l_bool Pa Aa) Ba)) (tptp.hBOOL (tptp.hAPP_P929938951l_bool (tptp.hAPP_b97269396l_bool Pa A_1) B_2)))))))) (tptp.hBOOL (tptp.hAPP_P929938951l_bool (tptp.hAPP_b97269396l_bool Pa Ax) Ay)))))) (forall ((Pa $$unsorted) (Ax $$unsorted) (Ay $$unsorted) (Bx $$unsorted) (By $$unsorted) (R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f851858423l_bool (tptp.hAPP_P786771093l_bool tptp.member794220506t_char (tptp.hAPP_P1657265855t_char (tptp.hAPP_P1071727823t_char tptp.produc2080520419t_char (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char Ax) Ay)) (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char Bx) By))) (tptp.transi1095029602t_char R_1))) (=> (tptp.hBOOL (tptp.hAPP_list_char_bool (tptp.hAPP_l1361600383r_bool Pa Bx) By)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char Aa) Ba))) (=> (tptp.hBOOL (tptp.hAPP_f851858423l_bool (tptp.hAPP_P786771093l_bool tptp.member794220506t_char (tptp.hAPP_P1657265855t_char (tptp.hAPP_P1071727823t_char tptp.produc2080520419t_char (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char A_1) B_2)) _let_1)) R_1)) (=> (tptp.hBOOL (tptp.hAPP_f851858423l_bool (tptp.hAPP_P786771093l_bool tptp.member794220506t_char (tptp.hAPP_P1657265855t_char (tptp.hAPP_P1071727823t_char tptp.produc2080520419t_char _let_1) (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char Bx) By))) (tptp.transi1095029602t_char R_1))) (=> (tptp.hBOOL (tptp.hAPP_list_char_bool (tptp.hAPP_l1361600383r_bool Pa Aa) Ba)) (tptp.hBOOL (tptp.hAPP_list_char_bool (tptp.hAPP_l1361600383r_bool Pa A_1) B_2))))))) (tptp.hBOOL (tptp.hAPP_list_char_bool (tptp.hAPP_l1361600383r_bool Pa Ax) Ay)))))) (forall ((Pa $$unsorted) (Ax $$unsorted) (Ay $$unsorted) (Bx $$unsorted) (By $$unsorted) (R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f665343921l_bool (tptp.hAPP_P502294281l_bool tptp.member1322055188on_val (tptp.hAPP_P330218428on_val (tptp.hAPP_P1875010047on_val tptp.produc499151895on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val Ax) Ay)) (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val Bx) By))) (tptp.transi61620055on_val R_1))) (=> (tptp.hBOOL (tptp.hAPP_f1715346603l_bool (tptp.hAPP_l465799708l_bool Pa Bx) By)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val Aa) Ba))) (=> (tptp.hBOOL (tptp.hAPP_f665343921l_bool (tptp.hAPP_P502294281l_bool tptp.member1322055188on_val (tptp.hAPP_P330218428on_val (tptp.hAPP_P1875010047on_val tptp.produc499151895on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val A_1) B_2)) _let_1)) R_1)) (=> (tptp.hBOOL (tptp.hAPP_f665343921l_bool (tptp.hAPP_P502294281l_bool tptp.member1322055188on_val (tptp.hAPP_P330218428on_val (tptp.hAPP_P1875010047on_val tptp.produc499151895on_val _let_1) (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val Bx) By))) (tptp.transi61620055on_val R_1))) (=> (tptp.hBOOL (tptp.hAPP_f1715346603l_bool (tptp.hAPP_l465799708l_bool Pa Aa) Ba)) (tptp.hBOOL (tptp.hAPP_f1715346603l_bool (tptp.hAPP_l465799708l_bool Pa A_1) B_2))))))) (tptp.hBOOL (tptp.hAPP_f1715346603l_bool (tptp.hAPP_l465799708l_bool Pa Ax) Ay)))))) (forall ((Pa $$unsorted) (Ax $$unsorted) (Ay $$unsorted) (Bx $$unsorted) (By $$unsorted) (R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1297673713l_bool (tptp.hAPP_P240409993l_bool tptp.member563141460on_val (tptp.hAPP_P291613419on_val (tptp.hAPP_P265246237on_val tptp.produc870913623on_val (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Ax) Ay)) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Bx) By))) (tptp.transi921647814on_val R_1))) (=> (tptp.hBOOL (tptp.hAPP_f1033709212l_bool (tptp.hAPP_f1175813647l_bool Pa Bx) By)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Aa) Ba))) (=> (tptp.hBOOL (tptp.hAPP_f1297673713l_bool (tptp.hAPP_P240409993l_bool tptp.member563141460on_val (tptp.hAPP_P291613419on_val (tptp.hAPP_P265246237on_val tptp.produc870913623on_val (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val A_1) B_2)) _let_1)) R_1)) (=> (tptp.hBOOL (tptp.hAPP_f1297673713l_bool (tptp.hAPP_P240409993l_bool tptp.member563141460on_val (tptp.hAPP_P291613419on_val (tptp.hAPP_P265246237on_val tptp.produc870913623on_val _let_1) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Bx) By))) (tptp.transi921647814on_val R_1))) (=> (tptp.hBOOL (tptp.hAPP_f1033709212l_bool (tptp.hAPP_f1175813647l_bool Pa Aa) Ba)) (tptp.hBOOL (tptp.hAPP_f1033709212l_bool (tptp.hAPP_f1175813647l_bool Pa A_1) B_2))))))) (tptp.hBOOL (tptp.hAPP_f1033709212l_bool (tptp.hAPP_f1175813647l_bool Pa Ax) Ay)))))) (forall ((Pa $$unsorted) (Ax $$unsorted) (Ay $$unsorted) (Bx $$unsorted) (By $$unsorted) (R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1261741735l_bool (tptp.hAPP_P1362631157l_bool tptp.member808015754on_val (tptp.hAPP_P1486793863on_val (tptp.hAPP_P2077211775on_val tptp.produc1564932627on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val Ax) Ay)) (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val Bx) By))) (tptp.transi910771962on_val R_1))) (=> (tptp.hBOOL (tptp.hAPP_P1708370145l_bool (tptp.hAPP_P1116729363l_bool Pa Bx) By)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val Aa) Ba))) (=> (tptp.hBOOL (tptp.hAPP_f1261741735l_bool (tptp.hAPP_P1362631157l_bool tptp.member808015754on_val (tptp.hAPP_P1486793863on_val (tptp.hAPP_P2077211775on_val tptp.produc1564932627on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A_1) B_2)) _let_1)) R_1)) (=> (tptp.hBOOL (tptp.hAPP_f1261741735l_bool (tptp.hAPP_P1362631157l_bool tptp.member808015754on_val (tptp.hAPP_P1486793863on_val (tptp.hAPP_P2077211775on_val tptp.produc1564932627on_val _let_1) (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val Bx) By))) (tptp.transi910771962on_val R_1))) (=> (tptp.hBOOL (tptp.hAPP_P1708370145l_bool (tptp.hAPP_P1116729363l_bool Pa Aa) Ba)) (tptp.hBOOL (tptp.hAPP_P1708370145l_bool (tptp.hAPP_P1116729363l_bool Pa A_1) B_2))))))) (tptp.hBOOL (tptp.hAPP_P1708370145l_bool (tptp.hAPP_P1116729363l_bool Pa Ax) Ay)))))) (forall ((Pa $$unsorted) (Ax $$unsorted) (Ay $$unsorted) (Bx $$unsorted) (By $$unsorted) (R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.hAPP_P126004409l_bool tptp.member875476972on_val (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val Ax) Ay)) (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val Bx) By))) (tptp.transi374442731on_val R_1))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_l146377954l_bool Pa Ax) Ay)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val A_1) B_2))) (=> (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.hAPP_P126004409l_bool tptp.member875476972on_val (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val Ax) Ay)) _let_1)) (tptp.transi374442731on_val R_1))) (=> (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.hAPP_P126004409l_bool tptp.member875476972on_val (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val _let_1) (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val Aa) Ba))) R_1)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_l146377954l_bool Pa A_1) B_2)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_l146377954l_bool Pa Aa) Ba))))))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_l146377954l_bool Pa Bx) By)))))) (forall ((Pa $$unsorted) (Ax $$unsorted) (Ay $$unsorted) (Bx $$unsorted) (By $$unsorted) (R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Ax) Ay)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Bx) By))) (tptp.transi2024712006on_val R_1))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool Pa Ax) Ay)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val A_1) B_2))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Ax) Ay)) _let_1)) (tptp.transi2024712006on_val R_1))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val _let_1) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Aa) Ba))) R_1)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool Pa A_1) B_2)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool Pa Aa) Ba))))))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool Pa Bx) By)))))) (forall ((Pa $$unsorted) (Ax $$unsorted) (Ay $$unsorted) (Bx $$unsorted) (By $$unsorted) (R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f595031537l_bool (tptp.hAPP_P1862681481l_bool tptp.member1999287380t_char (tptp.hAPP_P1342907945t_char (tptp.hAPP_P91410073t_char tptp.produc1897818327t_char (tptp.hAPP_e952791821t_char (tptp.hAPP_l796364813t_char tptp.produc1147572817t_char Ax) Ay)) (tptp.hAPP_e952791821t_char (tptp.hAPP_l796364813t_char tptp.produc1147572817t_char Bx) By))) (tptp.transi198989188t_char R_1))) (=> (tptp.hBOOL (tptp.hAPP_e544220455r_bool (tptp.hAPP_l214204733r_bool Pa Ax) Ay)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_e952791821t_char (tptp.hAPP_l796364813t_char tptp.produc1147572817t_char A_1) B_2))) (=> (tptp.hBOOL (tptp.hAPP_f595031537l_bool (tptp.hAPP_P1862681481l_bool tptp.member1999287380t_char (tptp.hAPP_P1342907945t_char (tptp.hAPP_P91410073t_char tptp.produc1897818327t_char (tptp.hAPP_e952791821t_char (tptp.hAPP_l796364813t_char tptp.produc1147572817t_char Ax) Ay)) _let_1)) (tptp.transi198989188t_char R_1))) (=> (tptp.hBOOL (tptp.hAPP_f595031537l_bool (tptp.hAPP_P1862681481l_bool tptp.member1999287380t_char (tptp.hAPP_P1342907945t_char (tptp.hAPP_P91410073t_char tptp.produc1897818327t_char _let_1) (tptp.hAPP_e952791821t_char (tptp.hAPP_l796364813t_char tptp.produc1147572817t_char Aa) Ba))) R_1)) (=> (tptp.hBOOL (tptp.hAPP_e544220455r_bool (tptp.hAPP_l214204733r_bool Pa A_1) B_2)) (tptp.hBOOL (tptp.hAPP_e544220455r_bool (tptp.hAPP_l214204733r_bool Pa Aa) Ba))))))) (tptp.hBOOL (tptp.hAPP_e544220455r_bool (tptp.hAPP_l214204733r_bool Pa Bx) By)))))) (forall ((Pa $$unsorted) (Ax $$unsorted) (Ay $$unsorted) (Bx $$unsorted) (By $$unsorted) (R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f126445617l_bool (tptp.hAPP_P1313790473l_bool tptp.member1551446420t_char (tptp.hAPP_P1247668062t_char (tptp.hAPP_P1756548163t_char tptp.produc635935767t_char (tptp.hAPP_l277216047t_char (tptp.hAPP_l352172327t_char tptp.produc1152259904t_char Ax) Ay)) (tptp.hAPP_l277216047t_char (tptp.hAPP_l352172327t_char tptp.produc1152259904t_char Bx) By))) (tptp.transi772168185t_char R_1))) (=> (tptp.hBOOL (tptp.hAPP_l902158906r_bool (tptp.hAPP_l24694616r_bool Pa Ax) Ay)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_l277216047t_char (tptp.hAPP_l352172327t_char tptp.produc1152259904t_char A_1) B_2))) (=> (tptp.hBOOL (tptp.hAPP_f126445617l_bool (tptp.hAPP_P1313790473l_bool tptp.member1551446420t_char (tptp.hAPP_P1247668062t_char (tptp.hAPP_P1756548163t_char tptp.produc635935767t_char (tptp.hAPP_l277216047t_char (tptp.hAPP_l352172327t_char tptp.produc1152259904t_char Ax) Ay)) _let_1)) (tptp.transi772168185t_char R_1))) (=> (tptp.hBOOL (tptp.hAPP_f126445617l_bool (tptp.hAPP_P1313790473l_bool tptp.member1551446420t_char (tptp.hAPP_P1247668062t_char (tptp.hAPP_P1756548163t_char tptp.produc635935767t_char _let_1) (tptp.hAPP_l277216047t_char (tptp.hAPP_l352172327t_char tptp.produc1152259904t_char Aa) Ba))) R_1)) (=> (tptp.hBOOL (tptp.hAPP_l902158906r_bool (tptp.hAPP_l24694616r_bool Pa A_1) B_2)) (tptp.hBOOL (tptp.hAPP_l902158906r_bool (tptp.hAPP_l24694616r_bool Pa Aa) Ba))))))) (tptp.hBOOL (tptp.hAPP_l902158906r_bool (tptp.hAPP_l24694616r_bool Pa Bx) By)))))) (forall ((Pa $$unsorted) (Ax $$unsorted) (Ay $$unsorted) (Bx $$unsorted) (By $$unsorted) (R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f272179441l_bool (tptp.hAPP_P396425609l_bool tptp.member1607118676t_char (tptp.hAPP_P579374437t_char (tptp.hAPP_P777914897t_char tptp.produc1431439831t_char (tptp.hAPP_P1423780764t_char (tptp.hAPP_l309186817t_char tptp.produc1483578759t_char Ax) Ay)) (tptp.hAPP_P1423780764t_char (tptp.hAPP_l309186817t_char tptp.produc1483578759t_char Bx) By))) (tptp.transi2005320128t_char R_1))) (=> (tptp.hBOOL (tptp.hAPP_P828904212r_bool (tptp.hAPP_l1342015621r_bool Pa Ax) Ay)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_P1423780764t_char (tptp.hAPP_l309186817t_char tptp.produc1483578759t_char A_1) B_2))) (=> (tptp.hBOOL (tptp.hAPP_f272179441l_bool (tptp.hAPP_P396425609l_bool tptp.member1607118676t_char (tptp.hAPP_P579374437t_char (tptp.hAPP_P777914897t_char tptp.produc1431439831t_char (tptp.hAPP_P1423780764t_char (tptp.hAPP_l309186817t_char tptp.produc1483578759t_char Ax) Ay)) _let_1)) (tptp.transi2005320128t_char R_1))) (=> (tptp.hBOOL (tptp.hAPP_f272179441l_bool (tptp.hAPP_P396425609l_bool tptp.member1607118676t_char (tptp.hAPP_P579374437t_char (tptp.hAPP_P777914897t_char tptp.produc1431439831t_char _let_1) (tptp.hAPP_P1423780764t_char (tptp.hAPP_l309186817t_char tptp.produc1483578759t_char Aa) Ba))) R_1)) (=> (tptp.hBOOL (tptp.hAPP_P828904212r_bool (tptp.hAPP_l1342015621r_bool Pa A_1) B_2)) (tptp.hBOOL (tptp.hAPP_P828904212r_bool (tptp.hAPP_l1342015621r_bool Pa Aa) Ba))))))) (tptp.hBOOL (tptp.hAPP_P828904212r_bool (tptp.hAPP_l1342015621r_bool Pa Bx) By)))))) (forall ((Pa $$unsorted) (Ax $$unsorted) (Ay $$unsorted) (Bx $$unsorted) (By $$unsorted) (R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f538118321l_bool (tptp.hAPP_P1390376713l_bool tptp.member162552852t_char (tptp.hAPP_P991802092t_char (tptp.hAPP_P1958775007t_char tptp.produc1641293463t_char (tptp.hAPP_P1224499548t_char (tptp.hAPP_l902950593t_char tptp.produc822965838t_char Ax) Ay)) (tptp.hAPP_P1224499548t_char (tptp.hAPP_l902950593t_char tptp.produc822965838t_char Bx) By))) (tptp.transi1123801095t_char R_1))) (=> (tptp.hBOOL (tptp.hAPP_P659547099r_bool (tptp.hAPP_l2140727500r_bool Pa Ax) Ay)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_P1224499548t_char (tptp.hAPP_l902950593t_char tptp.produc822965838t_char A_1) B_2))) (=> (tptp.hBOOL (tptp.hAPP_f538118321l_bool (tptp.hAPP_P1390376713l_bool tptp.member162552852t_char (tptp.hAPP_P991802092t_char (tptp.hAPP_P1958775007t_char tptp.produc1641293463t_char (tptp.hAPP_P1224499548t_char (tptp.hAPP_l902950593t_char tptp.produc822965838t_char Ax) Ay)) _let_1)) (tptp.transi1123801095t_char R_1))) (=> (tptp.hBOOL (tptp.hAPP_f538118321l_bool (tptp.hAPP_P1390376713l_bool tptp.member162552852t_char (tptp.hAPP_P991802092t_char (tptp.hAPP_P1958775007t_char tptp.produc1641293463t_char _let_1) (tptp.hAPP_P1224499548t_char (tptp.hAPP_l902950593t_char tptp.produc822965838t_char Aa) Ba))) R_1)) (=> (tptp.hBOOL (tptp.hAPP_P659547099r_bool (tptp.hAPP_l2140727500r_bool Pa A_1) B_2)) (tptp.hBOOL (tptp.hAPP_P659547099r_bool (tptp.hAPP_l2140727500r_bool Pa Aa) Ba))))))) (tptp.hBOOL (tptp.hAPP_P659547099r_bool (tptp.hAPP_l2140727500r_bool Pa Bx) By)))))) (forall ((Pa $$unsorted) (Ax $$unsorted) (Ay $$unsorted) (Bx $$unsorted) (By $$unsorted) (R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1145574243l_bool (tptp.hAPP_P2139822957l_bool tptp.member1161907014t_char (tptp.hAPP_P1220989409t_char (tptp.hAPP_P1668407995t_char tptp.produc1299387215t_char (tptp.hAPP_e1752110927t_char (tptp.hAPP_l1859255743t_char tptp.produc1916172923t_char Ax) Ay)) (tptp.hAPP_e1752110927t_char (tptp.hAPP_l1859255743t_char tptp.produc1916172923t_char Bx) By))) (tptp.transi1789604888t_char R_1))) (=> (tptp.hBOOL (tptp.hAPP_e544220455r_bool (tptp.hAPP_l1062423959r_bool Pa Ax) Ay)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_e1752110927t_char (tptp.hAPP_l1859255743t_char tptp.produc1916172923t_char A_1) B_2))) (=> (tptp.hBOOL (tptp.hAPP_f1145574243l_bool (tptp.hAPP_P2139822957l_bool tptp.member1161907014t_char (tptp.hAPP_P1220989409t_char (tptp.hAPP_P1668407995t_char tptp.produc1299387215t_char (tptp.hAPP_e1752110927t_char (tptp.hAPP_l1859255743t_char tptp.produc1916172923t_char Ax) Ay)) _let_1)) (tptp.transi1789604888t_char R_1))) (=> (tptp.hBOOL (tptp.hAPP_f1145574243l_bool (tptp.hAPP_P2139822957l_bool tptp.member1161907014t_char (tptp.hAPP_P1220989409t_char (tptp.hAPP_P1668407995t_char tptp.produc1299387215t_char _let_1) (tptp.hAPP_e1752110927t_char (tptp.hAPP_l1859255743t_char tptp.produc1916172923t_char Aa) Ba))) R_1)) (=> (tptp.hBOOL (tptp.hAPP_e544220455r_bool (tptp.hAPP_l1062423959r_bool Pa A_1) B_2)) (tptp.hBOOL (tptp.hAPP_e544220455r_bool (tptp.hAPP_l1062423959r_bool Pa Aa) Ba))))))) (tptp.hBOOL (tptp.hAPP_e544220455r_bool (tptp.hAPP_l1062423959r_bool Pa Bx) By)))))) (forall ((Pa $$unsorted) (Ax $$unsorted) (Ay $$unsorted) (Bx $$unsorted) (By $$unsorted) (R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f258424141l_bool (tptp.hAPP_P409642305l_bool tptp.member125098544t_char (tptp.hAPP_P1333668416t_char (tptp.hAPP_P1859316965t_char tptp.produc57279289t_char (tptp.hAPP_P1392904962t_char (tptp.hAPP_l14371579t_char tptp.produc1909267824t_char Ax) Ay)) (tptp.hAPP_P1392904962t_char (tptp.hAPP_l14371579t_char tptp.produc1909267824t_char Bx) By))) (tptp.transi1257872013t_char R_1))) (=> (tptp.hBOOL (tptp.hAPP_P2118621157r_bool (tptp.hAPP_l1987619678r_bool Pa Ax) Ay)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_P1392904962t_char (tptp.hAPP_l14371579t_char tptp.produc1909267824t_char A_1) B_2))) (=> (tptp.hBOOL (tptp.hAPP_f258424141l_bool (tptp.hAPP_P409642305l_bool tptp.member125098544t_char (tptp.hAPP_P1333668416t_char (tptp.hAPP_P1859316965t_char tptp.produc57279289t_char (tptp.hAPP_P1392904962t_char (tptp.hAPP_l14371579t_char tptp.produc1909267824t_char Ax) Ay)) _let_1)) (tptp.transi1257872013t_char R_1))) (=> (tptp.hBOOL (tptp.hAPP_f258424141l_bool (tptp.hAPP_P409642305l_bool tptp.member125098544t_char (tptp.hAPP_P1333668416t_char (tptp.hAPP_P1859316965t_char tptp.produc57279289t_char _let_1) (tptp.hAPP_P1392904962t_char (tptp.hAPP_l14371579t_char tptp.produc1909267824t_char Aa) Ba))) R_1)) (=> (tptp.hBOOL (tptp.hAPP_P2118621157r_bool (tptp.hAPP_l1987619678r_bool Pa A_1) B_2)) (tptp.hBOOL (tptp.hAPP_P2118621157r_bool (tptp.hAPP_l1987619678r_bool Pa Aa) Ba))))))) (tptp.hBOOL (tptp.hAPP_P2118621157r_bool (tptp.hAPP_l1987619678r_bool Pa Bx) By)))))) (forall ((Pa $$unsorted) (Ax $$unsorted) (Ay $$unsorted) (Bx $$unsorted) (By $$unsorted) (R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f528956081l_bool (tptp.hAPP_P325013257l_bool tptp.member1420286996t_char (tptp.hAPP_P1539798428t_char (tptp.hAPP_P719127871t_char tptp.produc24551831t_char (tptp.hAPP_P767818445t_char (tptp.hAPP_l1873467853t_char tptp.produc921874948t_char Ax) Ay)) (tptp.hAPP_P767818445t_char (tptp.hAPP_l1873467853t_char tptp.produc921874948t_char Bx) By))) (tptp.transi122195895t_char R_1))) (=> (tptp.hBOOL (tptp.hAPP_P1907982426r_bool (tptp.hAPP_l217977712r_bool Pa Ax) Ay)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_P767818445t_char (tptp.hAPP_l1873467853t_char tptp.produc921874948t_char A_1) B_2))) (=> (tptp.hBOOL (tptp.hAPP_f528956081l_bool (tptp.hAPP_P325013257l_bool tptp.member1420286996t_char (tptp.hAPP_P1539798428t_char (tptp.hAPP_P719127871t_char tptp.produc24551831t_char (tptp.hAPP_P767818445t_char (tptp.hAPP_l1873467853t_char tptp.produc921874948t_char Ax) Ay)) _let_1)) (tptp.transi122195895t_char R_1))) (=> (tptp.hBOOL (tptp.hAPP_f528956081l_bool (tptp.hAPP_P325013257l_bool tptp.member1420286996t_char (tptp.hAPP_P1539798428t_char (tptp.hAPP_P719127871t_char tptp.produc24551831t_char _let_1) (tptp.hAPP_P767818445t_char (tptp.hAPP_l1873467853t_char tptp.produc921874948t_char Aa) Ba))) R_1)) (=> (tptp.hBOOL (tptp.hAPP_P1907982426r_bool (tptp.hAPP_l217977712r_bool Pa A_1) B_2)) (tptp.hBOOL (tptp.hAPP_P1907982426r_bool (tptp.hAPP_l217977712r_bool Pa Aa) Ba))))))) (tptp.hBOOL (tptp.hAPP_P1907982426r_bool (tptp.hAPP_l217977712r_bool Pa Bx) By)))))) (forall ((Pa $$unsorted) (Ax $$unsorted) (Ay $$unsorted) (Bx $$unsorted) (By $$unsorted) (R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1980787287l_bool (tptp.hAPP_P274544981l_bool tptp.member88670778on_val (tptp.hAPP_P1758592847on_val (tptp.hAPP_P2015431471on_val tptp.produc1951691075on_val (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val Ax) Ay)) (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val Bx) By))) (tptp.transi208336786on_val R_1))) (=> (tptp.hBOOL (tptp.hAPP_P71593144l_bool (tptp.hAPP_P1183008383l_bool Pa Ax) Ay)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val A_1) B_2))) (=> (tptp.hBOOL (tptp.hAPP_f1980787287l_bool (tptp.hAPP_P274544981l_bool tptp.member88670778on_val (tptp.hAPP_P1758592847on_val (tptp.hAPP_P2015431471on_val tptp.produc1951691075on_val (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val Ax) Ay)) _let_1)) (tptp.transi208336786on_val R_1))) (=> (tptp.hBOOL (tptp.hAPP_f1980787287l_bool (tptp.hAPP_P274544981l_bool tptp.member88670778on_val (tptp.hAPP_P1758592847on_val (tptp.hAPP_P2015431471on_val tptp.produc1951691075on_val _let_1) (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val Aa) Ba))) R_1)) (=> (tptp.hBOOL (tptp.hAPP_P71593144l_bool (tptp.hAPP_P1183008383l_bool Pa A_1) B_2)) (tptp.hBOOL (tptp.hAPP_P71593144l_bool (tptp.hAPP_P1183008383l_bool Pa Aa) Ba))))))) (tptp.hBOOL (tptp.hAPP_P71593144l_bool (tptp.hAPP_P1183008383l_bool Pa Bx) By)))))) (forall ((Pa $$unsorted) (Ax $$unsorted) (Ay $$unsorted) (Bx $$unsorted) (By $$unsorted) (R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2129782055l_bool (tptp.hAPP_P124661l_bool tptp.member837208074al_val (tptp.hAPP_P47773639al_val (tptp.hAPP_P1874979071al_val tptp.produc1244920211al_val (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val Ax) Ay)) (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val Bx) By))) (tptp.transi1423755450al_val R_1))) (=> (tptp.hBOOL (tptp.hAPP_val_bool (tptp.hAPP_v1392248405l_bool Pa Ax) Ay)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val A_1) B_2))) (=> (tptp.hBOOL (tptp.hAPP_f2129782055l_bool (tptp.hAPP_P124661l_bool tptp.member837208074al_val (tptp.hAPP_P47773639al_val (tptp.hAPP_P1874979071al_val tptp.produc1244920211al_val (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val Ax) Ay)) _let_1)) (tptp.transi1423755450al_val R_1))) (=> (tptp.hBOOL (tptp.hAPP_f2129782055l_bool (tptp.hAPP_P124661l_bool tptp.member837208074al_val (tptp.hAPP_P47773639al_val (tptp.hAPP_P1874979071al_val tptp.produc1244920211al_val _let_1) (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val Aa) Ba))) R_1)) (=> (tptp.hBOOL (tptp.hAPP_val_bool (tptp.hAPP_v1392248405l_bool Pa A_1) B_2)) (tptp.hBOOL (tptp.hAPP_val_bool (tptp.hAPP_v1392248405l_bool Pa Aa) Ba))))))) (tptp.hBOOL (tptp.hAPP_val_bool (tptp.hAPP_v1392248405l_bool Pa Bx) By)))))) (forall ((Pa $$unsorted) (Ax $$unsorted) (Ay $$unsorted) (Bx $$unsorted) (By $$unsorted) (R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f126136681l_bool (tptp.hAPP_P982127993l_bool tptp.member1732271180al_val (tptp.hAPP_P2123720426al_val (tptp.hAPP_P1538518401al_val tptp.produc1924279125al_val (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val Ax) Ay)) (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val Bx) By))) (tptp.transi1906258203al_val R_1))) (=> (tptp.hBOOL (tptp.hAPP_P929938951l_bool (tptp.hAPP_b97269396l_bool Pa Ax) Ay)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val A_1) B_2))) (=> (and (tptp.is_bop A_1) (tptp.is_bop Aa)) (=> (tptp.hBOOL (tptp.hAPP_f126136681l_bool (tptp.hAPP_P982127993l_bool tptp.member1732271180al_val (tptp.hAPP_P2123720426al_val (tptp.hAPP_P1538518401al_val tptp.produc1924279125al_val (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val Ax) Ay)) _let_1)) (tptp.transi1906258203al_val R_1))) (=> (tptp.hBOOL (tptp.hAPP_f126136681l_bool (tptp.hAPP_P982127993l_bool tptp.member1732271180al_val (tptp.hAPP_P2123720426al_val (tptp.hAPP_P1538518401al_val tptp.produc1924279125al_val _let_1) (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val Aa) Ba))) R_1)) (=> (tptp.hBOOL (tptp.hAPP_P929938951l_bool (tptp.hAPP_b97269396l_bool Pa A_1) B_2)) (tptp.hBOOL (tptp.hAPP_P929938951l_bool (tptp.hAPP_b97269396l_bool Pa Aa) Ba)))))))) (tptp.hBOOL (tptp.hAPP_P929938951l_bool (tptp.hAPP_b97269396l_bool Pa Bx) By)))))) (forall ((Pa $$unsorted) (Ax $$unsorted) (Ay $$unsorted) (Bx $$unsorted) (By $$unsorted) (R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f851858423l_bool (tptp.hAPP_P786771093l_bool tptp.member794220506t_char (tptp.hAPP_P1657265855t_char (tptp.hAPP_P1071727823t_char tptp.produc2080520419t_char (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char Ax) Ay)) (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char Bx) By))) (tptp.transi1095029602t_char R_1))) (=> (tptp.hBOOL (tptp.hAPP_list_char_bool (tptp.hAPP_l1361600383r_bool Pa Ax) Ay)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char A_1) B_2))) (=> (tptp.hBOOL (tptp.hAPP_f851858423l_bool (tptp.hAPP_P786771093l_bool tptp.member794220506t_char (tptp.hAPP_P1657265855t_char (tptp.hAPP_P1071727823t_char tptp.produc2080520419t_char (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char Ax) Ay)) _let_1)) (tptp.transi1095029602t_char R_1))) (=> (tptp.hBOOL (tptp.hAPP_f851858423l_bool (tptp.hAPP_P786771093l_bool tptp.member794220506t_char (tptp.hAPP_P1657265855t_char (tptp.hAPP_P1071727823t_char tptp.produc2080520419t_char _let_1) (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char Aa) Ba))) R_1)) (=> (tptp.hBOOL (tptp.hAPP_list_char_bool (tptp.hAPP_l1361600383r_bool Pa A_1) B_2)) (tptp.hBOOL (tptp.hAPP_list_char_bool (tptp.hAPP_l1361600383r_bool Pa Aa) Ba))))))) (tptp.hBOOL (tptp.hAPP_list_char_bool (tptp.hAPP_l1361600383r_bool Pa Bx) By)))))) (forall ((Pa $$unsorted) (Ax $$unsorted) (Ay $$unsorted) (Bx $$unsorted) (By $$unsorted) (R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f665343921l_bool (tptp.hAPP_P502294281l_bool tptp.member1322055188on_val (tptp.hAPP_P330218428on_val (tptp.hAPP_P1875010047on_val tptp.produc499151895on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val Ax) Ay)) (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val Bx) By))) (tptp.transi61620055on_val R_1))) (=> (tptp.hBOOL (tptp.hAPP_f1715346603l_bool (tptp.hAPP_l465799708l_bool Pa Ax) Ay)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val A_1) B_2))) (=> (tptp.hBOOL (tptp.hAPP_f665343921l_bool (tptp.hAPP_P502294281l_bool tptp.member1322055188on_val (tptp.hAPP_P330218428on_val (tptp.hAPP_P1875010047on_val tptp.produc499151895on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val Ax) Ay)) _let_1)) (tptp.transi61620055on_val R_1))) (=> (tptp.hBOOL (tptp.hAPP_f665343921l_bool (tptp.hAPP_P502294281l_bool tptp.member1322055188on_val (tptp.hAPP_P330218428on_val (tptp.hAPP_P1875010047on_val tptp.produc499151895on_val _let_1) (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val Aa) Ba))) R_1)) (=> (tptp.hBOOL (tptp.hAPP_f1715346603l_bool (tptp.hAPP_l465799708l_bool Pa A_1) B_2)) (tptp.hBOOL (tptp.hAPP_f1715346603l_bool (tptp.hAPP_l465799708l_bool Pa Aa) Ba))))))) (tptp.hBOOL (tptp.hAPP_f1715346603l_bool (tptp.hAPP_l465799708l_bool Pa Bx) By)))))) (forall ((Pa $$unsorted) (Ax $$unsorted) (Ay $$unsorted) (Bx $$unsorted) (By $$unsorted) (R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1297673713l_bool (tptp.hAPP_P240409993l_bool tptp.member563141460on_val (tptp.hAPP_P291613419on_val (tptp.hAPP_P265246237on_val tptp.produc870913623on_val (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Ax) Ay)) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Bx) By))) (tptp.transi921647814on_val R_1))) (=> (tptp.hBOOL (tptp.hAPP_f1033709212l_bool (tptp.hAPP_f1175813647l_bool Pa Ax) Ay)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val A_1) B_2))) (=> (tptp.hBOOL (tptp.hAPP_f1297673713l_bool (tptp.hAPP_P240409993l_bool tptp.member563141460on_val (tptp.hAPP_P291613419on_val (tptp.hAPP_P265246237on_val tptp.produc870913623on_val (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Ax) Ay)) _let_1)) (tptp.transi921647814on_val R_1))) (=> (tptp.hBOOL (tptp.hAPP_f1297673713l_bool (tptp.hAPP_P240409993l_bool tptp.member563141460on_val (tptp.hAPP_P291613419on_val (tptp.hAPP_P265246237on_val tptp.produc870913623on_val _let_1) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Aa) Ba))) R_1)) (=> (tptp.hBOOL (tptp.hAPP_f1033709212l_bool (tptp.hAPP_f1175813647l_bool Pa A_1) B_2)) (tptp.hBOOL (tptp.hAPP_f1033709212l_bool (tptp.hAPP_f1175813647l_bool Pa Aa) Ba))))))) (tptp.hBOOL (tptp.hAPP_f1033709212l_bool (tptp.hAPP_f1175813647l_bool Pa Bx) By)))))) (forall ((Pa $$unsorted) (Ax $$unsorted) (Ay $$unsorted) (Bx $$unsorted) (By $$unsorted) (R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1261741735l_bool (tptp.hAPP_P1362631157l_bool tptp.member808015754on_val (tptp.hAPP_P1486793863on_val (tptp.hAPP_P2077211775on_val tptp.produc1564932627on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val Ax) Ay)) (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val Bx) By))) (tptp.transi910771962on_val R_1))) (=> (tptp.hBOOL (tptp.hAPP_P1708370145l_bool (tptp.hAPP_P1116729363l_bool Pa Ax) Ay)) (=> (forall ((A_1 $$unsorted) (B_2 $$unsorted) (Aa $$unsorted) (Ba $$unsorted)) (let ((_let_1 (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A_1) B_2))) (=> (tptp.hBOOL (tptp.hAPP_f1261741735l_bool (tptp.hAPP_P1362631157l_bool tptp.member808015754on_val (tptp.hAPP_P1486793863on_val (tptp.hAPP_P2077211775on_val tptp.produc1564932627on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val Ax) Ay)) _let_1)) (tptp.transi910771962on_val R_1))) (=> (tptp.hBOOL (tptp.hAPP_f1261741735l_bool (tptp.hAPP_P1362631157l_bool tptp.member808015754on_val (tptp.hAPP_P1486793863on_val (tptp.hAPP_P2077211775on_val tptp.produc1564932627on_val _let_1) (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val Aa) Ba))) R_1)) (=> (tptp.hBOOL (tptp.hAPP_P1708370145l_bool (tptp.hAPP_P1116729363l_bool Pa A_1) B_2)) (tptp.hBOOL (tptp.hAPP_P1708370145l_bool (tptp.hAPP_P1116729363l_bool Pa Aa) Ba))))))) (tptp.hBOOL (tptp.hAPP_P1708370145l_bool (tptp.hAPP_P1116729363l_bool Pa Bx) By)))))) (forall ((Lb $$unsorted) (Ea $$unsorted) (Eb $$unsorted) (Ta $$unsorted) (Hb $$unsorted) (Pa $$unsorted)) (=> (tptp.hBOOL (tptp.wf_pro755087577t_char tptp.wwf_J_mdecl Pa)) (=> (tptp.hBOOL (tptp.hAPP_f61040418l_bool (tptp.hconf_97414254t_char Pa) Hb)) (=> (tptp.hBOOL (tptp.wTrt_1 Pa Hb Ea Eb Ta)) (=> (tptp.hBOOL (tptp.d_list_char Eb (tptp.hAPP_f363827556r_bool tptp.some_f80346385r_bool (tptp.dom_list_char_val Lb)))) (=> (not (tptp.hBOOL (tptp.final_list_char Eb))) (exists ((E_1 $$unsorted) (S_5 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb) Lb))) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_1) S_5))) (tptp.red Pa)))))))))) (forall ((Y_3 $$unsorted)) (=> (not (= Y_3 tptp.none_nat)) (not (forall ((A_1 $$unsorted)) (not (= Y_3 (tptp.hAPP_nat_option_nat tptp.some_nat A_1))))))) (forall ((Y_3 $$unsorted)) (=> (not (= Y_3 tptp.none_ty)) (not (forall ((A_1 $$unsorted)) (not (= Y_3 (tptp.hAPP_ty_option_ty tptp.some_ty A_1))))))) (forall ((Y_2 $$unsorted)) (=> (not (= Y_2 tptp.none_P179726773on_val)) (not (forall ((A_1 $$unsorted)) (not (= Y_2 (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val A_1))))))) (forall ((Y_3 $$unsorted)) (=> (not (= Y_3 tptp.none_val)) (not (forall ((A_1 $$unsorted)) (not (= Y_3 (tptp.hAPP_val_option_val tptp.some_val A_1))))))) (forall ((Y_2 $$unsorted)) (=> (not (= Y_2 tptp.none_f478147469r_bool)) (not (forall ((A_1 $$unsorted)) (not (= Y_2 (tptp.hAPP_f363827556r_bool tptp.some_f80346385r_bool A_1))))))) (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f986089162l_bool (tptp.ord_le2092826700r_bool X_2) X_2))) (forall ((Pa $$unsorted) (A $$unsorted) (B $$unsorted) (R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.hAPP_P126004409l_bool tptp.member875476972on_val (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val A) B)) (tptp.transi374442731on_val R_1))) (=> (tptp.hBOOL (tptp.hAPP_P71593144l_bool Pa A)) (=> (forall ((Y_1 $$unsorted) (Z $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.hAPP_P126004409l_bool tptp.member875476972on_val (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val A) Y_1)) (tptp.transi374442731on_val R_1))) (=> (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.hAPP_P126004409l_bool tptp.member875476972on_val (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val Y_1) Z)) R_1)) (=> (tptp.hBOOL (tptp.hAPP_P71593144l_bool Pa Y_1)) (tptp.hBOOL (tptp.hAPP_P71593144l_bool Pa Z)))))) (tptp.hBOOL (tptp.hAPP_P71593144l_bool Pa B)))))) (forall ((Pa $$unsorted) (A $$unsorted) (B $$unsorted) (R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2106398425l_bool (tptp.hAPP_P1180869721l_bool tptp.member1251428284t_char (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char A) B)) (tptp.transi1395422419t_char R_1))) (=> (tptp.hBOOL (tptp.hAPP_list_char_bool Pa A)) (=> (forall ((Y_1 $$unsorted) (Z $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2106398425l_bool (tptp.hAPP_P1180869721l_bool tptp.member1251428284t_char (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char A) Y_1)) (tptp.transi1395422419t_char R_1))) (=> (tptp.hBOOL (tptp.hAPP_f2106398425l_bool (tptp.hAPP_P1180869721l_bool tptp.member1251428284t_char (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char Y_1) Z)) R_1)) (=> (tptp.hBOOL (tptp.hAPP_list_char_bool Pa Y_1)) (tptp.hBOOL (tptp.hAPP_list_char_bool Pa Z)))))) (tptp.hBOOL (tptp.hAPP_list_char_bool Pa B)))))) (forall ((Pa $$unsorted) (A $$unsorted) (B $$unsorted) (R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A) B)) (tptp.transi2024712006on_val R_1))) (=> (tptp.hBOOL (tptp.hAPP_P1708370145l_bool Pa A)) (=> (forall ((Y_1 $$unsorted) (Z $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A) Y_1)) (tptp.transi2024712006on_val R_1))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val Y_1) Z)) R_1)) (=> (tptp.hBOOL (tptp.hAPP_P1708370145l_bool Pa Y_1)) (tptp.hBOOL (tptp.hAPP_P1708370145l_bool Pa Z)))))) (tptp.hBOOL (tptp.hAPP_P1708370145l_bool Pa B)))))) (forall ((Pa $$unsorted) (A $$unsorted) (B $$unsorted) (R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028441009l_bool (tptp.hAPP_P530382601l_bool tptp.member649088532al_val (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val A) B)) (tptp.transi935034983cl_val R_1))) (=> (tptp.hBOOL (tptp.hAPP_val_bool Pa A)) (=> (forall ((Y_1 $$unsorted) (Z $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028441009l_bool (tptp.hAPP_P530382601l_bool tptp.member649088532al_val (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val A) Y_1)) (tptp.transi935034983cl_val R_1))) (=> (tptp.hBOOL (tptp.hAPP_f2028441009l_bool (tptp.hAPP_P530382601l_bool tptp.member649088532al_val (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val Y_1) Z)) R_1)) (=> (tptp.hBOOL (tptp.hAPP_val_bool Pa Y_1)) (tptp.hBOOL (tptp.hAPP_val_bool Pa Z)))))) (tptp.hBOOL (tptp.hAPP_val_bool Pa B)))))) (forall ((R_2 $$unsorted) (S_4 $$unsorted)) (let ((_let_1 (tptp.hAPP_f521496323r_bool tptp.cOMBC_654453230r_bool (tptp.hAPP_f732843907r_bool (tptp.hAPP_f1563448447r_bool tptp.cOMBB_1490692730t_char tptp.cOMBC_390659185l_bool) (tptp.hAPP_f1868463117l_bool (tptp.hAPP_f1365840271l_bool tptp.cOMBB_1705938036t_char (tptp.hAPP_f1937828171l_bool tptp.cOMBB_1681501894t_char tptp.member1601084734t_char)) tptp.produc1331140167t_char))))) (= (tptp.hBOOL (tptp.hAPP_f1931964053l_bool (tptp.ord_le2008677227r_bool (tptp.hAPP_f1209019955r_bool _let_1 R_2)) (tptp.hAPP_f1209019955r_bool _let_1 S_4))) (tptp.hBOOL (tptp.hAPP_f483496539l_bool (tptp.ord_le1987888477r_bool R_2) S_4))))) (forall ((R_2 $$unsorted) (S_4 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1500560577r_bool tptp.cOMBC_1784597444r_bool (tptp.hAPP_f29105311r_bool (tptp.hAPP_f953097879r_bool tptp.cOMBB_672864638t_char tptp.cOMBC_1338332465l_bool) (tptp.hAPP_f333583909l_bool (tptp.hAPP_f1407048615l_bool tptp.cOMBB_741416308t_char (tptp.hAPP_f937861397l_bool tptp.cOMBB_1520154591t_char tptp.member1467889965t_char)) tptp.produc822965838t_char))))) (= (tptp.hBOOL (tptp.hAPP_f1795246582l_bool (tptp.ord_le735260024r_bool (tptp.hAPP_f2025561243r_bool _let_1 R_2)) (tptp.hAPP_f2025561243r_bool _let_1 S_4))) (tptp.hBOOL (tptp.hAPP_f515912112l_bool (tptp.ord_le117566470r_bool R_2) S_4))))) (forall ((R_2 $$unsorted) (S_4 $$unsorted)) (let ((_let_1 (tptp.hAPP_f2052909183l_bool tptp.cOMBC_766524526l_bool (tptp.hAPP_f1427871743l_bool (tptp.hAPP_f32926423l_bool tptp.cOMBB_779086262on_val tptp.cOMBC_1491642377l_bool) (tptp.hAPP_f1082373989l_bool (tptp.hAPP_f869803751l_bool tptp.cOMBB_555068556on_val (tptp.hAPP_f810261999l_bool tptp.cOMBB_1034324152on_val tptp.member875476972on_val)) tptp.produc1611380469on_val))))) (= (tptp.hBOOL (tptp.hAPP_f861853459l_bool (tptp.ord_le1270183657l_bool (tptp.hAPP_f447422815l_bool _let_1 R_2)) (tptp.hAPP_f447422815l_bool _let_1 S_4))) (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.ord_le1438917387l_bool R_2) S_4))))) (forall ((R_2 $$unsorted) (S_4 $$unsorted)) (let ((_let_1 (tptp.hAPP_f447563647r_bool tptp.cOMBC_389248878r_bool (tptp.hAPP_f1032444159r_bool (tptp.hAPP_f254182519r_bool tptp.cOMBB_1551681790t_char tptp.cOMBC_1603044337l_bool) (tptp.hAPP_f1764180741l_bool (tptp.hAPP_f247798919l_bool tptp.cOMBB_526805108t_char (tptp.hAPP_f144783951l_bool tptp.cOMBB_1586673472t_char tptp.member1251428284t_char)) tptp.produc5062597t_char))))) (= (tptp.hBOOL (tptp.hAPP_f1776419603l_bool (tptp.ord_le1871967977r_bool (tptp.hAPP_f344506159r_bool _let_1 R_2)) (tptp.hAPP_f344506159r_bool _let_1 S_4))) (tptp.hBOOL (tptp.hAPP_f2106398425l_bool (tptp.ord_le640323803r_bool R_2) S_4))))) (forall ((R_2 $$unsorted) (S_4 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1089788553l_bool tptp.cOMBC_967917532l_bool (tptp.hAPP_f2095325577l_bool (tptp.hAPP_f1135930489l_bool tptp.cOMBB_1223415373on_val tptp.cOMBC_1608987946l_bool) (tptp.hAPP_f1204100177l_bool (tptp.hAPP_f2026692601l_bool tptp.cOMBB_1977588741on_val (tptp.hAPP_f1510763001l_bool tptp.cOMBB_565412073on_val tptp.member773094996on_val)) tptp.produc1441475159on_val))))) (= (tptp.hBOOL (tptp.hAPP_f434955681l_bool (tptp.ord_le1050317687l_bool (tptp.hAPP_f1200025813l_bool _let_1 R_2)) (tptp.hAPP_f1200025813l_bool _let_1 S_4))) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.ord_le1776148979l_bool R_2) S_4))))) (forall ((R_2 $$unsorted) (S_4 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1820115955r_bool tptp.cOMBC_790582442r_bool (tptp.hAPP_f2059406941r_bool (tptp.hAPP_f108089737r_bool tptp.cOMBB_2143526097t_char tptp.cOMBC_220519196l_bool) (tptp.hAPP_f165071409l_bool (tptp.hAPP_f1174637065l_bool tptp.cOMBB_33167485t_char (tptp.hAPP_f380623487l_bool tptp.cOMBB_1033145403t_char tptp.member1840112042t_char)) tptp.produc1147572817t_char))))) (= (tptp.hBOOL (tptp.hAPP_f539072365l_bool (tptp.ord_le176694639r_bool (tptp.hAPP_f2091926485r_bool _let_1 R_2)) (tptp.hAPP_f2091926485r_bool _let_1 S_4))) (tptp.hBOOL (tptp.hAPP_f82569901l_bool (tptp.ord_le715555971r_bool R_2) S_4))))) (forall ((R_2 $$unsorted) (S_4 $$unsorted)) (let ((_let_1 (tptp.hAPP_f197435839r_bool tptp.cOMBC_886773442r_bool (tptp.hAPP_f1749915625r_bool (tptp.hAPP_f842743203r_bool tptp.cOMBB_657296617har_ty tptp.cOMBC_1407716098l_bool) (tptp.hAPP_f935003377l_bool (tptp.hAPP_f162154931l_bool tptp.cOMBB_859890145har_ty (tptp.hAPP_f1847120981l_bool tptp.cOMBB_1035649854t_char tptp.member1379348767t_char)) tptp.produc1152259904t_char))))) (= (tptp.hBOOL (tptp.hAPP_f1409772418l_bool (tptp.ord_le458107652r_bool (tptp.hAPP_f306469557r_bool _let_1 R_2)) (tptp.hAPP_f306469557r_bool _let_1 S_4))) (tptp.hBOOL (tptp.hAPP_f1161798306l_bool (tptp.ord_le1734858744r_bool R_2) S_4))))) (forall ((R_2 $$unsorted) (S_4 $$unsorted)) (let ((_let_1 (tptp.hAPP_f2133563379r_bool tptp.cOMBC_1025440566r_bool (tptp.hAPP_f1957374161r_bool (tptp.hAPP_f304993943r_bool tptp.cOMBB_847828016t_char tptp.cOMBC_516637475l_bool) (tptp.hAPP_f1817350437l_bool (tptp.hAPP_f614662951l_bool tptp.cOMBB_1558246132t_char (tptp.hAPP_f251669717l_bool tptp.cOMBB_773661144t_char tptp.member1771544038t_char)) tptp.produc1483578759t_char))))) (= (tptp.hBOOL (tptp.hAPP_f1520735791l_bool (tptp.ord_le1151384881r_bool (tptp.hAPP_f719350875r_bool _let_1 R_2)) (tptp.hAPP_f719350875r_bool _let_1 S_4))) (tptp.hBOOL (tptp.hAPP_f2050077417l_bool (tptp.ord_le725666495r_bool R_2) S_4))))) (forall ((R_2 $$unsorted) (S_4 $$unsorted)) (let ((_let_1 (tptp.hAPP_f987862447r_bool tptp.cOMBC_1387630958r_bool (tptp.hAPP_f1449341487r_bool (tptp.hAPP_f1823921107r_bool tptp.cOMBB_308691073st_val tptp.cOMBC_818212448l_bool) (tptp.hAPP_f2118054305l_bool (tptp.hAPP_f1687138147l_bool tptp.cOMBB_2078271971st_val (tptp.hAPP_f1612138403l_bool tptp.cOMBB_961360819t_char tptp.member699351154t_char)) tptp.produc1916172923t_char))))) (= (tptp.hBOOL (tptp.hAPP_f1118567467l_bool (tptp.ord_le989574145r_bool (tptp.hAPP_f1051205629r_bool _let_1 R_2)) (tptp.hAPP_f1051205629r_bool _let_1 S_4))) (tptp.hBOOL (tptp.hAPP_f1314764175l_bool (tptp.ord_le1852058257r_bool R_2) S_4))))) (forall ((R_2 $$unsorted) (S_4 $$unsorted)) (let ((_let_1 (tptp.hAPP_f133320957r_bool tptp.cOMBC_1127703214r_bool (tptp.hAPP_f1608277885r_bool (tptp.hAPP_f1134248971r_bool tptp.cOMBB_338473166ist_ty tptp.cOMBC_1365742487l_bool) (tptp.hAPP_f2047757465l_bool (tptp.hAPP_f466945179l_bool tptp.cOMBB_68065882ist_ty (tptp.hAPP_f693085049l_bool tptp.cOMBB_147773915t_char tptp.member140606439t_char)) tptp.produc1909267824t_char))))) (= (tptp.hBOOL (tptp.hAPP_f1889282162l_bool (tptp.ord_le1449176264r_bool (tptp.hAPP_f2071340985r_bool _let_1 R_2)) (tptp.hAPP_f2071340985r_bool _let_1 S_4))) (tptp.hBOOL (tptp.hAPP_f1746574980l_bool (tptp.ord_le1218729222r_bool R_2) S_4))))) (forall ((R_2 $$unsorted) (S_4 $$unsorted)) (let ((_let_1 (tptp.hAPP_f308875635r_bool tptp.cOMBC_1718404842r_bool (tptp.hAPP_f531187933r_bool (tptp.hAPP_f179418505r_bool tptp.cOMBB_550632017t_char tptp.cOMBC_407285762l_bool) (tptp.hAPP_f1136362289l_bool (tptp.hAPP_f1736484361l_bool tptp.cOMBB_2042763133t_char (tptp.hAPP_f1715733055l_bool tptp.cOMBB_123628846t_char tptp.member133545693t_char)) tptp.produc921874948t_char))))) (= (tptp.hBOOL (tptp.hAPP_f998390560l_bool (tptp.ord_le817953186r_bool (tptp.hAPP_f1044627221r_bool _let_1 R_2)) (tptp.hAPP_f1044627221r_bool _let_1 S_4))) (tptp.hBOOL (tptp.hAPP_f1780084320l_bool (tptp.ord_le1579844278r_bool R_2) S_4))))) (forall ((R_2 $$unsorted) (S_4 $$unsorted)) (let ((_let_1 (tptp.hAPP_f348508809l_bool tptp.cOMBC_622308798l_bool (tptp.hAPP_f1149562121l_bool (tptp.hAPP_f1850037271l_bool tptp.cOMBB_773375802t_char tptp.cOMBC_2141828763l_bool) (tptp.hAPP_f1752856401l_bool (tptp.hAPP_f552300311l_bool tptp.cOMBB_1270208498t_char (tptp.hAPP_f1564338425l_bool tptp.cOMBB_1078680455on_val tptp.member1972431429on_val)) tptp.produc379668296on_val))))) (= (tptp.hBOOL (tptp.hAPP_f2041029616l_bool (tptp.ord_le285175110l_bool (tptp.hAPP_f844901525l_bool _let_1 R_2)) (tptp.hAPP_f844901525l_bool _let_1 S_4))) (tptp.hBOOL (tptp.hAPP_f837795298l_bool (tptp.ord_le1461833060l_bool R_2) S_4))))) (forall ((R_2 $$unsorted) (S_4 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1880802701l_bool tptp.cOMBC_1979963740l_bool (tptp.hAPP_f1859053709l_bool (tptp.hAPP_f400269243l_bool tptp.cOMBB_1701031980ol_val tptp.cOMBC_331963401l_bool) (tptp.hAPP_f293485653l_bool (tptp.hAPP_f565735867l_bool tptp.cOMBB_815843940ol_val (tptp.hAPP_f183649339l_bool tptp.cOMBB_2078984970ol_val tptp.member649088532al_val)) tptp.product_Pair_val_val))))) (= (tptp.hBOOL (tptp.hAPP_f2071159779l_bool (tptp.ord_le408082617l_bool (tptp.hAPP_f198821591l_bool _let_1 R_2)) (tptp.hAPP_f198821591l_bool _let_1 S_4))) (tptp.hBOOL (tptp.hAPP_f2028441009l_bool (tptp.ord_le310098611l_bool R_2) S_4))))) (forall ((R_2 $$unsorted) (S_4 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1100052969l_bool tptp.cOMBC_199425070l_bool (tptp.hAPP_f2100207721l_bool (tptp.hAPP_f1374595987l_bool tptp.cOMBB_761748254ol_bop tptp.cOMBC_813705475l_bool) (tptp.hAPP_f866074145l_bool (tptp.hAPP_f877616419l_bool tptp.cOMBB_1458388806ol_bop (tptp.hAPP_f62511709l_bool tptp.cOMBB_2139740953al_val tptp.member1417904245al_val)) tptp.produc621191550al_val))))) (= (tptp.hBOOL (tptp.hAPP_f1776070952l_bool (tptp.ord_le1725884030l_bool (tptp.hAPP_f257113085l_bool _let_1 R_2)) (tptp.hAPP_f257113085l_bool _let_1 S_4))) (tptp.hBOOL (tptp.hAPP_f742333458l_bool (tptp.ord_le1467847572l_bool R_2) S_4))))) (forall ((R_2 $$unsorted) (S_4 $$unsorted)) (let ((_let_1 (tptp.hAPP_f350189921l_bool tptp.cOMBC_1535683812l_bool (tptp.hAPP_f1094343359l_bool (tptp.hAPP_f876671127l_bool tptp.cOMBB_1200577438t_char tptp.cOMBC_317789649l_bool) (tptp.hAPP_f1370205989l_bool (tptp.hAPP_f1406462375l_bool tptp.cOMBB_109816436t_char (tptp.hAPP_f919000597l_bool tptp.cOMBB_1153773871on_val tptp.member1542417277on_val)) tptp.produc823076510on_val))))) (= (tptp.hBOOL (tptp.hAPP_f678833350l_bool (tptp.ord_le188521288l_bool (tptp.hAPP_f2080627739l_bool _let_1 R_2)) (tptp.hAPP_f2080627739l_bool _let_1 S_4))) (tptp.hBOOL (tptp.hAPP_f1134950784l_bool (tptp.ord_le1744419030l_bool R_2) S_4))))) (forall ((R_2 $$unsorted) (S_4 $$unsorted)) (let ((_let_1 (tptp.hAPP_f77033475l_bool tptp.cOMBC_1317565126l_bool (tptp.hAPP_f1250221913l_bool (tptp.hAPP_f1860331535l_bool tptp.cOMBB_2084052674on_val tptp.cOMBC_1518234801l_bool) (tptp.hAPP_f1670595613l_bool (tptp.hAPP_f1472899487l_bool tptp.cOMBB_588525814on_val (tptp.hAPP_f1168269397l_bool tptp.cOMBB_1293776864on_val tptp.member763590124on_val)) tptp.produc899768717on_val))))) (= (tptp.hBOOL (tptp.hAPP_f1450446905l_bool (tptp.ord_le125655867l_bool (tptp.hAPP_f47713631l_bool _let_1 R_2)) (tptp.hAPP_f47713631l_bool _let_1 S_4))) (tptp.hBOOL (tptp.hAPP_f966411375l_bool (tptp.ord_le1908998213l_bool R_2) S_4))))) (forall ((R_2 $$unsorted) (S_4 $$unsorted)) (let ((_let_1 (tptp.hAPP_f40682957l_bool tptp.cOMBC_562612496l_bool (tptp.hAPP_f1475571983l_bool (tptp.hAPP_f1946480059l_bool tptp.cOMBB_673739729t_char tptp.cOMBC_1585774710l_bool) (tptp.hAPP_f1614195593l_bool (tptp.hAPP_f705562443l_bool tptp.cOMBB_507006011t_char (tptp.hAPP_f1639555093l_bool tptp.cOMBB_985659173on_val tptp.member840932460on_val)) tptp.produc1259058957on_val))))) (= (tptp.hBOOL (tptp.hAPP_f570766339l_bool (tptp.ord_le1080391173l_bool (tptp.hAPP_f989077673l_bool _let_1 R_2)) (tptp.hAPP_f989077673l_bool _let_1 S_4))) (tptp.hBOOL (tptp.hAPP_f91506671l_bool (tptp.ord_le1668954565l_bool R_2) S_4))))) (forall ((Z_1 $$unsorted) (Y_2 $$unsorted) (X_2 $$unsorted)) (let ((_let_1 (tptp.ord_le2092826700r_bool Z_1))) (=> (tptp.hBOOL (tptp.hAPP_f986089162l_bool (tptp.ord_le2092826700r_bool Y_2) X_2)) (=> (tptp.hBOOL (tptp.hAPP_f986089162l_bool _let_1 Y_2)) (tptp.hBOOL (tptp.hAPP_f986089162l_bool _let_1 X_2)))))) (forall ((Y_2 $$unsorted) (X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f986089162l_bool (tptp.ord_le2092826700r_bool Y_2) X_2)) (=> (tptp.hBOOL (tptp.hAPP_f986089162l_bool (tptp.ord_le2092826700r_bool X_2) Y_2)) (= X_2 Y_2)))) (forall ((Z_1 $$unsorted) (X_2 $$unsorted) (Y_2 $$unsorted)) (let ((_let_1 (tptp.ord_le2092826700r_bool X_2))) (=> (tptp.hBOOL (tptp.hAPP_f986089162l_bool _let_1 Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f986089162l_bool (tptp.ord_le2092826700r_bool Y_2) Z_1)) (tptp.hBOOL (tptp.hAPP_f986089162l_bool _let_1 Z_1)))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f986089162l_bool (tptp.ord_le2092826700r_bool X_2) Y_2)) (=> (tptp.hBOOL (tptp.hAPP_f986089162l_bool (tptp.ord_le2092826700r_bool Y_2) X_2)) (= X_2 Y_2)))) (forall ((C_2 $$unsorted) (B $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f986089162l_bool (tptp.ord_le2092826700r_bool B) A)) (=> (= B C_2) (tptp.hBOOL (tptp.hAPP_f986089162l_bool (tptp.ord_le2092826700r_bool C_2) A))))) (forall ((C_2 $$unsorted) (A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.ord_le2092826700r_bool A))) (=> (tptp.hBOOL (tptp.hAPP_f986089162l_bool _let_1 B)) (=> (= B C_2) (tptp.hBOOL (tptp.hAPP_f986089162l_bool _let_1 C_2)))))) (forall ((C_2 $$unsorted) (A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.ord_le2092826700r_bool C_2))) (=> (= A B) (=> (tptp.hBOOL (tptp.hAPP_f986089162l_bool _let_1 B)) (tptp.hBOOL (tptp.hAPP_f986089162l_bool _let_1 A)))))) (forall ((C_2 $$unsorted) (A $$unsorted) (B $$unsorted)) (=> (= A B) (=> (tptp.hBOOL (tptp.hAPP_f986089162l_bool (tptp.ord_le2092826700r_bool B) C_2)) (tptp.hBOOL (tptp.hAPP_f986089162l_bool (tptp.ord_le2092826700r_bool A) C_2))))) (forall ((Y_2 $$unsorted) (X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f986089162l_bool (tptp.ord_le2092826700r_bool Y_2) X_2)) (= (tptp.hBOOL (tptp.hAPP_f986089162l_bool (tptp.ord_le2092826700r_bool X_2) Y_2)) (= X_2 Y_2)))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (= X_2 Y_2) (tptp.hBOOL (tptp.hAPP_f986089162l_bool (tptp.ord_le2092826700r_bool X_2) Y_2)))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (= (= X_2 Y_2) (and (tptp.hBOOL (tptp.hAPP_f986089162l_bool (tptp.ord_le2092826700r_bool X_2) Y_2)) (tptp.hBOOL (tptp.hAPP_f986089162l_bool (tptp.ord_le2092826700r_bool Y_2) X_2))))) (forall ((X_2 $$unsorted) (F_1 $$unsorted) (G $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f986089162l_bool (tptp.ord_le2092826700r_bool F_1) G)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.ord_less_eq_bool (tptp.hAPP_list_char_bool F_1 X_2)) (tptp.hAPP_list_char_bool G X_2))))) (forall ((X_2 $$unsorted) (F_1 $$unsorted) (G $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f986089162l_bool (tptp.ord_le2092826700r_bool F_1) G)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.ord_less_eq_bool (tptp.hAPP_list_char_bool F_1 X_2)) (tptp.hAPP_list_char_bool G X_2))))) (forall ((F_1 $$unsorted) (G $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f986089162l_bool (tptp.ord_le2092826700r_bool F_1) G)) (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.ord_less_eq_bool (tptp.hAPP_list_char_bool F_1 X_1)) (tptp.hAPP_list_char_bool G X_1)))))) (forall ((Pa $$unsorted)) (=> (tptp.hBOOL (tptp.wf_pro755087577t_char tptp.wf_J_mdecl Pa)) (tptp.hBOOL (tptp.wf_pro755087577t_char tptp.wwf_J_mdecl Pa)))) (forall ((P $$unsorted) (C_3 $$unsorted) (Md $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P1384137393r_bool (tptp.hAPP_l2054741776r_bool (tptp.hAPP_l2138409430r_bool tptp.wf_J_mdecl P) C_3) Md)) (tptp.hBOOL (tptp.hAPP_P1384137393r_bool (tptp.hAPP_l2054741776r_bool (tptp.hAPP_l2138409430r_bool tptp.wwf_J_mdecl P) C_3) Md)))) (forall ((Eb $$unsorted) (Hb $$unsorted) (Lb $$unsorted) (E_b $$unsorted) (H_b $$unsorted) (L_b $$unsorted) (Pa $$unsorted)) (=> (tptp.hBOOL (tptp.wf_pro755087577t_char tptp.wwf_J_mdecl Pa)) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb) Lb))) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_b) L_b)))) (tptp.red Pa))) (tptp.hBOOL (tptp.hAPP_f986089162l_bool (tptp.ord_le2092826700r_bool (tptp.fv E_b)) (tptp.fv Eb)))))) (forall ((A $$unsorted) (B $$unsorted) (R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.hAPP_P126004409l_bool tptp.member875476972on_val (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val A) B)) (tptp.transi374442731on_val R_1))) (=> (not (= A B)) (not (forall ((Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.hAPP_P126004409l_bool tptp.member875476972on_val (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val A) Y_1)) (tptp.transi374442731on_val R_1))) (not (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.hAPP_P126004409l_bool tptp.member875476972on_val (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val Y_1) B)) R_1))))))))) (forall ((A $$unsorted) (B $$unsorted) (R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2106398425l_bool (tptp.hAPP_P1180869721l_bool tptp.member1251428284t_char (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char A) B)) (tptp.transi1395422419t_char R_1))) (=> (not (= A B)) (not (forall ((Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2106398425l_bool (tptp.hAPP_P1180869721l_bool tptp.member1251428284t_char (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char A) Y_1)) (tptp.transi1395422419t_char R_1))) (not (tptp.hBOOL (tptp.hAPP_f2106398425l_bool (tptp.hAPP_P1180869721l_bool tptp.member1251428284t_char (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char Y_1) B)) R_1))))))))) (forall ((A $$unsorted) (B $$unsorted) (R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A) B)) (tptp.transi2024712006on_val R_1))) (=> (not (= A B)) (not (forall ((Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A) Y_1)) (tptp.transi2024712006on_val R_1))) (not (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val Y_1) B)) R_1))))))))) (forall ((A $$unsorted) (B $$unsorted) (R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028441009l_bool (tptp.hAPP_P530382601l_bool tptp.member649088532al_val (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val A) B)) (tptp.transi935034983cl_val R_1))) (=> (not (= A B)) (not (forall ((Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028441009l_bool (tptp.hAPP_P530382601l_bool tptp.member649088532al_val (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val A) Y_1)) (tptp.transi935034983cl_val R_1))) (not (tptp.hBOOL (tptp.hAPP_f2028441009l_bool (tptp.hAPP_P530382601l_bool tptp.member649088532al_val (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val Y_1) B)) R_1))))))))) (forall ((X_2 $$unsorted) (Z_1 $$unsorted) (R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.hAPP_P126004409l_bool tptp.member875476972on_val (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val X_2) Z_1)) (tptp.transi374442731on_val R_1))) (=> (not (= X_2 Z_1)) (not (forall ((Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.hAPP_P126004409l_bool tptp.member875476972on_val (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val X_2) Y_1)) R_1)) (not (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.hAPP_P126004409l_bool tptp.member875476972on_val (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val Y_1) Z_1)) (tptp.transi374442731on_val R_1)))))))))) (forall ((X_2 $$unsorted) (Z_1 $$unsorted) (R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2106398425l_bool (tptp.hAPP_P1180869721l_bool tptp.member1251428284t_char (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char X_2) Z_1)) (tptp.transi1395422419t_char R_1))) (=> (not (= X_2 Z_1)) (not (forall ((Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2106398425l_bool (tptp.hAPP_P1180869721l_bool tptp.member1251428284t_char (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char X_2) Y_1)) R_1)) (not (tptp.hBOOL (tptp.hAPP_f2106398425l_bool (tptp.hAPP_P1180869721l_bool tptp.member1251428284t_char (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char Y_1) Z_1)) (tptp.transi1395422419t_char R_1)))))))))) (forall ((X_2 $$unsorted) (Z_1 $$unsorted) (R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val X_2) Z_1)) (tptp.transi2024712006on_val R_1))) (=> (not (= X_2 Z_1)) (not (forall ((Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val X_2) Y_1)) R_1)) (not (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val Y_1) Z_1)) (tptp.transi2024712006on_val R_1)))))))))) (forall ((X_2 $$unsorted) (Z_1 $$unsorted) (R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028441009l_bool (tptp.hAPP_P530382601l_bool tptp.member649088532al_val (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val X_2) Z_1)) (tptp.transi935034983cl_val R_1))) (=> (not (= X_2 Z_1)) (not (forall ((Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028441009l_bool (tptp.hAPP_P530382601l_bool tptp.member649088532al_val (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val X_2) Y_1)) R_1)) (not (tptp.hBOOL (tptp.hAPP_f2028441009l_bool (tptp.hAPP_P530382601l_bool tptp.member649088532al_val (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val Y_1) Z_1)) (tptp.transi935034983cl_val R_1)))))))))) (forall ((Pa $$unsorted) (A $$unsorted) (B $$unsorted) (R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.hAPP_P126004409l_bool tptp.member875476972on_val (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val A) B)) (tptp.transi374442731on_val R_1))) (=> (tptp.hBOOL (tptp.hAPP_P71593144l_bool Pa B)) (=> (forall ((Y_1 $$unsorted) (Z $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.hAPP_P126004409l_bool tptp.member875476972on_val (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val Y_1) Z)) R_1)) (=> (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.hAPP_P126004409l_bool tptp.member875476972on_val (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val Z) B)) (tptp.transi374442731on_val R_1))) (=> (tptp.hBOOL (tptp.hAPP_P71593144l_bool Pa Z)) (tptp.hBOOL (tptp.hAPP_P71593144l_bool Pa Y_1)))))) (tptp.hBOOL (tptp.hAPP_P71593144l_bool Pa A)))))) (forall ((Pa $$unsorted) (A $$unsorted) (B $$unsorted) (R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2106398425l_bool (tptp.hAPP_P1180869721l_bool tptp.member1251428284t_char (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char A) B)) (tptp.transi1395422419t_char R_1))) (=> (tptp.hBOOL (tptp.hAPP_list_char_bool Pa B)) (=> (forall ((Y_1 $$unsorted) (Z $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2106398425l_bool (tptp.hAPP_P1180869721l_bool tptp.member1251428284t_char (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char Y_1) Z)) R_1)) (=> (tptp.hBOOL (tptp.hAPP_f2106398425l_bool (tptp.hAPP_P1180869721l_bool tptp.member1251428284t_char (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char Z) B)) (tptp.transi1395422419t_char R_1))) (=> (tptp.hBOOL (tptp.hAPP_list_char_bool Pa Z)) (tptp.hBOOL (tptp.hAPP_list_char_bool Pa Y_1)))))) (tptp.hBOOL (tptp.hAPP_list_char_bool Pa A)))))) (forall ((Pa $$unsorted) (A $$unsorted) (B $$unsorted) (R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A) B)) (tptp.transi2024712006on_val R_1))) (=> (tptp.hBOOL (tptp.hAPP_P1708370145l_bool Pa B)) (=> (forall ((Y_1 $$unsorted) (Z $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val Y_1) Z)) R_1)) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val Z) B)) (tptp.transi2024712006on_val R_1))) (=> (tptp.hBOOL (tptp.hAPP_P1708370145l_bool Pa Z)) (tptp.hBOOL (tptp.hAPP_P1708370145l_bool Pa Y_1)))))) (tptp.hBOOL (tptp.hAPP_P1708370145l_bool Pa A)))))) (forall ((Pa $$unsorted) (A $$unsorted) (B $$unsorted) (R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028441009l_bool (tptp.hAPP_P530382601l_bool tptp.member649088532al_val (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val A) B)) (tptp.transi935034983cl_val R_1))) (=> (tptp.hBOOL (tptp.hAPP_val_bool Pa B)) (=> (forall ((Y_1 $$unsorted) (Z $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f2028441009l_bool (tptp.hAPP_P530382601l_bool tptp.member649088532al_val (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val Y_1) Z)) R_1)) (=> (tptp.hBOOL (tptp.hAPP_f2028441009l_bool (tptp.hAPP_P530382601l_bool tptp.member649088532al_val (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val Z) B)) (tptp.transi935034983cl_val R_1))) (=> (tptp.hBOOL (tptp.hAPP_val_bool Pa Z)) (tptp.hBOOL (tptp.hAPP_val_bool Pa Y_1)))))) (tptp.hBOOL (tptp.hAPP_val_bool Pa A)))))) (forall ((F_1 $$unsorted) (G $$unsorted)) (=> (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.ord_less_eq_bool (tptp.hAPP_list_char_bool F_1 X_1)) (tptp.hAPP_list_char_bool G X_1)))) (tptp.hBOOL (tptp.hAPP_f986089162l_bool (tptp.ord_le2092826700r_bool F_1) G)))) (forall ((Eb $$unsorted) (S $$unsorted) (E_b $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (=> (tptp.hBOOL (tptp.wf_pro755087577t_char tptp.wwf_J_mdecl Pa)) (= (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb S) E_b) S_2)) (and (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) S_2))) (tptp.transi2024712006on_val (tptp.red Pa)))) (tptp.hBOOL (tptp.final_list_char E_b)))))) (forall ((Va_1 $$unsorted) (Pa $$unsorted) (Eb $$unsorted) (Hb $$unsorted) (Lb $$unsorted) (E_b $$unsorted) (H_b $$unsorted) (L_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb) Lb)) E_b) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_b) L_b))) (=> (not (tptp.hBOOL (tptp.hAPP_f986089162l_bool (tptp.hAPP_l1903254203l_bool tptp.member_list_char Va_1) (tptp.fv Eb)))) (= (tptp.hAPP_l207779698on_val L_b Va_1) (tptp.hAPP_l207779698on_val Lb Va_1))))) (forall ((E_b $$unsorted) (S_2 $$unsorted) (Eb $$unsorted) (S $$unsorted) (E_5 $$unsorted) (S_3 $$unsorted) (Pa $$unsorted)) (=> (tptp.hBOOL (tptp.wf_pro755087577t_char tptp.wwf_J_mdecl Pa)) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_5) S_3))) (tptp.red Pa))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa E_5 S_3) E_b) S_2)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb S) E_b) S_2)))))) (forall ((Eb $$unsorted) (S $$unsorted) (E_b $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (=> (tptp.hBOOL (tptp.wf_pro755087577t_char tptp.wwf_J_mdecl Pa)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb S) E_b) S_2)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) S_2))) (tptp.transi2024712006on_val (tptp.red Pa))))))) (forall ((E_b $$unsorted) (S_2 $$unsorted) (Eb $$unsorted) (S $$unsorted) (E_5 $$unsorted) (S_3 $$unsorted) (Pa $$unsorted)) (=> (tptp.hBOOL (tptp.wf_pro755087577t_char tptp.wwf_J_mdecl Pa)) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_5) S_3))) (tptp.transi2024712006on_val (tptp.red Pa)))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa E_5 S_3) E_b) S_2)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb S) E_b) S_2)))))) (forall ((Eb $$unsorted) (S $$unsorted) (E_b $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (=> (tptp.hBOOL (tptp.wf_pro755087577t_char tptp.wwf_J_mdecl Pa)) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) S_2))) (tptp.transi2024712006on_val (tptp.red Pa)))) (=> (tptp.hBOOL (tptp.final_list_char E_b)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb S) E_b) S_2)))))) (forall ((L_b $$unsorted) (Va_1 $$unsorted) (Pa $$unsorted) (Eb $$unsorted) (S_0 $$unsorted) (Va $$unsorted) (Hb $$unsorted) (Lb $$unsorted)) (let ((_let_1 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb S_0) (tptp.hAPP_v834067052t_char tptp.val_list_char Va)) (tptp.hAPP_f1727192346on_val _let_1 Lb))) (=> (= L_b (tptp.fun_up1149430426on_val Lb Va_1 (tptp.hAPP_val_option_val tptp.some_val Va))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.lAss_list_char Va_1 Eb) S_0) (tptp.hAPP_v834067052t_char tptp.val_list_char tptp.unit)) (tptp.hAPP_f1727192346on_val _let_1 L_b))))))) (forall ((Ta $$unsorted) (Pa $$unsorted) (E_0 $$unsorted) (H_0 $$unsorted) (L_0 $$unsorted) (Va_1 $$unsorted) (E_1_1 $$unsorted) (H_1 $$unsorted) (L_1_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_1))) (let ((_let_2 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_0))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa E_0 (tptp.hAPP_f1727192346on_val _let_2 (tptp.fun_up1149430426on_val L_0 Va_1 tptp.none_val))) E_1_1) (tptp.hAPP_f1727192346on_val _let_1 L_1_1))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.block_list_char Va_1 Ta E_0) (tptp.hAPP_f1727192346on_val _let_2 L_0)) E_1_1) (tptp.hAPP_f1727192346on_val _let_1 (tptp.fun_up1149430426on_val L_1_1 Va_1 (tptp.hAPP_l207779698on_val L_0 Va_1))))))))) (forall ((Pa $$unsorted) (Eb $$unsorted) (H_0 $$unsorted) (L_0 $$unsorted) (E_b $$unsorted) (H_1 $$unsorted) (L_1_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_0) L_0)) E_b) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_1) L_1_1))) (tptp.hBOOL (tptp.hAPP_f986089162l_bool (tptp.ord_le2092826700r_bool (tptp.dom_list_char_val L_0)) (tptp.dom_list_char_val L_1_1))))) (forall ((Pa $$unsorted) (Eb $$unsorted) (Hb $$unsorted) (Lb $$unsorted) (E_b $$unsorted) (H_b $$unsorted) (L_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb) Lb)) E_b) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_b) L_b))) (tptp.hBOOL (tptp.hext Hb H_b)))) (forall ((E_1_1 $$unsorted) (E_2 $$unsorted) (S_2_1 $$unsorted) (Pa $$unsorted) (E_0 $$unsorted) (S_0 $$unsorted) (Va $$unsorted) (S_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa E_0 S_0) (tptp.hAPP_v834067052t_char tptp.val_list_char Va)) S_1)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa E_1_1 S_1) E_2) S_2_1)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.seq_list_char E_0 E_1_1) S_0) E_2) S_2_1))))) (forall ((Eb $$unsorted) (Hb $$unsorted) (Lb $$unsorted) (E_b $$unsorted) (H_b $$unsorted) (L_b $$unsorted) (Pa $$unsorted)) (=> (tptp.hBOOL (tptp.wf_pro755087577t_char tptp.wwf_J_mdecl Pa)) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb) Lb))) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_b) L_b)))) (tptp.transi2024712006on_val (tptp.red Pa)))) (tptp.hBOOL (tptp.hAPP_f986089162l_bool (tptp.ord_le2092826700r_bool (tptp.dom_list_char_val L_b)) (tptp.semila919158006r_bool (tptp.dom_list_char_val Lb) (tptp.fv Eb))))))) (forall ((C_2 $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_P7095645l_bool tptp.member1601084734t_char C_2))) (=> (tptp.hBOOL (tptp.hAPP_f483496539l_bool _let_1 (tptp.semila1731249415r_bool A_2 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f483496539l_bool _let_1 A_2))) (tptp.hBOOL (tptp.hAPP_f483496539l_bool _let_1 B_1)))))) (forall ((C_2 $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_P205570445l_bool tptp.member1467889965t_char C_2))) (=> (tptp.hBOOL (tptp.hAPP_f515912112l_bool _let_1 (tptp.semila1346223580r_bool A_2 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f515912112l_bool _let_1 A_2))) (tptp.hBOOL (tptp.hAPP_f515912112l_bool _let_1 B_1)))))) (forall ((C_2 $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_P126004409l_bool tptp.member875476972on_val C_2))) (=> (tptp.hBOOL (tptp.hAPP_f458849545l_bool _let_1 (tptp.semila449273525l_bool A_2 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f458849545l_bool _let_1 A_2))) (tptp.hBOOL (tptp.hAPP_f458849545l_bool _let_1 B_1)))))) (forall ((C_2 $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_n215258509l_bool tptp.member_nat C_2))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 (tptp.semila465093516t_bool A_2 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 A_2))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 B_1)))))) (forall ((C_2 $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_P1180869721l_bool tptp.member1251428284t_char C_2))) (=> (tptp.hBOOL (tptp.hAPP_f2106398425l_bool _let_1 (tptp.semila1168318597r_bool A_2 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f2106398425l_bool _let_1 A_2))) (tptp.hBOOL (tptp.hAPP_f2106398425l_bool _let_1 B_1)))))) (forall ((C_2 $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_l1903254203l_bool tptp.member_list_char C_2))) (=> (tptp.hBOOL (tptp.hAPP_f986089162l_bool _let_1 (tptp.semila919158006r_bool A_2 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f986089162l_bool _let_1 A_2))) (tptp.hBOOL (tptp.hAPP_f986089162l_bool _let_1 B_1)))))) (forall ((C_2 $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val C_2))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool _let_1 (tptp.semila751111325l_bool A_2 B_1))) (=> (not (tptp.hBOOL (tptp.hAPP_f1453283057l_bool _let_1 A_2))) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool _let_1 B_1)))))) (forall ((A_2 $$unsorted) (C_2 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_P7095645l_bool tptp.member1601084734t_char C_2))) (=> (=> (not (tptp.hBOOL (tptp.hAPP_f483496539l_bool _let_1 B_1))) (tptp.hBOOL (tptp.hAPP_f483496539l_bool _let_1 A_2))) (tptp.hBOOL (tptp.hAPP_f483496539l_bool _let_1 (tptp.semila1731249415r_bool A_2 B_1)))))) (forall ((A_2 $$unsorted) (C_2 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_P205570445l_bool tptp.member1467889965t_char C_2))) (=> (=> (not (tptp.hBOOL (tptp.hAPP_f515912112l_bool _let_1 B_1))) (tptp.hBOOL (tptp.hAPP_f515912112l_bool _let_1 A_2))) (tptp.hBOOL (tptp.hAPP_f515912112l_bool _let_1 (tptp.semila1346223580r_bool A_2 B_1)))))) (forall ((A_2 $$unsorted) (C_2 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_P126004409l_bool tptp.member875476972on_val C_2))) (=> (=> (not (tptp.hBOOL (tptp.hAPP_f458849545l_bool _let_1 B_1))) (tptp.hBOOL (tptp.hAPP_f458849545l_bool _let_1 A_2))) (tptp.hBOOL (tptp.hAPP_f458849545l_bool _let_1 (tptp.semila449273525l_bool A_2 B_1)))))) (forall ((A_2 $$unsorted) (C_2 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_n215258509l_bool tptp.member_nat C_2))) (=> (=> (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 B_1))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 A_2))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 (tptp.semila465093516t_bool A_2 B_1)))))) (forall ((A_2 $$unsorted) (C_2 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_P1180869721l_bool tptp.member1251428284t_char C_2))) (=> (=> (not (tptp.hBOOL (tptp.hAPP_f2106398425l_bool _let_1 B_1))) (tptp.hBOOL (tptp.hAPP_f2106398425l_bool _let_1 A_2))) (tptp.hBOOL (tptp.hAPP_f2106398425l_bool _let_1 (tptp.semila1168318597r_bool A_2 B_1)))))) (forall ((A_2 $$unsorted) (C_2 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_l1903254203l_bool tptp.member_list_char C_2))) (=> (=> (not (tptp.hBOOL (tptp.hAPP_f986089162l_bool _let_1 B_1))) (tptp.hBOOL (tptp.hAPP_f986089162l_bool _let_1 A_2))) (tptp.hBOOL (tptp.hAPP_f986089162l_bool _let_1 (tptp.semila919158006r_bool A_2 B_1)))))) (forall ((A_2 $$unsorted) (C_2 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val C_2))) (=> (=> (not (tptp.hBOOL (tptp.hAPP_f1453283057l_bool _let_1 B_1))) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool _let_1 A_2))) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool _let_1 (tptp.semila751111325l_bool A_2 B_1)))))) (forall ((A_2 $$unsorted) (B_1 $$unsorted) (X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_list_char_bool (tptp.semila919158006r_bool A_2 B_1) X_2)) (=> (not (tptp.hBOOL (tptp.hAPP_list_char_bool A_2 X_2))) (tptp.hBOOL (tptp.hAPP_list_char_bool B_1 X_2))))) (forall ((A_2 $$unsorted) (B_1 $$unsorted) (X_2 $$unsorted)) (=> (=> (not (tptp.hBOOL (tptp.hAPP_list_char_bool B_1 X_2))) (tptp.hBOOL (tptp.hAPP_list_char_bool A_2 X_2))) (tptp.hBOOL (tptp.hAPP_list_char_bool (tptp.semila919158006r_bool A_2 B_1) X_2)))) (forall ((A_2 $$unsorted)) (= (tptp.semila919158006r_bool A_2 A_2) A_2)) (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1933376467r_bool tptp.cOMBC_36589090l_bool tptp.member1601084734t_char))) (= (tptp.semila1731249415r_bool A_2 B_1) (tptp.collec1387638140t_char (tptp.cOMBS_1743887558l_bool (tptp.hAPP_f1985672189l_bool (tptp.hAPP_f1169733153l_bool tptp.cOMBB_565990871t_char tptp.fdisj) (tptp.hAPP_f1853572245r_bool _let_1 A_2)) (tptp.hAPP_f1853572245r_bool _let_1 B_1)))))) (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1020753317r_bool tptp.cOMBC_1297648632l_bool tptp.member1467889965t_char))) (= (tptp.semila1346223580r_bool A_2 B_1) (tptp.collec1583467887t_char (tptp.cOMBS_635570165l_bool (tptp.hAPP_f561246575l_bool (tptp.hAPP_f321462169l_bool tptp.cOMBB_808210516t_char tptp.fdisj) (tptp.hAPP_f1666729379r_bool _let_1 A_2)) (tptp.hAPP_f1666729379r_bool _let_1 B_1)))))) (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f677078775l_bool tptp.cOMBC_475083938l_bool tptp.member875476972on_val))) (= (tptp.semila449273525l_bool A_2 B_1) (tptp.collec2087910442on_val (tptp.cOMBS_1218320756l_bool (tptp.hAPP_f914702973l_bool (tptp.hAPP_f1600936353l_bool tptp.cOMBB_1617503877on_val tptp.fdisj) (tptp.hAPP_f1856968213l_bool _let_1 A_2)) (tptp.hAPP_f1856968213l_bool _let_1 B_1)))))) (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1722879237t_bool tptp.cOMBC_226598744l_bool tptp.member_nat))) (= (tptp.semila465093516t_bool A_2 B_1) (tptp.collect_nat (tptp.cOMBS_nat_bool_bool (tptp.hAPP_f1146629647l_bool (tptp.hAPP_f1080886329l_bool tptp.cOMBB_1015721476ol_nat tptp.fdisj) (tptp.hAPP_f800510211t_bool _let_1 A_2)) (tptp.hAPP_f800510211t_bool _let_1 B_1)))))) (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1876889431r_bool tptp.cOMBC_148995234l_bool tptp.member1251428284t_char))) (= (tptp.semila1168318597r_bool A_2 B_1) (tptp.collec1797130234t_char (tptp.cOMBS_350755140l_bool (tptp.hAPP_f644972157l_bool (tptp.hAPP_f722872225l_bool tptp.cOMBB_1643767893t_char tptp.fdisj) (tptp.hAPP_f112056853r_bool _let_1 A_2)) (tptp.hAPP_f112056853r_bool _let_1 B_1)))))) (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f522372661r_bool tptp.cOMBC_892477410l_bool tptp.member_list_char))) (= (tptp.semila919158006r_bool A_2 B_1) (tptp.collect_list_char (tptp.cOMBS_1502238389l_bool (tptp.hAPP_f1163760061l_bool (tptp.hAPP_f1157863905l_bool tptp.cOMBB_984708934t_char tptp.fdisj) (tptp.hAPP_f1371002581r_bool _let_1 A_2)) (tptp.hAPP_f1371002581r_bool _let_1 B_1)))))) (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1720452391l_bool tptp.cOMBC_1021753250l_bool tptp.member773094996on_val))) (= (tptp.semila751111325l_bool A_2 B_1) (tptp.collec718040978on_val (tptp.cOMBS_1319864284l_bool (tptp.hAPP_f379976829l_bool (tptp.hAPP_f606945057l_bool tptp.cOMBB_705522285on_val tptp.fdisj) (tptp.hAPP_f2036784149l_bool _let_1 A_2)) (tptp.hAPP_f2036784149l_bool _let_1 B_1)))))) (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (= (tptp.semila919158006r_bool A_2 B_1) (tptp.semila919158006r_bool B_1 A_2))) (forall ((E_1_1 $$unsorted) (E_2 $$unsorted)) (= (tptp.fv (tptp.seq_list_char E_1_1 E_2)) (tptp.semila919158006r_bool (tptp.fv E_1_1) (tptp.fv E_2)))) (forall ((Pa $$unsorted) (Va $$unsorted) (S $$unsorted) (E_b $$unsorted) (S_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_v834067052t_char tptp.val_list_char Va))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa _let_1 S) E_b) S_2)) (not (=> (= E_b _let_1) (not (= S_2 S))))))) (forall ((Pa $$unsorted) (Va $$unsorted) (S $$unsorted)) (let ((_let_1 (tptp.hAPP_v834067052t_char tptp.val_list_char Va))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa _let_1 S) _let_1) S)))) (forall ((Eb $$unsorted) (Hb $$unsorted) (Lb $$unsorted) (E_b $$unsorted) (H_b $$unsorted) (L_b $$unsorted) (Pa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb) Lb))) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_b) L_b)))) (tptp.red Pa))) (tptp.hBOOL (tptp.hAPP_f986089162l_bool (tptp.ord_le2092826700r_bool (tptp.dom_list_char_val L_b)) (tptp.semila919158006r_bool (tptp.dom_list_char_val Lb) (tptp.fv Eb)))))) (forall ((Pa $$unsorted) (Eb $$unsorted) (S $$unsorted) (E_b $$unsorted) (S_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb S) E_b) S_2)) (tptp.hBOOL (tptp.final_list_char E_b)))) (forall ((Pa $$unsorted) (S $$unsorted) (Eb $$unsorted)) (=> (tptp.hBOOL (tptp.final_list_char Eb)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb S) Eb) S)))) (forall ((Pa $$unsorted) (Va_1 $$unsorted) (Ta $$unsorted) (E_1_1 $$unsorted) (S $$unsorted) (E_b $$unsorted) (S_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.block_list_char Va_1 Ta E_1_1) S) E_b) S_2)) (not (forall ((H_0_1 $$unsorted) (L_0_1 $$unsorted)) (=> (= S (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_0_1) L_0_1)) (forall ((H_1_1 $$unsorted) (L_1_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_1_1))) (=> (= S_2 (tptp.hAPP_f1727192346on_val _let_1 (tptp.fun_up1149430426on_val L_1_2 Va_1 (tptp.hAPP_l207779698on_val L_0_1 Va_1)))) (not (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa E_1_1 (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_0_1) (tptp.fun_up1149430426on_val L_0_1 Va_1 tptp.none_val))) E_b) (tptp.hAPP_f1727192346on_val _let_1 L_1_2)))))))))))) (forall ((W $$unsorted) (Eb $$unsorted) (Hb $$unsorted) (Lb $$unsorted) (E_b $$unsorted) (H_b $$unsorted) (L_b $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_b))) (let ((_let_2 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb))) (=> (tptp.hBOOL (tptp.wf_pro755087577t_char tptp.wwf_J_mdecl Pa)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb (tptp.hAPP_f1727192346on_val _let_2 Lb)) E_b) (tptp.hAPP_f1727192346on_val _let_1 L_b))) (=> (tptp.hBOOL (tptp.hAPP_f986089162l_bool (tptp.ord_le2092826700r_bool (tptp.fv Eb)) W)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb (tptp.hAPP_f1727192346on_val _let_2 (tptp.restri761823004ar_val Lb W))) E_b) (tptp.hAPP_f1727192346on_val _let_1 (tptp.restri761823004ar_val L_b W)))))))))) (forall ((F $$unsorted) (D $$unsorted) (C $$unsorted) (Fs $$unsorted) (E_2 $$unsorted) (Va $$unsorted) (H_2 $$unsorted) (L_2 $$unsorted) (E_1_1 $$unsorted) (S_0 $$unsorted) (A $$unsorted) (S_1 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (let ((_let_2 (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val C))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_1_1) S_0)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.addr A))) S_1))) _let_1)) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_2) S_1)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.hAPP_v834067052t_char tptp.val_list_char Va)) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_2) L_2)))) _let_1)) (=> (= (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val _let_2 Fs)) (tptp.hAPP_n546249108on_val H_2 A)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.fAss_list_char E_1_1 F D E_2)) S_0)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.hAPP_v834067052t_char tptp.val_list_char tptp.unit)) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val (tptp.fun_up2041264236on_val H_2 A (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val _let_2 (tptp.fun_up204312361on_val Fs (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char F) D) (tptp.hAPP_val_option_val tptp.some_val Va)))))) L_2)))) _let_1)))))))) (forall ((F $$unsorted) (D $$unsorted) (E_2 $$unsorted) (Pa $$unsorted) (Eb $$unsorted) (S $$unsorted) (E_b $$unsorted) (S_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa Eb S) E_b) S_2)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.fAss_list_char Eb F D E_2) S) (tptp.fAss_list_char E_b F D E_2)) S_2)))) (forall ((Va $$unsorted) (F $$unsorted) (D $$unsorted) (Pa $$unsorted) (Eb $$unsorted) (S $$unsorted) (E_b $$unsorted) (S_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_v834067052t_char tptp.val_list_char Va))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa Eb S) E_b) S_2)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.fAss_list_char _let_1 F D Eb) S) (tptp.fAss_list_char _let_1 F D E_b)) S_2))))) (forall ((E_1_1 $$unsorted) (F $$unsorted) (D $$unsorted) (E_2 $$unsorted)) (= (tptp.fv (tptp.fAss_list_char E_1_1 F D E_2)) (tptp.semila919158006r_bool (tptp.fv E_1_1) (tptp.fv E_2)))) (forall ((F $$unsorted) (D $$unsorted) (E_2 $$unsorted) (Eb $$unsorted) (S $$unsorted) (E_b $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.red Pa))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) S_2))) _let_1)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.fAss_list_char Eb F D E_2)) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.fAss_list_char E_b F D E_2)) S_2))) _let_1))))) (forall ((Va $$unsorted) (F $$unsorted) (D $$unsorted) (Eb $$unsorted) (S $$unsorted) (E_b $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.red Pa))) (let ((_let_2 (tptp.hAPP_v834067052t_char tptp.val_list_char Va))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) S_2))) _let_1)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.fAss_list_char _let_2 F D Eb)) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.fAss_list_char _let_2 F D E_b)) S_2))) _let_1)))))) (forall ((F $$unsorted) (D $$unsorted) (E_2 $$unsorted) (Eb $$unsorted) (S $$unsorted) (E_b $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) S_2))) _let_1)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.fAss_list_char Eb F D E_2)) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.fAss_list_char E_b F D E_2)) S_2))) _let_1))))) (forall ((Va $$unsorted) (F $$unsorted) (D $$unsorted) (Eb $$unsorted) (S $$unsorted) (E_b $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (let ((_let_2 (tptp.hAPP_v834067052t_char tptp.val_list_char Va))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) S_2))) _let_1)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.fAss_list_char _let_2 F D Eb)) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.fAss_list_char _let_2 F D E_b)) S_2))) _let_1)))))) (forall ((H_2_1 $$unsorted) (Fs_2 $$unsorted) (F $$unsorted) (D $$unsorted) (C $$unsorted) (Fs $$unsorted) (E_2 $$unsorted) (Va $$unsorted) (H_2 $$unsorted) (L_2 $$unsorted) (Pa $$unsorted) (E_1_1 $$unsorted) (S_0 $$unsorted) (A $$unsorted) (S_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val C))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa E_1_1 S_0) (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.addr A))) S_1)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa E_2 S_1) (tptp.hAPP_v834067052t_char tptp.val_list_char Va)) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_2) L_2))) (=> (= (tptp.hAPP_n546249108on_val H_2 A) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val _let_1 Fs))) (=> (= Fs_2 (tptp.fun_up204312361on_val Fs (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char F) D) (tptp.hAPP_val_option_val tptp.some_val Va))) (=> (= H_2_1 (tptp.fun_up2041264236on_val H_2 A (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val _let_1 Fs_2)))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.fAss_list_char E_1_1 F D E_2) S_0) (tptp.hAPP_v834067052t_char tptp.val_list_char tptp.unit)) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_2_1) L_2)))))))))) (forall ((Pa $$unsorted) (F $$unsorted) (D $$unsorted) (Va $$unsorted) (Lb $$unsorted) (Hb $$unsorted) (A $$unsorted) (C $$unsorted) (Fs $$unsorted)) (let ((_let_1 (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val C))) (=> (= (tptp.hAPP_n546249108on_val Hb A) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val _let_1 Fs))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.fAss_list_char (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.addr A)) F D (tptp.hAPP_v834067052t_char tptp.val_list_char Va)) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb) Lb)) (tptp.hAPP_v834067052t_char tptp.val_list_char tptp.unit)) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val (tptp.fun_up2041264236on_val Hb A (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val _let_1 (tptp.fun_up204312361on_val Fs (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char F) D) (tptp.hAPP_val_option_val tptp.some_val Va)))))) Lb)))))) (forall ((F $$unsorted) (D $$unsorted) (Va $$unsorted) (Lb $$unsorted) (Pa $$unsorted) (Hb $$unsorted) (A $$unsorted) (C $$unsorted) (Fs $$unsorted)) (let ((_let_1 (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val C))) (=> (= (tptp.hAPP_n546249108on_val Hb A) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val _let_1 Fs))) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.fAss_list_char (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.addr A)) F D (tptp.hAPP_v834067052t_char tptp.val_list_char Va))) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb) Lb))) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.hAPP_v834067052t_char tptp.val_list_char tptp.unit)) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val (tptp.fun_up2041264236on_val Hb A (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val _let_1 (tptp.fun_up204312361on_val Fs (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char F) D) (tptp.hAPP_val_option_val tptp.some_val Va)))))) Lb)))) (tptp.red Pa)))))) (forall ((F $$unsorted) (D $$unsorted) (Va $$unsorted) (C $$unsorted) (Fs $$unsorted) (Eb $$unsorted) (S $$unsorted) (A $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.addr A))) S_2))) _let_1)) (=> (= (tptp.hAPP_n546249108on_val (tptp.hp S_2) A) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val C) Fs))) (=> (= (tptp.hAPP_P2094403585on_val Fs (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char F) D)) (tptp.hAPP_val_option_val tptp.some_val Va)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.fAcc_list_char Eb F D)) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.hAPP_v834067052t_char tptp.val_list_char Va)) S_2))) _let_1))))))) (forall ((Pa $$unsorted) (F $$unsorted) (D $$unsorted) (Va $$unsorted) (S $$unsorted) (A $$unsorted) (C $$unsorted) (Fs $$unsorted)) (=> (= (tptp.hAPP_n546249108on_val (tptp.hp S) A) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val C) Fs))) (=> (= (tptp.hAPP_P2094403585on_val Fs (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char F) D)) (tptp.hAPP_val_option_val tptp.some_val Va)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.fAcc_list_char (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.addr A)) F D)) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.hAPP_v834067052t_char tptp.val_list_char Va)) S))) (tptp.red Pa)))))) (forall ((Pa $$unsorted) (F $$unsorted) (D $$unsorted) (Va $$unsorted) (S $$unsorted) (A $$unsorted) (C $$unsorted) (Fs $$unsorted)) (=> (= (tptp.hAPP_n546249108on_val (tptp.hp S) A) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val C) Fs))) (=> (= (tptp.hAPP_P2094403585on_val Fs (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char F) D)) (tptp.hAPP_val_option_val tptp.some_val Va)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.fAcc_list_char (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.addr A)) F D) S) (tptp.hAPP_v834067052t_char tptp.val_list_char Va)) S))))) (forall ((F $$unsorted) (D $$unsorted) (Va $$unsorted) (C $$unsorted) (Fs $$unsorted) (Pa $$unsorted) (Eb $$unsorted) (S_0 $$unsorted) (A $$unsorted) (Hb $$unsorted) (Lb $$unsorted)) (let ((_let_1 (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb) Lb))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb S_0) (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.addr A))) _let_1)) (=> (= (tptp.hAPP_n546249108on_val Hb A) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val C) Fs))) (=> (= (tptp.hAPP_P2094403585on_val Fs (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char F) D)) (tptp.hAPP_val_option_val tptp.some_val Va)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.fAcc_list_char Eb F D) S_0) (tptp.hAPP_v834067052t_char tptp.val_list_char Va)) _let_1))))))) (forall ((Va_1 $$unsorted) (Ta $$unsorted) (Va $$unsorted) (A $$unsorted) (S $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.throw_list_char (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.addr A))))) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.block_list_char Va_1 Ta (tptp.seq_list_char (tptp.lAss_list_char Va_1 (tptp.hAPP_v834067052t_char tptp.val_list_char Va)) _let_1))) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val _let_1) S))) (tptp.red Pa))))) (forall ((Pa $$unsorted) (Eb $$unsorted) (F $$unsorted) (D $$unsorted) (S $$unsorted)) (let ((_let_1 (tptp.throw_list_char Eb))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.fAcc_list_char _let_1 F D) S) _let_1) S)))) (forall ((F $$unsorted) (D $$unsorted) (Pa $$unsorted) (Eb $$unsorted) (S_0 $$unsorted) (E_b $$unsorted) (S_1 $$unsorted)) (let ((_let_1 (tptp.throw_list_char E_b))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb S_0) _let_1) S_1)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.fAcc_list_char Eb F D) S_0) _let_1) S_1))))) (forall ((Pa $$unsorted) (Eb $$unsorted) (S_0 $$unsorted) (E_b $$unsorted) (S_1 $$unsorted)) (let ((_let_1 (tptp.throw_list_char E_b))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb S_0) _let_1) S_1)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.throw_list_char Eb) S_0) _let_1) S_1))))) (forall ((Pa $$unsorted) (Eb $$unsorted) (S $$unsorted)) (let ((_let_1 (tptp.throw_list_char Eb))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.throw_list_char _let_1) S) _let_1) S)))) (forall ((Pa $$unsorted) (Eb $$unsorted) (S $$unsorted) (E_b $$unsorted) (S_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa Eb S) E_b) S_2)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.throw_list_char Eb) S) (tptp.throw_list_char E_b)) S_2)))) (forall ((Eb $$unsorted)) (= (tptp.fv (tptp.throw_list_char Eb)) (tptp.fv Eb))) (forall ((F $$unsorted) (D $$unsorted) (Pa $$unsorted) (Eb $$unsorted) (S $$unsorted) (E_b $$unsorted) (S_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa Eb S) E_b) S_2)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.fAcc_list_char Eb F D) S) (tptp.fAcc_list_char E_b F D)) S_2)))) (forall ((Eb $$unsorted) (F $$unsorted) (D $$unsorted)) (= (tptp.fv (tptp.fAcc_list_char Eb F D)) (tptp.fv Eb))) (forall ((Eb $$unsorted) (F $$unsorted) (D $$unsorted) (S $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.throw_list_char Eb))) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.fAcc_list_char _let_1 F D)) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val _let_1) S))) (tptp.red Pa))))) (forall ((F $$unsorted) (D $$unsorted) (Eb $$unsorted) (S $$unsorted) (A $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (let ((_let_2 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.throw_list_char A)) S_2))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S)) _let_2)) _let_1)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.fAcc_list_char Eb F D)) S)) _let_2)) _let_1)))))) (forall ((E_1_1 $$unsorted) (Pa $$unsorted) (E_0 $$unsorted) (S_0 $$unsorted) (Eb $$unsorted) (S_1 $$unsorted)) (let ((_let_1 (tptp.throw_list_char Eb))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa E_0 S_0) _let_1) S_1)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.seq_list_char E_0 E_1_1) S_0) _let_1) S_1))))) (forall ((Va_1 $$unsorted) (Pa $$unsorted) (Eb $$unsorted) (S_0 $$unsorted) (E_b $$unsorted) (S_1 $$unsorted)) (let ((_let_1 (tptp.throw_list_char E_b))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb S_0) _let_1) S_1)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.lAss_list_char Va_1 Eb) S_0) _let_1) S_1))))) (forall ((F $$unsorted) (D $$unsorted) (E_2 $$unsorted) (Pa $$unsorted) (E_1_1 $$unsorted) (S_0 $$unsorted) (E_b $$unsorted) (S_1 $$unsorted)) (let ((_let_1 (tptp.throw_list_char E_b))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa E_1_1 S_0) _let_1) S_1)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.fAss_list_char E_1_1 F D E_2) S_0) _let_1) S_1))))) (forall ((Pa $$unsorted) (Eb $$unsorted) (E_2 $$unsorted) (S $$unsorted)) (let ((_let_1 (tptp.throw_list_char Eb))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.seq_list_char _let_1 E_2) S) _let_1) S)))) (forall ((Pa $$unsorted) (Va_1 $$unsorted) (Eb $$unsorted) (S $$unsorted)) (let ((_let_1 (tptp.throw_list_char Eb))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.lAss_list_char Va_1 _let_1) S) _let_1) S)))) (forall ((Pa $$unsorted) (Eb $$unsorted) (F $$unsorted) (D $$unsorted) (E_2 $$unsorted) (S $$unsorted)) (let ((_let_1 (tptp.throw_list_char Eb))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.fAss_list_char _let_1 F D E_2) S) _let_1) S)))) (forall ((Eb $$unsorted) (S $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.throw_list_char Eb))) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.throw_list_char _let_1)) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val _let_1) S))) (tptp.red Pa))))) (forall ((Eb $$unsorted) (S $$unsorted) (E_b $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.red Pa))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) S_2))) _let_1)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.throw_list_char Eb)) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.throw_list_char E_b)) S_2))) _let_1))))) (forall ((Pa $$unsorted) (Eb $$unsorted) (S_0 $$unsorted) (A $$unsorted) (S_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.addr A)))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb S_0) _let_1) S_1)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.throw_list_char Eb) S_0) (tptp.throw_list_char _let_1)) S_1))))) (forall ((F $$unsorted) (D $$unsorted) (E_2 $$unsorted) (E_b $$unsorted) (S_2_1 $$unsorted) (Pa $$unsorted) (E_1_1 $$unsorted) (S_0 $$unsorted) (Va $$unsorted) (S_1 $$unsorted)) (let ((_let_1 (tptp.throw_list_char E_b))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa E_1_1 S_0) (tptp.hAPP_v834067052t_char tptp.val_list_char Va)) S_1)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa E_2 S_1) _let_1) S_2_1)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.fAss_list_char E_1_1 F D E_2) S_0) _let_1) S_2_1)))))) (forall ((F $$unsorted) (D $$unsorted) (Eb $$unsorted) (S $$unsorted) (E_b $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.red Pa))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) S_2))) _let_1)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.fAcc_list_char Eb F D)) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.fAcc_list_char E_b F D)) S_2))) _let_1))))) (forall ((Pa $$unsorted) (Va $$unsorted) (F $$unsorted) (D $$unsorted) (Eb $$unsorted) (S $$unsorted)) (let ((_let_1 (tptp.throw_list_char Eb))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.fAss_list_char (tptp.hAPP_v834067052t_char tptp.val_list_char Va) F D _let_1) S) _let_1) S)))) (forall ((Eb $$unsorted) (S $$unsorted) (E_b $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) S_2))) _let_1)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.throw_list_char Eb)) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.throw_list_char E_b)) S_2))) _let_1))))) (forall ((Eb $$unsorted) (S $$unsorted) (A $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (let ((_let_2 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.throw_list_char A)) S_2))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S)) _let_2)) _let_1)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.throw_list_char Eb)) S)) _let_2)) _let_1)))))) (forall ((Va_1 $$unsorted) (Eb $$unsorted) (S $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.throw_list_char Eb))) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.lAss_list_char Va_1 _let_1)) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val _let_1) S))) (tptp.red Pa))))) (forall ((Eb $$unsorted) (E_2 $$unsorted) (S $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.throw_list_char Eb))) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.seq_list_char _let_1 E_2)) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val _let_1) S))) (tptp.red Pa))))) (forall ((Eb $$unsorted) (F $$unsorted) (D $$unsorted) (E_2 $$unsorted) (S $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.throw_list_char Eb))) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.fAss_list_char _let_1 F D E_2)) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val _let_1) S))) (tptp.red Pa))))) (forall ((Pa $$unsorted) (Va_1 $$unsorted) (Ta $$unsorted) (A $$unsorted) (S $$unsorted)) (let ((_let_1 (tptp.throw_list_char (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.addr A))))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.block_list_char Va_1 Ta _let_1) S) _let_1) S)))) (forall ((F $$unsorted) (D $$unsorted) (Eb $$unsorted) (S $$unsorted) (E_b $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) S_2))) _let_1)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.fAcc_list_char Eb F D)) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.fAcc_list_char E_b F D)) S_2))) _let_1))))) (forall ((Va $$unsorted) (F $$unsorted) (D $$unsorted) (Eb $$unsorted) (S $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.throw_list_char Eb))) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.fAss_list_char (tptp.hAPP_v834067052t_char tptp.val_list_char Va) F D _let_1)) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val _let_1) S))) (tptp.red Pa))))) (forall ((Va_1 $$unsorted) (Eb $$unsorted) (S $$unsorted) (A $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (let ((_let_2 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.throw_list_char A)) S_2))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S)) _let_2)) _let_1)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.lAss_list_char Va_1 Eb)) S)) _let_2)) _let_1)))))) (forall ((E_2 $$unsorted) (Eb $$unsorted) (S $$unsorted) (E_b $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (let ((_let_2 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.throw_list_char E_b)) S_2))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S)) _let_2)) _let_1)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.seq_list_char Eb E_2)) S)) _let_2)) _let_1)))))) (forall ((F $$unsorted) (D $$unsorted) (E_2 $$unsorted) (Eb $$unsorted) (S $$unsorted) (E_b $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (let ((_let_2 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.throw_list_char E_b)) S_2))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S)) _let_2)) _let_1)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.fAss_list_char Eb F D E_2)) S)) _let_2)) _let_1)))))) (forall ((F $$unsorted) (D $$unsorted) (E_2 $$unsorted) (Eb $$unsorted) (S_2_1 $$unsorted) (E_1_1 $$unsorted) (S_0 $$unsorted) (Va $$unsorted) (S_1 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (let ((_let_2 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.throw_list_char Eb)) S_2_1))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_1_1) S_0)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.hAPP_v834067052t_char tptp.val_list_char Va)) S_1))) _let_1)) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_2) S_1)) _let_2)) _let_1)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.fAss_list_char E_1_1 F D E_2)) S_0)) _let_2)) _let_1))))))) (forall ((Va_1 $$unsorted) (Ta $$unsorted) (A $$unsorted) (S $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.throw_list_char (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.addr A))))) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.block_list_char Va_1 Ta _let_1)) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val _let_1) S))) (tptp.red Pa))))) (forall ((Pa $$unsorted) (Va_1 $$unsorted) (Ta $$unsorted) (Va $$unsorted) (A $$unsorted) (S $$unsorted)) (let ((_let_1 (tptp.throw_list_char (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.addr A))))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.block_list_char Va_1 Ta (tptp.seq_list_char (tptp.lAss_list_char Va_1 (tptp.hAPP_v834067052t_char tptp.val_list_char Va)) _let_1)) S) _let_1) S)))) (forall ((Pa $$unsorted) (Va_1 $$unsorted) (Eb $$unsorted) (S $$unsorted) (E_b $$unsorted) (S_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.lAss_list_char Va_1 Eb) S) E_b) S_2)) (=> (=> (= E_b (tptp.hAPP_v834067052t_char tptp.val_list_char tptp.unit)) (forall ((V_2 $$unsorted) (H $$unsorted) (L_4 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H))) (=> (= S_2 (tptp.hAPP_f1727192346on_val _let_1 (tptp.fun_up1149430426on_val L_4 Va_1 (tptp.hAPP_val_option_val tptp.some_val V_2)))) (not (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb S) (tptp.hAPP_v834067052t_char tptp.val_list_char V_2)) (tptp.hAPP_f1727192346on_val _let_1 L_4)))))))) (not (forall ((E_1 $$unsorted)) (let ((_let_1 (tptp.throw_list_char E_1))) (=> (= E_b _let_1) (not (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb S) _let_1) S_2)))))))))) (forall ((Pa $$unsorted) (E_1_1 $$unsorted) (E_2 $$unsorted) (S $$unsorted) (E_b $$unsorted) (S_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.seq_list_char E_1_1 E_2) S) E_b) S_2)) (=> (forall ((V_2 $$unsorted) (S_1_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa E_1_1 S) (tptp.hAPP_v834067052t_char tptp.val_list_char V_2)) S_1_1)) (not (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa E_2 S_1_1) E_b) S_2))))) (not (forall ((E_4 $$unsorted)) (let ((_let_1 (tptp.throw_list_char E_4))) (=> (= E_b _let_1) (not (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa E_1_1 S) _let_1) S_2)))))))))) (forall ((Nat_1 $$unsorted)) (not (= tptp.unit (tptp.addr Nat_1)))) (forall ((Nat_1 $$unsorted)) (not (= (tptp.addr Nat_1) tptp.unit))) (forall ((Nat_2 $$unsorted) (Nat $$unsorted)) (= (= (tptp.addr Nat_2) (tptp.addr Nat)) (= Nat_2 Nat))) (forall ((E_2 $$unsorted) (Va_1 $$unsorted) (E_2_1 $$unsorted) (H_2 $$unsorted) (L_2 $$unsorted) (C $$unsorted) (D $$unsorted) (Fs $$unsorted) (E_1_1 $$unsorted) (S_0 $$unsorted) (A $$unsorted) (H_1 $$unsorted) (L_1_1 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (let ((_let_2 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_2))) (let ((_let_3 (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_2_1))) (let ((_let_4 (tptp.addr A))) (let ((_let_5 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_1))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_1_1) S_0)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.throw_list_char (tptp.hAPP_v834067052t_char tptp.val_list_char _let_4))) (tptp.hAPP_f1727192346on_val _let_5 L_1_1)))) _let_1)) (=> (= (tptp.hAPP_n546249108on_val H_1 A) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val D) Fs))) (=> (tptp.hBOOL (tptp.hAPP_f2106398425l_bool (tptp.hAPP_P1180869721l_bool tptp.member1251428284t_char (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char D) C)) (tptp.transi1395422419t_char (tptp.subcls851966956t_char Pa)))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_2) (tptp.hAPP_f1727192346on_val _let_5 (tptp.fun_up1149430426on_val L_1_1 Va_1 (tptp.hAPP_val_option_val tptp.some_val _let_4))))) (tptp.hAPP_P604205461on_val _let_3 (tptp.hAPP_f1727192346on_val _let_2 L_2)))) _let_1)) (=> (tptp.hBOOL (tptp.final_list_char E_2_1)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.tryCatch_list_char E_1_1 C Va_1 E_2)) S_0)) (tptp.hAPP_P604205461on_val _let_3 (tptp.hAPP_f1727192346on_val _let_2 (tptp.fun_up1149430426on_val L_2 Va_1 (tptp.hAPP_l207779698on_val L_1_1 Va_1)))))) _let_1))))))))))))) (forall ((Ta $$unsorted) (Pa $$unsorted) (Hb $$unsorted) (Ea $$unsorted) (Eb $$unsorted) (T_r $$unsorted)) (=> (tptp.hBOOL (tptp.wTrt_1 Pa Hb Ea Eb T_r)) (=> (tptp.hBOOL (tptp.is_refT T_r)) (tptp.hBOOL (tptp.wTrt_1 Pa Hb Ea (tptp.throw_list_char Eb) Ta))))) (forall ((Bop $$unsorted) (E_2 $$unsorted) (Eb $$unsorted) (S_2_1 $$unsorted) (E_1_1 $$unsorted) (S_0 $$unsorted) (V_1_2 $$unsorted) (S_1 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (let ((_let_2 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.throw_list_char Eb)) S_2_1))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_1_1) S_0)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.hAPP_v834067052t_char tptp.val_list_char V_1_2)) S_1))) _let_1)) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_2) S_1)) _let_2)) _let_1)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.binOp_list_char E_1_1 Bop E_2)) S_0)) _let_2)) _let_1))))))) (forall ((Va_1 $$unsorted) (E_2 $$unsorted) (C $$unsorted) (D $$unsorted) (Fs $$unsorted) (E_1_1 $$unsorted) (S $$unsorted) (A $$unsorted) (Hb $$unsorted) (Lb $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (let ((_let_2 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.throw_list_char (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.addr A)))) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb) Lb)))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_1_1) S)) _let_2)) _let_1)) (=> (= (tptp.hAPP_n546249108on_val Hb A) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val D) Fs))) (=> (not (tptp.hBOOL (tptp.hAPP_f2106398425l_bool (tptp.hAPP_P1180869721l_bool tptp.member1251428284t_char (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char D) C)) (tptp.transi1395422419t_char (tptp.subcls851966956t_char Pa))))) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.tryCatch_list_char E_1_1 C Va_1 E_2)) S)) _let_2)) _let_1)))))))) (forall ((Bop $$unsorted) (E_2 $$unsorted) (Pa $$unsorted) (Eb $$unsorted) (S $$unsorted) (E_b $$unsorted) (S_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa Eb S) E_b) S_2)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.binOp_list_char Eb Bop E_2) S) (tptp.binOp_list_char E_b Bop E_2)) S_2)))) (forall ((C $$unsorted) (Va_1 $$unsorted) (E_2 $$unsorted) (Pa $$unsorted) (Eb $$unsorted) (S $$unsorted) (E_b $$unsorted) (S_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa Eb S) E_b) S_2)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.tryCatch_list_char Eb C Va_1 E_2) S) (tptp.tryCatch_list_char E_b C Va_1 E_2)) S_2)))) (forall ((Bop $$unsorted) (E_2 $$unsorted) (Pa $$unsorted) (E_1_1 $$unsorted) (S_0 $$unsorted) (Eb $$unsorted) (S_1 $$unsorted)) (let ((_let_1 (tptp.throw_list_char Eb))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa E_1_1 S_0) _let_1) S_1)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.binOp_list_char E_1_1 Bop E_2) S_0) _let_1) S_1))))) (forall ((V_1_2 $$unsorted) (Bop $$unsorted) (Pa $$unsorted) (Eb $$unsorted) (S $$unsorted) (E_b $$unsorted) (S_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_v834067052t_char tptp.val_list_char V_1_2))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa Eb S) E_b) S_2)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.binOp_list_char _let_1 Bop Eb) S) (tptp.binOp_list_char _let_1 Bop E_b)) S_2))))) (forall ((Pa $$unsorted) (Eb $$unsorted) (Bop $$unsorted) (E_2 $$unsorted) (S $$unsorted)) (let ((_let_1 (tptp.throw_list_char Eb))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.binOp_list_char _let_1 Bop E_2) S) _let_1) S)))) (forall ((C $$unsorted) (Va_1 $$unsorted) (E_2 $$unsorted) (Pa $$unsorted) (E_1_1 $$unsorted) (S_0 $$unsorted) (V_1_2 $$unsorted) (S_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_v834067052t_char tptp.val_list_char V_1_2))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa E_1_1 S_0) _let_1) S_1)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.tryCatch_list_char E_1_1 C Va_1 E_2) S_0) _let_1) S_1))))) (forall ((Pa $$unsorted) (Va $$unsorted) (C $$unsorted) (Va_1 $$unsorted) (E_2 $$unsorted) (S $$unsorted)) (let ((_let_1 (tptp.hAPP_v834067052t_char tptp.val_list_char Va))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.tryCatch_list_char _let_1 C Va_1 E_2) S) _let_1) S)))) (forall ((E_1_1 $$unsorted) (Bop $$unsorted) (E_2 $$unsorted)) (= (tptp.fv (tptp.binOp_list_char E_1_1 Bop E_2)) (tptp.semila919158006r_bool (tptp.fv E_1_1) (tptp.fv E_2)))) (forall ((Bop $$unsorted) (E_2 $$unsorted) (Eb $$unsorted) (S $$unsorted) (E_b $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.red Pa))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) S_2))) _let_1)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.binOp_list_char Eb Bop E_2)) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.binOp_list_char E_b Bop E_2)) S_2))) _let_1))))) (forall ((Bop $$unsorted) (E_2 $$unsorted) (Eb $$unsorted) (S_2_1 $$unsorted) (Pa $$unsorted) (E_1_1 $$unsorted) (S_0 $$unsorted) (V_1_2 $$unsorted) (S_1 $$unsorted)) (let ((_let_1 (tptp.throw_list_char Eb))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa E_1_1 S_0) (tptp.hAPP_v834067052t_char tptp.val_list_char V_1_2)) S_1)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa E_2 S_1) _let_1) S_2_1)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.binOp_list_char E_1_1 Bop E_2) S_0) _let_1) S_2_1)))))) (forall ((Pa $$unsorted) (V_1_2 $$unsorted) (Bop $$unsorted) (Eb $$unsorted) (S $$unsorted)) (let ((_let_1 (tptp.throw_list_char Eb))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.binOp_list_char (tptp.hAPP_v834067052t_char tptp.val_list_char V_1_2) Bop _let_1) S) _let_1) S)))) (forall ((C $$unsorted) (Va_1 $$unsorted) (E_2 $$unsorted) (Eb $$unsorted) (S $$unsorted) (E_b $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.red Pa))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) S_2))) _let_1)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.tryCatch_list_char Eb C Va_1 E_2)) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.tryCatch_list_char E_b C Va_1 E_2)) S_2))) _let_1))))) (forall ((V_1_2 $$unsorted) (Bop $$unsorted) (Eb $$unsorted) (S $$unsorted) (E_b $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.red Pa))) (let ((_let_2 (tptp.hAPP_v834067052t_char tptp.val_list_char V_1_2))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) S_2))) _let_1)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.binOp_list_char _let_2 Bop Eb)) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.binOp_list_char _let_2 Bop E_b)) S_2))) _let_1)))))) (forall ((Eb $$unsorted) (Bop $$unsorted) (E_2 $$unsorted) (S $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.throw_list_char Eb))) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.binOp_list_char _let_1 Bop E_2)) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val _let_1) S))) (tptp.red Pa))))) (forall ((Bop $$unsorted) (E_2 $$unsorted) (Eb $$unsorted) (S $$unsorted) (E_b $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) S_2))) _let_1)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.binOp_list_char Eb Bop E_2)) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.binOp_list_char E_b Bop E_2)) S_2))) _let_1))))) (forall ((Va $$unsorted) (C $$unsorted) (Va_1 $$unsorted) (E_2 $$unsorted) (S $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.hAPP_v834067052t_char tptp.val_list_char Va))) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.tryCatch_list_char _let_1 C Va_1 E_2)) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val _let_1) S))) (tptp.red Pa))))) (forall ((C $$unsorted) (Va_1 $$unsorted) (E_2 $$unsorted) (Eb $$unsorted) (S $$unsorted) (E_b $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) S_2))) _let_1)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.tryCatch_list_char Eb C Va_1 E_2)) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.tryCatch_list_char E_b C Va_1 E_2)) S_2))) _let_1))))) (forall ((Va_1 $$unsorted) (E_2 $$unsorted) (C $$unsorted) (D $$unsorted) (Fs $$unsorted) (Pa $$unsorted) (E_1_1 $$unsorted) (S_0 $$unsorted) (A $$unsorted) (H_1 $$unsorted) (L_1_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_1) L_1_1))) (let ((_let_2 (tptp.throw_list_char (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.addr A))))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa E_1_1 S_0) _let_2) _let_1)) (=> (= (tptp.hAPP_n546249108on_val H_1 A) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val D) Fs))) (=> (not (tptp.hBOOL (tptp.hAPP_f2106398425l_bool (tptp.hAPP_P1180869721l_bool tptp.member1251428284t_char (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char D) C)) (tptp.transi1395422419t_char (tptp.subcls851966956t_char Pa))))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.tryCatch_list_char E_1_1 C Va_1 E_2) S_0) _let_2) _let_1)))))))) (forall ((V_1_2 $$unsorted) (Bop $$unsorted) (Eb $$unsorted) (S $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.throw_list_char Eb))) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.binOp_list_char (tptp.hAPP_v834067052t_char tptp.val_list_char V_1_2) Bop _let_1)) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val _let_1) S))) (tptp.red Pa))))) (forall ((Va $$unsorted) (Bop $$unsorted) (Eb $$unsorted) (S $$unsorted) (E_b $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (let ((_let_2 (tptp.hAPP_v834067052t_char tptp.val_list_char Va))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) S_2))) _let_1)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.binOp_list_char _let_2 Bop Eb)) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.binOp_list_char _let_2 Bop E_b)) S_2))) _let_1)))))) (forall ((Bop $$unsorted) (E_2 $$unsorted) (Eb $$unsorted) (S $$unsorted) (E_b $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (let ((_let_2 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.throw_list_char E_b)) S_2))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S)) _let_2)) _let_1)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.binOp_list_char Eb Bop E_2)) S)) _let_2)) _let_1)))))) (forall ((C $$unsorted) (Va_1 $$unsorted) (E_2 $$unsorted) (Eb $$unsorted) (S $$unsorted) (Va $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (let ((_let_2 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.hAPP_v834067052t_char tptp.val_list_char Va)) S_2))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S)) _let_2)) _let_1)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.tryCatch_list_char Eb C Va_1 E_2)) S)) _let_2)) _let_1)))))) (forall ((Va_1 $$unsorted) (E_2 $$unsorted) (C $$unsorted) (Pa $$unsorted) (S $$unsorted) (A $$unsorted) (D $$unsorted) (Fs $$unsorted)) (let ((_let_1 (tptp.throw_list_char (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.addr A))))) (=> (= (tptp.hAPP_n546249108on_val (tptp.hp S) A) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val D) Fs))) (=> (not (tptp.hBOOL (tptp.hAPP_f2106398425l_bool (tptp.hAPP_P1180869721l_bool tptp.member1251428284t_char (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char D) C)) (tptp.transi1395422419t_char (tptp.subcls851966956t_char Pa))))) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.tryCatch_list_char _let_1 C Va_1 E_2)) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val _let_1) S))) (tptp.red Pa))))))) (forall ((E_2 $$unsorted) (Va_1 $$unsorted) (E_2_1 $$unsorted) (H_2 $$unsorted) (L_2 $$unsorted) (C $$unsorted) (D $$unsorted) (Fs $$unsorted) (Pa $$unsorted) (E_1_1 $$unsorted) (S_0 $$unsorted) (A $$unsorted) (H_1 $$unsorted) (L_1_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_2))) (let ((_let_2 (tptp.addr A))) (let ((_let_3 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_1))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa E_1_1 S_0) (tptp.throw_list_char (tptp.hAPP_v834067052t_char tptp.val_list_char _let_2))) (tptp.hAPP_f1727192346on_val _let_3 L_1_1))) (=> (= (tptp.hAPP_n546249108on_val H_1 A) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val D) Fs))) (=> (tptp.hBOOL (tptp.hAPP_f2106398425l_bool (tptp.hAPP_P1180869721l_bool tptp.member1251428284t_char (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char D) C)) (tptp.transi1395422419t_char (tptp.subcls851966956t_char Pa)))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa E_2 (tptp.hAPP_f1727192346on_val _let_3 (tptp.fun_up1149430426on_val L_1_1 Va_1 (tptp.hAPP_val_option_val tptp.some_val _let_2)))) E_2_1) (tptp.hAPP_f1727192346on_val _let_1 L_2))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.tryCatch_list_char E_1_1 C Va_1 E_2) S_0) E_2_1) (tptp.hAPP_f1727192346on_val _let_1 (tptp.fun_up1149430426on_val L_2 Va_1 (tptp.hAPP_l207779698on_val L_1_1 Va_1))))))))))))) (forall ((Pa $$unsorted) (Hb $$unsorted) (Ea $$unsorted) (Eb $$unsorted) (Ta $$unsorted)) (=> (tptp.hBOOL (tptp.wTrt_1 Pa Hb Ea (tptp.throw_list_char Eb) Ta)) (not (forall ((T_r_1 $$unsorted)) (=> (tptp.hBOOL (tptp.wTrt_1 Pa Hb Ea Eb T_r_1)) (not (tptp.hBOOL (tptp.is_refT T_r_1)))))))) (forall ((X_2 $$unsorted) (A $$unsorted) (Hb $$unsorted)) (=> (tptp.hBOOL (tptp.preallocated Hb)) (=> (= (tptp.hAPP_n546249108on_val Hb A) tptp.none_P179726773on_val) (tptp.hBOOL (tptp.preallocated (tptp.fun_up2041264236on_val Hb A (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val X_2))))))) (forall ((Va_1 $$unsorted) (E_2 $$unsorted) (C $$unsorted) (Pa $$unsorted) (S $$unsorted) (A $$unsorted) (D $$unsorted) (Fs $$unsorted)) (let ((_let_1 (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.addr A)))) (=> (= (tptp.hAPP_n546249108on_val (tptp.hp S) A) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val D) Fs))) (=> (tptp.hBOOL (tptp.hAPP_f2106398425l_bool (tptp.hAPP_P1180869721l_bool tptp.member1251428284t_char (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char D) C)) (tptp.transi1395422419t_char (tptp.subcls851966956t_char Pa)))) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.tryCatch_list_char (tptp.throw_list_char _let_1) C Va_1 E_2)) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.block_list_char Va_1 (tptp.hAPP_list_char_ty tptp.class C) (tptp.seq_list_char (tptp.lAss_list_char Va_1 _let_1) E_2))) S))) (tptp.red Pa))))))) (forall ((Fs_2 $$unsorted) (A $$unsorted) (C $$unsorted) (Fs $$unsorted) (Hb $$unsorted)) (let ((_let_1 (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val C))) (=> (tptp.hBOOL (tptp.preallocated Hb)) (=> (= (tptp.hAPP_n546249108on_val Hb A) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val _let_1 Fs))) (tptp.hBOOL (tptp.preallocated (tptp.fun_up2041264236on_val Hb A (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val _let_1 Fs_2))))))))) (forall ((C $$unsorted) (D $$unsorted) (Fs $$unsorted) (Eb $$unsorted) (S $$unsorted) (A $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (let ((_let_2 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.addr A))) S_2))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S)) _let_2)) _let_1)) (=> (= (tptp.hAPP_n546249108on_val (tptp.hp S_2) A) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val D) Fs))) (=> (tptp.hBOOL (tptp.hAPP_f2106398425l_bool (tptp.hAPP_P1180869721l_bool tptp.member1251428284t_char (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char D) C)) (tptp.transi1395422419t_char (tptp.subcls851966956t_char Pa)))) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.cast_list_char C Eb)) S)) _let_2)) _let_1)))))))) (forall ((Va_1 $$unsorted) (C $$unsorted) (E_2 $$unsorted) (T_2_2 $$unsorted) (Pa $$unsorted) (Hb $$unsorted) (Ea $$unsorted) (E_1_1 $$unsorted) (T_1_1 $$unsorted)) (=> (tptp.hBOOL (tptp.wTrt_1 Pa Hb Ea E_1_1 T_1_1)) (=> (tptp.hBOOL (tptp.wTrt_1 Pa Hb (tptp.fun_up424764369ion_ty Ea Va_1 (tptp.hAPP_ty_option_ty tptp.some_ty (tptp.hAPP_list_char_ty tptp.class C))) E_2 T_2_2)) (=> (tptp.hBOOL (tptp.hAPP_ty_bool (tptp.hAPP_ty_fun_ty_bool (tptp.widen_2090681816t_char Pa) T_1_1) T_2_2)) (tptp.hBOOL (tptp.wTrt_1 Pa Hb Ea (tptp.tryCatch_list_char E_1_1 C Va_1 E_2) T_2_2)))))) (forall ((C $$unsorted) (Pa $$unsorted) (Eb $$unsorted) (S $$unsorted) (E_b $$unsorted) (S_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa Eb S) E_b) S_2)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.cast_list_char C Eb) S) (tptp.cast_list_char C E_b)) S_2)))) (forall ((C $$unsorted) (Eb $$unsorted)) (= (tptp.fv (tptp.cast_list_char C Eb)) (tptp.fv Eb))) (forall ((C $$unsorted) (Pa $$unsorted) (Eb $$unsorted) (S_0 $$unsorted) (E_b $$unsorted) (S_1 $$unsorted)) (let ((_let_1 (tptp.throw_list_char E_b))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb S_0) _let_1) S_1)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.cast_list_char C Eb) S_0) _let_1) S_1))))) (forall ((Pa $$unsorted) (C $$unsorted) (Eb $$unsorted) (S $$unsorted)) (let ((_let_1 (tptp.throw_list_char Eb))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.cast_list_char C _let_1) S) _let_1) S)))) (forall ((F $$unsorted) (Ta $$unsorted) (D $$unsorted) (Pa $$unsorted) (Hb $$unsorted) (Ea $$unsorted) (Eb $$unsorted) (C $$unsorted)) (=> (tptp.hBOOL (tptp.wTrt_1 Pa Hb Ea Eb (tptp.hAPP_list_char_ty tptp.class C))) (=> (tptp.hBOOL (tptp.hAPP_list_char_bool (tptp.has_fi1183600461t_char Pa C F Ta) D)) (tptp.hBOOL (tptp.wTrt_1 Pa Hb Ea (tptp.fAcc_list_char Eb F D) Ta))))) (forall ((C $$unsorted) (Eb $$unsorted) (S $$unsorted) (E_b $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.red Pa))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) S_2))) _let_1)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.cast_list_char C Eb)) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.cast_list_char C E_b)) S_2))) _let_1))))) (forall ((C $$unsorted) (Eb $$unsorted) (S $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.throw_list_char Eb))) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.cast_list_char C _let_1)) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val _let_1) S))) (tptp.red Pa))))) (forall ((C $$unsorted) (Eb $$unsorted) (S $$unsorted) (E_b $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) S_2))) _let_1)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.cast_list_char C Eb)) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.cast_list_char C E_b)) S_2))) _let_1))))) (forall ((E_2 $$unsorted) (T_2_2 $$unsorted) (F $$unsorted) (Ta $$unsorted) (D $$unsorted) (Pa $$unsorted) (Hb $$unsorted) (Ea $$unsorted) (E_1_1 $$unsorted) (C $$unsorted)) (=> (tptp.hBOOL (tptp.wTrt_1 Pa Hb Ea E_1_1 (tptp.hAPP_list_char_ty tptp.class C))) (=> (tptp.hBOOL (tptp.hAPP_list_char_bool (tptp.has_fi1183600461t_char Pa C F Ta) D)) (=> (tptp.hBOOL (tptp.wTrt_1 Pa Hb Ea E_2 T_2_2)) (=> (tptp.hBOOL (tptp.hAPP_ty_bool (tptp.hAPP_ty_fun_ty_bool (tptp.widen_2090681816t_char Pa) T_2_2) Ta)) (tptp.hBOOL (tptp.wTrt_1 Pa Hb Ea (tptp.fAss_list_char E_1_1 F D E_2) tptp.void))))))) (forall ((C $$unsorted) (Eb $$unsorted) (S $$unsorted) (A $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (let ((_let_2 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.throw_list_char A)) S_2))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S)) _let_2)) _let_1)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.cast_list_char C Eb)) S)) _let_2)) _let_1)))))) (forall ((H_b $$unsorted) (Hb $$unsorted)) (=> (tptp.hBOOL (tptp.preallocated Hb)) (=> (tptp.hBOOL (tptp.hext Hb H_b)) (tptp.hBOOL (tptp.preallocated H_b))))) (forall ((C $$unsorted) (D $$unsorted) (Fs $$unsorted) (Pa $$unsorted) (Eb $$unsorted) (S_0 $$unsorted) (A $$unsorted) (Hb $$unsorted) (Lb $$unsorted)) (let ((_let_1 (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb) Lb))) (let ((_let_2 (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.addr A)))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb S_0) _let_2) _let_1)) (=> (= (tptp.hAPP_n546249108on_val Hb A) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val D) Fs))) (=> (tptp.hBOOL (tptp.hAPP_f2106398425l_bool (tptp.hAPP_P1180869721l_bool tptp.member1251428284t_char (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char D) C)) (tptp.transi1395422419t_char (tptp.subcls851966956t_char Pa)))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.cast_list_char C Eb) S_0) _let_2) _let_1)))))))) (forall ((C $$unsorted) (Pa $$unsorted) (S $$unsorted) (A $$unsorted) (D $$unsorted) (Fs $$unsorted)) (let ((_let_1 (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.addr A)))) (=> (= (tptp.hAPP_n546249108on_val (tptp.hp S) A) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val D) Fs))) (=> (tptp.hBOOL (tptp.hAPP_f2106398425l_bool (tptp.hAPP_P1180869721l_bool tptp.member1251428284t_char (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char D) C)) (tptp.transi1395422419t_char (tptp.subcls851966956t_char Pa)))) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.cast_list_char C _let_1)) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val _let_1) S))) (tptp.red Pa))))))) (forall ((Pa $$unsorted) (Hb $$unsorted) (Ea $$unsorted) (E_1_1 $$unsorted) (C $$unsorted) (Va_1 $$unsorted) (E_2 $$unsorted) (Ta $$unsorted)) (=> (tptp.hBOOL (tptp.wTrt_1 Pa Hb Ea (tptp.tryCatch_list_char E_1_1 C Va_1 E_2) Ta)) (not (forall ((T_1_2 $$unsorted)) (=> (tptp.hBOOL (tptp.wTrt_1 Pa Hb Ea E_1_1 T_1_2)) (=> (tptp.hBOOL (tptp.wTrt_1 Pa Hb (tptp.fun_up424764369ion_ty Ea Va_1 (tptp.hAPP_ty_option_ty tptp.some_ty (tptp.hAPP_list_char_ty tptp.class C))) E_2 Ta)) (not (tptp.hBOOL (tptp.hAPP_ty_bool (tptp.hAPP_ty_fun_ty_bool (tptp.widen_2090681816t_char Pa) T_1_2) Ta))))))))) (forall ((Pa $$unsorted) (Hb $$unsorted) (Ea $$unsorted) (Eb $$unsorted) (C $$unsorted)) (=> (tptp.hBOOL (tptp.wTrt_1 Pa Hb Ea Eb (tptp.hAPP_list_char_ty tptp.class C))) (=> (tptp.hBOOL (tptp.final_list_char Eb)) (=> (forall ((A_1 $$unsorted)) (not (= Eb (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.addr A_1))))) (not (forall ((A_1 $$unsorted)) (not (= Eb (tptp.throw_list_char (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.addr A_1))))))))))) (forall ((Bop $$unsorted) (Va $$unsorted) (E_2 $$unsorted) (V_2_1 $$unsorted) (S_2_1 $$unsorted) (E_1_1 $$unsorted) (S_0 $$unsorted) (V_1_2 $$unsorted) (S_1 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_1_1) S_0)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.hAPP_v834067052t_char tptp.val_list_char V_1_2)) S_1))) _let_1)) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_2) S_1)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.hAPP_v834067052t_char tptp.val_list_char V_2_1)) S_2_1))) _let_1)) (=> (= (tptp.binop (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val Bop) (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val V_1_2) V_2_1))) (tptp.hAPP_val_option_val tptp.some_val Va)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.binOp_list_char E_1_1 Bop E_2)) S_0)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.hAPP_v834067052t_char tptp.val_list_char Va)) S_2_1))) _let_1))))))) (forall ((C $$unsorted) (D $$unsorted) (Fs $$unsorted) (Eb $$unsorted) (S $$unsorted) (A $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.addr A))) S_2))) _let_1)) (=> (= (tptp.hAPP_n546249108on_val (tptp.hp S_2) A) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val D) Fs))) (=> (not (tptp.hBOOL (tptp.hAPP_f2106398425l_bool (tptp.hAPP_P1180869721l_bool tptp.member1251428284t_char (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char D) C)) (tptp.transi1395422419t_char (tptp.subcls851966956t_char Pa))))) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.cast_list_char C Eb)) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.throw_list_char (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.addr (tptp.addr_of_sys_xcpt tptp.classCast))))) S_2))) _let_1))))))) (forall ((Bop $$unsorted) (Va $$unsorted) (E_2 $$unsorted) (V_2_1 $$unsorted) (S_2_1 $$unsorted) (Pa $$unsorted) (E_1_1 $$unsorted) (S_0 $$unsorted) (V_1_2 $$unsorted) (S_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa E_1_1 S_0) (tptp.hAPP_v834067052t_char tptp.val_list_char V_1_2)) S_1)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa E_2 S_1) (tptp.hAPP_v834067052t_char tptp.val_list_char V_2_1)) S_2_1)) (=> (= (tptp.binop (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val Bop) (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val V_1_2) V_2_1))) (tptp.hAPP_val_option_val tptp.some_val Va)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.binOp_list_char E_1_1 Bop E_2) S_0) (tptp.hAPP_v834067052t_char tptp.val_list_char Va)) S_2_1)))))) (forall ((Pa $$unsorted) (S $$unsorted) (Bop $$unsorted) (V_1_2 $$unsorted) (V_2_1 $$unsorted) (Va $$unsorted)) (=> (= (tptp.binop (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val Bop) (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val V_1_2) V_2_1))) (tptp.hAPP_val_option_val tptp.some_val Va)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.binOp_list_char (tptp.hAPP_v834067052t_char tptp.val_list_char V_1_2) Bop (tptp.hAPP_v834067052t_char tptp.val_list_char V_2_1)) S) (tptp.hAPP_v834067052t_char tptp.val_list_char Va)) S)))) (forall ((C $$unsorted) (D $$unsorted) (Fs $$unsorted) (Pa $$unsorted) (Eb $$unsorted) (S_0 $$unsorted) (A $$unsorted) (Hb $$unsorted) (Lb $$unsorted)) (let ((_let_1 (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb) Lb))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb S_0) (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.addr A))) _let_1)) (=> (= (tptp.hAPP_n546249108on_val Hb A) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val D) Fs))) (=> (not (tptp.hBOOL (tptp.hAPP_f2106398425l_bool (tptp.hAPP_P1180869721l_bool tptp.member1251428284t_char (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char D) C)) (tptp.transi1395422419t_char (tptp.subcls851966956t_char Pa))))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.cast_list_char C Eb) S_0) (tptp.throw_list_char (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.addr (tptp.addr_of_sys_xcpt tptp.classCast))))) _let_1))))))) (forall ((C $$unsorted) (Pa $$unsorted) (S $$unsorted) (A $$unsorted) (D $$unsorted) (Fs $$unsorted)) (=> (= (tptp.hAPP_n546249108on_val (tptp.hp S) A) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val D) Fs))) (=> (not (tptp.hBOOL (tptp.hAPP_f2106398425l_bool (tptp.hAPP_P1180869721l_bool tptp.member1251428284t_char (tptp.hAPP_l2100324114t_char (tptp.hAPP_l208357873t_char tptp.produc5062597t_char D) C)) (tptp.transi1395422419t_char (tptp.subcls851966956t_char Pa))))) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.cast_list_char C (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.addr A)))) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.throw_list_char (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.addr (tptp.addr_of_sys_xcpt tptp.classCast))))) S))) (tptp.red Pa)))))) (forall ((S $$unsorted) (Pa $$unsorted) (Bop $$unsorted) (V_1_2 $$unsorted) (V_2_1 $$unsorted) (Va $$unsorted)) (=> (= (tptp.binop (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val Bop) (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val V_1_2) V_2_1))) (tptp.hAPP_val_option_val tptp.some_val Va)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.binOp_list_char (tptp.hAPP_v834067052t_char tptp.val_list_char V_1_2) Bop (tptp.hAPP_v834067052t_char tptp.val_list_char V_2_1))) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.hAPP_v834067052t_char tptp.val_list_char Va)) S))) (tptp.red Pa))))) (forall ((Pa $$unsorted) (E_1_1 $$unsorted) (Bop $$unsorted) (E_2 $$unsorted) (S $$unsorted) (E_b $$unsorted) (S_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.binOp_list_char E_1_1 Bop E_2) S) E_b) S_2)) (=> (forall ((V_1_1 $$unsorted) (S_1_1 $$unsorted) (V_2_3 $$unsorted) (V_2 $$unsorted)) (=> (= E_b (tptp.hAPP_v834067052t_char tptp.val_list_char V_2)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa E_1_1 S) (tptp.hAPP_v834067052t_char tptp.val_list_char V_1_1)) S_1_1)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa E_2 S_1_1) (tptp.hAPP_v834067052t_char tptp.val_list_char V_2_3)) S_2)) (not (= (tptp.binop (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val Bop) (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val V_1_1) V_2_3))) (tptp.hAPP_val_option_val tptp.some_val V_2))))))) (=> (forall ((E_4 $$unsorted)) (let ((_let_1 (tptp.throw_list_char E_4))) (=> (= E_b _let_1) (not (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa E_1_1 S) _let_1) S_2)))))) (not (forall ((V_1_1 $$unsorted) (S_1_1 $$unsorted) (E_4 $$unsorted)) (let ((_let_1 (tptp.throw_list_char E_4))) (=> (= E_b _let_1) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa E_1_1 S) (tptp.hAPP_v834067052t_char tptp.val_list_char V_1_1)) S_1_1)) (not (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa E_2 S_1_1) _let_1) S_2)))))))))))) (forall ((V_1_3 $$unsorted)) (= (tptp.binop (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val tptp.add) (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val V_1_3) tptp.unit))) tptp.none_val)) (forall ((V_2_2 $$unsorted)) (= (tptp.binop (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val tptp.add) (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val tptp.unit) V_2_2))) tptp.none_val)) (forall ((Hb $$unsorted)) (=> (tptp.hBOOL (tptp.preallocated Hb)) (= (tptp.hAPP_val_option_ty (tptp.typeof_h Hb) (tptp.addr (tptp.addr_of_sys_xcpt tptp.classCast))) (tptp.hAPP_ty_option_ty tptp.some_ty (tptp.hAPP_list_char_ty tptp.class tptp.classCast))))) (forall ((Pa $$unsorted) (Ea $$unsorted) (Hb $$unsorted) (Va $$unsorted) (Ta $$unsorted)) (=> (= (tptp.hAPP_val_option_ty (tptp.typeof_h Hb) Va) (tptp.hAPP_ty_option_ty tptp.some_ty Ta)) (tptp.hBOOL (tptp.wTrt_1 Pa Hb Ea (tptp.hAPP_v834067052t_char tptp.val_list_char Va) Ta)))) (forall ((Va $$unsorted) (Ta $$unsorted) (Hb $$unsorted) (H_b $$unsorted)) (let ((_let_1 (tptp.hAPP_ty_option_ty tptp.some_ty Ta))) (=> (tptp.hBOOL (tptp.hext Hb H_b)) (=> (= (tptp.hAPP_val_option_ty (tptp.typeof_h Hb) Va) _let_1) (= (tptp.hAPP_val_option_ty (tptp.typeof_h H_b) Va) _let_1))))) (forall ((Hb $$unsorted) (Va $$unsorted) (Ta $$unsorted)) (let ((_let_1 (tptp.hAPP_ty_option_ty tptp.some_ty Ta))) (=> (= (tptp.hAPP_val_option_ty (tptp.typeof_h (tptp.hAPP_o1576581476on_val tptp.cOMBK_1944287343al_nat tptp.none_P179726773on_val)) Va) _let_1) (= (tptp.hAPP_val_option_ty (tptp.typeof_h Hb) Va) _let_1)))) (forall ((Hb $$unsorted)) (= (tptp.hAPP_val_option_ty (tptp.typeof_h Hb) tptp.unit) (tptp.hAPP_ty_option_ty tptp.some_ty tptp.void))) (forall ((V $$unsorted) (V_2_2 $$unsorted)) (= (tptp.binop (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val tptp.add) (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val (tptp.addr V)) V_2_2))) tptp.none_val)) (forall ((V_1_3 $$unsorted) (V $$unsorted)) (= (tptp.binop (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val tptp.add) (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val V_1_3) (tptp.addr V)))) tptp.none_val)) (forall ((Hb $$unsorted)) (=> (tptp.hBOOL (tptp.preallocated Hb)) (= (tptp.hAPP_val_option_ty (tptp.typeof_h Hb) (tptp.addr (tptp.addr_of_sys_xcpt tptp.outOfMemory))) (tptp.hAPP_ty_option_ty tptp.some_ty (tptp.hAPP_list_char_ty tptp.class tptp.outOfMemory))))) (forall ((Hb $$unsorted)) (=> (tptp.hBOOL (tptp.preallocated Hb)) (= (tptp.hAPP_val_option_ty (tptp.typeof_h Hb) (tptp.addr (tptp.addr_of_sys_xcpt tptp.nullPointer))) (tptp.hAPP_ty_option_ty tptp.some_ty (tptp.hAPP_list_char_ty tptp.class tptp.nullPointer))))) (forall ((Hb $$unsorted) (A $$unsorted)) (= (tptp.hAPP_val_option_ty (tptp.typeof_h Hb) (tptp.addr A)) (tptp.option1388193227on_val tptp.none_ty (tptp.hAPP_f46308763ion_ty tptp.produc907433735ion_ty (tptp.hAPP_f451501457ion_ty (tptp.hAPP_f509342689ion_ty tptp.cOMBB_352765746t_char tptp.cOMBK_184479553on_val) (tptp.hAPP_f359949478ion_ty (tptp.hAPP_f1243585741ion_ty tptp.cOMBB_1888336841t_char tptp.some_ty) tptp.class))) (tptp.hAPP_n546249108on_val Hb A)))) (forall ((Ea $$unsorted) (Va_1 $$unsorted) (E_2 $$unsorted) (T_2_2 $$unsorted) (Pa $$unsorted) (Ta $$unsorted) (Hb $$unsorted) (Va $$unsorted) (T_1_1 $$unsorted)) (=> (= (tptp.hAPP_val_option_ty (tptp.typeof_h Hb) Va) (tptp.hAPP_ty_option_ty tptp.some_ty T_1_1)) (=> (tptp.hBOOL (tptp.hAPP_ty_bool (tptp.hAPP_ty_fun_ty_bool (tptp.widen_2090681816t_char Pa) T_1_1) Ta)) (=> (tptp.hBOOL (tptp.wTrt Pa Hb (tptp.fun_up424764369ion_ty Ea Va_1 (tptp.hAPP_ty_option_ty tptp.some_ty Ta)) E_2 T_2_2)) (tptp.hBOOL (tptp.wTrt Pa Hb Ea (tptp.block_list_char Va_1 Ta (tptp.seq_list_char (tptp.lAss_list_char Va_1 (tptp.hAPP_v834067052t_char tptp.val_list_char Va)) E_2)) T_2_2)))))) (forall ((Pa $$unsorted) (Ea $$unsorted) (Hb $$unsorted) (Va $$unsorted) (Ta $$unsorted)) (=> (= (tptp.hAPP_val_option_ty (tptp.typeof_h Hb) Va) (tptp.hAPP_ty_option_ty tptp.some_ty Ta)) (tptp.hBOOL (tptp.wTrt Pa Hb Ea (tptp.hAPP_v834067052t_char tptp.val_list_char Va) Ta)))) (forall ((E_2 $$unsorted) (T_2_2 $$unsorted) (Pa $$unsorted) (Hb $$unsorted) (Ea $$unsorted) (E_1_1 $$unsorted) (T_1_1 $$unsorted)) (=> (tptp.hBOOL (tptp.wTrt Pa Hb Ea E_1_1 T_1_1)) (=> (tptp.hBOOL (tptp.wTrt Pa Hb Ea E_2 T_2_2)) (tptp.hBOOL (tptp.wTrt Pa Hb Ea (tptp.seq_list_char E_1_1 E_2) T_2_2))))) (forall ((Pa $$unsorted) (Hb $$unsorted) (Ea $$unsorted) (Eb $$unsorted) (Ta $$unsorted)) (=> (tptp.hBOOL (tptp.wTrt_1 Pa Hb Ea Eb Ta)) (tptp.hBOOL (tptp.wTrt Pa Hb Ea Eb Ta)))) (forall ((Pa $$unsorted) (Hb $$unsorted) (Ea $$unsorted) (Eb $$unsorted) (Ta $$unsorted)) (=> (tptp.hBOOL (tptp.wTrt Pa Hb Ea Eb Ta)) (tptp.hBOOL (tptp.wTrt_1 Pa Hb Ea Eb Ta)))) (forall ((Pa $$unsorted) (Hb $$unsorted) (Ea $$unsorted) (Eb $$unsorted) (Ta $$unsorted)) (= (tptp.hBOOL (tptp.wTrt Pa Hb Ea Eb Ta)) (tptp.hBOOL (tptp.wTrt_1 Pa Hb Ea Eb Ta)))) (forall ((Ta $$unsorted) (Pa $$unsorted) (Hb $$unsorted) (Ea $$unsorted) (Eb $$unsorted) (T_r $$unsorted)) (=> (tptp.hBOOL (tptp.wTrt Pa Hb Ea Eb T_r)) (=> (tptp.hBOOL (tptp.is_refT T_r)) (tptp.hBOOL (tptp.wTrt Pa Hb Ea (tptp.throw_list_char Eb) Ta))))) (forall ((F $$unsorted) (Ta $$unsorted) (D $$unsorted) (Pa $$unsorted) (Hb $$unsorted) (Ea $$unsorted) (Eb $$unsorted) (C $$unsorted)) (=> (tptp.hBOOL (tptp.wTrt Pa Hb Ea Eb (tptp.hAPP_list_char_ty tptp.class C))) (=> (tptp.hBOOL (tptp.hAPP_list_char_bool (tptp.has_fi1183600461t_char Pa C F Ta) D)) (tptp.hBOOL (tptp.wTrt Pa Hb Ea (tptp.fAcc_list_char Eb F D) Ta))))) (forall ((Pa $$unsorted) (Hb $$unsorted) (Ea $$unsorted) (Va_1 $$unsorted) (Ta $$unsorted) (Eb $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.wTrt Pa Hb (tptp.fun_up424764369ion_ty Ea Va_1 (tptp.hAPP_ty_option_ty tptp.some_ty Ta)) Eb T_a)) (=> (not (tptp.hBOOL (tptp.assigned Va_1 Eb))) (tptp.hBOOL (tptp.wTrt Pa Hb Ea (tptp.block_list_char Va_1 Ta Eb) T_a))))) (forall ((Va_1 $$unsorted) (C $$unsorted) (E_2 $$unsorted) (T_2_2 $$unsorted) (Pa $$unsorted) (Hb $$unsorted) (Ea $$unsorted) (E_1_1 $$unsorted) (T_1_1 $$unsorted)) (=> (tptp.hBOOL (tptp.wTrt Pa Hb Ea E_1_1 T_1_1)) (=> (tptp.hBOOL (tptp.wTrt Pa Hb (tptp.fun_up424764369ion_ty Ea Va_1 (tptp.hAPP_ty_option_ty tptp.some_ty (tptp.hAPP_list_char_ty tptp.class C))) E_2 T_2_2)) (=> (tptp.hBOOL (tptp.hAPP_ty_bool (tptp.hAPP_ty_fun_ty_bool (tptp.widen_2090681816t_char Pa) T_1_1) T_2_2)) (tptp.hBOOL (tptp.wTrt Pa Hb Ea (tptp.tryCatch_list_char E_1_1 C Va_1 E_2) T_2_2)))))) (forall ((E_2 $$unsorted) (T_2_2 $$unsorted) (F $$unsorted) (Ta $$unsorted) (D $$unsorted) (Pa $$unsorted) (Hb $$unsorted) (Ea $$unsorted) (E_1_1 $$unsorted) (C $$unsorted)) (=> (tptp.hBOOL (tptp.wTrt Pa Hb Ea E_1_1 (tptp.hAPP_list_char_ty tptp.class C))) (=> (tptp.hBOOL (tptp.hAPP_list_char_bool (tptp.has_fi1183600461t_char Pa C F Ta) D)) (=> (tptp.hBOOL (tptp.wTrt Pa Hb Ea E_2 T_2_2)) (=> (tptp.hBOOL (tptp.hAPP_ty_bool (tptp.hAPP_ty_fun_ty_bool (tptp.widen_2090681816t_char Pa) T_2_2) Ta)) (tptp.hBOOL (tptp.wTrt Pa Hb Ea (tptp.fAss_list_char E_1_1 F D E_2) tptp.void))))))) (forall ((F $$unsorted) (D $$unsorted) (Eb $$unsorted) (S $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.hAPP_v834067052t_char tptp.val_list_char tptp.null)) S_2))) _let_1)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.fAcc_list_char Eb F D)) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.throw_list_char (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.addr (tptp.addr_of_sys_xcpt tptp.nullPointer))))) S_2))) _let_1))))) (forall ((F $$unsorted) (D $$unsorted) (E_2 $$unsorted) (Va $$unsorted) (S_2_1 $$unsorted) (E_1_1 $$unsorted) (S_0 $$unsorted) (S_1 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_1_1) S_0)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.hAPP_v834067052t_char tptp.val_list_char tptp.null)) S_1))) _let_1)) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_2) S_1)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.hAPP_v834067052t_char tptp.val_list_char Va)) S_2_1))) _let_1)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.fAss_list_char E_1_1 F D E_2)) S_0)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.throw_list_char (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.addr (tptp.addr_of_sys_xcpt tptp.nullPointer))))) S_2_1))) _let_1)))))) (forall ((F $$unsorted) (D $$unsorted) (S $$unsorted) (Pa $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.fAcc_list_char (tptp.hAPP_v834067052t_char tptp.val_list_char tptp.null) F D)) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.throw_list_char (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.addr (tptp.addr_of_sys_xcpt tptp.nullPointer))))) S))) (tptp.red Pa)))) (not (= tptp.null tptp.unit)) (not (= tptp.unit tptp.null)) (forall ((Nat_1 $$unsorted)) (not (= tptp.null (tptp.addr Nat_1)))) (forall ((Nat_1 $$unsorted)) (not (= (tptp.addr Nat_1) tptp.null))) (forall ((C $$unsorted) (Pa $$unsorted) (Eb $$unsorted) (S_0 $$unsorted) (S_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_v834067052t_char tptp.val_list_char tptp.null))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb S_0) _let_1) S_1)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.cast_list_char C Eb) S_0) _let_1) S_1))))) (forall ((Pa $$unsorted) (C $$unsorted) (S $$unsorted)) (let ((_let_1 (tptp.hAPP_v834067052t_char tptp.val_list_char tptp.null))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.cast_list_char C _let_1) S) _let_1) S)))) (forall ((C $$unsorted) (S $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.hAPP_v834067052t_char tptp.val_list_char tptp.null))) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.cast_list_char C _let_1)) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val _let_1) S))) (tptp.red Pa))))) (forall ((C $$unsorted) (Eb $$unsorted) (S $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (let ((_let_2 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.hAPP_v834067052t_char tptp.val_list_char tptp.null)) S_2))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S)) _let_2)) _let_1)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.cast_list_char C Eb)) S)) _let_2)) _let_1)))))) (forall ((V_1_3 $$unsorted)) (= (tptp.binop (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val tptp.add) (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val V_1_3) tptp.null))) tptp.none_val)) (forall ((V_2_2 $$unsorted)) (= (tptp.binop (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val tptp.add) (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val tptp.null) V_2_2))) tptp.none_val)) (forall ((Pa $$unsorted) (Eb $$unsorted) (S_0 $$unsorted) (S_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb S_0) (tptp.hAPP_v834067052t_char tptp.val_list_char tptp.null)) S_1)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.throw_list_char Eb) S_0) (tptp.throw_list_char (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.addr (tptp.addr_of_sys_xcpt tptp.nullPointer))))) S_1)))) (forall ((Pa $$unsorted) (S $$unsorted)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.throw_list_char (tptp.hAPP_v834067052t_char tptp.val_list_char tptp.null)) S) (tptp.throw_list_char (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.addr (tptp.addr_of_sys_xcpt tptp.nullPointer))))) S))) (forall ((F $$unsorted) (D $$unsorted) (E_2 $$unsorted) (Va $$unsorted) (S_2_1 $$unsorted) (Pa $$unsorted) (E_1_1 $$unsorted) (S_0 $$unsorted) (S_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa E_1_1 S_0) (tptp.hAPP_v834067052t_char tptp.val_list_char tptp.null)) S_1)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa E_2 S_1) (tptp.hAPP_v834067052t_char tptp.val_list_char Va)) S_2_1)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.fAss_list_char E_1_1 F D E_2) S_0) (tptp.throw_list_char (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.addr (tptp.addr_of_sys_xcpt tptp.nullPointer))))) S_2_1))))) (forall ((F $$unsorted) (D $$unsorted) (Pa $$unsorted) (Eb $$unsorted) (S_0 $$unsorted) (S_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb S_0) (tptp.hAPP_v834067052t_char tptp.val_list_char tptp.null)) S_1)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.fAcc_list_char Eb F D) S_0) (tptp.throw_list_char (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.addr (tptp.addr_of_sys_xcpt tptp.nullPointer))))) S_1)))) (forall ((Pa $$unsorted) (F $$unsorted) (D $$unsorted) (Va $$unsorted) (S $$unsorted)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.fAss_list_char (tptp.hAPP_v834067052t_char tptp.val_list_char tptp.null) F D (tptp.hAPP_v834067052t_char tptp.val_list_char Va)) S) (tptp.throw_list_char (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.addr (tptp.addr_of_sys_xcpt tptp.nullPointer))))) S))) (forall ((Pa $$unsorted) (F $$unsorted) (D $$unsorted) (S $$unsorted)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.fAcc_list_char (tptp.hAPP_v834067052t_char tptp.val_list_char tptp.null) F D) S) (tptp.throw_list_char (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.addr (tptp.addr_of_sys_xcpt tptp.nullPointer))))) S))) (forall ((S $$unsorted) (Pa $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.throw_list_char (tptp.hAPP_v834067052t_char tptp.val_list_char tptp.null))) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.throw_list_char (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.addr (tptp.addr_of_sys_xcpt tptp.nullPointer))))) S))) (tptp.red Pa)))) (forall ((Eb $$unsorted) (S $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.hAPP_v834067052t_char tptp.val_list_char tptp.null)) S_2))) _let_1)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.throw_list_char Eb)) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.throw_list_char (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.addr (tptp.addr_of_sys_xcpt tptp.nullPointer))))) S_2))) _let_1))))) (forall ((F $$unsorted) (D $$unsorted) (Va $$unsorted) (S $$unsorted) (Pa $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.fAss_list_char (tptp.hAPP_v834067052t_char tptp.val_list_char tptp.null) F D (tptp.hAPP_v834067052t_char tptp.val_list_char Va))) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.throw_list_char (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.addr (tptp.addr_of_sys_xcpt tptp.nullPointer))))) S))) (tptp.red Pa)))) (forall ((Pa $$unsorted) (Hb $$unsorted) (Ea $$unsorted) (Eb $$unsorted) (Ta $$unsorted)) (=> (tptp.hBOOL (tptp.wTrt_1 Pa Hb Ea Eb Ta)) (=> (tptp.hBOOL (tptp.is_refT Ta)) (=> (tptp.hBOOL (tptp.final_list_char Eb)) (=> (not (= Eb (tptp.hAPP_v834067052t_char tptp.val_list_char tptp.null))) (=> (=> (exists ((A_1 $$unsorted)) (= Eb (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.addr A_1)))) (forall ((C_1 $$unsorted)) (not (= Ta (tptp.hAPP_list_char_ty tptp.class C_1))))) (not (forall ((A_1 $$unsorted)) (not (= Eb (tptp.throw_list_char (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.addr A_1))))))))))))) (forall ((Pa $$unsorted) (Eb $$unsorted) (S $$unsorted) (E_b $$unsorted) (S_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.throw_list_char Eb) S) E_b) S_2)) (=> (forall ((A_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.addr A_1)))) (=> (= E_b (tptp.throw_list_char _let_1)) (not (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb S) _let_1) S_2)))))) (=> (=> (= E_b (tptp.throw_list_char (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.addr (tptp.addr_of_sys_xcpt tptp.nullPointer))))) (not (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb S) (tptp.hAPP_v834067052t_char tptp.val_list_char tptp.null)) S_2)))) (not (forall ((E_1 $$unsorted)) (let ((_let_1 (tptp.throw_list_char E_1))) (=> (= E_b _let_1) (not (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb S) _let_1) S_2))))))))))) (forall ((Va_1 $$unsorted) (E_2 $$unsorted) (Pa $$unsorted) (C $$unsorted) (S $$unsorted) (A $$unsorted) (D $$unsorted) (Fs $$unsorted)) (let ((_let_1 (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.addr A)))) (=> (= (tptp.hAPP_n546249108on_val (tptp.hp S) A) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val D) Fs))) (=> (tptp.hBOOL (tptp.hAPP_list_char_bool (tptp.hAPP_l1361600383r_bool (tptp.transi1065307915t_char (tptp.subcls744239332t_char Pa)) D) C)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.tryCatch_list_char (tptp.throw_list_char _let_1) C Va_1 E_2) S) (tptp.block_list_char Va_1 (tptp.hAPP_list_char_ty tptp.class C) (tptp.seq_list_char (tptp.lAss_list_char Va_1 _let_1) E_2))) S)))))) (forall ((Pa $$unsorted) (C $$unsorted) (S $$unsorted) (A $$unsorted) (D $$unsorted) (Fs $$unsorted)) (let ((_let_1 (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.addr A)))) (=> (= (tptp.hAPP_n546249108on_val (tptp.hp S) A) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val D) Fs))) (=> (tptp.hBOOL (tptp.hAPP_list_char_bool (tptp.hAPP_l1361600383r_bool (tptp.transi1065307915t_char (tptp.subcls744239332t_char Pa)) D) C)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.cast_list_char C _let_1) S) _let_1) S)))))) (forall ((Va_1 $$unsorted) (E_2 $$unsorted) (Pa $$unsorted) (C $$unsorted) (S $$unsorted) (A $$unsorted) (D $$unsorted) (Fs $$unsorted)) (let ((_let_1 (tptp.throw_list_char (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.addr A))))) (=> (= (tptp.hAPP_n546249108on_val (tptp.hp S) A) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val D) Fs))) (=> (not (tptp.hBOOL (tptp.hAPP_list_char_bool (tptp.hAPP_l1361600383r_bool (tptp.transi1065307915t_char (tptp.subcls744239332t_char Pa)) D) C))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.tryCatch_list_char _let_1 C Va_1 E_2) S) _let_1) S)))))) (forall ((Pa $$unsorted) (C $$unsorted) (S $$unsorted) (A $$unsorted) (D $$unsorted) (Fs $$unsorted)) (=> (= (tptp.hAPP_n546249108on_val (tptp.hp S) A) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val D) Fs))) (=> (not (tptp.hBOOL (tptp.hAPP_list_char_bool (tptp.hAPP_l1361600383r_bool (tptp.transi1065307915t_char (tptp.subcls744239332t_char Pa)) D) C))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.cast_list_char C (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.addr A))) S) (tptp.throw_list_char (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.addr (tptp.addr_of_sys_xcpt tptp.classCast))))) S))))) (forall ((C $$unsorted) (Pa $$unsorted) (Hb $$unsorted) (Ea $$unsorted) (Eb $$unsorted) (Ta $$unsorted)) (=> (tptp.hBOOL (tptp.wTrt_1 Pa Hb Ea Eb Ta)) (=> (tptp.hBOOL (tptp.is_refT Ta)) (=> (tptp.hBOOL (tptp.hAPP_list_char_bool (tptp.is_cla570604648t_char Pa) C)) (tptp.hBOOL (tptp.wTrt_1 Pa Hb Ea (tptp.cast_list_char C Eb) (tptp.hAPP_list_char_ty tptp.class C))))))) (forall ((List $$unsorted)) (not (= (tptp.hAPP_list_char_ty tptp.class List) tptp.void))) (forall ((List $$unsorted)) (not (= tptp.void (tptp.hAPP_list_char_ty tptp.class List)))) (forall ((List_2 $$unsorted) (List_1 $$unsorted)) (= (= (tptp.hAPP_list_char_ty tptp.class List_2) (tptp.hAPP_list_char_ty tptp.class List_1)) (= List_2 List_1))) (forall ((C $$unsorted) (Pa $$unsorted) (Hb $$unsorted) (Ea $$unsorted) (Eb $$unsorted) (Ta $$unsorted)) (=> (tptp.hBOOL (tptp.wTrt Pa Hb Ea Eb Ta)) (=> (tptp.hBOOL (tptp.is_refT Ta)) (=> (tptp.hBOOL (tptp.hAPP_list_char_bool (tptp.is_cla570604648t_char Pa) C)) (tptp.hBOOL (tptp.wTrt Pa Hb Ea (tptp.cast_list_char C Eb) (tptp.hAPP_list_char_ty tptp.class C))))))) (forall ((Pa $$unsorted) (Hb $$unsorted) (Ea $$unsorted) (D $$unsorted) (Eb $$unsorted) (Ta $$unsorted)) (=> (tptp.hBOOL (tptp.wTrt_1 Pa Hb Ea (tptp.cast_list_char D Eb) Ta)) (not (=> (= Ta (tptp.hAPP_list_char_ty tptp.class D)) (forall ((T_4 $$unsorted)) (=> (tptp.hBOOL (tptp.wTrt_1 Pa Hb Ea Eb T_4)) (=> (tptp.hBOOL (tptp.is_refT T_4)) (not (tptp.hBOOL (tptp.hAPP_list_char_bool (tptp.is_cla570604648t_char Pa) D)))))))))) (forall ((Pa $$unsorted) (C $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f986089162l_bool (tptp.hAPP_l1903254203l_bool tptp.member_list_char C) tptp.sys_xcpts)) (=> (tptp.hBOOL (tptp.hAPP_list_char_bool Pa tptp.nullPointer)) (=> (tptp.hBOOL (tptp.hAPP_list_char_bool Pa tptp.outOfMemory)) (=> (tptp.hBOOL (tptp.hAPP_list_char_bool Pa tptp.classCast)) (tptp.hBOOL (tptp.hAPP_list_char_bool Pa C))))))) (forall ((V_1_2 $$unsorted) (Va $$unsorted)) (= (tptp.binop (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val tptp.add) (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val V_1_2) (tptp.bool Va)))) tptp.none_val)) (forall ((Nat $$unsorted) (Bool_1 $$unsorted)) (not (= (tptp.addr Nat) (tptp.bool Bool_1)))) (forall ((Bool_1 $$unsorted) (Nat $$unsorted)) (not (= (tptp.bool Bool_1) (tptp.addr Nat)))) (forall ((Bool_1 $$unsorted) (Bool $$unsorted)) (= (= (tptp.bool Bool_1) (tptp.bool Bool)) (= (tptp.hBOOL Bool_1) (tptp.hBOOL Bool)))) (forall ((Bool $$unsorted)) (not (= tptp.unit (tptp.bool Bool)))) (forall ((Bool $$unsorted)) (not (= (tptp.bool Bool) tptp.unit))) (forall ((Bool $$unsorted)) (not (= tptp.null (tptp.bool Bool)))) (forall ((Bool $$unsorted)) (not (= (tptp.bool Bool) tptp.null))) (forall ((C $$unsorted) (Hb $$unsorted)) (=> (tptp.hBOOL (tptp.preallocated Hb)) (=> (tptp.hBOOL (tptp.hAPP_f986089162l_bool (tptp.hAPP_l1903254203l_bool tptp.member_list_char C) tptp.sys_xcpts)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat (tptp.addr_of_sys_xcpt C)) (tptp.dom_na996029170on_val Hb)))))) (forall ((Va $$unsorted) (V_2_1 $$unsorted)) (= (tptp.binop (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val tptp.add) (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val (tptp.bool Va)) V_2_1))) tptp.none_val)) (forall ((Pa $$unsorted) (C $$unsorted) (Hb $$unsorted)) (=> (tptp.hBOOL (tptp.preallocated Hb)) (=> (tptp.hBOOL (tptp.hAPP_f986089162l_bool (tptp.hAPP_l1903254203l_bool tptp.member_list_char C) tptp.sys_xcpts)) (=> (forall ((Fs_1 $$unsorted)) (=> (= (tptp.hAPP_n546249108on_val Hb (tptp.addr_of_sys_xcpt C)) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val C) Fs_1))) (tptp.hBOOL (tptp.hAPP_list_char_bool (tptp.hAPP_f388705405r_bool Pa Hb) C)))) (tptp.hBOOL (tptp.hAPP_list_char_bool (tptp.hAPP_f388705405r_bool Pa Hb) C)))))) (forall ((C $$unsorted) (Hb $$unsorted)) (=> (tptp.hBOOL (tptp.preallocated Hb)) (=> (tptp.hBOOL (tptp.hAPP_f986089162l_bool (tptp.hAPP_l1903254203l_bool tptp.member_list_char C) tptp.sys_xcpts)) (exists ((Fs_1 $$unsorted)) (= (tptp.hAPP_n546249108on_val Hb (tptp.addr_of_sys_xcpt C)) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val C) Fs_1))))))) (forall ((Hb $$unsorted)) (= (tptp.hBOOL (tptp.preallocated Hb)) (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f986089162l_bool (tptp.hAPP_l1903254203l_bool tptp.member_list_char X_1) tptp.sys_xcpts)) (exists ((Fs_1 $$unsorted)) (= (tptp.hAPP_n546249108on_val Hb (tptp.addr_of_sys_xcpt X_1)) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val X_1) Fs_1)))))))) (forall ((V_1_2 $$unsorted) (V_2_1 $$unsorted)) (= (tptp.binop (tptp.hAPP_P929466802al_val (tptp.hAPP_b1229254591al_val tptp.produc621191550al_val tptp.c_Expr_Obop_OEq) (tptp.hAPP_v852496844al_val (tptp.hAPP_v1519391al_val tptp.product_Pair_val_val V_1_2) V_2_1))) (tptp.hAPP_val_option_val tptp.some_val (tptp.bool (tptp.hAPP_val_bool (tptp.hAPP_v1392248405l_bool tptp.fequal_val V_1_2) V_2_1))))) (forall ((C_2 $$unsorted) (B $$unsorted) (S $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val B) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.bool tptp.fFalse))) S_2))) _let_1)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.while_list_char B C_2)) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.hAPP_v834067052t_char tptp.val_list_char tptp.unit)) S_2))) _let_1))))) (forall ((C_2 $$unsorted) (Pa $$unsorted) (Eb $$unsorted) (S_0 $$unsorted) (E_b $$unsorted) (S_1 $$unsorted)) (let ((_let_1 (tptp.throw_list_char E_b))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb S_0) _let_1) S_1)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.while_list_char Eb C_2) S_0) _let_1) S_1))))) (forall ((Y $$unsorted)) (=> (tptp.is_bop Y) (=> (not (= Y tptp.c_Expr_Obop_OEq)) (= Y tptp.add)))) (not (= tptp.add tptp.c_Expr_Obop_OEq)) (not (= tptp.c_Expr_Obop_OEq tptp.add)) (forall ((B $$unsorted) (Eb $$unsorted)) (= (tptp.fv (tptp.while_list_char B Eb)) (tptp.semila919158006r_bool (tptp.fv B) (tptp.fv Eb)))) (forall ((E_3 $$unsorted) (S_3_1 $$unsorted) (C_2 $$unsorted) (V_1_2 $$unsorted) (S_2_1 $$unsorted) (Pa $$unsorted) (Eb $$unsorted) (S_0 $$unsorted) (S_1 $$unsorted)) (let ((_let_1 (tptp.while_list_char Eb C_2))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb S_0) (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.bool tptp.fTrue))) S_1)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa C_2 S_1) (tptp.hAPP_v834067052t_char tptp.val_list_char V_1_2)) S_2_1)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa _let_1 S_2_1) E_3) S_3_1)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa _let_1 S_0) E_3) S_3_1))))))) (forall ((C_2 $$unsorted) (E_b $$unsorted) (S_2_1 $$unsorted) (Pa $$unsorted) (Eb $$unsorted) (S_0 $$unsorted) (S_1 $$unsorted)) (let ((_let_1 (tptp.throw_list_char E_b))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb S_0) (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.bool tptp.fTrue))) S_1)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa C_2 S_1) _let_1) S_2_1)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.while_list_char Eb C_2) S_0) _let_1) S_2_1)))))) (forall ((C_2 $$unsorted) (Pa $$unsorted) (Eb $$unsorted) (S_0 $$unsorted) (S_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb S_0) (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.bool tptp.fFalse))) S_1)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.while_list_char Eb C_2) S_0) (tptp.hAPP_v834067052t_char tptp.val_list_char tptp.unit)) S_1)))) (forall ((C_2 $$unsorted) (B $$unsorted) (S $$unsorted) (Eb $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (let ((_let_2 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.throw_list_char Eb)) S_2))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val B) S)) _let_2)) _let_1)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.while_list_char B C_2)) S)) _let_2)) _let_1)))))) (forall ((Eb $$unsorted) (S_3_1 $$unsorted) (C_2 $$unsorted) (V_1_2 $$unsorted) (S_2_1 $$unsorted) (B $$unsorted) (S_0 $$unsorted) (S_1 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (let ((_let_2 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S_3_1))) (let ((_let_3 (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.while_list_char B C_2)))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val B) S_0)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.bool tptp.fTrue))) S_1))) _let_1)) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val C_2) S_1)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.hAPP_v834067052t_char tptp.val_list_char V_1_2)) S_2_1))) _let_1)) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val _let_3 S_2_1)) _let_2)) _let_1)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val _let_3 S_0)) _let_2)) _let_1))))))))) (forall ((C_2 $$unsorted) (Eb $$unsorted) (S_2_1 $$unsorted) (B $$unsorted) (S_0 $$unsorted) (S_1 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (let ((_let_2 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.throw_list_char Eb)) S_2_1))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val B) S_0)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.bool tptp.fTrue))) S_1))) _let_1)) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val C_2) S_1)) _let_2)) _let_1)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.while_list_char B C_2)) S_0)) _let_2)) _let_1))))))) (forall ((Pa $$unsorted) (B $$unsorted) (C_2 $$unsorted) (S $$unsorted) (E_b $$unsorted) (S_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.while_list_char B C_2) S) E_b) S_2)) (=> (=> (= E_b (tptp.hAPP_v834067052t_char tptp.val_list_char tptp.unit)) (not (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa B S) (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.bool tptp.fFalse))) S_2)))) (=> (forall ((S_1_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa B S) (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.bool tptp.fTrue))) S_1_1)) (forall ((V_1_1 $$unsorted) (S_2_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa C_2 S_1_1) (tptp.hAPP_v834067052t_char tptp.val_list_char V_1_1)) S_2_2)) (not (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.while_list_char B C_2) S_2_2) E_b) S_2))))))) (=> (forall ((E_1 $$unsorted)) (let ((_let_1 (tptp.throw_list_char E_1))) (=> (= E_b _let_1) (not (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa B S) _let_1) S_2)))))) (not (forall ((S_1_1 $$unsorted) (E_1 $$unsorted)) (let ((_let_1 (tptp.throw_list_char E_1))) (=> (= E_b _let_1) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa B S) (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.bool tptp.fTrue))) S_1_1)) (not (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa C_2 S_1_1) _let_1) S_2))))))))))))) (forall ((B $$unsorted) (C_2 $$unsorted) (S $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.while_list_char B C_2))) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val _let_1) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.cond_list_char B (tptp.seq_list_char C_2 _let_1) (tptp.hAPP_v834067052t_char tptp.val_list_char tptp.unit))) S))) (tptp.red Pa))))) (forall ((E_1_1 $$unsorted) (E_2 $$unsorted) (Pa $$unsorted) (Eb $$unsorted) (S $$unsorted) (E_b $$unsorted) (S_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa Eb S) E_b) S_2)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.cond_list_char Eb E_1_1 E_2) S) (tptp.cond_list_char E_b E_1_1 E_2)) S_2)))) (forall ((E_1_1 $$unsorted) (E_2 $$unsorted) (Pa $$unsorted) (Eb $$unsorted) (S_0 $$unsorted) (E_b $$unsorted) (S_1 $$unsorted)) (let ((_let_1 (tptp.throw_list_char E_b))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb S_0) _let_1) S_1)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.cond_list_char Eb E_1_1 E_2) S_0) _let_1) S_1))))) (forall ((Pa $$unsorted) (Eb $$unsorted) (E_1_1 $$unsorted) (E_2 $$unsorted) (S $$unsorted)) (let ((_let_1 (tptp.throw_list_char Eb))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.cond_list_char _let_1 E_1_1 E_2) S) _let_1) S)))) (forall ((B $$unsorted) (E_1_1 $$unsorted) (E_2 $$unsorted)) (= (tptp.fv (tptp.cond_list_char B E_1_1 E_2)) (tptp.semila919158006r_bool (tptp.semila919158006r_bool (tptp.fv B) (tptp.fv E_1_1)) (tptp.fv E_2)))) (forall ((E_1_1 $$unsorted) (E_2 $$unsorted) (Eb $$unsorted) (S $$unsorted) (E_b $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.red Pa))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) S_2))) _let_1)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.cond_list_char Eb E_1_1 E_2)) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.cond_list_char E_b E_1_1 E_2)) S_2))) _let_1))))) (forall ((E_1_1 $$unsorted) (E_2 $$unsorted) (E_b $$unsorted) (S_2_1 $$unsorted) (Pa $$unsorted) (Eb $$unsorted) (S_0 $$unsorted) (S_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb S_0) (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.bool tptp.fFalse))) S_1)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa E_2 S_1) E_b) S_2_1)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.cond_list_char Eb E_1_1 E_2) S_0) E_b) S_2_1))))) (forall ((E_2 $$unsorted) (E_1_1 $$unsorted) (E_b $$unsorted) (S_2_1 $$unsorted) (Pa $$unsorted) (Eb $$unsorted) (S_0 $$unsorted) (S_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb S_0) (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.bool tptp.fTrue))) S_1)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa E_1_1 S_1) E_b) S_2_1)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.cond_list_char Eb E_1_1 E_2) S_0) E_b) S_2_1))))) (forall ((Pa $$unsorted) (E_1_1 $$unsorted) (E_2 $$unsorted) (S $$unsorted)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.cond_list_char (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.bool tptp.fFalse)) E_1_1 E_2) S) E_2) S))) (forall ((Pa $$unsorted) (E_1_1 $$unsorted) (E_2 $$unsorted) (S $$unsorted)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.cond_list_char (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.bool tptp.fTrue)) E_1_1 E_2) S) E_1_1) S))) (forall ((Eb $$unsorted) (E_1_1 $$unsorted) (E_2 $$unsorted) (S $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.throw_list_char Eb))) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.cond_list_char _let_1 E_1_1 E_2)) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val _let_1) S))) (tptp.red Pa))))) (forall ((E_1_1 $$unsorted) (E_2 $$unsorted) (Eb $$unsorted) (S $$unsorted) (E_b $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) S_2))) _let_1)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.cond_list_char Eb E_1_1 E_2)) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.cond_list_char E_b E_1_1 E_2)) S_2))) _let_1))))) (forall ((E_1_1 $$unsorted) (E_2 $$unsorted) (Eb $$unsorted) (S $$unsorted) (A $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (let ((_let_2 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.throw_list_char A)) S_2))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S)) _let_2)) _let_1)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.cond_list_char Eb E_1_1 E_2)) S)) _let_2)) _let_1)))))) (forall ((E_1_1 $$unsorted) (E_2 $$unsorted) (S $$unsorted) (Pa $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.cond_list_char (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.bool tptp.fTrue)) E_1_1 E_2)) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_1_1) S))) (tptp.red Pa)))) (forall ((E_1_1 $$unsorted) (E_2 $$unsorted) (S $$unsorted) (Pa $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.cond_list_char (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.bool tptp.fFalse)) E_1_1 E_2)) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_2) S))) (tptp.red Pa)))) (forall ((Pa $$unsorted) (B $$unsorted) (C_2 $$unsorted) (S $$unsorted) (E_b $$unsorted) (S_2 $$unsorted)) (let ((_let_1 (tptp.while_list_char B C_2))) (= (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa _let_1 S) E_b) S_2)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.cond_list_char B (tptp.seq_list_char C_2 _let_1) (tptp.hAPP_v834067052t_char tptp.val_list_char tptp.unit)) S) E_b) S_2))))) (forall ((Pa $$unsorted) (B $$unsorted) (C_2 $$unsorted) (S $$unsorted)) (let ((_let_1 (tptp.while_list_char B C_2))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa _let_1 S) (tptp.cond_list_char B (tptp.seq_list_char C_2 _let_1) (tptp.hAPP_v834067052t_char tptp.val_list_char tptp.unit))) S)))) (forall ((E_2 $$unsorted) (E_1_1 $$unsorted) (E_b $$unsorted) (S_2_1 $$unsorted) (Eb $$unsorted) (S_0 $$unsorted) (S_1 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (let ((_let_2 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) S_2_1))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S_0)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.bool tptp.fTrue))) S_1))) _let_1)) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_1_1) S_1)) _let_2)) _let_1)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.cond_list_char Eb E_1_1 E_2)) S_0)) _let_2)) _let_1))))))) (forall ((E_1_1 $$unsorted) (E_2 $$unsorted) (E_b $$unsorted) (S_2_1 $$unsorted) (Eb $$unsorted) (S_0 $$unsorted) (S_1 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (let ((_let_2 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) S_2_1))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S_0)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.bool tptp.fFalse))) S_1))) _let_1)) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_2) S_1)) _let_2)) _let_1)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.cond_list_char Eb E_1_1 E_2)) S_0)) _let_2)) _let_1))))))) (forall ((List $$unsorted)) (not (= tptp.nt (tptp.hAPP_list_char_ty tptp.class List)))) (forall ((List $$unsorted)) (not (= (tptp.hAPP_list_char_ty tptp.class List) tptp.nt))) (not (= tptp.nt tptp.void)) (not (= tptp.void tptp.nt)) (forall ((F $$unsorted) (D $$unsorted) (Ta $$unsorted) (Pa $$unsorted) (Hb $$unsorted) (Ea $$unsorted) (Eb $$unsorted)) (=> (tptp.hBOOL (tptp.wTrt_1 Pa Hb Ea Eb tptp.nt)) (tptp.hBOOL (tptp.wTrt_1 Pa Hb Ea (tptp.fAcc_list_char Eb F D) Ta)))) (forall ((F $$unsorted) (D $$unsorted) (Ta $$unsorted) (Pa $$unsorted) (Hb $$unsorted) (Ea $$unsorted) (Eb $$unsorted)) (=> (tptp.hBOOL (tptp.wTrt Pa Hb Ea Eb tptp.nt)) (tptp.hBOOL (tptp.wTrt Pa Hb Ea (tptp.fAcc_list_char Eb F D) Ta)))) (forall ((Ta $$unsorted)) (= (tptp.hBOOL (tptp.is_refT Ta)) (or (= Ta tptp.nt) (exists ((C_1 $$unsorted)) (= Ta (tptp.hAPP_list_char_ty tptp.class C_1)))))) (forall ((F $$unsorted) (D $$unsorted) (E_2 $$unsorted) (T_2_2 $$unsorted) (Pa $$unsorted) (Hb $$unsorted) (Ea $$unsorted) (E_1_1 $$unsorted)) (=> (tptp.hBOOL (tptp.wTrt_1 Pa Hb Ea E_1_1 tptp.nt)) (=> (tptp.hBOOL (tptp.wTrt_1 Pa Hb Ea E_2 T_2_2)) (tptp.hBOOL (tptp.wTrt_1 Pa Hb Ea (tptp.fAss_list_char E_1_1 F D E_2) tptp.void))))) (forall ((F $$unsorted) (D $$unsorted) (E_2 $$unsorted) (T_2_2 $$unsorted) (Pa $$unsorted) (Hb $$unsorted) (Ea $$unsorted) (E_1_1 $$unsorted)) (=> (tptp.hBOOL (tptp.wTrt Pa Hb Ea E_1_1 tptp.nt)) (=> (tptp.hBOOL (tptp.wTrt Pa Hb Ea E_2 T_2_2)) (tptp.hBOOL (tptp.wTrt Pa Hb Ea (tptp.fAss_list_char E_1_1 F D E_2) tptp.void))))) (forall ((Hb $$unsorted)) (= (tptp.hAPP_val_option_ty (tptp.typeof_h Hb) tptp.null) (tptp.hAPP_ty_option_ty tptp.some_ty tptp.nt))) (forall ((Pa $$unsorted) (Hb $$unsorted) (Ea $$unsorted) (Eb $$unsorted) (F $$unsorted) (D $$unsorted) (Ta $$unsorted)) (=> (tptp.hBOOL (tptp.wTrt_1 Pa Hb Ea (tptp.fAcc_list_char Eb F D) Ta)) (=> (forall ((C_1 $$unsorted)) (=> (tptp.hBOOL (tptp.wTrt_1 Pa Hb Ea Eb (tptp.hAPP_list_char_ty tptp.class C_1))) (not (tptp.hBOOL (tptp.hAPP_list_char_bool (tptp.has_fi1183600461t_char Pa C_1 F Ta) D))))) (tptp.hBOOL (tptp.wTrt_1 Pa Hb Ea Eb tptp.nt))))) (forall ((Pa $$unsorted) (Hb $$unsorted) (Ea $$unsorted) (Eb $$unsorted) (F $$unsorted) (D $$unsorted) (Va $$unsorted) (Ta $$unsorted)) (let ((_let_1 (= Ta tptp.void))) (=> (tptp.hBOOL (tptp.wTrt_1 Pa Hb Ea (tptp.fAss_list_char Eb F D Va) Ta)) (=> (=> _let_1 (forall ((C_1 $$unsorted)) (=> (tptp.hBOOL (tptp.wTrt_1 Pa Hb Ea Eb (tptp.hAPP_list_char_ty tptp.class C_1))) (forall ((T_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_list_char_bool (tptp.has_fi1183600461t_char Pa C_1 F T_4) D)) (forall ((T_2_1 $$unsorted)) (=> (tptp.hBOOL (tptp.wTrt_1 Pa Hb Ea Va T_2_1)) (not (tptp.hBOOL (tptp.hAPP_ty_bool (tptp.hAPP_ty_fun_ty_bool (tptp.widen_2090681816t_char Pa) T_2_1) T_4)))))))))) (not (=> _let_1 (=> (tptp.hBOOL (tptp.wTrt_1 Pa Hb Ea Eb tptp.nt)) (forall ((T_2_1 $$unsorted)) (not (tptp.hBOOL (tptp.wTrt_1 Pa Hb Ea Va T_2_1))))))))))) (forall ((T $$unsorted)) (=> (tptp.hBOOL (tptp.is_refT T)) (=> (not (= T tptp.nt)) (not (forall ((C_1 $$unsorted)) (not (= T (tptp.hAPP_list_char_ty tptp.class C_1)))))))) (forall ((Pa $$unsorted) (Eb $$unsorted) (E_1_1 $$unsorted) (E_2 $$unsorted) (S $$unsorted) (E_b $$unsorted) (S_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.cond_list_char Eb E_1_1 E_2) S) E_b) S_2)) (=> (forall ((S_1_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb S) (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.bool tptp.fTrue))) S_1_1)) (not (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa E_1_1 S_1_1) E_b) S_2))))) (=> (forall ((S_1_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb S) (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.bool tptp.fFalse))) S_1_1)) (not (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa E_2 S_1_1) E_b) S_2))))) (not (forall ((E_1 $$unsorted)) (let ((_let_1 (tptp.throw_list_char E_1))) (=> (= E_b _let_1) (not (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb S) _let_1) S_2))))))))))) (forall ((C $$unsorted) (Lb $$unsorted) (Pa $$unsorted) (Hb $$unsorted)) (let ((_let_1 (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb) Lb))) (=> (= (tptp.new_Addr Hb) tptp.none_nat) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.new_list_char C)) _let_1)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.throw_list_char (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.addr (tptp.addr_of_sys_xcpt tptp.outOfMemory))))) _let_1))) (tptp.red Pa)))))) (forall ((Hb $$unsorted) (Ea $$unsorted) (Pa $$unsorted) (C $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_list_char_bool (tptp.is_cla570604648t_char Pa) C)) (tptp.hBOOL (tptp.wTrt_1 Pa Hb Ea (tptp.new_list_char C) (tptp.hAPP_list_char_ty tptp.class C))))) (forall ((Pa $$unsorted) (Hb $$unsorted) (Ea $$unsorted) (C $$unsorted) (Ta $$unsorted)) (=> (tptp.hBOOL (tptp.wTrt_1 Pa Hb Ea (tptp.new_list_char C) Ta)) (not (=> (= Ta (tptp.hAPP_list_char_ty tptp.class C)) (not (tptp.hBOOL (tptp.hAPP_list_char_bool (tptp.is_cla570604648t_char Pa) C))))))) (forall ((Hb $$unsorted) (A $$unsorted)) (=> (= (tptp.new_Addr Hb) (tptp.hAPP_nat_option_nat tptp.some_nat A)) (= (tptp.hAPP_n546249108on_val Hb A) tptp.none_P179726773on_val))) (forall ((Hb $$unsorted) (Ea $$unsorted) (Pa $$unsorted) (C $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_list_char_bool (tptp.is_cla570604648t_char Pa) C)) (tptp.hBOOL (tptp.wTrt Pa Hb Ea (tptp.new_list_char C) (tptp.hAPP_list_char_ty tptp.class C))))) (forall ((Pa $$unsorted) (C $$unsorted) (Lb $$unsorted) (Hb $$unsorted)) (let ((_let_1 (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb) Lb))) (=> (= (tptp.new_Addr Hb) tptp.none_nat) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.new_list_char C) _let_1) (tptp.throw_list_char (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.addr (tptp.addr_of_sys_xcpt tptp.outOfMemory))))) _let_1))))) (forall ((Pa $$unsorted) (C $$unsorted) (Lb $$unsorted) (Hb $$unsorted)) (let ((_let_1 (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb) Lb))) (=> (= (tptp.new_Addr Hb) tptp.none_nat) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.new_list_char C) _let_1) (tptp.throw_list_char (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.addr (tptp.addr_of_sys_xcpt tptp.outOfMemory))))) _let_1))))) (forall ((Lb $$unsorted) (H_b $$unsorted) (Pa $$unsorted) (C $$unsorted) (FDTs $$unsorted) (Hb $$unsorted) (A $$unsorted)) (=> (= (tptp.new_Addr Hb) (tptp.hAPP_nat_option_nat tptp.some_nat A)) (=> (tptp.hBOOL (tptp.fields1147507508t_char Pa C FDTs)) (=> (= H_b (tptp.fun_up2041264236on_val Hb A (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val C) (tptp.init_fields FDTs))))) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.new_list_char C)) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb) Lb))) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.addr A))) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_b) Lb)))) (tptp.red Pa))))))) (forall ((Lb $$unsorted) (H_b $$unsorted) (Pa $$unsorted) (C $$unsorted) (FDTs $$unsorted) (Hb $$unsorted) (A $$unsorted)) (=> (= (tptp.new_Addr Hb) (tptp.hAPP_nat_option_nat tptp.some_nat A)) (=> (tptp.hBOOL (tptp.fields1147507508t_char Pa C FDTs)) (=> (= H_b (tptp.fun_up2041264236on_val Hb A (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val C) (tptp.init_fields FDTs))))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.new_list_char C) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb) Lb)) (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.addr A))) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_b) Lb))))))) (forall ((Lb $$unsorted) (H_b $$unsorted) (Pa $$unsorted) (C $$unsorted) (FDTs $$unsorted) (Hb $$unsorted) (A $$unsorted)) (=> (= (tptp.new_Addr Hb) (tptp.hAPP_nat_option_nat tptp.some_nat A)) (=> (tptp.hBOOL (tptp.fields1147507508t_char Pa C FDTs)) (=> (= H_b (tptp.fun_up2041264236on_val Hb A (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val C) (tptp.init_fields FDTs))))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.new_list_char C) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb) Lb)) (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.addr A))) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_b) Lb))))))) (forall ((M $$unsorted) (Vs_1 $$unsorted) (S $$unsorted) (Pa $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.call_list_char (tptp.hAPP_v834067052t_char tptp.val_list_char tptp.null) M (tptp.map_va1934808527t_char tptp.val_list_char Vs_1))) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.throw_list_char (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.addr (tptp.addr_of_sys_xcpt tptp.nullPointer))))) S))) (tptp.red Pa)))) (forall ((Pa $$unsorted) (M $$unsorted) (Vs_1 $$unsorted) (S $$unsorted)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.call_list_char (tptp.hAPP_v834067052t_char tptp.val_list_char tptp.null) M (tptp.map_va1934808527t_char tptp.val_list_char Vs_1)) S) (tptp.throw_list_char (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.addr (tptp.addr_of_sys_xcpt tptp.nullPointer))))) S))) (forall ((M $$unsorted) (Ps $$unsorted) (Pa $$unsorted) (Eb $$unsorted) (S_0 $$unsorted) (E_b $$unsorted) (S_1 $$unsorted)) (let ((_let_1 (tptp.throw_list_char E_b))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb S_0) _let_1) S_1)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.call_list_char Eb M Ps) S_0) _let_1) S_1))))) (forall ((M $$unsorted) (Esa $$unsorted) (Pa $$unsorted) (Eb $$unsorted) (S $$unsorted) (E_b $$unsorted) (S_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa Eb S) E_b) S_2)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.call_list_char Eb M Esa) S) (tptp.call_list_char E_b M Esa)) S_2)))) (forall ((Pa $$unsorted) (Eb $$unsorted) (M $$unsorted) (Esa $$unsorted) (S $$unsorted)) (let ((_let_1 (tptp.throw_list_char Eb))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.call_list_char _let_1 M Esa) S) _let_1) S)))) (forall ((M $$unsorted) (Esa $$unsorted) (Eb $$unsorted) (S $$unsorted) (E_b $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.red Pa))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) S_2))) _let_1)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.call_list_char Eb M Esa)) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.call_list_char E_b M Esa)) S_2))) _let_1))))) (forall ((Eb $$unsorted) (M $$unsorted) (Esa $$unsorted) (S $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.throw_list_char Eb))) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.call_list_char _let_1 M Esa)) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val _let_1) S))) (tptp.red Pa))))) (forall ((M $$unsorted) (Esa $$unsorted) (Eb $$unsorted) (S $$unsorted) (E_b $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) S_2))) _let_1)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.call_list_char Eb M Esa)) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.call_list_char E_b M Esa)) S_2))) _let_1))))) (forall ((M $$unsorted) (Esa $$unsorted) (Eb $$unsorted) (S0 $$unsorted) (A $$unsorted) (S_1 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (let ((_let_2 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.throw_list_char A)) S_1))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S0)) _let_2)) _let_1)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.call_list_char Eb M Esa)) S0)) _let_2)) _let_1)))))) (forall ((M $$unsorted) (Esa $$unsorted) (Vs_1 $$unsorted) (S_2_1 $$unsorted) (Eb $$unsorted) (S_0 $$unsorted) (S_1 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S_0)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.hAPP_v834067052t_char tptp.val_list_char tptp.null)) S_1))) _let_1)) (=> (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.hAPP_P126004409l_bool tptp.member875476972on_val (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val Esa) S_1)) (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val (tptp.map_va1934808527t_char tptp.val_list_char Vs_1)) S_2_1))) (tptp.transi374442731on_val (tptp.reds Pa)))) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.call_list_char Eb M Esa)) S_0)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.throw_list_char (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.addr (tptp.addr_of_sys_xcpt tptp.nullPointer))))) S_2_1))) _let_1)))))) (forall ((M $$unsorted) (Ps $$unsorted) (Vs_1 $$unsorted) (S_2_1 $$unsorted) (Pa $$unsorted) (Eb $$unsorted) (S_0 $$unsorted) (S_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb S_0) (tptp.hAPP_v834067052t_char tptp.val_list_char tptp.null)) S_1)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_l146377954l_bool (tptp.evals Pa Ps S_1) (tptp.map_va1934808527t_char tptp.val_list_char Vs_1)) S_2_1)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.call_list_char Eb M Ps) S_0) (tptp.throw_list_char (tptp.hAPP_v834067052t_char tptp.val_list_char (tptp.addr (tptp.addr_of_sys_xcpt tptp.nullPointer))))) S_2_1))))) (forall ((Es_a $$unsorted) (T_3 $$unsorted) (Esa $$unsorted) (T_2 $$unsorted) (Es_1 $$unsorted) (T_1 $$unsorted) (Pa $$unsorted)) (=> (tptp.hBOOL (tptp.wf_pro755087577t_char tptp.wwf_J_mdecl Pa)) (=> (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.hAPP_P126004409l_bool tptp.member875476972on_val (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val Esa) T_2)) (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val Es_1) T_1))) (tptp.reds Pa))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_l146377954l_bool (tptp.evals Pa Es_1 T_1) Es_a) T_3)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_l146377954l_bool (tptp.evals Pa Esa T_2) Es_a) T_3)))))) (forall ((Es_a $$unsorted) (S_2 $$unsorted) (Esa $$unsorted) (S $$unsorted) (Es_1 $$unsorted) (S_3 $$unsorted) (Pa $$unsorted)) (=> (tptp.hBOOL (tptp.wf_pro755087577t_char tptp.wwf_J_mdecl Pa)) (=> (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.hAPP_P126004409l_bool tptp.member875476972on_val (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val Esa) S)) (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val Es_1) S_3))) (tptp.transi374442731on_val (tptp.reds Pa)))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_l146377954l_bool (tptp.evals Pa Es_1 S_3) Es_a) S_2)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_l146377954l_bool (tptp.evals Pa Esa S) Es_a) S_2)))))) (forall ((Esa $$unsorted) (S $$unsorted) (Es_a $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (=> (tptp.hBOOL (tptp.wf_pro755087577t_char tptp.wwf_J_mdecl Pa)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_l146377954l_bool (tptp.evals Pa Esa S) Es_a) S_2)) (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.hAPP_P126004409l_bool tptp.member875476972on_val (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val Esa) S)) (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val Es_a) S_2))) (tptp.transi374442731on_val (tptp.reds Pa))))))) (forall ((Pa $$unsorted) (Esa $$unsorted) (Hb $$unsorted) (Lb $$unsorted) (Es_a $$unsorted) (H_b $$unsorted) (L_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_l146377954l_bool (tptp.evals Pa Esa (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb) Lb)) Es_a) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_b) L_b))) (tptp.hBOOL (tptp.hext Hb H_b)))) (forall ((Esa $$unsorted) (Hb $$unsorted) (Lb $$unsorted) (Es_a $$unsorted) (H_b $$unsorted) (L_b $$unsorted) (Pa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.hAPP_P126004409l_bool tptp.member875476972on_val (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val Esa) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb) Lb))) (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val Es_a) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_b) L_b)))) (tptp.reds Pa))) (tptp.hBOOL (tptp.hext Hb H_b)))) (forall ((Pa $$unsorted) (Esa $$unsorted) (H_0 $$unsorted) (L_0 $$unsorted) (Es_a $$unsorted) (H_1 $$unsorted) (L_1_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_l146377954l_bool (tptp.evals Pa Esa (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_0) L_0)) Es_a) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_1) L_1_1))) (tptp.hBOOL (tptp.hAPP_f986089162l_bool (tptp.ord_le2092826700r_bool (tptp.dom_list_char_val L_0)) (tptp.dom_list_char_val L_1_1))))) (forall ((Va $$unsorted) (M $$unsorted) (Esa $$unsorted) (S $$unsorted) (Es_a $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.hAPP_v834067052t_char tptp.val_list_char Va))) (=> (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.hAPP_P126004409l_bool tptp.member875476972on_val (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val Esa) S)) (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val Es_a) S_2))) (tptp.reds Pa))) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.call_list_char _let_1 M Esa)) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.call_list_char _let_1 M Es_a)) S_2))) (tptp.red Pa)))))) (forall ((Va $$unsorted) (M $$unsorted) (Esa $$unsorted) (S $$unsorted) (Es_a $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.hAPP_v834067052t_char tptp.val_list_char Va))) (=> (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.hAPP_P126004409l_bool tptp.member875476972on_val (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val Esa) S)) (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val Es_a) S_2))) (tptp.transi374442731on_val (tptp.reds Pa)))) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.call_list_char _let_1 M Esa)) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.call_list_char _let_1 M Es_a)) S_2))) (tptp.transi2024712006on_val (tptp.red Pa))))))) (forall ((M $$unsorted) (Esa $$unsorted) (Vs_1_1 $$unsorted) (A $$unsorted) (Es_2 $$unsorted) (S_2_1 $$unsorted) (Eb $$unsorted) (S0 $$unsorted) (Va $$unsorted) (S_1 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (let ((_let_2 (tptp.throw_list_char A))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S0)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.hAPP_v834067052t_char tptp.val_list_char Va)) S_1))) _let_1)) (=> (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.hAPP_P126004409l_bool tptp.member875476972on_val (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val Esa) S_1)) (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val (tptp.append_exp_list_char (tptp.map_va1934808527t_char tptp.val_list_char Vs_1_1) (tptp.cons_exp_list_char _let_2 Es_2))) S_2_1))) (tptp.transi374442731on_val (tptp.reds Pa)))) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.call_list_char Eb M Esa)) S0)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val _let_2) S_2_1))) _let_1))))))) (forall ((Eb $$unsorted) (M $$unsorted) (Esa $$unsorted)) (= (tptp.fv (tptp.call_list_char Eb M Esa)) (tptp.semila919158006r_bool (tptp.fv Eb) (tptp.fvs Esa)))) (forall ((Eb $$unsorted) (Esa $$unsorted)) (= (tptp.fvs (tptp.cons_exp_list_char Eb Esa)) (tptp.semila919158006r_bool (tptp.fv Eb) (tptp.fvs Esa)))) (forall ((Esa $$unsorted) (Es_a $$unsorted) (S_2_1 $$unsorted) (Pa $$unsorted) (Eb $$unsorted) (S_0 $$unsorted) (Va $$unsorted) (S_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_v834067052t_char tptp.val_list_char Va))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb S_0) _let_1) S_1)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_l146377954l_bool (tptp.evals Pa Esa S_1) Es_a) S_2_1)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_l146377954l_bool (tptp.evals Pa (tptp.cons_exp_list_char Eb Esa) S_0) (tptp.cons_exp_list_char _let_1 Es_a)) S_2_1)))))) (forall ((Esa $$unsorted) (Pa $$unsorted) (Eb $$unsorted) (S_0 $$unsorted) (E_b $$unsorted) (S_1 $$unsorted)) (let ((_let_1 (tptp.throw_list_char E_b))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb S_0) _let_1) S_1)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_l146377954l_bool (tptp.evals Pa (tptp.cons_exp_list_char Eb Esa) S_0) (tptp.cons_exp_list_char _let_1 Esa)) S_1))))) (forall ((Va $$unsorted) (Esa $$unsorted) (S $$unsorted) (Es_a $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.reds Pa))) (let ((_let_2 (tptp.hAPP_v834067052t_char tptp.val_list_char Va))) (=> (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.hAPP_P126004409l_bool tptp.member875476972on_val (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val Esa) S)) (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val Es_a) S_2))) _let_1)) (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.hAPP_P126004409l_bool tptp.member875476972on_val (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val (tptp.cons_exp_list_char _let_2 Esa)) S)) (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val (tptp.cons_exp_list_char _let_2 Es_a)) S_2))) _let_1)))))) (forall ((Pa $$unsorted) (Va $$unsorted) (M $$unsorted) (S $$unsorted) (Esa $$unsorted) (Vs_1 $$unsorted) (Eb $$unsorted) (Es_a $$unsorted)) (let ((_let_1 (tptp.throw_list_char Eb))) (=> (= Esa (tptp.append_exp_list_char (tptp.map_va1934808527t_char tptp.val_list_char Vs_1) (tptp.cons_exp_list_char _let_1 Es_a))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.call_list_char (tptp.hAPP_v834067052t_char tptp.val_list_char Va) M Esa) S) _let_1) S))))) (forall ((Vs_1 $$unsorted) (Es_a $$unsorted) (Pa $$unsorted) (X_2 $$unsorted) (S $$unsorted) (E_b $$unsorted) (S_2 $$unsorted)) (let ((_let_1 (tptp.map_va1934808527t_char tptp.val_list_char Vs_1))) (let ((_let_2 (tptp.throw_list_char X_2))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa _let_2 S) E_b) S_2)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_l146377954l_bool (tptp.evals Pa (tptp.append_exp_list_char _let_1 (tptp.cons_exp_list_char _let_2 Es_a)) S) (tptp.append_exp_list_char _let_1 (tptp.cons_exp_list_char E_b Es_a))) S_2)))))) (forall ((Va $$unsorted) (Esa $$unsorted) (S $$unsorted) (Es_a $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi374442731on_val (tptp.reds Pa)))) (let ((_let_2 (tptp.hAPP_v834067052t_char tptp.val_list_char Va))) (=> (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.hAPP_P126004409l_bool tptp.member875476972on_val (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val Esa) S)) (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val Es_a) S_2))) _let_1)) (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.hAPP_P126004409l_bool tptp.member875476972on_val (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val (tptp.cons_exp_list_char _let_2 Esa)) S)) (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val (tptp.cons_exp_list_char _let_2 Es_a)) S_2))) _let_1)))))) (forall ((Esa $$unsorted) (Eb $$unsorted) (S $$unsorted) (E_b $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) S_2))) (tptp.red Pa))) (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.hAPP_P126004409l_bool tptp.member875476972on_val (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val (tptp.cons_exp_list_char Eb Esa)) S)) (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val (tptp.cons_exp_list_char E_b Esa)) S_2))) (tptp.reds Pa))))) (forall ((M $$unsorted) (Esa $$unsorted) (Vs_1 $$unsorted) (Ex $$unsorted) (Es_a $$unsorted) (S_2_1 $$unsorted) (Pa $$unsorted) (Eb $$unsorted) (S_0 $$unsorted) (Va $$unsorted) (S_1 $$unsorted)) (let ((_let_1 (tptp.throw_list_char Ex))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb S_0) (tptp.hAPP_v834067052t_char tptp.val_list_char Va)) S_1)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_l146377954l_bool (tptp.evals Pa Esa S_1) (tptp.append_exp_list_char (tptp.map_va1934808527t_char tptp.val_list_char Vs_1) (tptp.cons_exp_list_char _let_1 Es_a))) S_2_1)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.call_list_char Eb M Esa) S_0) _let_1) S_2_1)))))) (forall ((Va $$unsorted) (M $$unsorted) (S $$unsorted) (Pa $$unsorted) (Esa $$unsorted) (Vs_1 $$unsorted) (Eb $$unsorted) (Es_a $$unsorted)) (let ((_let_1 (tptp.throw_list_char Eb))) (=> (= Esa (tptp.append_exp_list_char (tptp.map_va1934808527t_char tptp.val_list_char Vs_1) (tptp.cons_exp_list_char _let_1 Es_a))) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.call_list_char (tptp.hAPP_v834067052t_char tptp.val_list_char Va) M Esa)) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val _let_1) S))) (tptp.red Pa)))))) (forall ((Esa $$unsorted) (Eb $$unsorted) (S $$unsorted) (E_b $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) S_2))) (tptp.transi2024712006on_val (tptp.red Pa)))) (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.hAPP_P126004409l_bool tptp.member875476972on_val (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val (tptp.cons_exp_list_char Eb Esa)) S)) (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val (tptp.cons_exp_list_char E_b Esa)) S_2))) (tptp.transi374442731on_val (tptp.reds Pa)))))) (forall ((Esa $$unsorted) (Es_a $$unsorted) (S_2_1 $$unsorted) (Eb $$unsorted) (S_0 $$unsorted) (Va $$unsorted) (S_1 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi374442731on_val (tptp.reds Pa)))) (let ((_let_2 (tptp.hAPP_v834067052t_char tptp.val_list_char Va))) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S_0)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val _let_2) S_1))) (tptp.transi2024712006on_val (tptp.red Pa)))) (=> (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.hAPP_P126004409l_bool tptp.member875476972on_val (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val Esa) S_1)) (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val Es_a) S_2_1))) _let_1)) (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.hAPP_P126004409l_bool tptp.member875476972on_val (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val (tptp.cons_exp_list_char Eb Esa)) S_0)) (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val (tptp.cons_exp_list_char _let_2 Es_a)) S_2_1))) _let_1))))))) (forall ((Pa $$unsorted) (Eb $$unsorted) (Esa $$unsorted) (S $$unsorted) (E_b $$unsorted) (S_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_l146377954l_bool (tptp.evals Pa (tptp.cons_exp_list_char Eb Esa) S) E_b) S_2)) (=> (forall ((V_2 $$unsorted) (S_1_1 $$unsorted) (Es $$unsorted)) (let ((_let_1 (tptp.hAPP_v834067052t_char tptp.val_list_char V_2))) (=> (= E_b (tptp.cons_exp_list_char _let_1 Es)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb S) _let_1) S_1_1)) (not (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_l146377954l_bool (tptp.evals Pa Esa S_1_1) Es) S_2))))))) (not (forall ((E_1 $$unsorted)) (let ((_let_1 (tptp.throw_list_char E_1))) (=> (= E_b (tptp.cons_exp_list_char _let_1 Esa)) (not (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb S) _let_1) S_2)))))))))) (forall ((Pa $$unsorted) (Esa $$unsorted) (S $$unsorted) (Es_a $$unsorted) (S_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_l146377954l_bool (tptp.evals Pa Esa S) Es_a) S_2)) (tptp.hBOOL (tptp.finals_list_char Es_a)))) (forall ((Pa $$unsorted) (S $$unsorted) (Esa $$unsorted)) (=> (tptp.hBOOL (tptp.finals_list_char Esa)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_l146377954l_bool (tptp.evals Pa Esa S) Esa) S)))) (forall ((Ea $$unsorted) (Ts $$unsorted) (Esa $$unsorted) (S $$unsorted) (Es_a $$unsorted) (S_2 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.typeSa1700205512_sconf Pa Ea))) (=> (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.hAPP_P126004409l_bool tptp.member875476972on_val (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val Esa) S)) (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val Es_a) S_2))) (tptp.reds Pa))) (=> (tptp.hBOOL (tptp.wTrts_1 Pa (tptp.hp S) Ea Esa Ts)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool _let_1 S)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool _let_1 S_2))))))) (forall ((Esa $$unsorted) (Ts $$unsorted) (Pa $$unsorted) (Hb $$unsorted) (Ea $$unsorted) (Eb $$unsorted) (Ta $$unsorted)) (=> (tptp.hBOOL (tptp.wTrt_1 Pa Hb Ea Eb Ta)) (=> (tptp.hBOOL (tptp.wTrts_1 Pa Hb Ea Esa Ts)) (tptp.hBOOL (tptp.wTrts_1 Pa Hb Ea (tptp.cons_exp_list_char Eb Esa) (tptp.cons_ty Ta Ts)))))) (forall ((H_b $$unsorted) (Pa $$unsorted) (Hb $$unsorted) (Ea $$unsorted) (Esa $$unsorted) (Ts $$unsorted)) (=> (tptp.hBOOL (tptp.wTrts_1 Pa Hb Ea Esa Ts)) (=> (tptp.hBOOL (tptp.hext Hb H_b)) (tptp.hBOOL (tptp.wTrts_1 Pa H_b Ea Esa Ts))))) (forall ((M $$unsorted) (Ta $$unsorted) (Esa $$unsorted) (Ts $$unsorted) (Pa $$unsorted) (Hb $$unsorted) (Ea $$unsorted) (Eb $$unsorted)) (=> (tptp.hBOOL (tptp.wTrt_1 Pa Hb Ea Eb tptp.nt)) (=> (tptp.hBOOL (tptp.wTrts_1 Pa Hb Ea Esa Ts)) (tptp.hBOOL (tptp.wTrt_1 Pa Hb Ea (tptp.call_list_char Eb M Esa) Ta))))) (forall ((Pa $$unsorted) (Hb $$unsorted) (Ea $$unsorted) (Vs_1 $$unsorted) (Ts $$unsorted)) (= (tptp.hBOOL (tptp.wTrts_1 Pa Hb Ea (tptp.map_va1934808527t_char tptp.val_list_char Vs_1) Ts)) (= (tptp.map_val_option_ty (tptp.typeof_h Hb) Vs_1) (tptp.map_ty_option_ty tptp.some_ty Ts)))) (forall ((Ea $$unsorted) (Ts $$unsorted) (Esa $$unsorted) (Hb $$unsorted) (Lb $$unsorted) (Es_a $$unsorted) (H_b $$unsorted) (L_b $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.hconf_97414254t_char Pa))) (=> (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.hAPP_P126004409l_bool tptp.member875476972on_val (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val Esa) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb) Lb))) (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val Es_a) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_b) L_b)))) (tptp.reds Pa))) (=> (tptp.hBOOL (tptp.wTrts_1 Pa Hb Ea Esa Ts)) (=> (tptp.hBOOL (tptp.hAPP_f61040418l_bool _let_1 Hb)) (tptp.hBOOL (tptp.hAPP_f61040418l_bool _let_1 H_b))))))) (forall ((Ea $$unsorted) (Ts $$unsorted) (Esa $$unsorted) (Hb $$unsorted) (Lb $$unsorted) (Es_a $$unsorted) (H_b $$unsorted) (L_b $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.lconf_496643946t_char Pa))) (=> (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.hAPP_P126004409l_bool tptp.member875476972on_val (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val Esa) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb) Lb))) (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val Es_a) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_b) L_b)))) (tptp.reds Pa))) (=> (tptp.hBOOL (tptp.wTrts_1 Pa Hb Ea Esa Ts)) (=> (tptp.hBOOL (tptp.hAPP_f1001225811y_bool (tptp.hAPP_f2060496320y_bool (tptp.hAPP_f1213370163y_bool _let_1 Hb) Lb) Ea)) (tptp.hBOOL (tptp.hAPP_f1001225811y_bool (tptp.hAPP_f2060496320y_bool (tptp.hAPP_f1213370163y_bool _let_1 H_b) L_b) Ea))))))) (forall ((Pa $$unsorted) (X_1 $$unsorted) (Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_l146377954l_bool (tptp.redsp Pa X_1 Xa) Xb) Xc)) (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.hAPP_P126004409l_bool tptp.member875476972on_val (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val X_1) Xa)) (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val Xb) Xc))) (tptp.reds Pa))))) (forall ((V_1 $$unsorted) (Vs_3 $$unsorted) (T $$unsorted) (Ts_3 $$unsorted) (V $$unsorted) (Vs_2 $$unsorted) (E $$unsorted)) (= (tptp.blocks (tptp.hAPP_P767818445t_char (tptp.hAPP_l1873467853t_char tptp.produc921874948t_char (tptp.cons_list_char V_1 Vs_3)) (tptp.hAPP_P1392904962t_char (tptp.hAPP_l14371579t_char tptp.produc1909267824t_char (tptp.cons_ty T Ts_3)) (tptp.hAPP_e1752110927t_char (tptp.hAPP_l1859255743t_char tptp.produc1916172923t_char (tptp.cons_val V Vs_2)) E)))) (tptp.block_list_char V_1 T (tptp.seq_list_char (tptp.lAss_list_char V_1 (tptp.hAPP_v834067052t_char tptp.val_list_char V)) (tptp.blocks (tptp.hAPP_P767818445t_char (tptp.hAPP_l1873467853t_char tptp.produc921874948t_char Vs_3) (tptp.hAPP_P1392904962t_char (tptp.hAPP_l14371579t_char tptp.produc1909267824t_char Ts_3) (tptp.hAPP_e1752110927t_char (tptp.hAPP_l1859255743t_char tptp.produc1916172923t_char Vs_2) E)))))))) (forall ((Va $$unsorted) (Pa $$unsorted) (Esa $$unsorted) (S $$unsorted) (Es_a $$unsorted) (S_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_v834067052t_char tptp.val_list_char Va))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_l146377954l_bool (tptp.redsp Pa Esa S) Es_a) S_2)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_l146377954l_bool (tptp.redsp Pa (tptp.cons_exp_list_char _let_1 Esa) S) (tptp.cons_exp_list_char _let_1 Es_a)) S_2))))) (forall ((Esa $$unsorted) (Pa $$unsorted) (Eb $$unsorted) (S $$unsorted) (E_b $$unsorted) (S_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa Eb S) E_b) S_2)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_l146377954l_bool (tptp.redsp Pa (tptp.cons_exp_list_char Eb Esa) S) (tptp.cons_exp_list_char E_b Esa)) S_2)))) (forall ((Va $$unsorted) (M $$unsorted) (Pa $$unsorted) (Esa $$unsorted) (S $$unsorted) (Es_a $$unsorted) (S_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_v834067052t_char tptp.val_list_char Va))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_l146377954l_bool (tptp.redsp Pa Esa S) Es_a) S_2)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.call_list_char _let_1 M Esa) S) (tptp.call_list_char _let_1 M Es_a)) S_2))))) (forall ((Jmdcl $$unsorted) (C $$unsorted) (D $$unsorted) (Fds $$unsorted) (Mths $$unsorted) (Pa $$unsorted)) (=> (tptp.hBOOL (tptp.wf_pro755087577t_char tptp.wf_J_mdecl Pa)) (=> (tptp.hBOOL (tptp.hAPP_f515912112l_bool (tptp.hAPP_P205570445l_bool tptp.member1467889965t_char (tptp.hAPP_P1224499548t_char (tptp.hAPP_l902950593t_char tptp.produc822965838t_char C) (tptp.hAPP_P1423780764t_char (tptp.hAPP_l309186817t_char tptp.produc1483578759t_char D) (tptp.hAPP_l277216047t_char (tptp.hAPP_l352172327t_char tptp.produc1152259904t_char Fds) Mths)))) (tptp.set_Pr1494163115t_char Pa))) (=> (tptp.hBOOL (tptp.hAPP_f483496539l_bool (tptp.hAPP_P7095645l_bool tptp.member1601084734t_char Jmdcl) (tptp.set_Pr2033386304t_char Mths))) (tptp.hBOOL (tptp.hAPP_P1384137393r_bool (tptp.hAPP_l2054741776r_bool (tptp.hAPP_l2138409430r_bool tptp.wf_J_mdecl Pa) C) Jmdcl)))))) (forall ((Ef $$unsorted) (H_3 $$unsorted) (L_3 $$unsorted) (L_2_1 $$unsorted) (M $$unsorted) (Ts $$unsorted) (Ta $$unsorted) (Pns $$unsorted) (Body $$unsorted) (D $$unsorted) (C $$unsorted) (Fs $$unsorted) (Esa $$unsorted) (Vs_1 $$unsorted) (H_2 $$unsorted) (L_2 $$unsorted) (Eb $$unsorted) (S_0 $$unsorted) (A $$unsorted) (S_1 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (let ((_let_2 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_3))) (let ((_let_3 (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Ef))) (let ((_let_4 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_2))) (let ((_let_5 (tptp.addr A))) (=> (tptp.hBOOL (tptp.wf_pro755087577t_char tptp.wwf_J_mdecl Pa)) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S_0)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.hAPP_v834067052t_char tptp.val_list_char _let_5)) S_1))) _let_1)) (=> (tptp.hBOOL (tptp.hAPP_f458849545l_bool (tptp.hAPP_P126004409l_bool tptp.member875476972on_val (tptp.hAPP_P658340954on_val (tptp.hAPP_P1526035745on_val tptp.produc1611380469on_val (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val Esa) S_1)) (tptp.hAPP_P1963616220on_val (tptp.hAPP_l1275479261on_val tptp.produc379668296on_val (tptp.map_va1934808527t_char tptp.val_list_char Vs_1)) (tptp.hAPP_f1727192346on_val _let_4 L_2)))) (tptp.transi374442731on_val (tptp.reds Pa)))) (=> (= (tptp.hAPP_n546249108on_val H_2 A) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val C) Fs))) (=> (tptp.hBOOL (tptp.hAPP_list_char_bool (tptp.method1809630380t_char Pa C M Ts Ta (tptp.hAPP_e952791821t_char (tptp.hAPP_l796364813t_char tptp.produc1147572817t_char Pns) Body)) D)) (=> (= (tptp.size_size_list_val Vs_1) (tptp.size_s2113983095t_char Pns)) (=> (= L_2_1 (tptp.map_up1085636310ar_val (tptp.fun_up1149430426on_val (tptp.hAPP_o538043682on_val tptp.cOMBK_1097134891t_char tptp.none_val) tptp.this (tptp.hAPP_val_option_val tptp.some_val _let_5)) Pns Vs_1)) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Body) (tptp.hAPP_f1727192346on_val _let_4 L_2_1))) (tptp.hAPP_P604205461on_val _let_3 (tptp.hAPP_f1727192346on_val _let_2 L_3)))) _let_1)) (=> (tptp.hBOOL (tptp.final_list_char Ef)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.call_list_char Eb M Esa)) S_0)) (tptp.hAPP_P604205461on_val _let_3 (tptp.hAPP_f1727192346on_val _let_2 L_2)))) _let_1))))))))))))))))) (forall ((E_b $$unsorted) (H_3 $$unsorted) (L_3 $$unsorted) (L_2_1 $$unsorted) (M $$unsorted) (Ts $$unsorted) (Ta $$unsorted) (Pns $$unsorted) (Body $$unsorted) (D $$unsorted) (C $$unsorted) (Fs $$unsorted) (Ps $$unsorted) (Vs_1 $$unsorted) (H_2 $$unsorted) (L_2 $$unsorted) (Pa $$unsorted) (Eb $$unsorted) (S_0 $$unsorted) (A $$unsorted) (S_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_3))) (let ((_let_2 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_2))) (let ((_let_3 (tptp.addr A))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb S_0) (tptp.hAPP_v834067052t_char tptp.val_list_char _let_3)) S_1)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_l146377954l_bool (tptp.evals Pa Ps S_1) (tptp.map_va1934808527t_char tptp.val_list_char Vs_1)) (tptp.hAPP_f1727192346on_val _let_2 L_2))) (=> (= (tptp.hAPP_n546249108on_val H_2 A) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val C) Fs))) (=> (tptp.hBOOL (tptp.hAPP_list_char_bool (tptp.method1809630380t_char Pa C M Ts Ta (tptp.hAPP_e952791821t_char (tptp.hAPP_l796364813t_char tptp.produc1147572817t_char Pns) Body)) D)) (=> (= (tptp.size_size_list_val Vs_1) (tptp.size_s2113983095t_char Pns)) (=> (= L_2_1 (tptp.map_up1085636310ar_val (tptp.fun_up1149430426on_val (tptp.hAPP_o538043682on_val tptp.cOMBK_1097134891t_char tptp.none_val) tptp.this (tptp.hAPP_val_option_val tptp.some_val _let_3)) Pns Vs_1)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Body (tptp.hAPP_f1727192346on_val _let_2 L_2_1)) E_b) (tptp.hAPP_f1727192346on_val _let_1 L_3))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.call_list_char Eb M Ps) S_0) E_b) (tptp.hAPP_f1727192346on_val _let_1 L_2)))))))))))))) (forall ((Vs_1 $$unsorted) (Pa $$unsorted) (M $$unsorted) (Ts $$unsorted) (Ta $$unsorted) (Pns $$unsorted) (Body $$unsorted) (D $$unsorted) (S $$unsorted) (A $$unsorted) (C $$unsorted) (Fs $$unsorted)) (let ((_let_1 (tptp.addr A))) (let ((_let_2 (tptp.size_s2113983095t_char Pns))) (=> (= (tptp.hAPP_n546249108on_val (tptp.hp S) A) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val C) Fs))) (=> (tptp.hBOOL (tptp.hAPP_list_char_bool (tptp.method1809630380t_char Pa C M Ts Ta (tptp.hAPP_e952791821t_char (tptp.hAPP_l796364813t_char tptp.produc1147572817t_char Pns) Body)) D)) (=> (= (tptp.size_size_list_val Vs_1) _let_2) (=> (= (tptp.size_size_list_ty Ts) _let_2) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.call_list_char (tptp.hAPP_v834067052t_char tptp.val_list_char _let_1) M (tptp.map_va1934808527t_char tptp.val_list_char Vs_1))) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.blocks (tptp.hAPP_P767818445t_char (tptp.hAPP_l1873467853t_char tptp.produc921874948t_char (tptp.cons_list_char tptp.this Pns)) (tptp.hAPP_P1392904962t_char (tptp.hAPP_l14371579t_char tptp.produc1909267824t_char (tptp.cons_ty (tptp.hAPP_list_char_ty tptp.class D) Ts)) (tptp.hAPP_e1752110927t_char (tptp.hAPP_l1859255743t_char tptp.produc1916172923t_char (tptp.cons_val _let_1 Vs_1)) Body))))) S))) (tptp.red Pa)))))))))) (forall ((Vs_1 $$unsorted) (Pa $$unsorted) (M $$unsorted) (Ts $$unsorted) (Ta $$unsorted) (Pns $$unsorted) (Body $$unsorted) (D $$unsorted) (S $$unsorted) (A $$unsorted) (C $$unsorted) (Fs $$unsorted)) (let ((_let_1 (tptp.addr A))) (let ((_let_2 (tptp.size_s2113983095t_char Pns))) (=> (= (tptp.hAPP_n546249108on_val (tptp.hp S) A) (tptp.hAPP_P1510515380on_val tptp.some_P948696889on_val (tptp.hAPP_f900686428on_val (tptp.hAPP_l1786340417on_val tptp.produc823076510on_val C) Fs))) (=> (tptp.hBOOL (tptp.hAPP_list_char_bool (tptp.method1809630380t_char Pa C M Ts Ta (tptp.hAPP_e952791821t_char (tptp.hAPP_l796364813t_char tptp.produc1147572817t_char Pns) Body)) D)) (=> (= (tptp.size_size_list_val Vs_1) _let_2) (=> (= (tptp.size_size_list_ty Ts) _let_2) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.call_list_char (tptp.hAPP_v834067052t_char tptp.val_list_char _let_1) M (tptp.map_va1934808527t_char tptp.val_list_char Vs_1)) S) (tptp.blocks (tptp.hAPP_P767818445t_char (tptp.hAPP_l1873467853t_char tptp.produc921874948t_char (tptp.cons_list_char tptp.this Pns)) (tptp.hAPP_P1392904962t_char (tptp.hAPP_l14371579t_char tptp.produc1909267824t_char (tptp.cons_ty (tptp.hAPP_list_char_ty tptp.class D) Ts)) (tptp.hAPP_e1752110927t_char (tptp.hAPP_l1859255743t_char tptp.produc1916172923t_char (tptp.cons_val _let_1 Vs_1)) Body))))) S))))))))) (forall ((Pa $$unsorted) (Hb $$unsorted) (Ea $$unsorted) (Esa $$unsorted) (Ts $$unsorted)) (=> (tptp.hBOOL (tptp.wTrts_1 Pa Hb Ea Esa Ts)) (= (tptp.size_s1143674878t_char Esa) (tptp.size_size_list_ty Ts)))) (forall ((Hb $$unsorted) (Lb $$unsorted) (Pa $$unsorted) (Eb $$unsorted) (Vs_1 $$unsorted) (Vs $$unsorted) (Ts $$unsorted)) (let ((_let_1 (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb) Lb))) (let ((_let_2 (tptp.size_size_list_ty Ts))) (=> (= (tptp.size_s2113983095t_char Vs) _let_2) (=> (= (tptp.size_size_list_val Vs_1) _let_2) (=> (tptp.hBOOL (tptp.final_list_char Eb)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.blocks (tptp.hAPP_P767818445t_char (tptp.hAPP_l1873467853t_char tptp.produc921874948t_char Vs) (tptp.hAPP_P1392904962t_char (tptp.hAPP_l14371579t_char tptp.produc1909267824t_char Ts) (tptp.hAPP_e1752110927t_char (tptp.hAPP_l1859255743t_char tptp.produc1916172923t_char Vs_1) Eb))))) _let_1)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) _let_1))) (tptp.transi2024712006on_val (tptp.red Pa)))))))))) (forall ((Pa $$unsorted) (Eb $$unsorted) (Hb $$unsorted) (Lb $$unsorted) (E_b $$unsorted) (H_b $$unsorted) (L_b $$unsorted) (Vs_1 $$unsorted) (Ps $$unsorted) (Ts $$unsorted)) (let ((_let_1 (tptp.size_s2113983095t_char Ps))) (=> (= _let_1 (tptp.size_size_list_ty Ts)) (=> (= _let_1 (tptp.size_size_list_val Vs_1)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa (tptp.blocks (tptp.hAPP_P767818445t_char (tptp.hAPP_l1873467853t_char tptp.produc921874948t_char Ps) (tptp.hAPP_P1392904962t_char (tptp.hAPP_l14371579t_char tptp.produc1909267824t_char Ts) (tptp.hAPP_e1752110927t_char (tptp.hAPP_l1859255743t_char tptp.produc1916172923t_char Vs_1) Eb)))) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb) Lb)) E_b) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_b) L_b))) (exists ((L_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.eval Pa Eb (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb) (tptp.map_up1085636310ar_val Lb Ps Vs_1))) E_b) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_b) L_1))))))))) (forall ((Pa $$unsorted) (Hb $$unsorted) (Ea $$unsorted) (Eb $$unsorted) (Ta $$unsorted) (Vs_1 $$unsorted) (Vs $$unsorted) (Ts $$unsorted)) (let ((_let_1 (tptp.size_size_list_ty Ts))) (=> (= (tptp.size_s2113983095t_char Vs) _let_1) (=> (= (tptp.size_size_list_val Vs_1) _let_1) (= (tptp.hBOOL (tptp.wTrt_1 Pa Hb Ea (tptp.blocks (tptp.hAPP_P767818445t_char (tptp.hAPP_l1873467853t_char tptp.produc921874948t_char Vs) (tptp.hAPP_P1392904962t_char (tptp.hAPP_l14371579t_char tptp.produc1909267824t_char Ts) (tptp.hAPP_e1752110927t_char (tptp.hAPP_l1859255743t_char tptp.produc1916172923t_char Vs_1) Eb)))) Ta)) (and (tptp.hBOOL (tptp.wTrt_1 Pa Hb (tptp.map_up891053837har_ty Ea Vs Ts) Eb Ta)) (exists ((Ts_2 $$unsorted)) (and (= (tptp.map_val_option_ty (tptp.typeof_h Hb) Vs_1) (tptp.map_ty_option_ty tptp.some_ty Ts_2)) (tptp.hBOOL (tptp.list_all2_ty_ty (tptp.widen_2090681816t_char Pa) Ts_2 Ts)))))))))) (forall ((Esa $$unsorted) (Ts_1 $$unsorted) (M $$unsorted) (Ts $$unsorted) (Ta $$unsorted) (Pns $$unsorted) (Body $$unsorted) (D $$unsorted) (Pa $$unsorted) (Hb $$unsorted) (Ea $$unsorted) (Eb $$unsorted) (C $$unsorted)) (=> (tptp.hBOOL (tptp.wTrt_1 Pa Hb Ea Eb (tptp.hAPP_list_char_ty tptp.class C))) (=> (tptp.hBOOL (tptp.hAPP_list_char_bool (tptp.method1809630380t_char Pa C M Ts Ta (tptp.hAPP_e952791821t_char (tptp.hAPP_l796364813t_char tptp.produc1147572817t_char Pns) Body)) D)) (=> (tptp.hBOOL (tptp.wTrts_1 Pa Hb Ea Esa Ts_1)) (=> (tptp.hBOOL (tptp.list_all2_ty_ty (tptp.widen_2090681816t_char Pa) Ts_1 Ts)) (tptp.hBOOL (tptp.wTrt_1 Pa Hb Ea (tptp.call_list_char Eb M Esa) Ta))))))) (forall ((Esa $$unsorted) (Ts_1 $$unsorted) (M $$unsorted) (Ts $$unsorted) (Ta $$unsorted) (Pns $$unsorted) (Body $$unsorted) (D $$unsorted) (Pa $$unsorted) (Hb $$unsorted) (Ea $$unsorted) (Eb $$unsorted) (C $$unsorted)) (=> (tptp.hBOOL (tptp.wTrt Pa Hb Ea Eb (tptp.hAPP_list_char_ty tptp.class C))) (=> (tptp.hBOOL (tptp.hAPP_list_char_bool (tptp.method1809630380t_char Pa C M Ts Ta (tptp.hAPP_e952791821t_char (tptp.hAPP_l796364813t_char tptp.produc1147572817t_char Pns) Body)) D)) (=> (tptp.hBOOL (tptp.wTrts Pa Hb Ea Esa Ts_1)) (=> (tptp.hBOOL (tptp.list_all2_ty_ty (tptp.widen_2090681816t_char Pa) Ts_1 Ts)) (tptp.hBOOL (tptp.wTrt Pa Hb Ea (tptp.call_list_char Eb M Esa) Ta))))))) (forall ((Pa $$unsorted) (Hb $$unsorted) (Ea $$unsorted) (Esa $$unsorted) (Ts $$unsorted)) (= (tptp.hBOOL (tptp.wTrts Pa Hb Ea Esa Ts)) (tptp.hBOOL (tptp.wTrts_1 Pa Hb Ea Esa Ts)))) (forall ((Pa $$unsorted) (Hb $$unsorted) (Ea $$unsorted) (Esa $$unsorted) (Ts $$unsorted)) (=> (tptp.hBOOL (tptp.wTrts Pa Hb Ea Esa Ts)) (tptp.hBOOL (tptp.wTrts_1 Pa Hb Ea Esa Ts)))) (forall ((Pa $$unsorted) (Hb $$unsorted) (Ea $$unsorted) (Esa $$unsorted) (Ts $$unsorted)) (=> (tptp.hBOOL (tptp.wTrts_1 Pa Hb Ea Esa Ts)) (tptp.hBOOL (tptp.wTrts Pa Hb Ea Esa Ts)))) (forall ((M $$unsorted) (Ta $$unsorted) (Esa $$unsorted) (Ts $$unsorted) (Pa $$unsorted) (Hb $$unsorted) (Ea $$unsorted) (Eb $$unsorted)) (=> (tptp.hBOOL (tptp.wTrt Pa Hb Ea Eb tptp.nt)) (=> (tptp.hBOOL (tptp.wTrts Pa Hb Ea Esa Ts)) (tptp.hBOOL (tptp.wTrt Pa Hb Ea (tptp.call_list_char Eb M Esa) Ta))))) (forall ((Esa $$unsorted) (Ts $$unsorted) (Pa $$unsorted) (Hb $$unsorted) (Ea $$unsorted) (Eb $$unsorted) (Ta $$unsorted)) (=> (tptp.hBOOL (tptp.wTrt Pa Hb Ea Eb Ta)) (=> (tptp.hBOOL (tptp.wTrts Pa Hb Ea Esa Ts)) (tptp.hBOOL (tptp.wTrts Pa Hb Ea (tptp.cons_exp_list_char Eb Esa) (tptp.cons_ty Ta Ts)))))) (forall ((L $$unsorted) (Eb $$unsorted) (Hb $$unsorted) (Lb $$unsorted) (E_b $$unsorted) (H_b $$unsorted) (L_b $$unsorted) (Pa $$unsorted) (Vs_1 $$unsorted) (Vs $$unsorted) (Ts $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (let ((_let_2 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_b))) (let ((_let_3 (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b))) (let ((_let_4 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb))) (let ((_let_5 (tptp.size_size_list_ty Ts))) (=> (= (tptp.size_s2113983095t_char Vs) _let_5) (=> (= (tptp.size_size_list_val Vs_1) _let_5) (=> (tptp.hBOOL (tptp.distinct_list_char Vs)) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) (tptp.hAPP_f1727192346on_val _let_4 (tptp.map_up1085636310ar_val Lb Vs Vs_1)))) (tptp.hAPP_P604205461on_val _let_3 (tptp.hAPP_f1727192346on_val _let_2 L_b)))) _let_1)) (=> (tptp.hBOOL (tptp.final_list_char E_b)) (=> (= L (tptp.overri2012515291on_val L_b Lb (tptp.set_list_char Vs))) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.blocks (tptp.hAPP_P767818445t_char (tptp.hAPP_l1873467853t_char tptp.produc921874948t_char Vs) (tptp.hAPP_P1392904962t_char (tptp.hAPP_l14371579t_char tptp.produc1909267824t_char Ts) (tptp.hAPP_e1752110927t_char (tptp.hAPP_l1859255743t_char tptp.produc1916172923t_char Vs_1) Eb))))) (tptp.hAPP_f1727192346on_val _let_4 Lb))) (tptp.hAPP_P604205461on_val _let_3 (tptp.hAPP_f1727192346on_val _let_2 L)))) _let_1)))))))))))))) (forall ((Eb $$unsorted) (Hb $$unsorted) (Lb $$unsorted) (E_b $$unsorted) (H_b $$unsorted) (L_b $$unsorted) (Pa $$unsorted) (Vs_1 $$unsorted) (Vs $$unsorted) (Ts $$unsorted)) (let ((_let_1 (tptp.transi2024712006on_val (tptp.red Pa)))) (let ((_let_2 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_b))) (let ((_let_3 (tptp.hAPP_l14371579t_char tptp.produc1909267824t_char Ts))) (let ((_let_4 (tptp.hAPP_l1873467853t_char tptp.produc921874948t_char Vs))) (let ((_let_5 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb))) (let ((_let_6 (tptp.size_size_list_ty Ts))) (=> (= (tptp.size_s2113983095t_char Vs) _let_6) (=> (= (tptp.size_size_list_val Vs_1) _let_6) (=> (tptp.hBOOL (tptp.distinct_list_char Vs)) (=> (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) (tptp.hAPP_f1727192346on_val _let_5 (tptp.map_up1085636310ar_val Lb Vs Vs_1)))) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) (tptp.hAPP_f1727192346on_val _let_2 L_b)))) _let_1)) (tptp.hBOOL (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.blocks (tptp.hAPP_P767818445t_char _let_4 (tptp.hAPP_P1392904962t_char _let_3 (tptp.hAPP_e1752110927t_char (tptp.hAPP_l1859255743t_char tptp.produc1916172923t_char Vs_1) Eb))))) (tptp.hAPP_f1727192346on_val _let_5 Lb))) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.blocks (tptp.hAPP_P767818445t_char _let_4 (tptp.hAPP_P1392904962t_char _let_3 (tptp.hAPP_e1752110927t_char (tptp.hAPP_l1859255743t_char tptp.produc1916172923t_char (tptp.map_list_char_val (tptp.comp_o1129292306t_char tptp.the_val L_b) Vs)) E_b))))) (tptp.hAPP_f1727192346on_val _let_2 (tptp.overri2012515291on_val L_b Lb (tptp.set_list_char Vs)))))) _let_1))))))))))))) (forall ((P $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_bool_bool tptp.fNot P))) (not (tptp.hBOOL P)))) (forall ((P $$unsorted)) (or (tptp.hBOOL P) (tptp.hBOOL (tptp.hAPP_bool_bool tptp.fNot P)))) (tptp.hBOOL tptp.fTrue) (forall ((P $$unsorted)) (=> (tptp.is_bool P) (or (= P tptp.fTrue) (= P tptp.fFalse)))) (forall ((Q $$unsorted) (P $$unsorted)) (or (not (tptp.hBOOL P)) (not (tptp.hBOOL Q)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fconj P) Q)))) (forall ((P $$unsorted) (Q $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fconj P) Q))) (tptp.hBOOL P))) (forall ((P $$unsorted) (Q $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fconj P) Q))) (tptp.hBOOL Q))) (forall ((Q $$unsorted) (P $$unsorted)) (or (not (tptp.hBOOL P)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fdisj P) Q)))) (forall ((P $$unsorted) (Q $$unsorted)) (or (not (tptp.hBOOL Q)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fdisj P) Q)))) (forall ((P $$unsorted) (Q $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fdisj P) Q))) (tptp.hBOOL P) (tptp.hBOOL Q))) (not (tptp.hBOOL tptp.fFalse)) (forall ((P $$unsorted)) (=> (tptp.is_bool P) (or (= P tptp.fTrue) (= P tptp.fFalse)))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_val_bool (tptp.hAPP_v1392248405l_bool tptp.fequal_val X) Y))) (= X Y))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= X Y)) (tptp.hBOOL (tptp.hAPP_val_bool (tptp.hAPP_v1392248405l_bool tptp.fequal_val X) Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_option_val_bool (tptp.hAPP_o586881855l_bool tptp.fequal_option_val X) Y))) (= X Y))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= X Y)) (tptp.hBOOL (tptp.hAPP_option_val_bool (tptp.hAPP_o586881855l_bool tptp.fequal_option_val X) Y)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_nat_bool (tptp.hAPP_f800510211t_bool (tptp.hAPP_f894608603t_bool tptp.cOMBB_bool_bool_nat P) Q) R) (tptp.hAPP_bool_bool P (tptp.hAPP_nat_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_nat_bool (tptp.cOMBS_nat_bool_bool P Q) R) (tptp.hAPP_bool_bool (tptp.hAPP_n1006566506l_bool P R) (tptp.hAPP_nat_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_list_char_bool (tptp.hAPP_f1371002581r_bool (tptp.hAPP_f1861125939r_bool tptp.cOMBB_1091123364t_char P) Q) R) (tptp.hAPP_bool_bool P (tptp.hAPP_list_char_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_list_char_bool (tptp.cOMBS_1502238389l_bool P Q) R) (tptp.hAPP_bool_bool (tptp.hAPP_l2010421276l_bool P R) (tptp.hAPP_list_char_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_nat_bool (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1722879237t_bool tptp.cOMBC_226598744l_bool P) Q) R) (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_n1006566506l_bool (tptp.hAPP_f1146629647l_bool (tptp.hAPP_f1080886329l_bool tptp.cOMBB_1015721476ol_nat P) Q) R) (tptp.hAPP_b589554111l_bool P (tptp.hAPP_nat_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted)) (= (tptp.hAPP_l512744617ion_ty (tptp.hAPP_o1240645474ion_ty tptp.cOMBK_1294242658t_char P) Q) P)) (forall ((P $$unsorted) (Q $$unsorted)) (= (tptp.hAPP_l207779698on_val (tptp.hAPP_o538043682on_val tptp.cOMBK_1097134891t_char P) Q) P)) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_l512744617ion_ty (tptp.hAPP_f359949478ion_ty (tptp.hAPP_f1243585741ion_ty tptp.cOMBB_1888336841t_char P) Q) R) (tptp.hAPP_ty_option_ty P (tptp.hAPP_list_char_ty Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_list_char_bool (tptp.hAPP_o453398608r_bool (tptp.hAPP_f399018025r_bool tptp.cOMBC_442485623l_bool P) Q) R) (tptp.hAPP_option_val_bool (tptp.hAPP_l1646953198l_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_l2010421276l_bool (tptp.hAPP_f1163760061l_bool (tptp.hAPP_f1157863905l_bool tptp.cOMBB_984708934t_char P) Q) R) (tptp.hAPP_b589554111l_bool P (tptp.hAPP_list_char_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_val_bool (tptp.hAPP_f1728541444l_bool (tptp.hAPP_f1764548711l_bool tptp.cOMBC_331963401l_bool P) Q) R) (tptp.hAPP_f2028441009l_bool (tptp.hAPP_v3604996l_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_list_char_bool (tptp.hAPP_f1371002581r_bool (tptp.hAPP_f522372661r_bool tptp.cOMBC_892477410l_bool P) Q) R) (tptp.hAPP_f986089162l_bool (tptp.hAPP_l1903254203l_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P449474095r_bool (tptp.cOMBS_350755140l_bool P Q) R) (tptp.hAPP_bool_bool (tptp.hAPP_P1457625805l_bool P R) (tptp.hAPP_P449474095r_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1033709212l_bool (tptp.hAPP_f1074020887l_bool (tptp.hAPP_f1863694447l_bool tptp.cOMBB_383678192on_val P) Q) R) (tptp.hAPP_bool_bool P (tptp.hAPP_f1033709212l_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted)) (= (tptp.hAPP_P2094403585on_val (tptp.hAPP_o1269033393on_val tptp.cOMBK_1867744698t_char P) Q) P)) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_v1392248405l_bool (tptp.hAPP_f198821591l_bool (tptp.hAPP_f1880802701l_bool tptp.cOMBC_1979963740l_bool P) Q) R) (tptp.hAPP_f1728541444l_bool (tptp.hAPP_v1988122071l_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_l1646953198l_bool (tptp.hAPP_f396807521l_bool (tptp.hAPP_f926979333l_bool tptp.cOMBB_1112666310t_char P) Q) R) (tptp.hAPP_o586881855l_bool P (tptp.hAPP_l207779698on_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P1457625805l_bool (tptp.hAPP_f644972157l_bool (tptp.hAPP_f722872225l_bool tptp.cOMBB_1643767893t_char P) Q) R) (tptp.hAPP_b589554111l_bool P (tptp.hAPP_P449474095r_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_v3604996l_bool (tptp.hAPP_f1394668591l_bool (tptp.hAPP_f183649339l_bool tptp.cOMBB_2078984970ol_val P) Q) R) (tptp.hAPP_P530382601l_bool P (tptp.hAPP_v852496844al_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P929938951l_bool (tptp.hAPP_f1335946228l_bool (tptp.hAPP_f263393637l_bool tptp.cOMBC_813705475l_bool P) Q) R) (tptp.hAPP_f742333458l_bool (tptp.hAPP_P1614880106l_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_list_char_bool (tptp.hAPP_f335969926r_bool (tptp.hAPP_f1367982615r_bool tptp.cOMBC_1603044337l_bool P) Q) R) (tptp.hAPP_f2106398425l_bool (tptp.hAPP_l553007690l_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted)) (= (tptp.hAPP_f652398900ion_ty (tptp.hAPP_o534509643ion_ty tptp.cOMBK_184479553on_val P) Q) P)) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_b97269396l_bool (tptp.hAPP_f257113085l_bool (tptp.hAPP_f1100052969l_bool tptp.cOMBC_199425070l_bool P) Q) R) (tptp.hAPP_f1335946228l_bool (tptp.hAPP_b1257035143l_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1033709212l_bool (tptp.hAPP_f603925568l_bool (tptp.hAPP_f181262431l_bool tptp.cOMBC_832625297y_bool P) Q) R) (tptp.hAPP_f1001225811y_bool (tptp.hAPP_f2060496320y_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_e544220455r_bool (tptp.hAPP_f1724656343r_bool (tptp.hAPP_f388097003r_bool tptp.cOMBC_818212448l_bool P) Q) R) (tptp.hAPP_f1314764175l_bool (tptp.hAPP_e53687815l_bool P R) Q))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_o2007402111l_bool (tptp.hAPP_o1968908095l_bool tptp.fequal1937332960on_val X) Y))) (= X Y))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= X Y)) (tptp.hBOOL (tptp.hAPP_o2007402111l_bool (tptp.hAPP_o1968908095l_bool tptp.fequal1937332960on_val X) Y)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_l1361600383r_bool (tptp.hAPP_f344506159r_bool (tptp.hAPP_f447563647r_bool tptp.cOMBC_389248878r_bool P) Q) R) (tptp.hAPP_f335969926r_bool (tptp.hAPP_l1335043179r_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_v417179479l_bool (tptp.hAPP_f293485653l_bool (tptp.hAPP_f565735867l_bool tptp.cOMBB_815843940ol_val P) Q) R) (tptp.hAPP_f1394668591l_bool P (tptp.hAPP_v1519391al_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P449474095r_bool (tptp.hAPP_f112056853r_bool (tptp.hAPP_f1876889431r_bool tptp.cOMBC_148995234l_bool P) Q) R) (tptp.hAPP_f2106398425l_bool (tptp.hAPP_P1180869721l_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_e544220455r_bool (tptp.hAPP_f1466436665r_bool (tptp.hAPP_f1766231913r_bool tptp.cOMBC_220519196l_bool P) Q) R) (tptp.hAPP_f82569901l_bool (tptp.hAPP_e1303556805l_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted)) (= (tptp.hAPP_n546249108on_val (tptp.hAPP_o1576581476on_val tptp.cOMBK_1944287343al_nat P) Q) P)) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_nat_bool (tptp.hAPP_o1566711458t_bool (tptp.hAPP_f489569861t_bool tptp.cOMBC_229530231l_bool P) Q) R) (tptp.hAPP_o2007402111l_bool (tptp.hAPP_n95946796l_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P1614880106l_bool (tptp.hAPP_f1646911885l_bool (tptp.hAPP_f62511709l_bool tptp.cOMBB_2139740953al_val P) Q) R) (tptp.hAPP_P1653675595l_bool P (tptp.hAPP_P929466802al_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_l1062423959r_bool (tptp.hAPP_f1051205629r_bool (tptp.hAPP_f987862447r_bool tptp.cOMBC_1387630958r_bool P) Q) R) (tptp.hAPP_f1724656343r_bool (tptp.hAPP_l296209613r_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_l2000496933ion_ty (tptp.hAPP_f451501457ion_ty (tptp.hAPP_f509342689ion_ty tptp.cOMBB_352765746t_char P) Q) R) (tptp.hAPP_o534509643ion_ty P (tptp.hAPP_l512744617ion_ty Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_l553007690l_bool (tptp.hAPP_f558380429l_bool (tptp.hAPP_f144783951l_bool tptp.cOMBB_1586673472t_char P) Q) R) (tptp.hAPP_P1180869721l_bool P (tptp.hAPP_l2100324114t_char Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_v1988122071l_bool (tptp.hAPP_f1859053709l_bool (tptp.hAPP_f400269243l_bool tptp.cOMBB_1701031980ol_val P) Q) R) (tptp.hAPP_f1764548711l_bool P (tptp.hAPP_v417179479l_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P1384137393r_bool (tptp.cOMBS_1743887558l_bool P Q) R) (tptp.hAPP_bool_bool (tptp.hAPP_P415257547l_bool P R) (tptp.hAPP_P1384137393r_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_l214204733r_bool (tptp.hAPP_f2091926485r_bool (tptp.hAPP_f1820115955r_bool tptp.cOMBC_790582442r_bool P) Q) R) (tptp.hAPP_f1466436665r_bool (tptp.hAPP_l753659065r_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1145256474l_bool (tptp.hAPP_f1452292669l_bool (tptp.hAPP_f1977633121l_bool tptp.cOMBB_1303934920on_val P) Q) R) (tptp.hAPP_b589554111l_bool P (tptp.hAPP_f61040418l_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P2118621157r_bool (tptp.hAPP_f1298720864r_bool (tptp.hAPP_f225832321r_bool tptp.cOMBC_1365742487l_bool P) Q) R) (tptp.hAPP_f1746574980l_bool (tptp.hAPP_P2028292026l_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P415257547l_bool (tptp.hAPP_f1985672189l_bool (tptp.hAPP_f1169733153l_bool tptp.cOMBB_565990871t_char P) Q) R) (tptp.hAPP_b589554111l_bool P (tptp.hAPP_P1384137393r_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_e53687815l_bool (tptp.hAPP_f361629773l_bool (tptp.hAPP_f1612138403l_bool tptp.cOMBB_961360819t_char P) Q) R) (tptp.hAPP_P845017029l_bool P (tptp.hAPP_e1752110927t_char Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_b406740087l_bool (tptp.hAPP_f866074145l_bool (tptp.hAPP_f877616419l_bool tptp.cOMBB_1458388806ol_bop P) Q) R) (tptp.hAPP_f1646911885l_bool P (tptp.hAPP_b1229254591al_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_l1987619678r_bool (tptp.hAPP_f2071340985r_bool (tptp.hAPP_f133320957r_bool tptp.cOMBC_1127703214r_bool P) Q) R) (tptp.hAPP_f1298720864r_bool (tptp.hAPP_l96108383r_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_e1303556805l_bool (tptp.hAPP_f901718717l_bool (tptp.hAPP_f380623487l_bool tptp.cOMBB_1033145403t_char P) Q) R) (tptp.hAPP_P1293136973l_bool P (tptp.hAPP_e952791821t_char Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_l1425867561l_bool (tptp.hAPP_f1764180741l_bool (tptp.hAPP_f247798919l_bool tptp.cOMBB_526805108t_char P) Q) R) (tptp.hAPP_f558380429l_bool P (tptp.hAPP_l208357873t_char Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f652398900ion_ty (tptp.hAPP_f2110071953ion_ty (tptp.hAPP_f69964139ion_ty tptp.cOMBB_2041093409on_val P) Q) R) (tptp.hAPP_P1228500987ion_ty P (tptp.hAPP_f900686428on_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1715346603l_bool (tptp.hAPP_f1579743228l_bool (tptp.hAPP_f1166017719l_bool tptp.cOMBC_317789649l_bool P) Q) R) (tptp.hAPP_f1134950784l_bool (tptp.hAPP_f749178132l_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_b1257035143l_bool (tptp.hAPP_f2100207721l_bool (tptp.hAPP_f1374595987l_bool tptp.cOMBB_761748254ol_bop P) Q) R) (tptp.hAPP_f263393637l_bool P (tptp.hAPP_b406740087l_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P1907982426r_bool (tptp.hAPP_f1874697593r_bool (tptp.hAPP_f1707979241r_bool tptp.cOMBC_407285762l_bool P) Q) R) (tptp.hAPP_f1780084320l_bool (tptp.hAPP_P1562529797l_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_l1335043179r_bool (tptp.hAPP_f1032444159r_bool (tptp.hAPP_f254182519r_bool tptp.cOMBB_1551681790t_char P) Q) R) (tptp.hAPP_f1367982615r_bool P (tptp.hAPP_l1425867561l_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_l465799708l_bool (tptp.hAPP_f2080627739l_bool (tptp.hAPP_f350189921l_bool tptp.cOMBC_1535683812l_bool P) Q) R) (tptp.hAPP_f1579743228l_bool (tptp.hAPP_l1739862107l_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_l1842007287l_bool (tptp.hAPP_f2118054305l_bool (tptp.hAPP_f1687138147l_bool tptp.cOMBB_2078271971st_val P) Q) R) (tptp.hAPP_f361629773l_bool P (tptp.hAPP_l1859255743t_char Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1175813647l_bool (tptp.hAPP_f550652027l_bool (tptp.hAPP_f838396643l_bool tptp.cOMBC_2027949654l_bool P) Q) R) (tptp.hAPP_f603925568l_bool (tptp.hAPP_f1617787571l_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1033709212l_bool (tptp.hAPP_f1008932791l_bool (tptp.hAPP_f2057883639l_bool tptp.cOMBB_1750801836on_val P) Q) R) (tptp.hAPP_P159683425l_bool P (tptp.hAPP_f1727192346on_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P2028292026l_bool (tptp.hAPP_f921434893l_bool (tptp.hAPP_f693085049l_bool tptp.cOMBB_147773915t_char P) Q) R) (tptp.hAPP_P1198052655l_bool P (tptp.hAPP_P1392904962t_char Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_n95946796l_bool (tptp.hAPP_f1677329295l_bool (tptp.hAPP_f1611569977l_bool tptp.cOMBB_731867268ol_nat P) Q) R) (tptp.hAPP_o1968908095l_bool P (tptp.hAPP_n546249108on_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1175813647l_bool (tptp.hAPP_f555424277l_bool (tptp.hAPP_f1734879897l_bool tptp.cOMBB_1522540928on_val P) Q) R) (tptp.hAPP_f1074020887l_bool P (tptp.hAPP_f1175813647l_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1175813647l_bool (tptp.cOMBS_570216337l_bool P Q) R) (tptp.hAPP_f1074020887l_bool (tptp.hAPP_f1492320500l_bool P R) (tptp.hAPP_f1175813647l_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1033709212l_bool (tptp.hAPP_f33142364l_bool (tptp.hAPP_f510152537l_bool tptp.cOMBC_1518234801l_bool P) Q) R) (tptp.hAPP_f966411375l_bool (tptp.hAPP_f720086610l_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_l217977712r_bool (tptp.hAPP_f1044627221r_bool (tptp.hAPP_f308875635r_bool tptp.cOMBC_1718404842r_bool P) Q) R) (tptp.hAPP_f1874697593r_bool (tptp.hAPP_l1783480313r_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_l296209613r_bool (tptp.hAPP_f1449341487r_bool (tptp.hAPP_f1823921107r_bool tptp.cOMBB_308691073st_val P) Q) R) (tptp.hAPP_f388097003r_bool P (tptp.hAPP_l1842007287l_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P1187139874r_bool (tptp.hAPP_f279818502r_bool (tptp.hAPP_f1419180947r_bool tptp.cOMBC_390659185l_bool P) Q) R) (tptp.hAPP_f483496539l_bool (tptp.hAPP_P1383068750l_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_l551544901l_bool (tptp.hAPP_f165071409l_bool (tptp.hAPP_f1174637065l_bool tptp.cOMBB_33167485t_char P) Q) R) (tptp.hAPP_f901718717l_bool P (tptp.hAPP_l796364813t_char Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P1680401186r_bool (tptp.cOMBS_635570165l_bool P Q) R) (tptp.hAPP_bool_bool (tptp.hAPP_P1552072218l_bool P R) (tptp.hAPP_P1680401186r_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P1552072218l_bool (tptp.hAPP_f561246575l_bool (tptp.hAPP_f321462169l_bool tptp.cOMBB_808210516t_char P) Q) R) (tptp.hAPP_b589554111l_bool P (tptp.hAPP_P1680401186r_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1492320500l_bool (tptp.hAPP_f1523875321l_bool (tptp.hAPP_f592397849l_bool tptp.cOMBB_1718333400on_val P) Q) R) (tptp.hAPP_f1863694447l_bool P (tptp.hAPP_f1145256474l_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_l165010689r_bool (tptp.hAPP_f1209019955r_bool (tptp.hAPP_f521496323r_bool tptp.cOMBC_654453230r_bool P) Q) R) (tptp.hAPP_f279818502r_bool (tptp.hAPP_l2053770731r_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P1384137393r_bool (tptp.hAPP_f1853572245r_bool (tptp.hAPP_f1933376467r_bool tptp.cOMBC_36589090l_bool P) Q) R) (tptp.hAPP_f483496539l_bool (tptp.hAPP_P7095645l_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_l753659065r_bool (tptp.hAPP_f2059406941r_bool (tptp.hAPP_f108089737r_bool tptp.cOMBB_2143526097t_char P) Q) R) (tptp.hAPP_f1766231913r_bool P (tptp.hAPP_l551544901l_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_l2000496933ion_ty (tptp.hAPP_f802560783ion_ty (tptp.hAPP_f7643013ion_ty tptp.cOMBB_864319000t_char P) Q) R) (tptp.hAPP_f2110071953ion_ty P (tptp.hAPP_l1786340417on_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f749178132l_bool (tptp.hAPP_f1099622285l_bool (tptp.hAPP_f919000597l_bool tptp.cOMBB_1153773871on_val P) Q) R) (tptp.hAPP_P1217996045l_bool P (tptp.hAPP_f900686428on_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_l1117138611l_bool (tptp.hAPP_f2047757465l_bool (tptp.hAPP_f466945179l_bool tptp.cOMBB_68065882ist_ty P) Q) R) (tptp.hAPP_f921434893l_bool P (tptp.hAPP_l14371579t_char Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P1562529797l_bool (tptp.hAPP_f1233028029l_bool (tptp.hAPP_f1715733055l_bool tptp.cOMBB_123628846t_char P) Q) R) (tptp.hAPP_P1472618637l_bool P (tptp.hAPP_P767818445t_char Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1617787571l_bool (tptp.hAPP_f857351829l_bool (tptp.hAPP_f348318673l_bool tptp.cOMBB_1518282696on_val P) Q) R) (tptp.hAPP_f181262431l_bool P (tptp.hAPP_f1213370163y_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_l96108383r_bool (tptp.hAPP_f1608277885r_bool (tptp.hAPP_f1134248971r_bool tptp.cOMBB_338473166ist_ty P) Q) R) (tptp.hAPP_f225832321r_bool P (tptp.hAPP_l1117138611l_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_l902158906r_bool (tptp.hAPP_f605643693r_bool (tptp.hAPP_f841257045r_bool tptp.cOMBC_1407716098l_bool P) Q) R) (tptp.hAPP_f1161798306l_bool (tptp.hAPP_l213519975l_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1175813647l_bool (tptp.hAPP_f47713631l_bool (tptp.hAPP_f77033475l_bool tptp.cOMBC_1317565126l_bool P) Q) R) (tptp.hAPP_f33142364l_bool (tptp.hAPP_f893576377l_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P1383068750l_bool (tptp.hAPP_f1239832973l_bool (tptp.hAPP_f1937828171l_bool tptp.cOMBB_1681501894t_char P) Q) R) (tptp.hAPP_P7095645l_bool P (tptp.hAPP_P242904598t_char Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_l24694616r_bool (tptp.hAPP_f306469557r_bool (tptp.hAPP_f197435839r_bool tptp.cOMBC_886773442r_bool P) Q) R) (tptp.hAPP_f605643693r_bool (tptp.hAPP_l1129005983r_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_l2111308793l_bool (tptp.hAPP_f1370205989l_bool (tptp.hAPP_f1406462375l_bool tptp.cOMBB_109816436t_char P) Q) R) (tptp.hAPP_f1099622285l_bool P (tptp.hAPP_l1786340417on_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P159683425l_bool (tptp.hAPP_f1175362209l_bool (tptp.hAPP_f101237475l_bool tptp.cOMBC_1585774710l_bool P) Q) R) (tptp.hAPP_f91506671l_bool (tptp.hAPP_P1609485901l_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1175813647l_bool (tptp.hAPP_f1363667773l_bool (tptp.hAPP_f1050935001l_bool tptp.cOMBB_1153617344on_val P) Q) R) (tptp.hAPP_f1008932791l_bool P (tptp.hAPP_f1849790461on_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P159683425l_bool (tptp.hAPP_f1526206996l_bool (tptp.hAPP_f1467537159l_bool tptp.cOMBC_2141828763l_bool P) Q) R) (tptp.hAPP_f837795298l_bool (tptp.hAPP_P594889876l_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P828904212r_bool (tptp.hAPP_f764724814r_bool (tptp.hAPP_f1410576713r_bool tptp.cOMBC_516637475l_bool P) Q) R) (tptp.hAPP_f2050077417l_bool (tptp.hAPP_P1418247892l_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f720086610l_bool (tptp.hAPP_f292637069l_bool (tptp.hAPP_f1168269397l_bool tptp.cOMBB_1293776864on_val P) Q) R) (tptp.hAPP_P998768845l_bool P (tptp.hAPP_f1727192346on_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_l1739862107l_bool (tptp.hAPP_f1094343359l_bool (tptp.hAPP_f876671127l_bool tptp.cOMBB_1200577438t_char P) Q) R) (tptp.hAPP_f1166017719l_bool P (tptp.hAPP_l2111308793l_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_e1833980889l_bool (tptp.hAPP_f989077673l_bool (tptp.hAPP_f40682957l_bool tptp.cOMBC_562612496l_bool P) Q) R) (tptp.hAPP_f1175362209l_bool (tptp.hAPP_e1705922617l_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P282169671l_bool (tptp.cOMBS_1319864284l_bool P Q) R) (tptp.hAPP_bool_bool (tptp.hAPP_P1402001845l_bool P R) (tptp.hAPP_P282169671l_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_l1342015621r_bool (tptp.hAPP_f719350875r_bool (tptp.hAPP_f2133563379r_bool tptp.cOMBC_1025440566r_bool P) Q) R) (tptp.hAPP_f764724814r_bool (tptp.hAPP_l1988620845r_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_l1571522437l_bool (tptp.hAPP_f1136362289l_bool (tptp.hAPP_f1736484361l_bool tptp.cOMBB_2042763133t_char P) Q) R) (tptp.hAPP_f1233028029l_bool P (tptp.hAPP_l1873467853t_char Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P1402001845l_bool (tptp.hAPP_f379976829l_bool (tptp.hAPP_f606945057l_bool tptp.cOMBB_705522285on_val P) Q) R) (tptp.hAPP_b589554111l_bool P (tptp.hAPP_P282169671l_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_l146377954l_bool (tptp.hAPP_f844901525l_bool (tptp.hAPP_f348508809l_bool tptp.cOMBC_622308798l_bool P) Q) R) (tptp.hAPP_f1526206996l_bool (tptp.hAPP_l177734933l_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P1333315679l_bool (tptp.cOMBS_1218320756l_bool P Q) R) (tptp.hAPP_bool_bool (tptp.hAPP_P895943837l_bool P R) (tptp.hAPP_P1333315679l_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P659547099r_bool (tptp.hAPP_f658521820r_bool (tptp.hAPP_f454222487r_bool tptp.cOMBC_1338332465l_bool P) Q) R) (tptp.hAPP_f515912112l_bool (tptp.hAPP_P780018708l_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P895943837l_bool (tptp.hAPP_f914702973l_bool (tptp.hAPP_f1600936353l_bool tptp.cOMBB_1617503877on_val P) Q) R) (tptp.hAPP_b589554111l_bool P (tptp.hAPP_P1333315679l_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_l1783480313r_bool (tptp.hAPP_f531187933r_bool (tptp.hAPP_f179418505r_bool tptp.cOMBB_550632017t_char P) Q) R) (tptp.hAPP_f1707979241r_bool P (tptp.hAPP_l1571522437l_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_l2140727500r_bool (tptp.hAPP_f2025561243r_bool (tptp.hAPP_f1500560577r_bool tptp.cOMBC_1784597444r_bool P) Q) R) (tptp.hAPP_f658521820r_bool (tptp.hAPP_l923073979r_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P1680401186r_bool (tptp.hAPP_f1666729379r_bool (tptp.hAPP_f1020753317r_bool tptp.cOMBC_1297648632l_bool P) Q) R) (tptp.hAPP_f515912112l_bool (tptp.hAPP_P205570445l_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_l1845912621l_bool (tptp.hAPP_f1868463117l_bool (tptp.hAPP_f1365840271l_bool tptp.cOMBB_1705938036t_char P) Q) R) (tptp.hAPP_f1239832973l_bool P (tptp.hAPP_l1388836853t_char Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_l213519975l_bool (tptp.hAPP_f156692813l_bool (tptp.hAPP_f1847120981l_bool tptp.cOMBB_1035649854t_char P) Q) R) (tptp.hAPP_P1327510541l_bool P (tptp.hAPP_l277216047t_char Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_l2053770731r_bool (tptp.hAPP_f732843907r_bool (tptp.hAPP_f1563448447r_bool tptp.cOMBB_1490692730t_char P) Q) R) (tptp.hAPP_f1419180947r_bool P (tptp.hAPP_l1845912621l_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f613075253l_bool (tptp.hAPP_f1670595613l_bool (tptp.hAPP_f1472899487l_bool tptp.cOMBB_588525814on_val P) Q) R) (tptp.hAPP_f292637069l_bool P (tptp.hAPP_f1849790461on_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P1609485901l_bool (tptp.hAPP_f826324045l_bool (tptp.hAPP_f1639555093l_bool tptp.cOMBB_985659173on_val P) Q) R) (tptp.hAPP_P2015860941l_bool P (tptp.hAPP_P604205461on_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f893576377l_bool (tptp.hAPP_f1250221913l_bool (tptp.hAPP_f1860331535l_bool tptp.cOMBB_2084052674on_val P) Q) R) (tptp.hAPP_f510152537l_bool P (tptp.hAPP_f613075253l_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P1418247892l_bool (tptp.hAPP_f2037329933l_bool (tptp.hAPP_f251669717l_bool tptp.cOMBB_773661144t_char P) Q) R) (tptp.hAPP_P1517699917l_bool P (tptp.hAPP_P1423780764t_char Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P594889876l_bool (tptp.hAPP_f375531599l_bool (tptp.hAPP_f1564338425l_bool tptp.cOMBB_1078680455on_val P) Q) R) (tptp.hAPP_P483670507l_bool P (tptp.hAPP_P1963616220on_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P1708370145l_bool (tptp.hAPP_f973018659l_bool (tptp.hAPP_f961387813l_bool tptp.cOMBC_1608987946l_bool P) Q) R) (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P638161699l_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P71593144l_bool (tptp.hAPP_f1317381998l_bool (tptp.hAPP_f1734997943l_bool tptp.cOMBC_1491642377l_bool P) Q) R) (tptp.hAPP_f458849545l_bool (tptp.hAPP_P88824722l_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P780018708l_bool (tptp.hAPP_f1107475085l_bool (tptp.hAPP_f937861397l_bool tptp.cOMBB_1520154591t_char P) Q) R) (tptp.hAPP_P205570445l_bool P (tptp.hAPP_P1224499548t_char Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_l1536299231l_bool (tptp.hAPP_f935003377l_bool (tptp.hAPP_f162154931l_bool tptp.cOMBB_859890145har_ty P) Q) R) (tptp.hAPP_f156692813l_bool P (tptp.hAPP_l352172327t_char Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_l1129005983r_bool (tptp.hAPP_f1749915625r_bool (tptp.hAPP_f842743203r_bool tptp.cOMBB_657296617har_ty P) Q) R) (tptp.hAPP_f841257045r_bool P (tptp.hAPP_l1536299231l_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_e286792811l_bool (tptp.hAPP_f1614195593l_bool (tptp.hAPP_f705562443l_bool tptp.cOMBB_507006011t_char P) Q) R) (tptp.hAPP_f826324045l_bool P (tptp.hAPP_e1659493427on_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_l810309945l_bool (tptp.hAPP_f1817350437l_bool (tptp.hAPP_f614662951l_bool tptp.cOMBB_1558246132t_char P) Q) R) (tptp.hAPP_f2037329933l_bool P (tptp.hAPP_l309186817t_char Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_e1705922617l_bool (tptp.hAPP_f1475571983l_bool (tptp.hAPP_f1946480059l_bool tptp.cOMBB_673739729t_char P) Q) R) (tptp.hAPP_f101237475l_bool P (tptp.hAPP_e286792811l_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_l232580245l_bool (tptp.hAPP_f1752856401l_bool (tptp.hAPP_f552300311l_bool tptp.cOMBB_1270208498t_char P) Q) R) (tptp.hAPP_f375531599l_bool P (tptp.hAPP_l1275479261on_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P1116729363l_bool (tptp.hAPP_f1200025813l_bool (tptp.hAPP_f1089788553l_bool tptp.cOMBC_967917532l_bool P) Q) R) (tptp.hAPP_f973018659l_bool (tptp.hAPP_P609938901l_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P282169671l_bool (tptp.hAPP_f2036784149l_bool (tptp.hAPP_f1720452391l_bool tptp.cOMBC_1021753250l_bool P) Q) R) (tptp.hAPP_f1453283057l_bool (tptp.hAPP_P1303341961l_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_l1988620845r_bool (tptp.hAPP_f1957374161r_bool (tptp.hAPP_f304993943r_bool tptp.cOMBB_847828016t_char P) Q) R) (tptp.hAPP_f1410576713r_bool P (tptp.hAPP_l810309945l_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_l177734933l_bool (tptp.hAPP_f1149562121l_bool (tptp.hAPP_f1850037271l_bool tptp.cOMBB_773375802t_char P) Q) R) (tptp.hAPP_f1467537159l_bool P (tptp.hAPP_l232580245l_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P1183008383l_bool (tptp.hAPP_f447422815l_bool (tptp.hAPP_f2052909183l_bool tptp.cOMBC_766524526l_bool P) Q) R) (tptp.hAPP_f1317381998l_bool (tptp.hAPP_P768428603l_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P1333315679l_bool (tptp.hAPP_f1856968213l_bool (tptp.hAPP_f677078775l_bool tptp.cOMBC_475083938l_bool P) Q) R) (tptp.hAPP_f458849545l_bool (tptp.hAPP_P126004409l_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_l1591404153l_bool (tptp.hAPP_f333583909l_bool (tptp.hAPP_f1407048615l_bool tptp.cOMBB_741416308t_char P) Q) R) (tptp.hAPP_f1107475085l_bool P (tptp.hAPP_l902950593t_char Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_l923073979r_bool (tptp.hAPP_f29105311r_bool (tptp.hAPP_f953097879r_bool tptp.cOMBB_672864638t_char P) Q) R) (tptp.hAPP_f454222487r_bool P (tptp.hAPP_l1591404153l_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P638161699l_bool (tptp.hAPP_f762728813l_bool (tptp.hAPP_f1510763001l_bool tptp.cOMBB_565412073on_val P) Q) R) (tptp.hAPP_P1303341961l_bool P (tptp.hAPP_P1886180715on_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P88824722l_bool (tptp.hAPP_f1776493709l_bool (tptp.hAPP_f810261999l_bool tptp.cOMBB_1034324152on_val P) Q) R) (tptp.hAPP_P126004409l_bool P (tptp.hAPP_P658340954on_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P527298901l_bool (tptp.hAPP_f1204100177l_bool (tptp.hAPP_f2026692601l_bool tptp.cOMBB_1977588741on_val P) Q) R) (tptp.hAPP_f762728813l_bool P (tptp.hAPP_P1870962205on_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P609938901l_bool (tptp.hAPP_f2095325577l_bool (tptp.hAPP_f1135930489l_bool tptp.cOMBB_1223415373on_val P) Q) R) (tptp.hAPP_f961387813l_bool P (tptp.hAPP_P527298901l_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P76086873l_bool (tptp.hAPP_f1082373989l_bool (tptp.hAPP_f869803751l_bool tptp.cOMBB_555068556on_val P) Q) R) (tptp.hAPP_f1776493709l_bool P (tptp.hAPP_P1526035745on_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P768428603l_bool (tptp.hAPP_f1427871743l_bool (tptp.hAPP_f32926423l_bool tptp.cOMBB_779086262on_val P) Q) R) (tptp.hAPP_f1734997943l_bool P (tptp.hAPP_P76086873l_bool Q R)))) _let_3 true))))))
% 0.68/1.56  )
% 0.68/1.56  % SZS output end Proof for SWW478+3
% 0.68/1.56  % cvc5---1.0.5 exiting
% 0.68/1.56  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------