TPTP Problem File: SWW478+3.p
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%------------------------------------------------------------------------------
% File : SWW478+3 : TPTP v8.2.0. Released v5.3.0.
% Domain : Software Verification
% Problem : Java type soundness line 479, 1000 axioms selected
% Version : Especial.
% English :
% Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe
% Source : [Bla11]
% Names : jinja_1000_fofmg_l479 [Bla11]
% Status : Theorem
% Rating : 0.08 v8.1.0, 0.06 v7.4.0, 0.07 v7.1.0, 0.09 v7.0.0, 0.07 v6.4.0, 0.12 v6.3.0, 0.08 v6.2.0, 0.12 v6.1.0, 0.17 v6.0.0, 0.13 v5.5.0, 0.19 v5.4.0, 0.25 v5.3.0
% Syntax : Number of formulae : 1491 ( 529 unt; 0 def)
% Number of atoms : 3348 (1063 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 2404 ( 547 ~; 41 |; 106 &)
% ( 266 <=>;1444 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 7 avg)
% Maximal term depth : 13 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 0 prp; 1-2 aty)
% Number of functors : 1107 (1107 usr; 284 con; 0-6 aty)
% Number of variables : 6152 (6082 !; 70 ?)
% SPC : FOF_THM_RFO_SEQ
% Comments : This file was generated by Isabelle (most likely Sledgehammer)
% 2011-08-09 18:27:44
% : Encoded with monomorphized guards.
%------------------------------------------------------------------------------
%----Explicit typings (141)
fof(gsy_c_BigStep_Ofinal_000tc__List__Olist_Itc__String__Ochar_J,axiom,
! [B_1_1] : is_bool(final_list_char(B_1_1)) ).
fof(gsy_c_BigStep_Ofinals_000tc__List__Olist_Itc__String__Ochar_J,axiom,
! [B_1_1] : is_bool(finals_list_char(B_1_1)) ).
fof(gsy_c_Conform_Oconf_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__O,axiom,
! [B_1_1,B_2_1,B_3_1,B_4_1] : is_bool(conf_P373316194t_char(B_1_1,B_2_1,B_3_1,B_4_1)) ).
fof(gsy_c_DefAss_O_092_060D_062_000tc__List__Olist_Itc__String__Ochar_J,axiom,
! [B_1_1,B_2_1] : is_bool(d_list_char(B_1_1,B_2_1)) ).
fof(gsy_c_Exceptions_Opreallocated,axiom,
! [B_1_1] : is_bool(preallocated(B_1_1)) ).
fof(gsy_c_Expr_Obop_OAdd,axiom,
is_bop(add) ).
fof(gsy_c_Expr_Obop_OEq,axiom,
is_bop(c_Expr_Obop_OEq) ).
fof(gsy_c_HOL_Oundefined_000tc__Expr__Obop,axiom,
is_bop(undefined_bop(bop)) ).
fof(gsy_c_List_Odistinct_000tc__List__Olist_Itc__String__Ochar_J,axiom,
! [B_1_1] : is_bool(distinct_list_char(B_1_1)) ).
fof(gsy_c_List_Olist__all2_000tc__Type__Oty_000tc__Type__Oty,axiom,
! [B_1_1,B_2_1,B_3_1] : is_bool(list_all2_ty_ty(B_1_1,B_2_1,B_3_1)) ).
fof(gsy_c_Objects_Ohext,axiom,
! [B_1_1,B_2_1] : is_bool(hext(B_1_1,B_2_1)) ).
fof(gsy_c_Progress_OWTrt_H,axiom,
! [B_1_1,B_2_1,B_3_1,B_4_1,B_5_1] : is_bool(wTrt(B_1_1,B_2_1,B_3_1,B_4_1,B_5_1)) ).
fof(gsy_c_Progress_OWTrts_H,axiom,
! [B_1_1,B_2_1,B_3_1,B_4_1,B_5_1] : is_bool(wTrts(B_1_1,B_2_1,B_3_1,B_4_1,B_5_1)) ).
fof(gsy_c_SmallStep_Oassigned,axiom,
! [B_1_1,B_2_1] : is_bool(assigned(B_1_1,B_2_1)) ).
fof(gsy_c_TypeRel_OFields_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String_,axiom,
! [B_1_1,B_2_1,B_3_1] : is_bool(fields1147507508t_char(B_1_1,B_2_1,B_3_1)) ).
fof(gsy_c_Type_Ois__refT,axiom,
! [B_1_1] : is_bool(is_refT(B_1_1)) ).
fof(gsy_c_WellForm_Owf__prog_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__Stri,axiom,
! [B_1_1,B_2_1] : is_bool(wf_pro755087577t_char(B_1_1,B_2_1)) ).
fof(gsy_c_WellTypeRT_OWTrt,axiom,
! [B_1_1,B_2_1,B_3_1,B_4_1,B_5_1] : is_bool(wTrt_1(B_1_1,B_2_1,B_3_1,B_4_1,B_5_1)) ).
fof(gsy_c_WellTypeRT_OWTrts,axiom,
! [B_1_1,B_2_1,B_3_1,B_4_1,B_5_1] : is_bool(wTrts_1(B_1_1,B_2_1,B_3_1,B_4_1,B_5_1)) ).
fof(gsy_c_fFalse,axiom,
is_bool(fFalse) ).
fof(gsy_c_fTrue,axiom,
is_bool(fTrue) ).
fof(gsy_c_hAPP_000tc__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J_J_000tc__HOL_,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_e544220455r_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__HOL__Obool_000tc__HOL__Obool,axiom,
! [B_1_1,B_2_1] :
( is_bool(B_2_1)
=> is_bool(hAPP_bool_bool(B_1_1,B_2_1)) ) ).
fof(gsy_c_hAPP_000tc__List__Olist_Itc__String__Ochar_J_000tc__HOL__Obool,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_list_char_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__List__Olist_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mt,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_l902158906r_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__Nat__Onat_000tc__HOL__Obool,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_nat_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__Option__Ooption_Itc__Type__Oty_J_000tc__HOL__Obool,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_option_ty_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__Option__Ooption_Itc__Value__Oval_J_000tc__HOL__Obool,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_option_val_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__Option__Ooption_Itc__prod_Itc__List__Olist_Itc__String__Ochar_,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_o2007402111l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__Type__Oty_000tc__HOL__Obool,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_ty_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__Value__Oval_000tc__HOL__Obool,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_val_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__fun_Itc__Expr__Obop_Mtc__fun_Itc__prod_Itc__Value__Oval_Mtc__V,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f1776070952l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__fun_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J_J_Mt,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f570766339l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__Olist_Itc__Str,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f2041029616l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__List__Olist_Itc__String__Ochar_J_J_M,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f539072365l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__List__Olist_Itc__String__Ochar_J_J_M_001,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f998390560l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__HOL__Obool_J_00,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f986089162l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Option__Ooption,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f1001225811y_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Option__Ooption_002,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f1033709212l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fun_Itc__List__,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f1776419603l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fun_Itc__fun_It,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f678833350l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fun_Itc__prod_I,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f1795246582l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fun_Itc__prod_I_003,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f1931964053l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fun_Itc__prod_I_004,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f1520735791l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__Type__Oty_J_Mtc__fun_Itc__prod_Itc__,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f1889282162l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__Value__Oval_J_Mtc__fun_Itc__Expr__Oe,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f1118567467l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__prod_Itc__List__Olist_Itc__String__O,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f1409772418l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__HOL__Obool,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f54304608l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_Itc__List__O,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f61040418l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__fun_Itc__Value__Oval_Mtc__fun_Itc__Value__Oval_Mtc__HOL__Obool,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f2071159779l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_Itc,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f1450446905l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Expr__Obop_Mtc__Expr__Obop_J_Mtc__HOL__Oboo,axiom,
! [B_1_1,B_2_1] :
( is_fun1083000568p_bool(B_2_1)
=> is_bool(hAPP_f1854361213l_bool(B_1_1,B_2_1)) ) ).
fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Expr__Obop_Mtc__prod_Itc__Value__Oval_Mtc__,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f742333458l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Oc,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f588675559l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Oc_005,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f91506671l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Oc_006,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f434955681l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__Olis,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f1734260017l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__Olis_007,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f837795298l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__Olis_008,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f861853459l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__O,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f82569901l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__O_009,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f479632753l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__O_010,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f1780084320l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List_,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f2106398425l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List__011,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f1715346603l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fun_I,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f1134950784l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f515912112l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod__012,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f483496539l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod__013,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f2050077417l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__List__Oli,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f433445541l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__prod_Itc_,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f1746574980l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mtc__Expr__O,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f1314764175l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mtc__List__O,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f348753975l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__prod_Itc__List__Olist_Itc_,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f288221747l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__prod_Itc__List__Olist_Itc__014,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f1161798306l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__List__Olist_Itc__prod_Itc__List__Olist_Itc__015,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f1748390065l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Value__Oval_Mtc__Value__Oval_J_Mtc__HOL__Ob,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f2028441009l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f1661305905l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f966411375l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc_016,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f1754555101l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__fun_Itc__prod_Itc__List__Olist_Itc__String_,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f983152497l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__Expr__Obop_Mtc__prod_Itc__Value__,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f126136681l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__,hypothesis,
! [B_1_1,B_2_1] : is_bool(hAPP_f1453283057l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f458849545l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__List__Olist_Itc__List__Olist_Itc_,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f595031537l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__List__Olist_Itc__List__Olist_Itc__017,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f528956081l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f851858423l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J__018,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f665343921l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J__019,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f538118321l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J__020,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f272179441l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc_,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f258424141l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mt,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f1145574243l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__List__Olist_Itc__prod_Itc__List__,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f126445617l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__Value__Oval_Mtc__Value__Oval_J_Mt,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f2129782055l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__O,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f1297673713l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__O,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f1261741735l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f1980787287l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__Expr__Obop_Mtc__Expr__Obop_J_000tc__HOL__Obool,axiom,
! [B_1_1,B_2_1] :
( is_fun1083000568p_bool(B_1_1)
=> is_bool(hAPP_P1085566419p_bool(B_1_1,B_2_1)) ) ).
fof(gsy_c_hAPP_000tc__prod_Itc__Expr__Obop_Mtc__prod_Itc__Value__Oval_Mtc__Value__Ov,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P943837928l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J_J_M,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P1632759357r_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J_J_M_021,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P1708370145l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__Olist_Itc__St,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P499022727r_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__Olist_Itc__St_022,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P71593144l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__Ochar_J_J_,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P2014166431r_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__Ochar_J_J__023,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P476431815r_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__Ochar_J_J__024,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P92196306r_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List__Olist_It,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P449474095r_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Type__Oty_J_00,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P748443392y_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fun_Itc__prod_,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P1235399154l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_Itc__List,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P1680401186r_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_Itc__List_025,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P1384137393r_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_Itc__List_026,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P659547099r_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__List__Olist_Itc__T,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P1574824955y_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__prod_Itc__List__Ol,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P1907982426r_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__prod_Itc__Type__Ot,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P1187139874r_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mtc__Expr__Oexp_Itc__,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P2118621157r_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mtc__List__Olist_Itc_,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P2115985549l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__prod_Itc__List__Olist_Itc__String__,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P2053453961y_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__prod_Itc__List__Olist_Itc__String___027,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P828904212r_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__prod_Itc__List__Olist_Itc__String___028,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P1926698759r_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__Value__Oval_Mtc__Value__Oval_J_000tc__HOL__Obool,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P929938951l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Optio,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P468446343l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_It,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P159683425l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_It_029,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P2077557811l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__fun_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P504978887l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__Expr__Obop_Mtc__prod_Itc__Value__Oval_Mtc_,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P738987199l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__O,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P282169671l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__Oli,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P1333315679l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P1002912327r_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String___030,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P824029447r_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P27757617y_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List_031,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P2010574925r_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fun_,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P124632071l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P975284999r_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_032,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P929449287r_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__prod_Itc,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P1240100515r_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mtc__Expr__,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P1183499705r_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__prod_Itc__List__Olist_Itc,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P801803911r_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__Value__Oval_Mtc__Value__Oval_J_Mtc__prod_I,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P2123002749l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_It,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P1221872711l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc_,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P378063101l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc_,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P2028072621l_bool(B_1_1,B_2_1)) ).
%----Relevant facts (1200)
fof(fact_0_InitBlockRed_I3_J,axiom,
hAPP_l207779698on_val(l_a,v_1) = hAPP_val_option_val(some_val,v_2) ).
fof(fact_1_InitBlockRed_I1_J,axiom,
hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,hAPP_val_option_val(some_val,v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a)))),red(p))) ).
fof(fact_2_fun__upd__triv,axiom,
! [F_1,X_2] : fun_up1149430426on_val(F_1,X_2,hAPP_l207779698on_val(F_1,X_2)) = F_1 ).
fof(fact_3_fun__upd__triv,axiom,
! [F_1,X_2] : fun_up424764369ion_ty(F_1,X_2,hAPP_l512744617ion_ty(F_1,X_2)) = F_1 ).
fof(fact_4_fun__upd__triv,axiom,
! [F_1,X_2] : fun_up2041264236on_val(F_1,X_2,hAPP_n546249108on_val(F_1,X_2)) = F_1 ).
fof(fact_5_fun__upd__triv,axiom,
! [F_1,X_2] : fun_up204312361on_val(F_1,X_2,hAPP_P2094403585on_val(F_1,X_2)) = F_1 ).
fof(fact_6_assms,axiom,
hBOOL(wf_pro755087577t_char(wf_J_mdecl,p)) ).
fof(fact_7_map__upd__Some__unfold,axiom,
! [M_1,A,B,X_2,Y_2] :
( hAPP_l207779698on_val(fun_up1149430426on_val(M_1,A,hAPP_val_option_val(some_val,B)),X_2) = hAPP_val_option_val(some_val,Y_2)
<=> ( ( X_2 = A
& B = Y_2 )
| ( X_2 != A
& hAPP_l207779698on_val(M_1,X_2) = hAPP_val_option_val(some_val,Y_2) ) ) ) ).
fof(fact_8_map__upd__Some__unfold,axiom,
! [M_1,A,B,X_2,Y_2] :
( hAPP_l512744617ion_ty(fun_up424764369ion_ty(M_1,A,hAPP_ty_option_ty(some_ty,B)),X_2) = hAPP_ty_option_ty(some_ty,Y_2)
<=> ( ( X_2 = A
& B = Y_2 )
| ( X_2 != A
& hAPP_l512744617ion_ty(M_1,X_2) = hAPP_ty_option_ty(some_ty,Y_2) ) ) ) ).
fof(fact_9_map__upd__Some__unfold,axiom,
! [M_1,A,B,X_2,Y_2] :
( hAPP_n546249108on_val(fun_up2041264236on_val(M_1,A,hAPP_P1510515380on_val(some_P948696889on_val,B)),X_2) = hAPP_P1510515380on_val(some_P948696889on_val,Y_2)
<=> ( ( X_2 = A
& B = Y_2 )
| ( X_2 != A
& hAPP_n546249108on_val(M_1,X_2) = hAPP_P1510515380on_val(some_P948696889on_val,Y_2) ) ) ) ).
fof(fact_10_map__upd__Some__unfold,axiom,
! [M_1,A,B,X_2,Y_2] :
( hAPP_P2094403585on_val(fun_up204312361on_val(M_1,A,hAPP_val_option_val(some_val,B)),X_2) = hAPP_val_option_val(some_val,Y_2)
<=> ( ( X_2 = A
& B = Y_2 )
| ( X_2 != A
& hAPP_P2094403585on_val(M_1,X_2) = hAPP_val_option_val(some_val,Y_2) ) ) ) ).
fof(fact_11_map__upd__triv,axiom,
! [T_2,K,X_2] :
( hAPP_l207779698on_val(T_2,K) = hAPP_val_option_val(some_val,X_2)
=> fun_up1149430426on_val(T_2,K,hAPP_val_option_val(some_val,X_2)) = T_2 ) ).
fof(fact_12_map__upd__triv,axiom,
! [T_2,K,X_2] :
( hAPP_l512744617ion_ty(T_2,K) = hAPP_ty_option_ty(some_ty,X_2)
=> fun_up424764369ion_ty(T_2,K,hAPP_ty_option_ty(some_ty,X_2)) = T_2 ) ).
fof(fact_13_map__upd__triv,axiom,
! [T_2,K,X_2] :
( hAPP_n546249108on_val(T_2,K) = hAPP_P1510515380on_val(some_P948696889on_val,X_2)
=> fun_up2041264236on_val(T_2,K,hAPP_P1510515380on_val(some_P948696889on_val,X_2)) = T_2 ) ).
fof(fact_14_map__upd__triv,axiom,
! [T_2,K,X_2] :
( hAPP_P2094403585on_val(T_2,K) = hAPP_val_option_val(some_val,X_2)
=> fun_up204312361on_val(T_2,K,hAPP_val_option_val(some_val,X_2)) = T_2 ) ).
fof(fact_15_map__upd__eqD1,axiom,
! [M_1,A,X_2,N,Y_2] :
( fun_up1149430426on_val(M_1,A,hAPP_val_option_val(some_val,X_2)) = fun_up1149430426on_val(N,A,hAPP_val_option_val(some_val,Y_2))
=> X_2 = Y_2 ) ).
fof(fact_16_map__upd__eqD1,axiom,
! [M_1,A,X_2,N,Y_2] :
( fun_up424764369ion_ty(M_1,A,hAPP_ty_option_ty(some_ty,X_2)) = fun_up424764369ion_ty(N,A,hAPP_ty_option_ty(some_ty,Y_2))
=> X_2 = Y_2 ) ).
fof(fact_17_map__upd__eqD1,axiom,
! [M_1,A,X_2,N,Y_2] :
( fun_up2041264236on_val(M_1,A,hAPP_P1510515380on_val(some_P948696889on_val,X_2)) = fun_up2041264236on_val(N,A,hAPP_P1510515380on_val(some_P948696889on_val,Y_2))
=> X_2 = Y_2 ) ).
fof(fact_18_map__upd__eqD1,axiom,
! [M_1,A,X_2,N,Y_2] :
( fun_up204312361on_val(M_1,A,hAPP_val_option_val(some_val,X_2)) = fun_up204312361on_val(N,A,hAPP_val_option_val(some_val,Y_2))
=> X_2 = Y_2 ) ).
fof(fact_19_InitBlockRed_I2_J,axiom,
! [Ta,Ea] :
( hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(p,Ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,hAPP_val_option_val(some_val,v)))))
=> ( hBOOL(wTrt_1(p,ha,Ea,ea,Ta))
=> ? [T_5] :
( hBOOL(wTrt_1(p,h_a,Ea,e_a,T_5))
& hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(p),T_5),Ta)) ) ) ) ).
fof(fact_20_prod__induct5,axiom,
! [X_2,Pa] :
( ! [A_1,B_2,C_4,D_2,E_4] : hBOOL(hAPP_P2028072621l_bool(Pa,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_1),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B_2),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,C_4),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,D_2),E_4))))))
=> hBOOL(hAPP_P2028072621l_bool(Pa,X_2)) ) ).
fof(fact_21_prod__induct5,axiom,
! [X_2,Pa] :
( ! [A_1,B_2,C_4,D_2,E_4] : hBOOL(hAPP_P378063101l_bool(Pa,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_1),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B_2),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,C_4),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,D_2),E_4))))))
=> hBOOL(hAPP_P378063101l_bool(Pa,X_2)) ) ).
fof(fact_22_prod__induct5,axiom,
! [X_2,Pa] :
( ! [A_1,B_2,C_4,D_2,E_4] : hBOOL(hAPP_P824029447r_bool(Pa,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_1),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,B_2),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,C_4),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,D_2),E_4))))))
=> hBOOL(hAPP_P824029447r_bool(Pa,X_2)) ) ).
fof(fact_23_prod__induct5,axiom,
! [X_2,Pa] :
( ! [A_1,B_2,C_4,D_2,E_4] : hBOOL(hAPP_P975284999r_bool(Pa,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A_1),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,B_2),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,C_4),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,D_2),E_4))))))
=> hBOOL(hAPP_P975284999r_bool(Pa,X_2)) ) ).
fof(fact_24_prod__induct5,axiom,
! [X_2,Pa] :
( ! [A_1,B_2,C_4,D_2,E_4] : hBOOL(hAPP_P1384137393r_bool(Pa,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A_1),hAPP_P976433298t_char(hAPP_l2048923787t_char(produc2016959032t_char,B_2),hAPP_P1661798543t_char(hAPP_t1369077401t_char(produc1545444669t_char,C_4),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,D_2),E_4))))))
=> hBOOL(hAPP_P1384137393r_bool(Pa,X_2)) ) ).
fof(fact_25_prod__cases5,axiom,
! [Y_2] :
~ ! [A_1,B_2,C_4,D_2,E_4] : Y_2 != hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_1),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B_2),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,C_4),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,D_2),E_4)))) ).
fof(fact_26_prod__cases5,axiom,
! [Y_2] :
~ ! [A_1,B_2,C_4,D_2,E_4] : Y_2 != hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_1),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B_2),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,C_4),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,D_2),E_4)))) ).
fof(fact_27_prod__cases5,axiom,
! [Y_7] :
~ ! [A_1,B_2,C_4,D_2,E_4] : Y_7 != hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_1),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,B_2),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,C_4),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,D_2),E_4)))) ).
fof(fact_28_prod__cases5,axiom,
! [Y_7] :
~ ! [A_1,B_2,C_4,D_2,E_4] : Y_7 != hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A_1),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,B_2),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,C_4),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,D_2),E_4)))) ).
fof(fact_29_prod__cases5,axiom,
! [Y_7] :
~ ! [A_1,B_2,C_4,D_2,E_4] : Y_7 != hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A_1),hAPP_P976433298t_char(hAPP_l2048923787t_char(produc2016959032t_char,B_2),hAPP_P1661798543t_char(hAPP_t1369077401t_char(produc1545444669t_char,C_4),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,D_2),E_4)))) ).
fof(fact_30_prod__induct4,axiom,
! [X_2,Pa] :
( ! [A_1,B_2,C_4,D_2] : hBOOL(hAPP_P1384137393r_bool(Pa,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A_1),hAPP_P976433298t_char(hAPP_l2048923787t_char(produc2016959032t_char,B_2),hAPP_P1661798543t_char(hAPP_t1369077401t_char(produc1545444669t_char,C_4),D_2)))))
=> hBOOL(hAPP_P1384137393r_bool(Pa,X_2)) ) ).
fof(fact_31_prod__induct4,axiom,
! [X_2,Pa] :
( ! [A_1,B_2,C_4,D_2] : hBOOL(hAPP_P282169671l_bool(Pa,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B_2),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,C_4),D_2)))))
=> hBOOL(hAPP_P282169671l_bool(Pa,X_2)) ) ).
fof(fact_32_prod__induct4,axiom,
! [X_2,Pa] :
( ! [A_1,B_2,C_4,D_2] : hBOOL(hAPP_P1333315679l_bool(Pa,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,B_2),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,C_4),D_2)))))
=> hBOOL(hAPP_P1333315679l_bool(Pa,X_2)) ) ).
fof(fact_33_prod__induct4,axiom,
! [X_2,Pa] :
( ! [A_1,B_2,C_4,D_2] : hBOOL(hAPP_P92196306r_bool(Pa,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,B_2),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,C_4),D_2)))))
=> hBOOL(hAPP_P92196306r_bool(Pa,X_2)) ) ).
fof(fact_34_prod__induct4,axiom,
! [X_2,Pa] :
( ! [A_1,B_2,C_4,D_2] : hBOOL(hAPP_P1680401186r_bool(Pa,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,B_2),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,C_4),D_2)))))
=> hBOOL(hAPP_P1680401186r_bool(Pa,X_2)) ) ).
fof(fact_35_prod__induct4,axiom,
! [X_2,Pa] :
( ! [A_1,B_2,C_4,D_2] : hBOOL(hAPP_P378063101l_bool(Pa,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_1),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B_2),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,C_4),D_2)))))
=> hBOOL(hAPP_P378063101l_bool(Pa,X_2)) ) ).
fof(fact_36_prod__induct4,axiom,
! [X_2,Pa] :
( ! [A_1,B_2,C_4,D_2] :
( is_bop(B_2)
=> hBOOL(hAPP_P738987199l_bool(Pa,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A_1),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,B_2),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,C_4),D_2))))) )
=> hBOOL(hAPP_P738987199l_bool(Pa,X_2)) ) ).
fof(fact_37_prod__induct4,axiom,
! [X_2,Pa] :
( ! [A_1,B_2,C_4,D_2] : hBOOL(hAPP_P2028072621l_bool(Pa,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_1),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B_2),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,C_4),D_2)))))
=> hBOOL(hAPP_P2028072621l_bool(Pa,X_2)) ) ).
fof(fact_38_prod__induct4,axiom,
! [X_2,Pa] :
( ! [A_1,B_2,C_4,D_2] : hBOOL(hAPP_P824029447r_bool(Pa,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_1),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,B_2),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,C_4),D_2)))))
=> hBOOL(hAPP_P824029447r_bool(Pa,X_2)) ) ).
fof(fact_39_prod__induct4,axiom,
! [X_2,Pa] :
( ! [A_1,B_2,C_4,D_2] : hBOOL(hAPP_P1240100515r_bool(Pa,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,B_2),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,C_4),D_2)))))
=> hBOOL(hAPP_P1240100515r_bool(Pa,X_2)) ) ).
fof(fact_40_prod__induct4,axiom,
! [X_2,Pa] :
( ! [A_1,B_2,C_4,D_2] : hBOOL(hAPP_P975284999r_bool(Pa,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A_1),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,B_2),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,C_4),D_2)))))
=> hBOOL(hAPP_P975284999r_bool(Pa,X_2)) ) ).
fof(fact_41_prod__induct4,axiom,
! [X_2,Pa] :
( ! [A_1,B_2,C_4,D_2] : hBOOL(hAPP_P929449287r_bool(Pa,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,A_1),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,B_2),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,C_4),D_2)))))
=> hBOOL(hAPP_P929449287r_bool(Pa,X_2)) ) ).
fof(fact_42_prod__cases4,axiom,
! [Y_6] :
~ ! [A_1,B_2,C_4,D_2] : Y_6 != hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A_1),hAPP_P976433298t_char(hAPP_l2048923787t_char(produc2016959032t_char,B_2),hAPP_P1661798543t_char(hAPP_t1369077401t_char(produc1545444669t_char,C_4),D_2))) ).
fof(fact_43_prod__cases4,axiom,
! [Y_2] :
~ ! [A_1,B_2,C_4,D_2] : Y_2 != hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B_2),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,C_4),D_2))) ).
fof(fact_44_prod__cases4,axiom,
! [Y_2] :
~ ! [A_1,B_2,C_4,D_2] : Y_2 != hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,B_2),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,C_4),D_2))) ).
fof(fact_45_prod__cases4,axiom,
! [Y_6] :
~ ! [A_1,B_2,C_4,D_2] : Y_6 != hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,B_2),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,C_4),D_2))) ).
fof(fact_46_prod__cases4,axiom,
! [Y_6] :
~ ! [A_1,B_2,C_4,D_2] : Y_6 != hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,B_2),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,C_4),D_2))) ).
fof(fact_47_prod__cases4,axiom,
! [Y_2] :
~ ! [A_1,B_2,C_4,D_2] : Y_2 != hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_1),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B_2),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,C_4),D_2))) ).
fof(fact_48_prod__cases4,axiom,
! [Y_6] :
~ ! [A_1,B_2,C_4,D_2] :
( is_bop(B_2)
=> Y_6 != hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A_1),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,B_2),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,C_4),D_2))) ) ).
fof(fact_49_prod__cases4,axiom,
! [Y_2] :
~ ! [A_1,B_2,C_4,D_2] : Y_2 != hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_1),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B_2),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,C_4),D_2))) ).
fof(fact_50_prod__cases4,axiom,
! [Y_6] :
~ ! [A_1,B_2,C_4,D_2] : Y_6 != hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_1),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,B_2),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,C_4),D_2))) ).
fof(fact_51_prod__cases4,axiom,
! [Y_6] :
~ ! [A_1,B_2,C_4,D_2] : Y_6 != hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,B_2),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,C_4),D_2))) ).
fof(fact_52_prod__cases4,axiom,
! [Y_6] :
~ ! [A_1,B_2,C_4,D_2] : Y_6 != hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A_1),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,B_2),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,C_4),D_2))) ).
fof(fact_53_prod__cases4,axiom,
! [Y_6] :
~ ! [A_1,B_2,C_4,D_2] : Y_6 != hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,A_1),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,B_2),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,C_4),D_2))) ).
fof(fact_54_InitBlockRed_I4_J,axiom,
hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(p,e),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),la))) ).
fof(fact_55_Pair__inject,axiom,
! [A_19,B_5,A_18,B_4] :
( hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,A_19),B_5) = hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,A_18),B_4)
=> ~ ( A_19 = A_18
=> B_5 != B_4 ) ) ).
fof(fact_56_Pair__inject,axiom,
! [A_19,B_5,A_18,B_4] :
( hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,A_19),B_5) = hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,A_18),B_4)
=> ~ ( A_19 = A_18
=> B_5 != B_4 ) ) ).
fof(fact_57_Pair__inject,axiom,
! [A_19,B_5,A_18,B_4] :
( hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A_19),B_5) = hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A_18),B_4)
=> ~ ( A_19 = A_18
=> B_5 != B_4 ) ) ).
fof(fact_58_Pair__inject,axiom,
! [A_19,B_5,A_18,B_4] :
( hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,A_19),B_5) = hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,A_18),B_4)
=> ~ ( A_19 = A_18
=> B_5 != B_4 ) ) ).
fof(fact_59_Pair__inject,axiom,
! [A_19,B_5,A_18,B_4] :
( hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,A_19),B_5) = hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,A_18),B_4)
=> ~ ( A_19 = A_18
=> B_5 != B_4 ) ) ).
fof(fact_60_Pair__inject,axiom,
! [A_19,B_5,A_18,B_4] :
( hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,A_19),B_5) = hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,A_18),B_4)
=> ~ ( A_19 = A_18
=> B_5 != B_4 ) ) ).
fof(fact_61_Pair__inject,axiom,
! [A_19,B_5,A_18,B_4] :
( hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A_19),B_5) = hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A_18),B_4)
=> ~ ( A_19 = A_18
=> B_5 != B_4 ) ) ).
fof(fact_62_Pair__inject,axiom,
! [A_19,B_5,A_18,B_4] :
( hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A_19),B_5) = hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A_18),B_4)
=> ~ ( A_19 = A_18
=> B_5 != B_4 ) ) ).
fof(fact_63_Pair__inject,axiom,
! [A_19,B_5,A_18,B_4] :
( hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_19),B_5) = hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_18),B_4)
=> ~ ( A_19 = A_18
=> B_5 != B_4 ) ) ).
fof(fact_64_Pair__inject,axiom,
! [A_19,B_5,A_18,B_4] :
( hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_19),B_5) = hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_18),B_4)
=> ~ ( A_19 = A_18
=> B_5 != B_4 ) ) ).
fof(fact_65_Pair__inject,axiom,
! [A,B,A_3,B_3] :
( hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A),B) = hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_3),B_3)
=> ~ ( A = A_3
=> B != B_3 ) ) ).
fof(fact_66_Pair__inject,axiom,
! [A_19,B_5,A_18,B_4] :
( hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,A_19),B_5) = hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,A_18),B_4)
=> ~ ( A_19 = A_18
=> B_5 != B_4 ) ) ).
fof(fact_67_Pair__inject,axiom,
! [A_19,B_5,A_18,B_4] :
( hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A_19),B_5) = hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A_18),B_4)
=> ~ ( A_19 = A_18
=> B_5 != B_4 ) ) ).
fof(fact_68_Pair__inject,axiom,
! [A_19,B_5,A_18,B_4] :
( hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A_19),B_5) = hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A_18),B_4)
=> ~ ( A_19 = A_18
=> B_5 != B_4 ) ) ).
fof(fact_69_Pair__inject,axiom,
! [A,B,A_3,B_3] :
( hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A),B) = hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A_3),B_3)
=> ~ ( A = A_3
=> B != B_3 ) ) ).
fof(fact_70_Pair__inject,axiom,
! [A,B,A_3,B_3] :
( hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A),B) = hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A_3),B_3)
=> ~ ( A = A_3
=> B != B_3 ) ) ).
fof(fact_71_Pair__inject,axiom,
! [A,B,A_3,B_3] :
( hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A),B) = hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_3),B_3)
=> ~ ( A = A_3
=> B != B_3 ) ) ).
fof(fact_72_Pair__inject,axiom,
! [A_19,B_5,A_18,B_4] :
( hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,A_19),B_5) = hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,A_18),B_4)
=> ~ ( A_19 = A_18
=> B_5 != B_4 ) ) ).
fof(fact_73_Pair__inject,axiom,
! [A_19,B_5,A_18,B_4] :
( hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,A_19),B_5) = hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,A_18),B_4)
=> ~ ( A_19 = A_18
=> B_5 != B_4 ) ) ).
fof(fact_74_Pair__inject,axiom,
! [A_19,B_5,A_18,B_4] :
( hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,A_19),B_5) = hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,A_18),B_4)
=> ~ ( A_19 = A_18
=> B_5 != B_4 ) ) ).
fof(fact_75_Pair__inject,axiom,
! [A_19,B_5,A_18,B_4] :
( hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,A_19),B_5) = hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,A_18),B_4)
=> ~ ( A_19 = A_18
=> B_5 != B_4 ) ) ).
fof(fact_76_Pair__inject,axiom,
! [A_19,B_5,A_18,B_4] :
( hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,A_19),B_5) = hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,A_18),B_4)
=> ~ ( A_19 = A_18
=> B_5 != B_4 ) ) ).
fof(fact_77_Pair__inject,axiom,
! [A_19,B_5,A_18,B_4] :
( hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,A_19),B_5) = hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,A_18),B_4)
=> ~ ( A_19 = A_18
=> B_5 != B_4 ) ) ).
fof(fact_78_Pair__inject,axiom,
! [A_19,B_5,A_18,B_4] :
( hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,A_19),B_5) = hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,A_18),B_4)
=> ~ ( A_19 = A_18
=> B_5 != B_4 ) ) ).
fof(fact_79_Pair__inject,axiom,
! [A_19,B_5,A_18,B_4] :
( ( is_bop(A_19)
& is_bop(B_5)
& is_bop(A_18)
& is_bop(B_4) )
=> ( hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,A_19),B_5) = hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,A_18),B_4)
=> ~ ( A_19 = A_18
=> B_5 != B_4 ) ) ) ).
fof(fact_80_Pair__inject,axiom,
! [A,B,A_3,B_3] :
( hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,A),B) = hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,A_3),B_3)
=> ~ ( A = A_3
=> B != B_3 ) ) ).
fof(fact_81_Pair__inject,axiom,
! [A,B,A_3,B_3] :
( hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,A),B) = hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,A_3),B_3)
=> ~ ( A = A_3
=> B != B_3 ) ) ).
fof(fact_82_Pair__inject,axiom,
! [A,B,A_3,B_3] :
( hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,A),B) = hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,A_3),B_3)
=> ~ ( A = A_3
=> B != B_3 ) ) ).
fof(fact_83_Pair__inject,axiom,
! [A,B,A_3,B_3] :
( hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B) = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_3),B_3)
=> ~ ( A = A_3
=> B != B_3 ) ) ).
fof(fact_84_Pair__inject,axiom,
! [A,B,A_3,B_3] :
( hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A),B) = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_3),B_3)
=> ~ ( A = A_3
=> B != B_3 ) ) ).
fof(fact_85_Pair__inject,axiom,
! [A,B,A_3,B_3] :
( hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A),B) = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_3),B_3)
=> ~ ( A = A_3
=> B != B_3 ) ) ).
fof(fact_86_Pair__inject,axiom,
! [A,B,A_3,B_3] :
( hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A),B) = hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_3),B_3)
=> ~ ( A = A_3
=> B != B_3 ) ) ).
fof(fact_87_Pair__inject,axiom,
! [A_19,B_5,A_18,B_4] :
( hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_19),B_5) = hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_18),B_4)
=> ~ ( A_19 = A_18
=> B_5 != B_4 ) ) ).
fof(fact_88_Pair__inject,axiom,
! [A_19,B_5,A_18,B_4] :
( ( is_bop(A_19)
& is_bop(A_18) )
=> ( hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_19),B_5) = hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_18),B_4)
=> ~ ( A_19 = A_18
=> B_5 != B_4 ) ) ) ).
fof(fact_89_Pair__inject,axiom,
! [A_19,B_5,A_18,B_4] :
( hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_19),B_5) = hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_18),B_4)
=> ~ ( A_19 = A_18
=> B_5 != B_4 ) ) ).
fof(fact_90_Pair__inject,axiom,
! [A,B,A_3,B_3] :
( hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B) = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_3),B_3)
=> ~ ( A = A_3
=> B != B_3 ) ) ).
fof(fact_91_Pair__inject,axiom,
! [A,B,A_3,B_3] :
( hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A),B) = hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_3),B_3)
=> ~ ( A = A_3
=> B != B_3 ) ) ).
fof(fact_92_Pair__inject,axiom,
! [A_19,B_5,A_18,B_4] :
( hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_19),B_5) = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_18),B_4)
=> ~ ( A_19 = A_18
=> B_5 != B_4 ) ) ).
fof(fact_93_Pair__inject,axiom,
! [A_19,B_5,A_18,B_4] :
( hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_19),B_5) = hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_18),B_4)
=> ~ ( A_19 = A_18
=> B_5 != B_4 ) ) ).
fof(fact_94_Pair__inject,axiom,
! [A_19,B_5,A_18,B_4] :
( hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_19),B_5) = hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_18),B_4)
=> ~ ( A_19 = A_18
=> B_5 != B_4 ) ) ).
fof(fact_95_Pair__inject,axiom,
! [A_19,B_5,A_18,B_4] :
( hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_19),B_5) = hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_18),B_4)
=> ~ ( A_19 = A_18
=> B_5 != B_4 ) ) ).
fof(fact_96_Pair__inject,axiom,
! [A_19,B_5,A_18,B_4] :
( hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_19),B_5) = hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_18),B_4)
=> ~ ( A_19 = A_18
=> B_5 != B_4 ) ) ).
fof(fact_97_Pair__inject,axiom,
! [A_19,B_5,A_18,B_4] :
( hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_19),B_5) = hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_18),B_4)
=> ~ ( A_19 = A_18
=> B_5 != B_4 ) ) ).
fof(fact_98_Pair__inject,axiom,
! [A_19,B_5,A_18,B_4] :
( hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_19),B_5) = hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_18),B_4)
=> ~ ( A_19 = A_18
=> B_5 != B_4 ) ) ).
fof(fact_99_Pair__eq,axiom,
! [A,B,A_3,B_3] :
( hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,A),B) = hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,A_3),B_3)
<=> ( A = A_3
& B = B_3 ) ) ).
fof(fact_100_Pair__eq,axiom,
! [A,B,A_3,B_3] :
( hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,A),B) = hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,A_3),B_3)
<=> ( A = A_3
& B = B_3 ) ) ).
fof(fact_101_Pair__eq,axiom,
! [A,B,A_3,B_3] :
( hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A),B) = hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A_3),B_3)
<=> ( A = A_3
& B = B_3 ) ) ).
fof(fact_102_Pair__eq,axiom,
! [A,B,A_3,B_3] :
( hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,A),B) = hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,A_3),B_3)
<=> ( A = A_3
& B = B_3 ) ) ).
fof(fact_103_Pair__eq,axiom,
! [A,B,A_3,B_3] :
( hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,A),B) = hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,A_3),B_3)
<=> ( A = A_3
& B = B_3 ) ) ).
fof(fact_104_Pair__eq,axiom,
! [A,B,A_3,B_3] :
( hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,A),B) = hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,A_3),B_3)
<=> ( A = A_3
& B = B_3 ) ) ).
fof(fact_105_Pair__eq,axiom,
! [A,B,A_3,B_3] :
( hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A),B) = hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A_3),B_3)
<=> ( A = A_3
& B = B_3 ) ) ).
fof(fact_106_Pair__eq,axiom,
! [A,B,A_3,B_3] :
( hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A),B) = hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A_3),B_3)
<=> ( A = A_3
& B = B_3 ) ) ).
fof(fact_107_Pair__eq,axiom,
! [A,B,A_3,B_3] :
( hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A),B) = hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_3),B_3)
<=> ( A = A_3
& B = B_3 ) ) ).
fof(fact_108_Pair__eq,axiom,
! [A,B,A_3,B_3] :
( hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A),B) = hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_3),B_3)
<=> ( A = A_3
& B = B_3 ) ) ).
fof(fact_109_Pair__eq,axiom,
! [A,B,A_3,B_3] :
( hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A),B) = hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_3),B_3)
<=> ( A = A_3
& B = B_3 ) ) ).
fof(fact_110_Pair__eq,axiom,
! [A,B,A_3,B_3] :
( hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,A),B) = hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,A_3),B_3)
<=> ( A = A_3
& B = B_3 ) ) ).
fof(fact_111_Pair__eq,axiom,
! [A,B,A_3,B_3] :
( hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A),B) = hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A_3),B_3)
<=> ( A = A_3
& B = B_3 ) ) ).
fof(fact_112_Pair__eq,axiom,
! [A,B,A_3,B_3] :
( hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A),B) = hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A_3),B_3)
<=> ( A = A_3
& B = B_3 ) ) ).
fof(fact_113_Pair__eq,axiom,
! [A,B,A_3,B_3] :
( hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A),B) = hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A_3),B_3)
<=> ( A = A_3
& B = B_3 ) ) ).
fof(fact_114_Pair__eq,axiom,
! [A,B,A_3,B_3] :
( hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A),B) = hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A_3),B_3)
<=> ( A = A_3
& B = B_3 ) ) ).
fof(fact_115_Pair__eq,axiom,
! [A,B,A_3,B_3] :
( hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A),B) = hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_3),B_3)
<=> ( A = A_3
& B = B_3 ) ) ).
fof(fact_116_Pair__eq,axiom,
! [A,B,A_3,B_3] :
( hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,A),B) = hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,A_3),B_3)
<=> ( A = A_3
& B = B_3 ) ) ).
fof(fact_117_Pair__eq,axiom,
! [A,B,A_3,B_3] :
( hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,A),B) = hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,A_3),B_3)
<=> ( A = A_3
& B = B_3 ) ) ).
fof(fact_118_Pair__eq,axiom,
! [A,B,A_3,B_3] :
( hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,A),B) = hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,A_3),B_3)
<=> ( A = A_3
& B = B_3 ) ) ).
fof(fact_119_Pair__eq,axiom,
! [A,B,A_3,B_3] :
( hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,A),B) = hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,A_3),B_3)
<=> ( A = A_3
& B = B_3 ) ) ).
fof(fact_120_Pair__eq,axiom,
! [A,B,A_3,B_3] :
( hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,A),B) = hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,A_3),B_3)
<=> ( A = A_3
& B = B_3 ) ) ).
fof(fact_121_Pair__eq,axiom,
! [A,B,A_3,B_3] :
( hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,A),B) = hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,A_3),B_3)
<=> ( A = A_3
& B = B_3 ) ) ).
fof(fact_122_Pair__eq,axiom,
! [A,B,A_3,B_3] :
( hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,A),B) = hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,A_3),B_3)
<=> ( A = A_3
& B = B_3 ) ) ).
fof(fact_123_Pair__eq,axiom,
! [A,B,A_3,B_3] :
( ( is_bop(A)
& is_bop(B)
& is_bop(A_3)
& is_bop(B_3) )
=> ( hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,A),B) = hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,A_3),B_3)
<=> ( A = A_3
& B = B_3 ) ) ) ).
fof(fact_124_Pair__eq,axiom,
! [A,B,A_3,B_3] :
( hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,A),B) = hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,A_3),B_3)
<=> ( A = A_3
& B = B_3 ) ) ).
fof(fact_125_Pair__eq,axiom,
! [A,B,A_3,B_3] :
( hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,A),B) = hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,A_3),B_3)
<=> ( A = A_3
& B = B_3 ) ) ).
fof(fact_126_Pair__eq,axiom,
! [A,B,A_3,B_3] :
( hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,A),B) = hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,A_3),B_3)
<=> ( A = A_3
& B = B_3 ) ) ).
fof(fact_127_Pair__eq,axiom,
! [A,B,A_3,B_3] :
( hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B) = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_3),B_3)
<=> ( A = A_3
& B = B_3 ) ) ).
fof(fact_128_Pair__eq,axiom,
! [A,B,A_3,B_3] :
( hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A),B) = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_3),B_3)
<=> ( A = A_3
& B = B_3 ) ) ).
fof(fact_129_Pair__eq,axiom,
! [A,B,A_3,B_3] :
( hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A),B) = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_3),B_3)
<=> ( A = A_3
& B = B_3 ) ) ).
fof(fact_130_Pair__eq,axiom,
! [A,B,A_3,B_3] :
( hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A),B) = hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_3),B_3)
<=> ( A = A_3
& B = B_3 ) ) ).
fof(fact_131_Pair__eq,axiom,
! [A,B,A_3,B_3] :
( hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B) = hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_3),B_3)
<=> ( A = A_3
& B = B_3 ) ) ).
fof(fact_132_Pair__eq,axiom,
! [A,B,A_3,B_3] :
( ( is_bop(A)
& is_bop(A_3) )
=> ( hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A),B) = hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_3),B_3)
<=> ( A = A_3
& B = B_3 ) ) ) ).
fof(fact_133_Pair__eq,axiom,
! [A,B,A_3,B_3] :
( hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),B) = hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_3),B_3)
<=> ( A = A_3
& B = B_3 ) ) ).
fof(fact_134_Pair__eq,axiom,
! [A,B,A_3,B_3] :
( hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B) = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_3),B_3)
<=> ( A = A_3
& B = B_3 ) ) ).
fof(fact_135_Pair__eq,axiom,
! [A,B,A_3,B_3] :
( hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A),B) = hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_3),B_3)
<=> ( A = A_3
& B = B_3 ) ) ).
fof(fact_136_Pair__eq,axiom,
! [A,B,A_3,B_3] :
( hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A),B) = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_3),B_3)
<=> ( A = A_3
& B = B_3 ) ) ).
fof(fact_137_Pair__eq,axiom,
! [A,B,A_3,B_3] :
( hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A),B) = hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_3),B_3)
<=> ( A = A_3
& B = B_3 ) ) ).
fof(fact_138_Pair__eq,axiom,
! [A,B,A_3,B_3] :
( hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A),B) = hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_3),B_3)
<=> ( A = A_3
& B = B_3 ) ) ).
fof(fact_139_Pair__eq,axiom,
! [A,B,A_3,B_3] :
( hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A),B) = hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_3),B_3)
<=> ( A = A_3
& B = B_3 ) ) ).
fof(fact_140_Pair__eq,axiom,
! [A,B,A_3,B_3] :
( hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A),B) = hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_3),B_3)
<=> ( A = A_3
& B = B_3 ) ) ).
fof(fact_141_Pair__eq,axiom,
! [A,B,A_3,B_3] :
( hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A),B) = hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_3),B_3)
<=> ( A = A_3
& B = B_3 ) ) ).
fof(fact_142_Pair__eq,axiom,
! [A,B,A_3,B_3] :
( hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A),B) = hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_3),B_3)
<=> ( A = A_3
& B = B_3 ) ) ).
fof(fact_143_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P748443392y_bool(Pa,X1))
<=> ! [A_1,B_2] : hBOOL(hAPP_P748443392y_bool(Pa,hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,A_1),B_2))) ) ).
fof(fact_144_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P27757617y_bool(Pa,X1))
<=> ! [A_1,B_2] : hBOOL(hAPP_P27757617y_bool(Pa,hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,A_1),B_2))) ) ).
fof(fact_145_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P1384137393r_bool(Pa,X1))
<=> ! [A_1,B_2] : hBOOL(hAPP_P1384137393r_bool(Pa,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A_1),B_2))) ) ).
fof(fact_146_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P1002912327r_bool(Pa,X1))
<=> ! [A_1,B_2] : hBOOL(hAPP_P1002912327r_bool(Pa,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,A_1),B_2))) ) ).
fof(fact_147_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P801803911r_bool(Pa,X1))
<=> ! [A_1,B_2] : hBOOL(hAPP_P801803911r_bool(Pa,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,A_1),B_2))) ) ).
fof(fact_148_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P929449287r_bool(Pa,X1))
<=> ! [A_1,B_2] : hBOOL(hAPP_P929449287r_bool(Pa,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,A_1),B_2))) ) ).
fof(fact_149_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P975284999r_bool(Pa,X1))
<=> ! [A_1,B_2] : hBOOL(hAPP_P975284999r_bool(Pa,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A_1),B_2))) ) ).
fof(fact_150_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P1183499705r_bool(Pa,X1))
<=> ! [A_1,B_2] : hBOOL(hAPP_P1183499705r_bool(Pa,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A_1),B_2))) ) ).
fof(fact_151_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P1240100515r_bool(Pa,X1))
<=> ! [A_1,B_2] : hBOOL(hAPP_P1240100515r_bool(Pa,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_1),B_2))) ) ).
fof(fact_152_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P824029447r_bool(Pa,X1))
<=> ! [A_1,B_2] : hBOOL(hAPP_P824029447r_bool(Pa,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_1),B_2))) ) ).
fof(fact_153_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P2028072621l_bool(Pa,X1))
<=> ! [A_1,B_2] : hBOOL(hAPP_P2028072621l_bool(Pa,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_1),B_2))) ) ).
fof(fact_154_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P2123002749l_bool(Pa,X1))
<=> ! [A_1,B_2] : hBOOL(hAPP_P2123002749l_bool(Pa,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,A_1),B_2))) ) ).
fof(fact_155_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P738987199l_bool(Pa,X1))
<=> ! [A_1,B_2] : hBOOL(hAPP_P738987199l_bool(Pa,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A_1),B_2))) ) ).
fof(fact_156_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P2010574925r_bool(Pa,X1))
<=> ! [A_1,B_2] : hBOOL(hAPP_P2010574925r_bool(Pa,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A_1),B_2))) ) ).
fof(fact_157_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P124632071l_bool(Pa,X1))
<=> ! [A_1,B_2] : hBOOL(hAPP_P124632071l_bool(Pa,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A_1),B_2))) ) ).
fof(fact_158_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P1221872711l_bool(Pa,X1))
<=> ! [A_1,B_2] : hBOOL(hAPP_P1221872711l_bool(Pa,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A_1),B_2))) ) ).
fof(fact_159_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P378063101l_bool(Pa,X1))
<=> ! [A_1,B_2] : hBOOL(hAPP_P378063101l_bool(Pa,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_1),B_2))) ) ).
fof(fact_160_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P499022727r_bool(Pa,X1))
<=> ! [A_1,B_2] : hBOOL(hAPP_P499022727r_bool(Pa,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,A_1),B_2))) ) ).
fof(fact_161_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P1632759357r_bool(Pa,X1))
<=> ! [A_1,B_2] : hBOOL(hAPP_P1632759357r_bool(Pa,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,A_1),B_2))) ) ).
fof(fact_162_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P476431815r_bool(Pa,X1))
<=> ! [A_1,B_2] : hBOOL(hAPP_P476431815r_bool(Pa,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,A_1),B_2))) ) ).
fof(fact_163_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P2053453961y_bool(Pa,X1))
<=> ! [A_1,B_2] : hBOOL(hAPP_P2053453961y_bool(Pa,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,A_1),B_2))) ) ).
fof(fact_164_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P1926698759r_bool(Pa,X1))
<=> ! [A_1,B_2] : hBOOL(hAPP_P1926698759r_bool(Pa,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,A_1),B_2))) ) ).
fof(fact_165_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P2115985549l_bool(Pa,X1))
<=> ! [A_1,B_2] : hBOOL(hAPP_P2115985549l_bool(Pa,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,A_1),B_2))) ) ).
fof(fact_166_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P1574824955y_bool(Pa,X1))
<=> ! [A_1,B_2] : hBOOL(hAPP_P1574824955y_bool(Pa,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,A_1),B_2))) ) ).
fof(fact_167_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P1085566419p_bool(Pa,X1))
<=> ! [A_1,B_2] :
( ( is_bop(A_1)
& is_bop(B_2) )
=> hBOOL(hAPP_P1085566419p_bool(Pa,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,A_1),B_2))) ) ) ).
fof(fact_168_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P504978887l_bool(Pa,X1))
<=> ! [A_1,B_2] : hBOOL(hAPP_P504978887l_bool(Pa,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,A_1),B_2))) ) ).
fof(fact_169_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P2077557811l_bool(Pa,X1))
<=> ! [A_1,B_2] : hBOOL(hAPP_P2077557811l_bool(Pa,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,A_1),B_2))) ) ).
fof(fact_170_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P468446343l_bool(Pa,X1))
<=> ! [A_1,B_2] : hBOOL(hAPP_P468446343l_bool(Pa,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,A_1),B_2))) ) ).
fof(fact_171_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P282169671l_bool(Pa,X1))
<=> ! [A_1,B_2] : hBOOL(hAPP_P282169671l_bool(Pa,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),B_2))) ) ).
fof(fact_172_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P1708370145l_bool(Pa,X1))
<=> ! [A_1,B_2] : hBOOL(hAPP_P1708370145l_bool(Pa,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_1),B_2))) ) ).
fof(fact_173_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P159683425l_bool(Pa,X1))
<=> ! [A_1,B_2] : hBOOL(hAPP_P159683425l_bool(Pa,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_1),B_2))) ) ).
fof(fact_174_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P1235399154l_bool(Pa,X1))
<=> ! [A_1,B_2] : hBOOL(hAPP_P1235399154l_bool(Pa,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_1),B_2))) ) ).
fof(fact_175_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P449474095r_bool(Pa,X1))
<=> ! [A_1,B_2] : hBOOL(hAPP_P449474095r_bool(Pa,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),B_2))) ) ).
fof(fact_176_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P943837928l_bool(Pa,X1))
<=> ! [A_1,B_2] :
( is_bop(A_1)
=> hBOOL(hAPP_P943837928l_bool(Pa,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_1),B_2))) ) ) ).
fof(fact_177_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P929938951l_bool(Pa,X1))
<=> ! [A_1,B_2] : hBOOL(hAPP_P929938951l_bool(Pa,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),B_2))) ) ).
fof(fact_178_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P1333315679l_bool(Pa,X1))
<=> ! [A_1,B_2] : hBOOL(hAPP_P1333315679l_bool(Pa,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),B_2))) ) ).
fof(fact_179_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P71593144l_bool(Pa,X1))
<=> ! [A_1,B_2] : hBOOL(hAPP_P71593144l_bool(Pa,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_1),B_2))) ) ).
fof(fact_180_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P92196306r_bool(Pa,X1))
<=> ! [A_1,B_2] : hBOOL(hAPP_P92196306r_bool(Pa,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),B_2))) ) ).
fof(fact_181_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P1907982426r_bool(Pa,X1))
<=> ! [A_1,B_2] : hBOOL(hAPP_P1907982426r_bool(Pa,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_1),B_2))) ) ).
fof(fact_182_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P2118621157r_bool(Pa,X1))
<=> ! [A_1,B_2] : hBOOL(hAPP_P2118621157r_bool(Pa,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_1),B_2))) ) ).
fof(fact_183_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P1680401186r_bool(Pa,X1))
<=> ! [A_1,B_2] : hBOOL(hAPP_P1680401186r_bool(Pa,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),B_2))) ) ).
fof(fact_184_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P659547099r_bool(Pa,X1))
<=> ! [A_1,B_2] : hBOOL(hAPP_P659547099r_bool(Pa,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_1),B_2))) ) ).
fof(fact_185_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P828904212r_bool(Pa,X1))
<=> ! [A_1,B_2] : hBOOL(hAPP_P828904212r_bool(Pa,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_1),B_2))) ) ).
fof(fact_186_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P2014166431r_bool(Pa,X1))
<=> ! [A_1,B_2] : hBOOL(hAPP_P2014166431r_bool(Pa,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_1),B_2))) ) ).
fof(fact_187_fun__upd__def,axiom,
! [F_1,B,A,X_1] :
( ( X_1 = A
=> hAPP_l207779698on_val(fun_up1149430426on_val(F_1,A,B),X_1) = B )
& ( X_1 != A
=> hAPP_l207779698on_val(fun_up1149430426on_val(F_1,A,B),X_1) = hAPP_l207779698on_val(F_1,X_1) ) ) ).
fof(fact_188_fun__upd__def,axiom,
! [F_1,B,A,X_1] :
( ( X_1 = A
=> hAPP_l512744617ion_ty(fun_up424764369ion_ty(F_1,A,B),X_1) = B )
& ( X_1 != A
=> hAPP_l512744617ion_ty(fun_up424764369ion_ty(F_1,A,B),X_1) = hAPP_l512744617ion_ty(F_1,X_1) ) ) ).
fof(fact_189_fun__upd__def,axiom,
! [F_1,B,A,X_1] :
( ( X_1 = A
=> hAPP_n546249108on_val(fun_up2041264236on_val(F_1,A,B),X_1) = B )
& ( X_1 != A
=> hAPP_n546249108on_val(fun_up2041264236on_val(F_1,A,B),X_1) = hAPP_n546249108on_val(F_1,X_1) ) ) ).
fof(fact_190_fun__upd__def,axiom,
! [F_1,B,A,X_1] :
( ( X_1 = A
=> hAPP_P2094403585on_val(fun_up204312361on_val(F_1,A,B),X_1) = B )
& ( X_1 != A
=> hAPP_P2094403585on_val(fun_up204312361on_val(F_1,A,B),X_1) = hAPP_P2094403585on_val(F_1,X_1) ) ) ).
fof(fact_191_fun__upd__idem,axiom,
! [F_1,X_2,Y_2] :
( hAPP_l207779698on_val(F_1,X_2) = Y_2
=> fun_up1149430426on_val(F_1,X_2,Y_2) = F_1 ) ).
fof(fact_192_fun__upd__idem,axiom,
! [F_1,X_2,Y_2] :
( hAPP_l512744617ion_ty(F_1,X_2) = Y_2
=> fun_up424764369ion_ty(F_1,X_2,Y_2) = F_1 ) ).
fof(fact_193_fun__upd__idem,axiom,
! [F_1,X_2,Y_2] :
( hAPP_n546249108on_val(F_1,X_2) = Y_2
=> fun_up2041264236on_val(F_1,X_2,Y_2) = F_1 ) ).
fof(fact_194_fun__upd__idem,axiom,
! [F_1,X_2,Y_2] :
( hAPP_P2094403585on_val(F_1,X_2) = Y_2
=> fun_up204312361on_val(F_1,X_2,Y_2) = F_1 ) ).
fof(fact_195_fun__upd__other,axiom,
! [F_1,Y_2,Z_1,X_2] :
( Z_1 != X_2
=> hAPP_l207779698on_val(fun_up1149430426on_val(F_1,X_2,Y_2),Z_1) = hAPP_l207779698on_val(F_1,Z_1) ) ).
fof(fact_196_fun__upd__other,axiom,
! [F_1,Y_2,Z_1,X_2] :
( Z_1 != X_2
=> hAPP_l512744617ion_ty(fun_up424764369ion_ty(F_1,X_2,Y_2),Z_1) = hAPP_l512744617ion_ty(F_1,Z_1) ) ).
fof(fact_197_fun__upd__other,axiom,
! [F_1,Y_2,Z_1,X_2] :
( Z_1 != X_2
=> hAPP_n546249108on_val(fun_up2041264236on_val(F_1,X_2,Y_2),Z_1) = hAPP_n546249108on_val(F_1,Z_1) ) ).
fof(fact_198_fun__upd__other,axiom,
! [F_1,Y_2,Z_1,X_2] :
( Z_1 != X_2
=> hAPP_P2094403585on_val(fun_up204312361on_val(F_1,X_2,Y_2),Z_1) = hAPP_P2094403585on_val(F_1,Z_1) ) ).
fof(fact_199_fun__upd__twist,axiom,
! [M_1,B,D_1,A,C_2] :
( A != C_2
=> fun_up1149430426on_val(fun_up1149430426on_val(M_1,A,B),C_2,D_1) = fun_up1149430426on_val(fun_up1149430426on_val(M_1,C_2,D_1),A,B) ) ).
fof(fact_200_fun__upd__twist,axiom,
! [M_1,B,D_1,A,C_2] :
( A != C_2
=> fun_up424764369ion_ty(fun_up424764369ion_ty(M_1,A,B),C_2,D_1) = fun_up424764369ion_ty(fun_up424764369ion_ty(M_1,C_2,D_1),A,B) ) ).
fof(fact_201_fun__upd__twist,axiom,
! [M_1,B,D_1,A,C_2] :
( A != C_2
=> fun_up2041264236on_val(fun_up2041264236on_val(M_1,A,B),C_2,D_1) = fun_up2041264236on_val(fun_up2041264236on_val(M_1,C_2,D_1),A,B) ) ).
fof(fact_202_fun__upd__twist,axiom,
! [M_1,B,D_1,A,C_2] :
( A != C_2
=> fun_up204312361on_val(fun_up204312361on_val(M_1,A,B),C_2,D_1) = fun_up204312361on_val(fun_up204312361on_val(M_1,C_2,D_1),A,B) ) ).
fof(fact_203_fun__upd__apply,axiom,
! [F_1,Y_2,Z_1,X_2] :
( ( Z_1 = X_2
=> hAPP_l207779698on_val(fun_up1149430426on_val(F_1,X_2,Y_2),Z_1) = Y_2 )
& ( Z_1 != X_2
=> hAPP_l207779698on_val(fun_up1149430426on_val(F_1,X_2,Y_2),Z_1) = hAPP_l207779698on_val(F_1,Z_1) ) ) ).
fof(fact_204_fun__upd__apply,axiom,
! [F_1,Y_2,Z_1,X_2] :
( ( Z_1 = X_2
=> hAPP_l512744617ion_ty(fun_up424764369ion_ty(F_1,X_2,Y_2),Z_1) = Y_2 )
& ( Z_1 != X_2
=> hAPP_l512744617ion_ty(fun_up424764369ion_ty(F_1,X_2,Y_2),Z_1) = hAPP_l512744617ion_ty(F_1,Z_1) ) ) ).
fof(fact_205_fun__upd__apply,axiom,
! [F_1,Y_2,Z_1,X_2] :
( ( Z_1 = X_2
=> hAPP_n546249108on_val(fun_up2041264236on_val(F_1,X_2,Y_2),Z_1) = Y_2 )
& ( Z_1 != X_2
=> hAPP_n546249108on_val(fun_up2041264236on_val(F_1,X_2,Y_2),Z_1) = hAPP_n546249108on_val(F_1,Z_1) ) ) ).
fof(fact_206_fun__upd__apply,axiom,
! [F_1,Y_2,Z_1,X_2] :
( ( Z_1 = X_2
=> hAPP_P2094403585on_val(fun_up204312361on_val(F_1,X_2,Y_2),Z_1) = Y_2 )
& ( Z_1 != X_2
=> hAPP_P2094403585on_val(fun_up204312361on_val(F_1,X_2,Y_2),Z_1) = hAPP_P2094403585on_val(F_1,Z_1) ) ) ).
fof(fact_207_fun__upd__same,axiom,
! [F_1,X_2,Y_2] : hAPP_l207779698on_val(fun_up1149430426on_val(F_1,X_2,Y_2),X_2) = Y_2 ).
fof(fact_208_fun__upd__same,axiom,
! [F_1,X_2,Y_2] : hAPP_l512744617ion_ty(fun_up424764369ion_ty(F_1,X_2,Y_2),X_2) = Y_2 ).
fof(fact_209_fun__upd__same,axiom,
! [F_1,X_2,Y_2] : hAPP_n546249108on_val(fun_up2041264236on_val(F_1,X_2,Y_2),X_2) = Y_2 ).
fof(fact_210_fun__upd__same,axiom,
! [F_1,X_2,Y_2] : hAPP_P2094403585on_val(fun_up204312361on_val(F_1,X_2,Y_2),X_2) = Y_2 ).
fof(fact_211_fun__upd__upd,axiom,
! [F_1,X_2,Y_2,Z_1] : fun_up1149430426on_val(fun_up1149430426on_val(F_1,X_2,Y_2),X_2,Z_1) = fun_up1149430426on_val(F_1,X_2,Z_1) ).
fof(fact_212_fun__upd__upd,axiom,
! [F_1,X_2,Y_2,Z_1] : fun_up424764369ion_ty(fun_up424764369ion_ty(F_1,X_2,Y_2),X_2,Z_1) = fun_up424764369ion_ty(F_1,X_2,Z_1) ).
fof(fact_213_fun__upd__upd,axiom,
! [F_1,X_2,Y_2,Z_1] : fun_up2041264236on_val(fun_up2041264236on_val(F_1,X_2,Y_2),X_2,Z_1) = fun_up2041264236on_val(F_1,X_2,Z_1) ).
fof(fact_214_fun__upd__upd,axiom,
! [F_1,X_2,Y_2,Z_1] : fun_up204312361on_val(fun_up204312361on_val(F_1,X_2,Y_2),X_2,Z_1) = fun_up204312361on_val(F_1,X_2,Z_1) ).
fof(fact_215_fun__upd__idem__iff,axiom,
! [F_1,X_2,Y_2] :
( fun_up1149430426on_val(F_1,X_2,Y_2) = F_1
<=> hAPP_l207779698on_val(F_1,X_2) = Y_2 ) ).
fof(fact_216_fun__upd__idem__iff,axiom,
! [F_1,X_2,Y_2] :
( fun_up424764369ion_ty(F_1,X_2,Y_2) = F_1
<=> hAPP_l512744617ion_ty(F_1,X_2) = Y_2 ) ).
fof(fact_217_fun__upd__idem__iff,axiom,
! [F_1,X_2,Y_2] :
( fun_up2041264236on_val(F_1,X_2,Y_2) = F_1
<=> hAPP_n546249108on_val(F_1,X_2) = Y_2 ) ).
fof(fact_218_fun__upd__idem__iff,axiom,
! [F_1,X_2,Y_2] :
( fun_up204312361on_val(F_1,X_2,Y_2) = F_1
<=> hAPP_P2094403585on_val(F_1,X_2) = Y_2 ) ).
fof(fact_219_widen__refl,axiom,
! [P_4,T_7] : hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(P_4),T_7),T_7)) ).
fof(fact_220_red__preserves__hconf,axiom,
! [Ea,Ta,Eb,Hb,Lb,E_b,H_b,L_b,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))),red(Pa)))
=> ( hBOOL(wTrt_1(Pa,Hb,Ea,Eb,Ta))
=> ( hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(Pa),Hb))
=> hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(Pa),H_b)) ) ) ) ).
fof(fact_221_red__preserves__lconf,axiom,
! [Ea,Ta,Eb,Hb,Lb,E_b,H_b,L_b,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))),red(Pa)))
=> ( hBOOL(wTrt_1(Pa,Hb,Ea,Eb,Ta))
=> ( hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),Hb),Lb),Ea))
=> hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),H_b),L_b),Ea)) ) ) ) ).
fof(fact_222_prod__cases3,axiom,
! [Y_5] :
~ ! [A_1,B_2,C_4] : Y_5 != hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A_1),hAPP_P976433298t_char(hAPP_l2048923787t_char(produc2016959032t_char,B_2),C_4)) ).
fof(fact_223_prod__cases3,axiom,
! [Y_2] :
~ ! [A_1,B_2,C_4] : Y_2 != hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B_2),C_4)) ).
fof(fact_224_prod__cases3,axiom,
! [Y_2] :
~ ! [A_1,B_2,C_4] : Y_2 != hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,B_2),C_4)) ).
fof(fact_225_prod__cases3,axiom,
! [Y_5] :
~ ! [A_1,B_2,C_4] :
( is_bop(A_1)
=> Y_5 != hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_1),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,B_2),C_4)) ) ).
fof(fact_226_prod__cases3,axiom,
! [Y_2] :
~ ! [A_1,B_2,C_4] : Y_2 != hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,B_2),C_4)) ).
fof(fact_227_prod__cases3,axiom,
! [Y_2] :
~ ! [A_1,B_2,C_4] : Y_2 != hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,B_2),C_4)) ).
fof(fact_228_prod__cases3,axiom,
! [Y_5] :
~ ! [A_1,B_2,C_4] : Y_5 != hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,B_2),C_4)) ).
fof(fact_229_prod__cases3,axiom,
! [Y_5] :
~ ! [A_1,B_2,C_4] : Y_5 != hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_1),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,B_2),C_4)) ).
fof(fact_230_prod__cases3,axiom,
! [Y_5] :
~ ! [A_1,B_2,C_4] : Y_5 != hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,B_2),C_4)) ).
fof(fact_231_prod__cases3,axiom,
! [Y_5] :
~ ! [A_1,B_2,C_4] : Y_5 != hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_1),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,B_2),C_4)) ).
fof(fact_232_prod__cases3,axiom,
! [Y_2] :
~ ! [A_1,B_2,C_4] : Y_2 != hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_1),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B_2),C_4)) ).
fof(fact_233_prod__cases3,axiom,
! [Y_2] :
~ ! [A_1,B_2,C_4] : Y_2 != hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,B_2),C_4)) ).
fof(fact_234_prod__cases3,axiom,
! [Y_2] :
~ ! [A_1,B_2,C_4] : Y_2 != hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A_1),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,B_2),C_4)) ).
fof(fact_235_prod__cases3,axiom,
! [Y_5] :
~ ! [A_1,B_2,C_4] : Y_5 != hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A_1),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,B_2),C_4)) ).
fof(fact_236_prod__cases3,axiom,
! [Y_5] :
~ ! [A_1,B_2,C_4] :
( is_bop(B_2)
=> Y_5 != hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A_1),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,B_2),C_4)) ) ).
fof(fact_237_prod__cases3,axiom,
! [Y_5] :
~ ! [A_1,B_2,C_4] : Y_5 != hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,A_1),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,B_2),C_4)) ).
fof(fact_238_prod__cases3,axiom,
! [Y_2] :
~ ! [A_1,B_2,C_4] : Y_2 != hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_1),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B_2),C_4)) ).
fof(fact_239_prod__cases3,axiom,
! [Y_5] :
~ ! [A_1,B_2,C_4] : Y_5 != hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_1),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,B_2),C_4)) ).
fof(fact_240_prod__cases3,axiom,
! [Y_5] :
~ ! [A_1,B_2,C_4] : Y_5 != hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,B_2),C_4)) ).
fof(fact_241_prod__cases3,axiom,
! [Y_5] :
~ ! [A_1,B_2,C_4] : Y_5 != hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A_1),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,B_2),C_4)) ).
fof(fact_242_prod__cases3,axiom,
! [Y_5] :
~ ! [A_1,B_2,C_4] : Y_5 != hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A_1),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,B_2),C_4)) ).
fof(fact_243_prod__cases3,axiom,
! [Y_5] :
~ ! [A_1,B_2,C_4] : Y_5 != hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,A_1),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,B_2),C_4)) ).
fof(fact_244_prod__cases3,axiom,
! [Y_5] :
~ ! [A_1,B_2,C_4] : Y_5 != hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,A_1),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,B_2),C_4)) ).
fof(fact_245_prod__cases3,axiom,
! [Y_5] :
~ ! [A_1,B_2,C_4] : Y_5 != hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,A_1),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,B_2),C_4)) ).
fof(fact_246_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_2,C_4] : hBOOL(hAPP_P1384137393r_bool(Pa,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A_1),hAPP_P976433298t_char(hAPP_l2048923787t_char(produc2016959032t_char,B_2),C_4))))
=> hBOOL(hAPP_P1384137393r_bool(Pa,X_2)) ) ).
fof(fact_247_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_2,C_4] : hBOOL(hAPP_P282169671l_bool(Pa,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B_2),C_4))))
=> hBOOL(hAPP_P282169671l_bool(Pa,X_2)) ) ).
fof(fact_248_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_2,C_4] : hBOOL(hAPP_P1708370145l_bool(Pa,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,B_2),C_4))))
=> hBOOL(hAPP_P1708370145l_bool(Pa,X_2)) ) ).
fof(fact_249_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_2,C_4] :
( is_bop(A_1)
=> hBOOL(hAPP_P943837928l_bool(Pa,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_1),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,B_2),C_4)))) )
=> hBOOL(hAPP_P943837928l_bool(Pa,X_2)) ) ).
fof(fact_250_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_2,C_4] : hBOOL(hAPP_P1333315679l_bool(Pa,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,B_2),C_4))))
=> hBOOL(hAPP_P1333315679l_bool(Pa,X_2)) ) ).
fof(fact_251_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_2,C_4] : hBOOL(hAPP_P71593144l_bool(Pa,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,B_2),C_4))))
=> hBOOL(hAPP_P71593144l_bool(Pa,X_2)) ) ).
fof(fact_252_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_2,C_4] : hBOOL(hAPP_P92196306r_bool(Pa,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,B_2),C_4))))
=> hBOOL(hAPP_P92196306r_bool(Pa,X_2)) ) ).
fof(fact_253_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_2,C_4] : hBOOL(hAPP_P1907982426r_bool(Pa,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_1),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,B_2),C_4))))
=> hBOOL(hAPP_P1907982426r_bool(Pa,X_2)) ) ).
fof(fact_254_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_2,C_4] : hBOOL(hAPP_P1680401186r_bool(Pa,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,B_2),C_4))))
=> hBOOL(hAPP_P1680401186r_bool(Pa,X_2)) ) ).
fof(fact_255_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_2,C_4] : hBOOL(hAPP_P659547099r_bool(Pa,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_1),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,B_2),C_4))))
=> hBOOL(hAPP_P659547099r_bool(Pa,X_2)) ) ).
fof(fact_256_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_2,C_4] : hBOOL(hAPP_P378063101l_bool(Pa,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_1),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B_2),C_4))))
=> hBOOL(hAPP_P378063101l_bool(Pa,X_2)) ) ).
fof(fact_257_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_2,C_4] : hBOOL(hAPP_P1221872711l_bool(Pa,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,B_2),C_4))))
=> hBOOL(hAPP_P1221872711l_bool(Pa,X_2)) ) ).
fof(fact_258_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_2,C_4] : hBOOL(hAPP_P124632071l_bool(Pa,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A_1),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,B_2),C_4))))
=> hBOOL(hAPP_P124632071l_bool(Pa,X_2)) ) ).
fof(fact_259_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_2,C_4] : hBOOL(hAPP_P2010574925r_bool(Pa,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A_1),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,B_2),C_4))))
=> hBOOL(hAPP_P2010574925r_bool(Pa,X_2)) ) ).
fof(fact_260_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_2,C_4] :
( is_bop(B_2)
=> hBOOL(hAPP_P738987199l_bool(Pa,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A_1),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,B_2),C_4)))) )
=> hBOOL(hAPP_P738987199l_bool(Pa,X_2)) ) ).
fof(fact_261_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_2,C_4] : hBOOL(hAPP_P2123002749l_bool(Pa,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,A_1),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,B_2),C_4))))
=> hBOOL(hAPP_P2123002749l_bool(Pa,X_2)) ) ).
fof(fact_262_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_2,C_4] : hBOOL(hAPP_P2028072621l_bool(Pa,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_1),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B_2),C_4))))
=> hBOOL(hAPP_P2028072621l_bool(Pa,X_2)) ) ).
fof(fact_263_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_2,C_4] : hBOOL(hAPP_P824029447r_bool(Pa,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_1),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,B_2),C_4))))
=> hBOOL(hAPP_P824029447r_bool(Pa,X_2)) ) ).
fof(fact_264_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_2,C_4] : hBOOL(hAPP_P1240100515r_bool(Pa,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,B_2),C_4))))
=> hBOOL(hAPP_P1240100515r_bool(Pa,X_2)) ) ).
fof(fact_265_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_2,C_4] : hBOOL(hAPP_P1183499705r_bool(Pa,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A_1),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,B_2),C_4))))
=> hBOOL(hAPP_P1183499705r_bool(Pa,X_2)) ) ).
fof(fact_266_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_2,C_4] : hBOOL(hAPP_P975284999r_bool(Pa,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A_1),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,B_2),C_4))))
=> hBOOL(hAPP_P975284999r_bool(Pa,X_2)) ) ).
fof(fact_267_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_2,C_4] : hBOOL(hAPP_P929449287r_bool(Pa,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,A_1),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,B_2),C_4))))
=> hBOOL(hAPP_P929449287r_bool(Pa,X_2)) ) ).
fof(fact_268_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_2,C_4] : hBOOL(hAPP_P801803911r_bool(Pa,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,A_1),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,B_2),C_4))))
=> hBOOL(hAPP_P801803911r_bool(Pa,X_2)) ) ).
fof(fact_269_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_2,C_4] : hBOOL(hAPP_P1002912327r_bool(Pa,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,A_1),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,B_2),C_4))))
=> hBOOL(hAPP_P1002912327r_bool(Pa,X_2)) ) ).
fof(fact_270_red__preserves__sconf,axiom,
! [Ea,Ta,Eb,S,E_b,S_2,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),red(Pa)))
=> ( hBOOL(wTrt_1(Pa,hp(S),Ea,Eb,Ta))
=> ( hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(Pa,Ea),S))
=> hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(Pa,Ea),S_2)) ) ) ) ).
fof(fact_271_pred__equals__eq2,axiom,
! [S_4,R_2] :
( ! [X_1,Xa] :
( hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,X_1),Xa)),R_2))
<=> hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,X_1),Xa)),S_4)) )
<=> R_2 = S_4 ) ).
fof(fact_272_pred__equals__eq2,axiom,
! [S_4,R_2] :
( ! [X_1,Xa] :
( hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,X_1),Xa)),R_2))
<=> hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,X_1),Xa)),S_4)) )
<=> R_2 = S_4 ) ).
fof(fact_273_pred__equals__eq2,axiom,
! [S_4,R_2] :
( ! [X_1,Xa] :
( hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,X_1),Xa)),R_2))
<=> hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,X_1),Xa)),S_4)) )
<=> R_2 = S_4 ) ).
fof(fact_274_pred__equals__eq2,axiom,
! [S_4,R_2] :
( ! [X_1,Xa] :
( hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,X_1),Xa)),R_2))
<=> hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,X_1),Xa)),S_4)) )
<=> R_2 = S_4 ) ).
fof(fact_275_pred__equals__eq2,axiom,
! [S_4,R_2] :
( ! [X_1,Xa] :
( hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,X_1),Xa)),R_2))
<=> hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,X_1),Xa)),S_4)) )
<=> R_2 = S_4 ) ).
fof(fact_276_pred__equals__eq2,axiom,
! [S_4,R_2] :
( ! [X_1,Xa] :
( hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,X_1),Xa)),R_2))
<=> hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,X_1),Xa)),S_4)) )
<=> R_2 = S_4 ) ).
fof(fact_277_pred__equals__eq2,axiom,
! [S_4,R_2] :
( ! [X_1,Xa] :
( hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,X_1),Xa)),R_2))
<=> hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,X_1),Xa)),S_4)) )
<=> R_2 = S_4 ) ).
fof(fact_278_pred__equals__eq2,axiom,
! [S_4,R_2] :
( ( is_fun1083000568p_bool(S_4)
& is_fun1083000568p_bool(R_2) )
=> ( ! [X_1,Xa] :
( ( is_bop(X_1)
& is_bop(Xa) )
=> ( hBOOL(hAPP_f1854361213l_bool(hAPP_P1034346913l_bool(member978285664op_bop,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,X_1),Xa)),R_2))
<=> hBOOL(hAPP_f1854361213l_bool(hAPP_P1034346913l_bool(member978285664op_bop,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,X_1),Xa)),S_4)) ) )
<=> R_2 = S_4 ) ) ).
fof(fact_279_pred__equals__eq2,axiom,
! [S_4,R_2] :
( ! [X_1,Xa] :
( hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,X_1),Xa)),R_2))
<=> hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,X_1),Xa)),S_4)) )
<=> R_2 = S_4 ) ).
fof(fact_280_pred__equals__eq2,axiom,
! [S_4,R_2] :
( ! [X_1,Xa] :
( hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,X_1),Xa)),R_2))
<=> hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,X_1),Xa)),S_4)) )
<=> R_2 = S_4 ) ).
fof(fact_281_pred__equals__eq2,axiom,
! [S_4,R_2] :
( ! [X_1,Xa] :
( hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,X_1),Xa)),R_2))
<=> hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,X_1),Xa)),S_4)) )
<=> R_2 = S_4 ) ).
fof(fact_282_pred__equals__eq2,axiom,
! [S_4,R_2] :
( ! [X_1,Xa] :
( hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,X_1),Xa)),R_2))
<=> hBOOL(hAPP_f91506671l_bool(hAPP_P2015860941l_bool(member840932460on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,X_1),Xa)),S_4)) )
<=> R_2 = S_4 ) ).
fof(fact_283_pred__equals__eq2,axiom,
! [S_4,R_2] :
( ! [X_1,Xa] :
( hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X_1),Xa)),R_2))
<=> hBOOL(hAPP_f966411375l_bool(hAPP_P998768845l_bool(member763590124on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X_1),Xa)),S_4)) )
<=> R_2 = S_4 ) ).
fof(fact_284_pred__equals__eq2,axiom,
! [S_4,R_2] :
( ! [X_1,Xa] :
( hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,X_1),Xa)),R_2))
<=> hBOOL(hAPP_f1134950784l_bool(hAPP_P1217996045l_bool(member1542417277on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,X_1),Xa)),S_4)) )
<=> R_2 = S_4 ) ).
fof(fact_285_pred__equals__eq2,axiom,
! [S_4,R_2] :
( ! [X_1,Xa] :
( is_bop(X_1)
=> ( hBOOL(hAPP_f742333458l_bool(hAPP_P1653675595l_bool(member1417904245al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,X_1),Xa)),R_2))
<=> hBOOL(hAPP_f742333458l_bool(hAPP_P1653675595l_bool(member1417904245al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,X_1),Xa)),S_4)) ) )
<=> R_2 = S_4 ) ).
fof(fact_286_pred__equals__eq2,axiom,
! [S_4,R_2] :
( ! [X_1,Xa] :
( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,X_1),Xa)),R_2))
<=> hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,X_1),Xa)),S_4)) )
<=> R_2 = S_4 ) ).
fof(fact_287_pred__equals__eq2,axiom,
! [S_4,R_2] :
( ! [X_1,Xa] :
( hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,X_1),Xa)),R_2))
<=> hBOOL(hAPP_f837795298l_bool(hAPP_P483670507l_bool(member1972431429on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,X_1),Xa)),S_4)) )
<=> R_2 = S_4 ) ).
fof(fact_288_pred__equals__eq2,axiom,
! [S_4,R_2] :
( ! [X_1,Xa] :
( hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,X_1),Xa)),R_2))
<=> hBOOL(hAPP_f1780084320l_bool(hAPP_P1472618637l_bool(member133545693t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,X_1),Xa)),S_4)) )
<=> R_2 = S_4 ) ).
fof(fact_289_pred__equals__eq2,axiom,
! [S_4,R_2] :
( ! [X_1,Xa] :
( hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,X_1),Xa)),R_2))
<=> hBOOL(hAPP_f1746574980l_bool(hAPP_P1198052655l_bool(member140606439t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,X_1),Xa)),S_4)) )
<=> R_2 = S_4 ) ).
fof(fact_290_pred__equals__eq2,axiom,
! [S_4,R_2] :
( ! [X_1,Xa] :
( hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,X_1),Xa)),R_2))
<=> hBOOL(hAPP_f1314764175l_bool(hAPP_P845017029l_bool(member699351154t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,X_1),Xa)),S_4)) )
<=> R_2 = S_4 ) ).
fof(fact_291_pred__equals__eq2,axiom,
! [S_4,R_2] :
( ! [X_1,Xa] :
( hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,X_1),Xa)),R_2))
<=> hBOOL(hAPP_f2050077417l_bool(hAPP_P1517699917l_bool(member1771544038t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,X_1),Xa)),S_4)) )
<=> R_2 = S_4 ) ).
fof(fact_292_pred__equals__eq2,axiom,
! [S_4,R_2] :
( ! [X_1,Xa] :
( hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,X_1),Xa)),R_2))
<=> hBOOL(hAPP_f1161798306l_bool(hAPP_P1327510541l_bool(member1379348767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,X_1),Xa)),S_4)) )
<=> R_2 = S_4 ) ).
fof(fact_293_pred__equals__eq2,axiom,
! [S_4,R_2] :
( ! [X_1,Xa] :
( hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,X_1),Xa)),R_2))
<=> hBOOL(hAPP_f82569901l_bool(hAPP_P1293136973l_bool(member1840112042t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,X_1),Xa)),S_4)) )
<=> R_2 = S_4 ) ).
fof(fact_294_pred__equals__eq2,axiom,
! [S_4,R_2] :
( ! [X_1,Xa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X_1),Xa)),R_2))
<=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X_1),Xa)),S_4)) )
<=> R_2 = S_4 ) ).
fof(fact_295_pred__equals__eq2,axiom,
! [S_4,R_2] :
( ! [X_1,Xa] :
( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,X_1),Xa)),R_2))
<=> hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,X_1),Xa)),S_4)) )
<=> R_2 = S_4 ) ).
fof(fact_296_pred__equals__eq2,axiom,
! [S_4,R_2] :
( ! [X_1,Xa] :
( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,X_1),Xa)),R_2))
<=> hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,X_1),Xa)),S_4)) )
<=> R_2 = S_4 ) ).
fof(fact_297_pred__equals__eq2,axiom,
! [S_4,R_2] :
( ! [X_1,Xa] :
( hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,X_1),Xa)),R_2))
<=> hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,X_1),Xa)),S_4)) )
<=> R_2 = S_4 ) ).
fof(fact_298_pred__equals__eq2,axiom,
! [S_4,R_2] :
( ! [X_1,Xa] :
( hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,X_1),Xa)),R_2))
<=> hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,X_1),Xa)),S_4)) )
<=> R_2 = S_4 ) ).
fof(fact_299_prod_Oexhaust,axiom,
! [Y_4] :
~ ! [A_1,B_2] : Y_4 != hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_1),B_2) ).
fof(fact_300_prod_Oexhaust,axiom,
! [Y_4] :
~ ! [A_1,B_2] : Y_4 != hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_1),B_2) ).
fof(fact_301_prod_Oexhaust,axiom,
! [Y_4] :
~ ! [A_1,B_2] : Y_4 != hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_1),B_2) ).
fof(fact_302_prod_Oexhaust,axiom,
! [Y_4] :
~ ! [A_1,B_2] : Y_4 != hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),B_2) ).
fof(fact_303_prod_Oexhaust,axiom,
! [Y_4] :
~ ! [A_1,B_2] : Y_4 != hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_1),B_2) ).
fof(fact_304_prod_Oexhaust,axiom,
! [Y_4] :
~ ! [A_1,B_2] : Y_4 != hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_1),B_2) ).
fof(fact_305_prod_Oexhaust,axiom,
! [Y_4] :
~ ! [A_1,B_2] : Y_4 != hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),B_2) ).
fof(fact_306_prod_Oexhaust,axiom,
! [Y_2] :
~ ! [A_1,B_2] : Y_2 != hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_1),B_2) ).
fof(fact_307_prod_Oexhaust,axiom,
! [Y_2] :
~ ! [A_1,B_2] : Y_2 != hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),B_2) ).
fof(fact_308_prod_Oexhaust,axiom,
! [Y_4] :
~ ! [A_1,B_2] : Y_4 != hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),B_2) ).
fof(fact_309_prod_Oexhaust,axiom,
! [Y_4] :
~ ! [A_1,B_2] :
( is_bop(A_1)
=> Y_4 != hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_1),B_2) ) ).
fof(fact_310_prod_Oexhaust,axiom,
! [Y_4] :
~ ! [A_1,B_2] : Y_4 != hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),B_2) ).
fof(fact_311_prod_Oexhaust,axiom,
! [Y_2] :
~ ! [A_1,B_2] : Y_2 != hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_1),B_2) ).
fof(fact_312_prod_Oexhaust,axiom,
! [Y_2] :
~ ! [A_1,B_2] : Y_2 != hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_1),B_2) ).
fof(fact_313_prod_Oexhaust,axiom,
! [Y_2] :
~ ! [A_1,B_2] : Y_2 != hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_1),B_2) ).
fof(fact_314_prod_Oexhaust,axiom,
! [Y_2] :
~ ! [A_1,B_2] : Y_2 != hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),B_2) ).
fof(fact_315_PairE,axiom,
! [P_3] :
~ ! [X_1,Y_1] : P_3 != hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,X_1),Y_1) ).
fof(fact_316_PairE,axiom,
! [P_3] :
~ ! [X_1,Y_1] : P_3 != hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,X_1),Y_1) ).
fof(fact_317_PairE,axiom,
! [P_3] :
~ ! [X_1,Y_1] : P_3 != hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,X_1),Y_1) ).
fof(fact_318_PairE,axiom,
! [P_3] :
~ ! [X_1,Y_1] : P_3 != hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,X_1),Y_1) ).
fof(fact_319_PairE,axiom,
! [P_3] :
~ ! [X_1,Y_1] : P_3 != hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,X_1),Y_1) ).
fof(fact_320_PairE,axiom,
! [P_3] :
~ ! [X_1,Y_1] : P_3 != hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,X_1),Y_1) ).
fof(fact_321_PairE,axiom,
! [P_3] :
~ ! [X_1,Y_1] : P_3 != hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,X_1),Y_1) ).
fof(fact_322_PairE,axiom,
! [P_1] :
~ ! [X_1,Y_1] : P_1 != hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,X_1),Y_1) ).
fof(fact_323_PairE,axiom,
! [P_1] :
~ ! [X_1,Y_1] : P_1 != hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,X_1),Y_1) ).
fof(fact_324_PairE,axiom,
! [P_3] :
~ ! [X_1,Y_1] : P_3 != hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,X_1),Y_1) ).
fof(fact_325_PairE,axiom,
! [P_3] :
~ ! [X_1,Y_1] :
( is_bop(X_1)
=> P_3 != hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,X_1),Y_1) ) ).
fof(fact_326_PairE,axiom,
! [P_3] :
~ ! [X_1,Y_1] : P_3 != hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,X_1),Y_1) ).
fof(fact_327_PairE,axiom,
! [P_1] :
~ ! [X_1,Y_1] : P_1 != hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,X_1),Y_1) ).
fof(fact_328_PairE,axiom,
! [P_1] :
~ ! [X_1,Y_1] : P_1 != hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X_1),Y_1) ).
fof(fact_329_PairE,axiom,
! [P_1] :
~ ! [X_1,Y_1] : P_1 != hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,X_1),Y_1) ).
fof(fact_330_PairE,axiom,
! [P_1] :
~ ! [X_1,Y_1] : P_1 != hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X_1),Y_1) ).
fof(fact_331_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P2014166431r_bool(Pa,X1))
<=> ? [A_1,B_2] : hBOOL(hAPP_P2014166431r_bool(Pa,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_1),B_2))) ) ).
fof(fact_332_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P828904212r_bool(Pa,X1))
<=> ? [A_1,B_2] : hBOOL(hAPP_P828904212r_bool(Pa,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_1),B_2))) ) ).
fof(fact_333_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P659547099r_bool(Pa,X1))
<=> ? [A_1,B_2] : hBOOL(hAPP_P659547099r_bool(Pa,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_1),B_2))) ) ).
fof(fact_334_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P1680401186r_bool(Pa,X1))
<=> ? [A_1,B_2] : hBOOL(hAPP_P1680401186r_bool(Pa,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),B_2))) ) ).
fof(fact_335_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P2118621157r_bool(Pa,X1))
<=> ? [A_1,B_2] : hBOOL(hAPP_P2118621157r_bool(Pa,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_1),B_2))) ) ).
fof(fact_336_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P1907982426r_bool(Pa,X1))
<=> ? [A_1,B_2] : hBOOL(hAPP_P1907982426r_bool(Pa,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_1),B_2))) ) ).
fof(fact_337_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P92196306r_bool(Pa,X1))
<=> ? [A_1,B_2] : hBOOL(hAPP_P92196306r_bool(Pa,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),B_2))) ) ).
fof(fact_338_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P71593144l_bool(Pa,X1))
<=> ? [A_1,B_2] : hBOOL(hAPP_P71593144l_bool(Pa,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_1),B_2))) ) ).
fof(fact_339_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P1333315679l_bool(Pa,X1))
<=> ? [A_1,B_2] : hBOOL(hAPP_P1333315679l_bool(Pa,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),B_2))) ) ).
fof(fact_340_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P929938951l_bool(Pa,X1))
<=> ? [A_1,B_2] : hBOOL(hAPP_P929938951l_bool(Pa,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),B_2))) ) ).
fof(fact_341_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P943837928l_bool(Pa,X1))
<=> ? [A_1,B_2] :
( is_bop(A_1)
& hBOOL(hAPP_P943837928l_bool(Pa,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_1),B_2))) ) ) ).
fof(fact_342_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P449474095r_bool(Pa,X1))
<=> ? [A_1,B_2] : hBOOL(hAPP_P449474095r_bool(Pa,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),B_2))) ) ).
fof(fact_343_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P1235399154l_bool(Pa,X1))
<=> ? [A_1,B_2] : hBOOL(hAPP_P1235399154l_bool(Pa,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_1),B_2))) ) ).
fof(fact_344_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P159683425l_bool(Pa,X1))
<=> ? [A_1,B_2] : hBOOL(hAPP_P159683425l_bool(Pa,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_1),B_2))) ) ).
fof(fact_345_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P1708370145l_bool(Pa,X1))
<=> ? [A_1,B_2] : hBOOL(hAPP_P1708370145l_bool(Pa,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_1),B_2))) ) ).
fof(fact_346_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P282169671l_bool(Pa,X1))
<=> ? [A_1,B_2] : hBOOL(hAPP_P282169671l_bool(Pa,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),B_2))) ) ).
fof(fact_347_widen__trans,axiom,
! [T_6,P_2,S_6,U_1] :
( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(P_2),S_6),U_1))
=> ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(P_2),U_1),T_6))
=> hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(P_2),S_6),T_6)) ) ) ).
fof(fact_348_InitBlockRed_I5_J,axiom,
hBOOL(wTrt_1(p,ha,e,block_list_char(v_1,t_1,seq_list_char(lAss_list_char(v_1,hAPP_v834067052t_char(val_list_char,v)),ea)),t)) ).
fof(fact_349_sconf__def,axiom,
! [Pa,Ea,S] :
( hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(Pa,Ea),S))
<=> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,cOMBS_570216337l_bool(hAPP_f1523875321l_bool(hAPP_f592397849l_bool(cOMBB_1718333400on_val,cOMBB_383678192on_val),hAPP_f1452292669l_bool(hAPP_f1977633121l_bool(cOMBB_1303934920on_val,fconj),hconf_97414254t_char(Pa))),hAPP_f550652027l_bool(hAPP_f838396643l_bool(cOMBC_2027949654l_bool,hAPP_f857351829l_bool(hAPP_f348318673l_bool(cOMBB_1518282696on_val,cOMBC_832625297y_bool),lconf_496643946t_char(Pa))),Ea))),S)) ) ).
fof(fact_350_red__hext__incr,axiom,
! [Eb,Hb,Lb,E_b,H_b,L_b,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))),red(Pa)))
=> hBOOL(hext(Hb,H_b)) ) ).
fof(fact_351_red__preserves__defass,axiom,
! [Eb,Hb,Lb,E_b,H_b,L_b,Pa] :
( hBOOL(wf_pro755087577t_char(wf_J_mdecl,Pa))
=> ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))),red(Pa)))
=> ( hBOOL(d_list_char(Eb,hAPP_f363827556r_bool(some_f80346385r_bool,dom_list_char_val(Lb))))
=> hBOOL(d_list_char(E_b,hAPP_f363827556r_bool(some_f80346385r_bool,dom_list_char_val(L_b)))) ) ) ) ).
fof(fact_352_option_Oinject,axiom,
! [A,A_3] :
( hAPP_nat_option_nat(some_nat,A) = hAPP_nat_option_nat(some_nat,A_3)
<=> A = A_3 ) ).
fof(fact_353_option_Oinject,axiom,
! [A,A_3] :
( hAPP_P1510515380on_val(some_P948696889on_val,A) = hAPP_P1510515380on_val(some_P948696889on_val,A_3)
<=> A = A_3 ) ).
fof(fact_354_option_Oinject,axiom,
! [A,A_3] :
( hAPP_ty_option_ty(some_ty,A) = hAPP_ty_option_ty(some_ty,A_3)
<=> A = A_3 ) ).
fof(fact_355_option_Oinject,axiom,
! [A,A_3] :
( hAPP_f363827556r_bool(some_f80346385r_bool,A) = hAPP_f363827556r_bool(some_f80346385r_bool,A_3)
<=> A = A_3 ) ).
fof(fact_356_option_Oinject,axiom,
! [A,A_3] :
( hAPP_val_option_val(some_val,A) = hAPP_val_option_val(some_val,A_3)
<=> A = A_3 ) ).
fof(fact_357_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P2014166431r_bool(F_1,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A),B)))
=> hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(produc288369490r_bool(F_1),A),B)) ) ).
fof(fact_358_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P828904212r_bool(F_1,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A),B)))
=> hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(produc2116052801r_bool(F_1),A),B)) ) ).
fof(fact_359_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P659547099r_bool(F_1,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A),B)))
=> hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(produc266042248r_bool(F_1),A),B)) ) ).
fof(fact_360_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P1680401186r_bool(F_1,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A),B)))
=> hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(produc1588781647r_bool(F_1),A),B)) ) ).
fof(fact_361_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P2118621157r_bool(F_1,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A),B)))
=> hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(produc550034914r_bool(F_1),A),B)) ) ).
fof(fact_362_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P1907982426r_bool(F_1,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A),B)))
=> hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(produc156891095r_bool(F_1),A),B)) ) ).
fof(fact_363_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P92196306r_bool(F_1,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A),B)))
=> hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(produc1574020101r_bool(F_1),A),B)) ) ).
fof(fact_364_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P71593144l_bool(F_1,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A),B)))
=> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(produc1838470831l_bool(F_1),A),B)) ) ).
fof(fact_365_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P1333315679l_bool(F_1,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B)))
=> hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(produc2053127004l_bool(F_1),A),B)) ) ).
fof(fact_366_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P929938951l_bool(F_1,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),B)))
=> hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(produc886919678l_bool(F_1),A),B)) ) ).
fof(fact_367_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P943837928l_bool(F_1,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A),B)))
=> hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(produc1555310053l_bool(F_1),A),B)) ) ).
fof(fact_368_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P449474095r_bool(F_1,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B)))
=> hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(produc95371820r_bool(F_1),A),B)) ) ).
fof(fact_369_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P1235399154l_bool(F_1,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A),B)))
=> hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(produc481748255l_bool(F_1),A),B)) ) ).
fof(fact_370_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P159683425l_bool(F_1,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A),B)))
=> hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(produc2062775566l_bool(F_1),A),B)) ) ).
fof(fact_371_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P1708370145l_bool(F_1,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A),B)))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(produc1911975310l_bool(F_1),A),B)) ) ).
fof(fact_372_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P282169671l_bool(F_1,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B)))
=> hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(produc1159035454l_bool(F_1),A),B)) ) ).
fof(fact_373_red__lcl__add,axiom,
! [L_0,Eb,Hb,Lb,E_b,H_b,L_b,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))),red(Pa)))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),map_ad325961431ar_val(L_0,Lb)))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),map_ad325961431ar_val(L_0,L_b))))),red(Pa))) ) ).
fof(fact_374_lconf__upd,axiom,
! [Va_1,Va,Ta,Pa,Hb,Lb,Ea] :
( hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),Hb),Lb),Ea))
=> ( hBOOL(conf_P373316194t_char(Pa,Hb,Va,Ta))
=> ( hAPP_l512744617ion_ty(Ea,Va_1) = hAPP_ty_option_ty(some_ty,Ta)
=> hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),Hb),fun_up1149430426on_val(Lb,Va_1,hAPP_val_option_val(some_val,Va))),Ea)) ) ) ) ).
fof(fact_375_lconf__upd2,axiom,
! [Va_1,Va,Ta,Pa,Hb,Lb,Ea] :
( hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),Hb),Lb),Ea))
=> ( hBOOL(conf_P373316194t_char(Pa,Hb,Va,Ta))
=> hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),Hb),fun_up1149430426on_val(Lb,Va_1,hAPP_val_option_val(some_val,Va))),fun_up424764369ion_ty(Ea,Va_1,hAPP_ty_option_ty(some_ty,Ta)))) ) ) ).
fof(fact_376_in__lex__prod,axiom,
! [A,B,A_3,B_3,R_1,S] :
( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A),B)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_3),B_3))),lex_pr1541028704on_val(R_1,S)))
<=> ( hBOOL(hAPP_f1734260017l_bool(hAPP_P53416969l_bool(member894971540t_char,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,A),A_3)),R_1))
| ( A = A_3
& hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,B),B_3)),S)) ) ) ) ).
fof(fact_377_in__lex__prod,axiom,
! [A,B,A_3,B_3,R_1,S] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A),B)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_3),B_3))),lex_pr69619957on_val(R_1,S)))
<=> ( hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,A),A_3)),R_1))
| ( A = A_3
& hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,B),B_3)),S)) ) ) ) ).
fof(fact_378_in__lex__prod,axiom,
! [A,B,A_3,B_3,R_1,S] :
( hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A),B)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_3),B_3))),lex_pr1787105337t_char(R_1,S)))
<=> ( hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,A),A_3)),R_1))
| ( A = A_3
& hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,B),B_3)),S)) ) ) ) ).
fof(fact_379_in__lex__prod,axiom,
! [A,B,A_3,B_3,R_1,S] :
( hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A),B)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_3),B_3))),lex_pr213428520t_char(R_1,S)))
<=> ( hBOOL(hAPP_f288221747l_bool(hAPP_P569585933l_bool(member520253462har_ty,hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,A),A_3)),R_1))
| ( A = A_3
& hBOOL(hAPP_f1748390065l_bool(hAPP_P1503283977l_bool(member1580476948t_char,hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,B),B_3)),S)) ) ) ) ).
fof(fact_380_in__lex__prod,axiom,
! [A,B,A_3,B_3,R_1,S] :
( hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A),B)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_3),B_3))),lex_pr167435119t_char(R_1,S)))
<=> ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),A_3)),R_1))
| ( A = A_3
& hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,B),B_3)),S)) ) ) ) ).
fof(fact_381_in__lex__prod,axiom,
! [A,B,A_3,B_3,R_1,S] :
( hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A),B)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_3),B_3))),lex_pr1668767798t_char(R_1,S)))
<=> ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),A_3)),R_1))
| ( A = A_3
& hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,B),B_3)),S)) ) ) ) ).
fof(fact_382_in__lex__prod,axiom,
! [A,B,A_3,B_3,R_1,S] :
( hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A),B)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_3),B_3))),lex_pr307591827t_char(R_1,S)))
<=> ( hBOOL(hAPP_f348753975l_bool(hAPP_P1033205013l_bool(member273646106st_val,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,A),A_3)),R_1))
| ( A = A_3
& hBOOL(hAPP_f588675559l_bool(hAPP_P1860450421l_bool(member1199939018t_char,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,B),B_3)),S)) ) ) ) ).
fof(fact_383_in__lex__prod,axiom,
! [A,B,A_3,B_3,R_1,S] :
( hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A),B)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_3),B_3))),lex_pr1588300168t_char(R_1,S)))
<=> ( hBOOL(hAPP_f433445541l_bool(hAPP_P1019319281l_bool(member104734088ist_ty,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,A),A_3)),R_1))
| ( A = A_3
& hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,B),B_3)),S)) ) ) ) ).
fof(fact_384_in__lex__prod,axiom,
! [A,B,A_3,B_3,R_1,S] :
( hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A),B)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_3),B_3))),lex_pr1876288492t_char(R_1,S)))
<=> ( hBOOL(hAPP_f479632753l_bool(hAPP_P153687689l_bool(member817832404t_char,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,A),A_3)),R_1))
| ( A = A_3
& hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,B),B_3)),S)) ) ) ) ).
fof(fact_385_in__lex__prod,axiom,
! [A,B,A_3,B_3,R_1,S] :
( hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_3),B_3))),lex_pr2110711565on_val(R_1,S)))
<=> ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),A_3)),R_1))
| ( A = A_3
& hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B),B_3)),S)) ) ) ) ).
fof(fact_386_in__lex__prod,axiom,
! [A,B,A_3,B_3,R_1,S] :
( hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),B)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_3),B_3))),lex_prod_val_val(R_1,S)))
<=> ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),A_3)),R_1))
| ( A = A_3
& hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,B),B_3)),S)) ) ) ) ).
fof(fact_387_in__lex__prod,axiom,
! [A,B,A_3,B_3,R_1,S] :
( ( is_bop(A)
& is_bop(A_3) )
=> ( hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A),B)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_3),B_3))),lex_pr1932514710al_val(R_1,S)))
<=> ( hBOOL(hAPP_f1854361213l_bool(hAPP_P1034346913l_bool(member978285664op_bop,hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,A),A_3)),R_1))
| ( A = A_3
& hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,B),B_3)),S)) ) ) ) ) ).
fof(fact_388_in__lex__prod,axiom,
! [A,B,A_3,B_3,R_1,S] :
( hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_3),B_3))),lex_pr280535005t_char(R_1,S)))
<=> ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),A_3)),R_1))
| ( A = A_3
& hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,B),B_3)),S)) ) ) ) ).
fof(fact_389_in__lex__prod,axiom,
! [A,B,A_3,B_3,R_1,S] :
( hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A),B)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_3),B_3))),lex_pr1971266694on_val(R_1,S)))
<=> ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),A_3)),R_1))
| ( A = A_3
& hBOOL(hAPP_f983152497l_bool(hAPP_P1953134729l_bool(member781783252on_val,hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,B),B_3)),S)) ) ) ) ).
fof(fact_390_in__lex__prod,axiom,
! [A,B,A_3,B_3,R_1,S] :
( hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A),B)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_3),B_3))),lex_pr731210613on_val(R_1,S)))
<=> ( hBOOL(hAPP_f1754555101l_bool(hAPP_P1679186017l_bool(member1337019328on_val,hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,A),A_3)),R_1))
| ( A = A_3
& hBOOL(hAPP_f1661305905l_bool(hAPP_P1878549513l_bool(member490182804on_val,hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,B),B_3)),S)) ) ) ) ).
fof(fact_391_in__lex__prod,axiom,
! [A,B,A_3,B_3,R_1,S] :
( hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_3),B_3))),lex_pr1038007919on_val(R_1,S)))
<=> ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),A_3)),R_1))
| ( A = A_3
& hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B),B_3)),S)) ) ) ) ).
fof(fact_392_prod__caseI,axiom,
! [F1,A,B] :
( hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(F1,A),B))
=> hBOOL(hAPP_P2014166431r_bool(hAPP_f1484794973r_bool(produc1732333873r_bool,F1),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A),B))) ) ).
fof(fact_393_prod__caseI,axiom,
! [F1,A,B] :
( hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(F1,A),B))
=> hBOOL(hAPP_P828904212r_bool(hAPP_f895126887r_bool(produc1596557472r_bool,F1),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A),B))) ) ).
fof(fact_394_prod__caseI,axiom,
! [F1,A,B] :
( hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(F1,A),B))
=> hBOOL(hAPP_P659547099r_bool(hAPP_f252398939r_bool(produc1324280167r_bool,F1),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A),B))) ) ).
fof(fact_395_prod__caseI,axiom,
! [F1,A,B] :
( hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(F1,A),B))
=> hBOOL(hAPP_P1680401186r_bool(hAPP_f952817385r_bool(produc723279022r_bool,F1),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A),B))) ) ).
fof(fact_396_prod__caseI,axiom,
! [F1,A,B] :
( hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(F1,A),B))
=> hBOOL(hAPP_P2118621157r_bool(hAPP_f1697332217r_bool(produc21910851r_bool,F1),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A),B))) ) ).
fof(fact_397_prod__caseI,axiom,
! [F1,A,B] :
( hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(F1,A),B))
=> hBOOL(hAPP_P1907982426r_bool(hAPP_f102021095r_bool(produc154616760r_bool,F1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A),B))) ) ).
fof(fact_398_prod__caseI,axiom,
! [F1,A,B] :
( hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(F1,A),B))
=> hBOOL(hAPP_P92196306r_bool(hAPP_f1613448899r_bool(produc2027921764r_bool,F1),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A),B))) ) ).
fof(fact_399_prod__caseI,axiom,
! [F1,A,B] :
( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(F1,A),B))
=> hBOOL(hAPP_P71593144l_bool(hAPP_f1634841927l_bool(produc1491230096l_bool,F1),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A),B))) ) ).
fof(fact_400_prod__caseI,axiom,
! [F1,A,B] :
( hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(F1,A),B))
=> hBOOL(hAPP_P1333315679l_bool(hAPP_f1525114763l_bool(produc70644925l_bool,F1),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B))) ) ).
fof(fact_401_prod__caseI,axiom,
! [F1,A,B] :
( hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(F1,A),B))
=> hBOOL(hAPP_P929938951l_bool(hAPP_f1534412387l_bool(produc769963999l_bool,F1),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),B))) ) ).
fof(fact_402_prod__caseI,axiom,
! [F1,A,B] :
( hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(F1,A),B))
=> hBOOL(hAPP_P943837928l_bool(hAPP_f340876351l_bool(produc1326056646l_bool,F1),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A),B))) ) ).
fof(fact_403_prod__caseI,axiom,
! [F1,A,B] :
( hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(F1,A),B))
=> hBOOL(hAPP_P449474095r_bool(hAPP_f2132060507r_bool(produc1704639885r_bool,F1),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B))) ) ).
fof(fact_404_prod__caseI,axiom,
! [F1,A,B] :
( hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(F1,A),B))
=> hBOOL(hAPP_P1235399154l_bool(hAPP_f1443410953l_bool(produc392960766l_bool,F1),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A),B))) ) ).
fof(fact_405_prod__caseI,axiom,
! [F1,A,B] :
( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(F1,A),B))
=> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A),B))) ) ).
fof(fact_406_prod__caseI,axiom,
! [F1,A,B] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(F1,A),B))
=> hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,F1),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A),B))) ) ).
fof(fact_407_prod__caseI,axiom,
! [F1,A,B] :
( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(F1,A),B))
=> hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,F1),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B))) ) ).
fof(fact_408_splitI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(F_1,A),B))
=> hBOOL(hAPP_P2014166431r_bool(hAPP_f1484794973r_bool(produc1732333873r_bool,F_1),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A),B))) ) ).
fof(fact_409_splitI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(F_1,A),B))
=> hBOOL(hAPP_P828904212r_bool(hAPP_f895126887r_bool(produc1596557472r_bool,F_1),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A),B))) ) ).
fof(fact_410_splitI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(F_1,A),B))
=> hBOOL(hAPP_P659547099r_bool(hAPP_f252398939r_bool(produc1324280167r_bool,F_1),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A),B))) ) ).
fof(fact_411_splitI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(F_1,A),B))
=> hBOOL(hAPP_P1680401186r_bool(hAPP_f952817385r_bool(produc723279022r_bool,F_1),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A),B))) ) ).
fof(fact_412_splitI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(F_1,A),B))
=> hBOOL(hAPP_P2118621157r_bool(hAPP_f1697332217r_bool(produc21910851r_bool,F_1),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A),B))) ) ).
fof(fact_413_splitI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(F_1,A),B))
=> hBOOL(hAPP_P1907982426r_bool(hAPP_f102021095r_bool(produc154616760r_bool,F_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A),B))) ) ).
fof(fact_414_splitI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(F_1,A),B))
=> hBOOL(hAPP_P92196306r_bool(hAPP_f1613448899r_bool(produc2027921764r_bool,F_1),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A),B))) ) ).
fof(fact_415_splitI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(F_1,A),B))
=> hBOOL(hAPP_P71593144l_bool(hAPP_f1634841927l_bool(produc1491230096l_bool,F_1),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A),B))) ) ).
fof(fact_416_splitI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(F_1,A),B))
=> hBOOL(hAPP_P1333315679l_bool(hAPP_f1525114763l_bool(produc70644925l_bool,F_1),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B))) ) ).
fof(fact_417_splitI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(F_1,A),B))
=> hBOOL(hAPP_P929938951l_bool(hAPP_f1534412387l_bool(produc769963999l_bool,F_1),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),B))) ) ).
fof(fact_418_splitI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(F_1,A),B))
=> hBOOL(hAPP_P943837928l_bool(hAPP_f340876351l_bool(produc1326056646l_bool,F_1),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A),B))) ) ).
fof(fact_419_splitI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(F_1,A),B))
=> hBOOL(hAPP_P449474095r_bool(hAPP_f2132060507r_bool(produc1704639885r_bool,F_1),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B))) ) ).
fof(fact_420_splitI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(F_1,A),B))
=> hBOOL(hAPP_P1235399154l_bool(hAPP_f1443410953l_bool(produc392960766l_bool,F_1),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A),B))) ) ).
fof(fact_421_splitI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(F_1,A),B))
=> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A),B))) ) ).
fof(fact_422_splitI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(F_1,A),B))
=> hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,F_1),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A),B))) ) ).
fof(fact_423_splitI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(F_1,A),B))
=> hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,F_1),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B))) ) ).
fof(fact_424_map__add__dom__app__simps_I1_J,axiom,
! [L1,M_1,L2] :
( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,M_1),dom_na996029170on_val(L2)))
=> hAPP_n546249108on_val(map_ad61982421on_val(L1,L2),M_1) = hAPP_n546249108on_val(L2,M_1) ) ).
fof(fact_425_map__add__dom__app__simps_I1_J,axiom,
! [L1,M_1,L2] :
( hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,M_1),dom_list_char_val(L2)))
=> hAPP_l207779698on_val(map_ad325961431ar_val(L1,L2),M_1) = hAPP_l207779698on_val(L2,M_1) ) ).
fof(fact_426_split__weak__cong,axiom,
! [C_2,P_1,Q_2] :
( P_1 = Q_2
=> hAPP_P1228500987ion_ty(hAPP_f46308763ion_ty(produc907433735ion_ty,C_2),P_1) = hAPP_P1228500987ion_ty(hAPP_f46308763ion_ty(produc907433735ion_ty,C_2),Q_2) ) ).
fof(fact_427_split__weak__cong,axiom,
! [C_2,P_1,Q_2] :
( P_1 = Q_2
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,C_2),P_1))
<=> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,C_2),Q_2)) ) ) ).
fof(fact_428_map__add__dom__app__simps_I3_J,axiom,
! [L1,M_1,L2] :
( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,M_1),dom_na996029170on_val(L2)))
=> hAPP_n546249108on_val(map_ad61982421on_val(L1,L2),M_1) = hAPP_n546249108on_val(L1,M_1) ) ).
fof(fact_429_map__add__dom__app__simps_I3_J,axiom,
! [L1,M_1,L2] :
( ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,M_1),dom_list_char_val(L2)))
=> hAPP_l207779698on_val(map_ad325961431ar_val(L1,L2),M_1) = hAPP_l207779698on_val(L1,M_1) ) ).
fof(fact_430_map__add__dom__app__simps_I2_J,axiom,
! [L2,M_1,L1] :
( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,M_1),dom_na996029170on_val(L1)))
=> hAPP_n546249108on_val(map_ad61982421on_val(L1,L2),M_1) = hAPP_n546249108on_val(L2,M_1) ) ).
fof(fact_431_map__add__dom__app__simps_I2_J,axiom,
! [L2,M_1,L1] :
( ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,M_1),dom_list_char_val(L1)))
=> hAPP_l207779698on_val(map_ad325961431ar_val(L1,L2),M_1) = hAPP_l207779698on_val(L2,M_1) ) ).
fof(fact_432_map__add__assoc,axiom,
! [M1,M2,M3] : map_ad325961431ar_val(M1,map_ad325961431ar_val(M2,M3)) = map_ad325961431ar_val(map_ad325961431ar_val(M1,M2),M3) ).
fof(fact_433_split__curry,axiom,
! [F_1] : hAPP_f46308763ion_ty(produc907433735ion_ty,produc1675615144ion_ty(F_1)) = F_1 ).
fof(fact_434_split__curry,axiom,
! [F_1] : hAPP_f2121594859l_bool(produc1958875245l_bool,produc2062775566l_bool(F_1)) = F_1 ).
fof(fact_435_curry__split,axiom,
! [F_1] : produc1675615144ion_ty(hAPP_f46308763ion_ty(produc907433735ion_ty,F_1)) = F_1 ).
fof(fact_436_curry__split,axiom,
! [F_1] : produc2062775566l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F_1)) = F_1 ).
fof(fact_437_split__part,axiom,
! [Pa,Q_1,X_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f555424277l_bool(hAPP_f1734879897l_bool(cOMBB_1522540928on_val,hAPP_f1863694447l_bool(cOMBB_383678192on_val,hAPP_b589554111l_bool(fconj,Pa))),Q_1)),X_1))
<=> ( hBOOL(Pa)
& hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,Q_1),X_1)) ) ) ).
fof(fact_438_red__reds_ORedInitBlock,axiom,
! [Va_1,Ta,Va,U,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(Va_1,Ta,seq_list_char(lAss_list_char(Va_1,hAPP_v834067052t_char(val_list_char,Va)),hAPP_v834067052t_char(val_list_char,U)))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,U)),S))),red(Pa))) ).
fof(fact_439_conf__widen,axiom,
! [T_a,Pa,Hb,Va,Ta] :
( hBOOL(conf_P373316194t_char(Pa,Hb,Va,Ta))
=> ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),Ta),T_a))
=> hBOOL(conf_P373316194t_char(Pa,Hb,Va,T_a)) ) ) ).
fof(fact_440_splitD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P2014166431r_bool(hAPP_f1484794973r_bool(produc1732333873r_bool,F_1),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A),B)))
=> hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(F_1,A),B)) ) ).
fof(fact_441_splitD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P828904212r_bool(hAPP_f895126887r_bool(produc1596557472r_bool,F_1),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A),B)))
=> hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(F_1,A),B)) ) ).
fof(fact_442_splitD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P659547099r_bool(hAPP_f252398939r_bool(produc1324280167r_bool,F_1),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A),B)))
=> hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(F_1,A),B)) ) ).
fof(fact_443_splitD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P1680401186r_bool(hAPP_f952817385r_bool(produc723279022r_bool,F_1),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A),B)))
=> hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(F_1,A),B)) ) ).
fof(fact_444_splitD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P2118621157r_bool(hAPP_f1697332217r_bool(produc21910851r_bool,F_1),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A),B)))
=> hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(F_1,A),B)) ) ).
fof(fact_445_splitD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P1907982426r_bool(hAPP_f102021095r_bool(produc154616760r_bool,F_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A),B)))
=> hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(F_1,A),B)) ) ).
fof(fact_446_splitD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P92196306r_bool(hAPP_f1613448899r_bool(produc2027921764r_bool,F_1),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A),B)))
=> hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(F_1,A),B)) ) ).
fof(fact_447_splitD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P71593144l_bool(hAPP_f1634841927l_bool(produc1491230096l_bool,F_1),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A),B)))
=> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(F_1,A),B)) ) ).
fof(fact_448_splitD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P1333315679l_bool(hAPP_f1525114763l_bool(produc70644925l_bool,F_1),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B)))
=> hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(F_1,A),B)) ) ).
fof(fact_449_splitD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P929938951l_bool(hAPP_f1534412387l_bool(produc769963999l_bool,F_1),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),B)))
=> hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(F_1,A),B)) ) ).
fof(fact_450_splitD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P943837928l_bool(hAPP_f340876351l_bool(produc1326056646l_bool,F_1),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A),B)))
=> hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(F_1,A),B)) ) ).
fof(fact_451_splitD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P449474095r_bool(hAPP_f2132060507r_bool(produc1704639885r_bool,F_1),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B)))
=> hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(F_1,A),B)) ) ).
fof(fact_452_splitD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P1235399154l_bool(hAPP_f1443410953l_bool(produc392960766l_bool,F_1),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A),B)))
=> hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(F_1,A),B)) ) ).
fof(fact_453_splitD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A),B)))
=> hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(F_1,A),B)) ) ).
fof(fact_454_splitD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,F_1),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A),B)))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(F_1,A),B)) ) ).
fof(fact_455_splitD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,F_1),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B)))
=> hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(F_1,A),B)) ) ).
fof(fact_456_lconf__hext,axiom,
! [H_b,Pa,Hb,Lb,Ea] :
( hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),Hb),Lb),Ea))
=> ( hBOOL(hext(Hb,H_b))
=> hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),H_b),Lb),Ea)) ) ) ).
fof(fact_457_red__reds_ORedSeq,axiom,
! [Va,E_2,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(hAPP_v834067052t_char(val_list_char,Va),E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),S))),red(Pa))) ).
fof(fact_458_map__add__upd__left,axiom,
! [E1,U1,M_1,E2] :
( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,M_1),dom_na996029170on_val(E2)))
=> map_ad61982421on_val(fun_up2041264236on_val(E1,M_1,hAPP_P1510515380on_val(some_P948696889on_val,U1)),E2) = fun_up2041264236on_val(map_ad61982421on_val(E1,E2),M_1,hAPP_P1510515380on_val(some_P948696889on_val,U1)) ) ).
fof(fact_459_map__add__upd__left,axiom,
! [E1,U1,M_1,E2] :
( ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,M_1),dom_list_char_val(E2)))
=> map_ad325961431ar_val(fun_up1149430426on_val(E1,M_1,hAPP_val_option_val(some_val,U1)),E2) = fun_up1149430426on_val(map_ad325961431ar_val(E1,E2),M_1,hAPP_val_option_val(some_val,U1)) ) ).
fof(fact_460_map__add__upd__left,axiom,
! [E1,U1,M_1,E2] :
( ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,M_1),dom_Pr695701035ar_val(E2)))
=> map_ad1185064968ar_val(fun_up204312361on_val(E1,M_1,hAPP_val_option_val(some_val,U1)),E2) = fun_up204312361on_val(map_ad1185064968ar_val(E1,E2),M_1,hAPP_val_option_val(some_val,U1)) ) ).
fof(fact_461_map__add__upd__left,axiom,
! [E1,U1,M_1,E2] :
( ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,M_1),dom_list_char_ty(E2)))
=> map_add_list_char_ty(fun_up424764369ion_ty(E1,M_1,hAPP_ty_option_ty(some_ty,U1)),E2) = fun_up424764369ion_ty(map_add_list_char_ty(E1,E2),M_1,hAPP_ty_option_ty(some_ty,U1)) ) ).
fof(fact_462_red__reds_ORedBlock,axiom,
! [Va_1,Ta,U,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(Va_1,Ta,hAPP_v834067052t_char(val_list_char,U))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,U)),S))),red(Pa))) ).
fof(fact_463_domI,axiom,
! [M_1,A,B] :
( hAPP_n546249108on_val(M_1,A) = hAPP_P1510515380on_val(some_P948696889on_val,B)
=> hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),dom_na996029170on_val(M_1))) ) ).
fof(fact_464_domI,axiom,
! [M_1,A,B] :
( hAPP_l207779698on_val(M_1,A) = hAPP_val_option_val(some_val,B)
=> hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,A),dom_list_char_val(M_1))) ) ).
fof(fact_465_red__reds_OInitBlockRed,axiom,
! [Ta,V_a,Eb,Hb,Lb,Va_1,Va,E_b,H_b,L_b,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),fun_up1149430426on_val(Lb,Va_1,hAPP_val_option_val(some_val,Va))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))),red(Pa)))
=> ( hAPP_l207779698on_val(L_b,Va_1) = hAPP_val_option_val(some_val,V_a)
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(Va_1,Ta,seq_list_char(lAss_list_char(Va_1,hAPP_v834067052t_char(val_list_char,Va)),Eb))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(Va_1,Ta,seq_list_char(lAss_list_char(Va_1,hAPP_v834067052t_char(val_list_char,V_a)),E_b))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),fun_up1149430426on_val(L_b,Va_1,hAPP_l207779698on_val(Lb,Va_1)))))),red(Pa))) ) ) ).
fof(fact_466_prod_Osimps_I2_J,axiom,
! [F1,A,B] : hAPP_P1228500987ion_ty(hAPP_f46308763ion_ty(produc907433735ion_ty,F1),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A),B)) = hAPP_f652398900ion_ty(hAPP_l2000496933ion_ty(F1,A),B) ).
fof(fact_467_prod_Osimps_I2_J,axiom,
! [F1,A,B] :
( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A),B)))
<=> hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(F1,A),B)) ) ).
fof(fact_468_split__conv,axiom,
! [F_1,A,B] : hAPP_P1228500987ion_ty(hAPP_f46308763ion_ty(produc907433735ion_ty,F_1),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A),B)) = hAPP_f652398900ion_ty(hAPP_l2000496933ion_ty(F_1,A),B) ).
fof(fact_469_split__conv,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A),B)))
<=> hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(F_1,A),B)) ) ).
fof(fact_470_map__add__find__right,axiom,
! [M_1,N,K,Xx] :
( hAPP_l207779698on_val(N,K) = hAPP_val_option_val(some_val,Xx)
=> hAPP_l207779698on_val(map_ad325961431ar_val(M_1,N),K) = hAPP_val_option_val(some_val,Xx) ) ).
fof(fact_471_mem__def,axiom,
! [X_2,A_2] :
( hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,X_2),A_2))
<=> hBOOL(hAPP_P1384137393r_bool(A_2,X_2)) ) ).
fof(fact_472_mem__def,axiom,
! [X_2,A_2] :
( hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,X_2),A_2))
<=> hBOOL(hAPP_P1680401186r_bool(A_2,X_2)) ) ).
fof(fact_473_mem__def,axiom,
! [X_2,A_2] :
( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,X_2),A_2))
<=> hBOOL(hAPP_P1333315679l_bool(A_2,X_2)) ) ).
fof(fact_474_mem__def,axiom,
! [X_2,A_2] :
( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A_2))
<=> hBOOL(hAPP_nat_bool(A_2,X_2)) ) ).
fof(fact_475_mem__def,axiom,
! [X_2,A_2] :
( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,X_2),A_2))
<=> hBOOL(hAPP_P449474095r_bool(A_2,X_2)) ) ).
fof(fact_476_mem__def,axiom,
! [X_2,A_2] :
( hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,X_2),A_2))
<=> hBOOL(hAPP_list_char_bool(A_2,X_2)) ) ).
fof(fact_477_mem__def,axiom,
! [X_2,A_2] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,X_2),A_2))
<=> hBOOL(hAPP_P282169671l_bool(A_2,X_2)) ) ).
fof(fact_478_split__eta,axiom,
! [F_1] : hAPP_f46308763ion_ty(produc907433735ion_ty,hAPP_f802560783ion_ty(hAPP_f7643013ion_ty(cOMBB_864319000t_char,hAPP_f69964139ion_ty(cOMBB_2041093409on_val,F_1)),produc823076510on_val)) = F_1 ).
fof(fact_479_split__eta,axiom,
! [F_1] : hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f1363667773l_bool(hAPP_f1050935001l_bool(cOMBB_1153617344on_val,hAPP_f2057883639l_bool(cOMBB_1750801836on_val,F_1)),produc899768717on_val)) = F_1 ).
fof(fact_480_red__reds_OLAssRed,axiom,
! [Va_1,Eb,S,E_b,S_2,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),red(Pa)))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(Va_1,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(Va_1,E_b)),S_2))),red(Pa))) ) ).
fof(fact_481_red__reds_OSeqRed,axiom,
! [E_2,Eb,S,E_b,S_2,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),red(Pa)))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(Eb,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(E_b,E_2)),S_2))),red(Pa))) ) ).
fof(fact_482_curryE,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(produc288369490r_bool(F_1),A),B))
=> hBOOL(hAPP_P2014166431r_bool(F_1,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A),B))) ) ).
fof(fact_483_curryE,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(produc2116052801r_bool(F_1),A),B))
=> hBOOL(hAPP_P828904212r_bool(F_1,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A),B))) ) ).
fof(fact_484_curryE,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(produc266042248r_bool(F_1),A),B))
=> hBOOL(hAPP_P659547099r_bool(F_1,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A),B))) ) ).
fof(fact_485_curryE,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(produc1588781647r_bool(F_1),A),B))
=> hBOOL(hAPP_P1680401186r_bool(F_1,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A),B))) ) ).
fof(fact_486_curryE,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(produc550034914r_bool(F_1),A),B))
=> hBOOL(hAPP_P2118621157r_bool(F_1,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A),B))) ) ).
fof(fact_487_curryE,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(produc156891095r_bool(F_1),A),B))
=> hBOOL(hAPP_P1907982426r_bool(F_1,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A),B))) ) ).
fof(fact_488_curryE,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(produc1574020101r_bool(F_1),A),B))
=> hBOOL(hAPP_P92196306r_bool(F_1,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A),B))) ) ).
fof(fact_489_curryE,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(produc1838470831l_bool(F_1),A),B))
=> hBOOL(hAPP_P71593144l_bool(F_1,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A),B))) ) ).
fof(fact_490_curryE,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(produc2053127004l_bool(F_1),A),B))
=> hBOOL(hAPP_P1333315679l_bool(F_1,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B))) ) ).
fof(fact_491_curryE,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(produc886919678l_bool(F_1),A),B))
=> hBOOL(hAPP_P929938951l_bool(F_1,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),B))) ) ).
fof(fact_492_curryE,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(produc1555310053l_bool(F_1),A),B))
=> hBOOL(hAPP_P943837928l_bool(F_1,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A),B))) ) ).
fof(fact_493_curryE,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(produc95371820r_bool(F_1),A),B))
=> hBOOL(hAPP_P449474095r_bool(F_1,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B))) ) ).
fof(fact_494_curryE,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(produc481748255l_bool(F_1),A),B))
=> hBOOL(hAPP_P1235399154l_bool(F_1,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A),B))) ) ).
fof(fact_495_curryE,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(produc2062775566l_bool(F_1),A),B))
=> hBOOL(hAPP_P159683425l_bool(F_1,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A),B))) ) ).
fof(fact_496_curryE,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(produc1911975310l_bool(F_1),A),B))
=> hBOOL(hAPP_P1708370145l_bool(F_1,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A),B))) ) ).
fof(fact_497_curryE,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(produc1159035454l_bool(F_1),A),B))
=> hBOOL(hAPP_P282169671l_bool(F_1,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B))) ) ).
fof(fact_498_curryD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(produc288369490r_bool(F_1),A),B))
=> hBOOL(hAPP_P2014166431r_bool(F_1,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A),B))) ) ).
fof(fact_499_curryD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(produc2116052801r_bool(F_1),A),B))
=> hBOOL(hAPP_P828904212r_bool(F_1,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A),B))) ) ).
fof(fact_500_curryD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(produc266042248r_bool(F_1),A),B))
=> hBOOL(hAPP_P659547099r_bool(F_1,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A),B))) ) ).
fof(fact_501_curryD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(produc1588781647r_bool(F_1),A),B))
=> hBOOL(hAPP_P1680401186r_bool(F_1,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A),B))) ) ).
fof(fact_502_curryD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(produc550034914r_bool(F_1),A),B))
=> hBOOL(hAPP_P2118621157r_bool(F_1,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A),B))) ) ).
fof(fact_503_curryD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(produc156891095r_bool(F_1),A),B))
=> hBOOL(hAPP_P1907982426r_bool(F_1,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A),B))) ) ).
fof(fact_504_curryD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(produc1574020101r_bool(F_1),A),B))
=> hBOOL(hAPP_P92196306r_bool(F_1,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A),B))) ) ).
fof(fact_505_curryD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(produc1838470831l_bool(F_1),A),B))
=> hBOOL(hAPP_P71593144l_bool(F_1,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A),B))) ) ).
fof(fact_506_curryD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(produc2053127004l_bool(F_1),A),B))
=> hBOOL(hAPP_P1333315679l_bool(F_1,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B))) ) ).
fof(fact_507_curryD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(produc886919678l_bool(F_1),A),B))
=> hBOOL(hAPP_P929938951l_bool(F_1,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),B))) ) ).
fof(fact_508_curryD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(produc1555310053l_bool(F_1),A),B))
=> hBOOL(hAPP_P943837928l_bool(F_1,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A),B))) ) ).
fof(fact_509_curryD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(produc95371820r_bool(F_1),A),B))
=> hBOOL(hAPP_P449474095r_bool(F_1,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B))) ) ).
fof(fact_510_curryD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(produc481748255l_bool(F_1),A),B))
=> hBOOL(hAPP_P1235399154l_bool(F_1,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A),B))) ) ).
fof(fact_511_curryD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(produc2062775566l_bool(F_1),A),B))
=> hBOOL(hAPP_P159683425l_bool(F_1,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A),B))) ) ).
fof(fact_512_curryD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(produc1911975310l_bool(F_1),A),B))
=> hBOOL(hAPP_P1708370145l_bool(F_1,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A),B))) ) ).
fof(fact_513_curryD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(produc1159035454l_bool(F_1),A),B))
=> hBOOL(hAPP_P282169671l_bool(F_1,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B))) ) ).
fof(fact_514_map__add__upd,axiom,
! [F_1,G,X_2,Y_2] : map_ad1185064968ar_val(F_1,fun_up204312361on_val(G,X_2,hAPP_val_option_val(some_val,Y_2))) = fun_up204312361on_val(map_ad1185064968ar_val(F_1,G),X_2,hAPP_val_option_val(some_val,Y_2)) ).
fof(fact_515_map__add__upd,axiom,
! [F_1,G,X_2,Y_2] : map_ad61982421on_val(F_1,fun_up2041264236on_val(G,X_2,hAPP_P1510515380on_val(some_P948696889on_val,Y_2))) = fun_up2041264236on_val(map_ad61982421on_val(F_1,G),X_2,hAPP_P1510515380on_val(some_P948696889on_val,Y_2)) ).
fof(fact_516_map__add__upd,axiom,
! [F_1,G,X_2,Y_2] : map_add_list_char_ty(F_1,fun_up424764369ion_ty(G,X_2,hAPP_ty_option_ty(some_ty,Y_2))) = fun_up424764369ion_ty(map_add_list_char_ty(F_1,G),X_2,hAPP_ty_option_ty(some_ty,Y_2)) ).
fof(fact_517_map__add__upd,axiom,
! [F_1,G,X_2,Y_2] : map_ad325961431ar_val(F_1,fun_up1149430426on_val(G,X_2,hAPP_val_option_val(some_val,Y_2))) = fun_up1149430426on_val(map_ad325961431ar_val(F_1,G),X_2,hAPP_val_option_val(some_val,Y_2)) ).
fof(fact_518_internal__split__def,axiom,
produc1577326610ion_ty = produc907433735ion_ty ).
fof(fact_519_internal__split__def,axiom,
produc2128769400l_bool = produc1958875245l_bool ).
fof(fact_520_WTrtBlock,axiom,
! [Pa,Hb,Ea,Va_1,Ta,Eb,T_a] :
( hBOOL(wTrt_1(Pa,Hb,fun_up424764369ion_ty(Ea,Va_1,hAPP_ty_option_ty(some_ty,Ta)),Eb,T_a))
=> hBOOL(wTrt_1(Pa,Hb,Ea,block_list_char(Va_1,Ta,Eb),T_a)) ) ).
fof(fact_521_splitE,axiom,
! [C_2,P_1] :
( hBOOL(hAPP_P2014166431r_bool(hAPP_f1484794973r_bool(produc1732333873r_bool,C_2),P_1))
=> ~ ! [X_1,Y_1] :
( P_1 = hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,X_1),Y_1)
=> ~ hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(C_2,X_1),Y_1)) ) ) ).
fof(fact_522_splitE,axiom,
! [C_2,P_1] :
( hBOOL(hAPP_P828904212r_bool(hAPP_f895126887r_bool(produc1596557472r_bool,C_2),P_1))
=> ~ ! [X_1,Y_1] :
( P_1 = hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,X_1),Y_1)
=> ~ hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(C_2,X_1),Y_1)) ) ) ).
fof(fact_523_splitE,axiom,
! [C_2,P_1] :
( hBOOL(hAPP_P659547099r_bool(hAPP_f252398939r_bool(produc1324280167r_bool,C_2),P_1))
=> ~ ! [X_1,Y_1] :
( P_1 = hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,X_1),Y_1)
=> ~ hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(C_2,X_1),Y_1)) ) ) ).
fof(fact_524_splitE,axiom,
! [C_2,P_1] :
( hBOOL(hAPP_P1680401186r_bool(hAPP_f952817385r_bool(produc723279022r_bool,C_2),P_1))
=> ~ ! [X_1,Y_1] :
( P_1 = hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,X_1),Y_1)
=> ~ hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(C_2,X_1),Y_1)) ) ) ).
fof(fact_525_splitE,axiom,
! [C_2,P_1] :
( hBOOL(hAPP_P2118621157r_bool(hAPP_f1697332217r_bool(produc21910851r_bool,C_2),P_1))
=> ~ ! [X_1,Y_1] :
( P_1 = hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,X_1),Y_1)
=> ~ hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(C_2,X_1),Y_1)) ) ) ).
fof(fact_526_splitE,axiom,
! [C_2,P_1] :
( hBOOL(hAPP_P1907982426r_bool(hAPP_f102021095r_bool(produc154616760r_bool,C_2),P_1))
=> ~ ! [X_1,Y_1] :
( P_1 = hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,X_1),Y_1)
=> ~ hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(C_2,X_1),Y_1)) ) ) ).
fof(fact_527_splitE,axiom,
! [C_2,P_1] :
( hBOOL(hAPP_P92196306r_bool(hAPP_f1613448899r_bool(produc2027921764r_bool,C_2),P_1))
=> ~ ! [X_1,Y_1] :
( P_1 = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,X_1),Y_1)
=> ~ hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(C_2,X_1),Y_1)) ) ) ).
fof(fact_528_splitE,axiom,
! [C_2,P_1] :
( hBOOL(hAPP_P71593144l_bool(hAPP_f1634841927l_bool(produc1491230096l_bool,C_2),P_1))
=> ~ ! [X_1,Y_1] :
( P_1 = hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,X_1),Y_1)
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(C_2,X_1),Y_1)) ) ) ).
fof(fact_529_splitE,axiom,
! [C_2,P_1] :
( hBOOL(hAPP_P1333315679l_bool(hAPP_f1525114763l_bool(produc70644925l_bool,C_2),P_1))
=> ~ ! [X_1,Y_1] :
( P_1 = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,X_1),Y_1)
=> ~ hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(C_2,X_1),Y_1)) ) ) ).
fof(fact_530_splitE,axiom,
! [C_2,P_1] :
( hBOOL(hAPP_P929938951l_bool(hAPP_f1534412387l_bool(produc769963999l_bool,C_2),P_1))
=> ~ ! [X_1,Y_1] :
( P_1 = hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,X_1),Y_1)
=> ~ hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(C_2,X_1),Y_1)) ) ) ).
fof(fact_531_splitE,axiom,
! [C_2,P_1] :
( hBOOL(hAPP_P943837928l_bool(hAPP_f340876351l_bool(produc1326056646l_bool,C_2),P_1))
=> ~ ! [X_1,Y_1] :
( is_bop(X_1)
=> ( P_1 = hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,X_1),Y_1)
=> ~ hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(C_2,X_1),Y_1)) ) ) ) ).
fof(fact_532_splitE,axiom,
! [C_2,P_1] :
( hBOOL(hAPP_P449474095r_bool(hAPP_f2132060507r_bool(produc1704639885r_bool,C_2),P_1))
=> ~ ! [X_1,Y_1] :
( P_1 = hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,X_1),Y_1)
=> ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(C_2,X_1),Y_1)) ) ) ).
fof(fact_533_splitE,axiom,
! [C_2,P_1] :
( hBOOL(hAPP_P1235399154l_bool(hAPP_f1443410953l_bool(produc392960766l_bool,C_2),P_1))
=> ~ ! [X_1,Y_1] :
( P_1 = hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,X_1),Y_1)
=> ~ hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(C_2,X_1),Y_1)) ) ) ).
fof(fact_534_splitE,axiom,
! [C_2,P_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,C_2),P_1))
=> ~ ! [X_1,Y_1] :
( P_1 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X_1),Y_1)
=> ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(C_2,X_1),Y_1)) ) ) ).
fof(fact_535_splitE,axiom,
! [C_2,P_1] :
( hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,C_2),P_1))
=> ~ ! [X_1,Y_1] :
( P_1 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,X_1),Y_1)
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(C_2,X_1),Y_1)) ) ) ).
fof(fact_536_splitE,axiom,
! [C_2,P_1] :
( hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,C_2),P_1))
=> ~ ! [X_1,Y_1] :
( P_1 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X_1),Y_1)
=> ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(C_2,X_1),Y_1)) ) ) ).
fof(fact_537_splitI2,axiom,
! [C_2,P_1] :
( ! [A_1,B_2] :
( P_1 = hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_1),B_2)
=> hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(C_2,A_1),B_2)) )
=> hBOOL(hAPP_P2014166431r_bool(hAPP_f1484794973r_bool(produc1732333873r_bool,C_2),P_1)) ) ).
fof(fact_538_splitI2,axiom,
! [C_2,P_1] :
( ! [A_1,B_2] :
( P_1 = hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_1),B_2)
=> hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(C_2,A_1),B_2)) )
=> hBOOL(hAPP_P828904212r_bool(hAPP_f895126887r_bool(produc1596557472r_bool,C_2),P_1)) ) ).
fof(fact_539_splitI2,axiom,
! [C_2,P_1] :
( ! [A_1,B_2] :
( P_1 = hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_1),B_2)
=> hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(C_2,A_1),B_2)) )
=> hBOOL(hAPP_P659547099r_bool(hAPP_f252398939r_bool(produc1324280167r_bool,C_2),P_1)) ) ).
fof(fact_540_splitI2,axiom,
! [C_2,P_1] :
( ! [A_1,B_2] :
( P_1 = hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),B_2)
=> hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(C_2,A_1),B_2)) )
=> hBOOL(hAPP_P1680401186r_bool(hAPP_f952817385r_bool(produc723279022r_bool,C_2),P_1)) ) ).
fof(fact_541_splitI2,axiom,
! [C_2,P_1] :
( ! [A_1,B_2] :
( P_1 = hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_1),B_2)
=> hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(C_2,A_1),B_2)) )
=> hBOOL(hAPP_P2118621157r_bool(hAPP_f1697332217r_bool(produc21910851r_bool,C_2),P_1)) ) ).
fof(fact_542_splitI2,axiom,
! [C_2,P_1] :
( ! [A_1,B_2] :
( P_1 = hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_1),B_2)
=> hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(C_2,A_1),B_2)) )
=> hBOOL(hAPP_P1907982426r_bool(hAPP_f102021095r_bool(produc154616760r_bool,C_2),P_1)) ) ).
fof(fact_543_splitI2,axiom,
! [C_2,P_1] :
( ! [A_1,B_2] :
( P_1 = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),B_2)
=> hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(C_2,A_1),B_2)) )
=> hBOOL(hAPP_P92196306r_bool(hAPP_f1613448899r_bool(produc2027921764r_bool,C_2),P_1)) ) ).
fof(fact_544_splitI2,axiom,
! [C_2,P_1] :
( ! [A_1,B_2] :
( P_1 = hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_1),B_2)
=> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(C_2,A_1),B_2)) )
=> hBOOL(hAPP_P71593144l_bool(hAPP_f1634841927l_bool(produc1491230096l_bool,C_2),P_1)) ) ).
fof(fact_545_splitI2,axiom,
! [C_2,P_1] :
( ! [A_1,B_2] :
( P_1 = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),B_2)
=> hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(C_2,A_1),B_2)) )
=> hBOOL(hAPP_P1333315679l_bool(hAPP_f1525114763l_bool(produc70644925l_bool,C_2),P_1)) ) ).
fof(fact_546_splitI2,axiom,
! [C_2,P_1] :
( ! [A_1,B_2] :
( P_1 = hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),B_2)
=> hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(C_2,A_1),B_2)) )
=> hBOOL(hAPP_P929938951l_bool(hAPP_f1534412387l_bool(produc769963999l_bool,C_2),P_1)) ) ).
fof(fact_547_splitI2,axiom,
! [C_2,P_1] :
( ! [A_1,B_2] :
( is_bop(A_1)
=> ( P_1 = hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_1),B_2)
=> hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(C_2,A_1),B_2)) ) )
=> hBOOL(hAPP_P943837928l_bool(hAPP_f340876351l_bool(produc1326056646l_bool,C_2),P_1)) ) ).
fof(fact_548_splitI2,axiom,
! [C_2,P_1] :
( ! [A_1,B_2] :
( P_1 = hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),B_2)
=> hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(C_2,A_1),B_2)) )
=> hBOOL(hAPP_P449474095r_bool(hAPP_f2132060507r_bool(produc1704639885r_bool,C_2),P_1)) ) ).
fof(fact_549_splitI2,axiom,
! [C_2,P_1] :
( ! [A_1,B_2] :
( P_1 = hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_1),B_2)
=> hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(C_2,A_1),B_2)) )
=> hBOOL(hAPP_P1235399154l_bool(hAPP_f1443410953l_bool(produc392960766l_bool,C_2),P_1)) ) ).
fof(fact_550_splitI2,axiom,
! [C_2,P_1] :
( ! [A_1,B_2] :
( P_1 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_1),B_2)
=> hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(C_2,A_1),B_2)) )
=> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,C_2),P_1)) ) ).
fof(fact_551_splitI2,axiom,
! [C_2,P_1] :
( ! [A_1,B_2] :
( P_1 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_1),B_2)
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(C_2,A_1),B_2)) )
=> hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,C_2),P_1)) ) ).
fof(fact_552_splitI2,axiom,
! [C_2,P_1] :
( ! [A_1,B_2] :
( P_1 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),B_2)
=> hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(C_2,A_1),B_2)) )
=> hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,C_2),P_1)) ) ).
fof(fact_553_WTrtSeq,axiom,
! [E_2,T_2_2,Pa,Hb,Ea,E_1_1,T_1_1] :
( hBOOL(wTrt_1(Pa,Hb,Ea,E_1_1,T_1_1))
=> ( hBOOL(wTrt_1(Pa,Hb,Ea,E_2,T_2_2))
=> hBOOL(wTrt_1(Pa,Hb,Ea,seq_list_char(E_1_1,E_2),T_2_2)) ) ) ).
fof(fact_554_lconf__def,axiom,
! [Pa,Hb,Lb,Ea] :
( hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),Hb),Lb),Ea))
<=> ! [V_3,V_2] :
( hAPP_l207779698on_val(Lb,V_3) = hAPP_val_option_val(some_val,V_2)
=> ? [T_4] :
( hAPP_l512744617ion_ty(Ea,V_3) = hAPP_ty_option_ty(some_ty,T_4)
& hBOOL(conf_P373316194t_char(Pa,Hb,V_2,T_4)) ) ) ) ).
fof(fact_555_red__reds_ORedLAss,axiom,
! [Va_1,Va,Hb,Lb,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(Va_1,hAPP_v834067052t_char(val_list_char,Va))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),fun_up1149430426on_val(Lb,Va_1,hAPP_val_option_val(some_val,Va)))))),red(Pa))) ).
fof(fact_556_hext__refl,axiom,
! [Hb] : hBOOL(hext(Hb,Hb)) ).
fof(fact_557_cond__split__eta,axiom,
! [F_1,G] :
( ! [X_1,Y_1] : hAPP_f652398900ion_ty(hAPP_l2000496933ion_ty(F_1,X_1),Y_1) = hAPP_P1228500987ion_ty(G,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,X_1),Y_1))
=> hAPP_f46308763ion_ty(produc907433735ion_ty,F_1) = G ) ).
fof(fact_558_cond__split__eta,axiom,
! [G,F_1] :
( ! [X_1,Y_1] :
( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(F_1,X_1),Y_1))
<=> hBOOL(hAPP_P159683425l_bool(G,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X_1),Y_1))) )
=> hAPP_f2121594859l_bool(produc1958875245l_bool,F_1) = G ) ).
fof(fact_559_domD,axiom,
! [A,M_1] :
( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),dom_na996029170on_val(M_1)))
=> ? [B_2] : hAPP_n546249108on_val(M_1,A) = hAPP_P1510515380on_val(some_P948696889on_val,B_2) ) ).
fof(fact_560_domD,axiom,
! [A,M_1] :
( hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,A),dom_list_char_val(M_1)))
=> ? [B_2] : hAPP_l207779698on_val(M_1,A) = hAPP_val_option_val(some_val,B_2) ) ).
fof(fact_561_splitE2,axiom,
! [Q_1,Pa,Z_1] :
( hBOOL(hAPP_option_ty_bool(Q_1,hAPP_P1228500987ion_ty(hAPP_f46308763ion_ty(produc907433735ion_ty,Pa),Z_1)))
=> ~ ! [X_1,Y_1] :
( Z_1 = hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,X_1),Y_1)
=> ~ hBOOL(hAPP_option_ty_bool(Q_1,hAPP_f652398900ion_ty(hAPP_l2000496933ion_ty(Pa,X_1),Y_1))) ) ) ).
fof(fact_562_splitE2,axiom,
! [Q_1,Pa,Z_1] :
( hBOOL(hAPP_bool_bool(Q_1,hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,Pa),Z_1)))
=> ~ ! [X_1,Y_1] :
( Z_1 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X_1),Y_1)
=> ~ hBOOL(hAPP_bool_bool(Q_1,hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,X_1),Y_1))) ) ) ).
fof(fact_563_WTrt__hext__mono,axiom,
! [H_b,Pa,Hb,Ea,Eb,Ta] :
( hBOOL(wTrt_1(Pa,Hb,Ea,Eb,Ta))
=> ( hBOOL(hext(Hb,H_b))
=> hBOOL(wTrt_1(Pa,H_b,Ea,Eb,Ta)) ) ) ).
fof(fact_564_hext__upd__obj,axiom,
! [Fs_2,Hb,A,C,Fs] :
( hAPP_n546249108on_val(Hb,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs))
=> hBOOL(hext(Hb,fun_up2041264236on_val(Hb,A,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_2))))) ) ).
fof(fact_565_hext__trans,axiom,
! [H_4,Hb,H_b] :
( hBOOL(hext(Hb,H_b))
=> ( hBOOL(hext(H_b,H_4))
=> hBOOL(hext(Hb,H_4)) ) ) ).
fof(fact_566_hext__objD,axiom,
! [A,C,Fs,Hb,H_b] :
( hBOOL(hext(Hb,H_b))
=> ( hAPP_n546249108on_val(Hb,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs))
=> ? [Fs_3] : hAPP_n546249108on_val(H_b,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_3)) ) ) ).
fof(fact_567_hext__def,axiom,
! [Hb,H_b] :
( hBOOL(hext(Hb,H_b))
<=> ! [A_1,C_1,Fs_1] :
( hAPP_n546249108on_val(Hb,A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C_1),Fs_1))
=> ? [Fs_3] : hAPP_n546249108on_val(H_b,A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C_1),Fs_3)) ) ) ).
fof(fact_568__092_060D_062___092_060D_062s_Osimps_I6_J,axiom,
! [Va_1,Eb,A_2] :
( hBOOL(d_list_char(lAss_list_char(Va_1,Eb),A_2))
<=> hBOOL(d_list_char(Eb,A_2)) ) ).
fof(fact_569_exp_Osimps_I143_J,axiom,
! [A_17,Ty_7,Exp_13,A_16,Exp_12] : block_list_char(A_17,Ty_7,Exp_13) != lAss_list_char(A_16,Exp_12) ).
fof(fact_570_exp_Osimps_I196_J,axiom,
! [A_15,Ty_6,Exp_11,Exp1_7,Exp2_7] : block_list_char(A_15,Ty_6,Exp_11) != seq_list_char(Exp1_7,Exp2_7) ).
fof(fact_571_exp_Osimps_I142_J,axiom,
! [A_14,Exp_10,A_13,Ty_5,Exp_9] : lAss_list_char(A_14,Exp_10) != block_list_char(A_13,Ty_5,Exp_9) ).
fof(fact_572_exp_Osimps_I3_J,axiom,
! [Val_7,Val_6] :
( hAPP_v834067052t_char(val_list_char,Val_7) = hAPP_v834067052t_char(val_list_char,Val_6)
<=> Val_7 = Val_6 ) ).
fof(fact_573_exp_Osimps_I11_J,axiom,
! [Exp1_6,Exp2_6,Exp1_5,Exp2_5] :
( seq_list_char(Exp1_6,Exp2_6) = seq_list_char(Exp1_5,Exp2_5)
<=> ( Exp1_6 = Exp1_5
& Exp2_6 = Exp2_5 ) ) ).
fof(fact_574_exp_Osimps_I6_J,axiom,
! [A,Exp_8,A_3,Exp_7] :
( lAss_list_char(A,Exp_8) = lAss_list_char(A_3,Exp_7)
<=> ( A = A_3
& Exp_8 = Exp_7 ) ) ).
fof(fact_575_exp_Osimps_I10_J,axiom,
! [A,Ty_4,Exp_8,A_3,Ty_3,Exp_7] :
( block_list_char(A,Ty_4,Exp_8) = block_list_char(A_3,Ty_3,Exp_7)
<=> ( A = A_3
& Ty_4 = Ty_3
& Exp_8 = Exp_7 ) ) ).
fof(fact_576_exp_Osimps_I84_J,axiom,
! [Val_5,Exp1_4,Exp2_4] : hAPP_v834067052t_char(val_list_char,Val_5) != seq_list_char(Exp1_4,Exp2_4) ).
fof(fact_577_exp_Osimps_I74_J,axiom,
! [Val_4,A_12,Exp_6] : hAPP_v834067052t_char(val_list_char,Val_4) != lAss_list_char(A_12,Exp_6) ).
fof(fact_578_exp_Osimps_I85_J,axiom,
! [Exp1_3,Exp2_3,Val_3] : seq_list_char(Exp1_3,Exp2_3) != hAPP_v834067052t_char(val_list_char,Val_3) ).
fof(fact_579_exp_Osimps_I75_J,axiom,
! [A_11,Exp_5,Val_2] : lAss_list_char(A_11,Exp_5) != hAPP_v834067052t_char(val_list_char,Val_2) ).
fof(fact_580_exp_Osimps_I82_J,axiom,
! [Val_1,A_10,Ty_2,Exp_4] : hAPP_v834067052t_char(val_list_char,Val_1) != block_list_char(A_10,Ty_2,Exp_4) ).
fof(fact_581_exp_Osimps_I83_J,axiom,
! [A_9,Ty_1,Exp_3,Val] : block_list_char(A_9,Ty_1,Exp_3) != hAPP_v834067052t_char(val_list_char,Val) ).
fof(fact_582__092_060D_062___092_060D_062s_Osimps_I3_J,axiom,
! [Va,A_2] : hBOOL(d_list_char(hAPP_v834067052t_char(val_list_char,Va),A_2)) ).
fof(fact_583_exp_Osimps_I145_J,axiom,
! [Exp1_2,Exp2_2,A_8,Exp_2] : seq_list_char(Exp1_2,Exp2_2) != lAss_list_char(A_8,Exp_2) ).
fof(fact_584_exp_Osimps_I144_J,axiom,
! [A_7,Exp_1,Exp1_1,Exp2_1] : lAss_list_char(A_7,Exp_1) != seq_list_char(Exp1_1,Exp2_1) ).
fof(fact_585_exp_Osimps_I197_J,axiom,
! [Exp1,Exp2,A_6,Ty,Exp] : seq_list_char(Exp1,Exp2) != block_list_char(A_6,Ty,Exp) ).
fof(fact_586_hconf__upd__obj,axiom,
! [Fs_2,A,C,Fs,Pa,Hb] :
( hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(Pa),Hb))
=> ( hAPP_n546249108on_val(Hb,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs))
=> ( hBOOL(hAPP_P1235399154l_bool(oconf_1869808039t_char(Pa,Hb),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_2)))
=> hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(Pa),fun_up2041264236on_val(Hb,A,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_2))))) ) ) ) ).
fof(fact_587_redp__redsp_OInitBlockRed,axiom,
! [Ta,V_a,Pa,Eb,Hb,Lb,Va_1,Va,E_b,H_b,L_b] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),fun_up1149430426on_val(Lb,Va_1,hAPP_val_option_val(some_val,Va)))),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))
=> ( hAPP_l207779698on_val(L_b,Va_1) = hAPP_val_option_val(some_val,V_a)
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(Va_1,Ta,seq_list_char(lAss_list_char(Va_1,hAPP_v834067052t_char(val_list_char,Va)),Eb)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),block_list_char(Va_1,Ta,seq_list_char(lAss_list_char(Va_1,hAPP_v834067052t_char(val_list_char,V_a)),E_b))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),fun_up1149430426on_val(L_b,Va_1,hAPP_l207779698on_val(Lb,Va_1))))) ) ) ).
fof(fact_588_red__reds_OBlockRedSome,axiom,
! [Ta,Va,Eb,Hb,Lb,Va_1,E_b,H_b,L_b,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),fun_up1149430426on_val(Lb,Va_1,none_val)))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))),red(Pa)))
=> ( hAPP_l207779698on_val(L_b,Va_1) = hAPP_val_option_val(some_val,Va)
=> ( ~ hBOOL(assigned(Va_1,Eb))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(Va_1,Ta,Eb)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(Va_1,Ta,seq_list_char(lAss_list_char(Va_1,hAPP_v834067052t_char(val_list_char,Va)),E_b))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),fun_up1149430426on_val(L_b,Va_1,hAPP_l207779698on_val(Lb,Va_1)))))),red(Pa))) ) ) ) ).
fof(fact_589_WTrtLAss,axiom,
! [Pa,Hb,Eb,T_a,Ea,Va_1,Ta] :
( hAPP_l512744617ion_ty(Ea,Va_1) = hAPP_ty_option_ty(some_ty,Ta)
=> ( hBOOL(wTrt_1(Pa,Hb,Ea,Eb,T_a))
=> ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_a),Ta))
=> hBOOL(wTrt_1(Pa,Hb,Ea,lAss_list_char(Va_1,Eb),void)) ) ) ) ).
fof(fact_590_LAssRedsVal,axiom,
! [Va_1,Eb,S,Va,H_b,L_b,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,Va)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))),transi2024712006on_val(red(Pa))))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(Va_1,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),fun_up1149430426on_val(L_b,Va_1,hAPP_val_option_val(some_val,Va)))))),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_591_hextI,axiom,
! [H_b,Hb] :
( ! [A_1,C_1,Fs_1] :
( hAPP_n546249108on_val(Hb,A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C_1),Fs_1))
=> ? [Fs_3] : hAPP_n546249108on_val(H_b,A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C_1),Fs_3)) )
=> hBOOL(hext(Hb,H_b)) ) ).
fof(fact_592_redp__redsp_ORedLAss,axiom,
! [Pa,Va_1,Va,Hb,Lb] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,lAss_list_char(Va_1,hAPP_v834067052t_char(val_list_char,Va)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),fun_up1149430426on_val(Lb,Va_1,hAPP_val_option_val(some_val,Va))))) ).
fof(fact_593_red__lcl__incr,axiom,
! [Eb,H_0,L_0,E_b,H_1,L_1_1,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_0),L_0))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1),L_1_1)))),red(Pa)))
=> hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(dom_list_char_val(L_0)),dom_list_char_val(L_1_1))) ) ).
fof(fact_594_lconf__empty,axiom,
! [Pa,Hb,Ea] : hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),Hb),hAPP_o538043682on_val(cOMBK_1097134891t_char,none_val)),Ea)) ).
fof(fact_595_rev__predicate1D,axiom,
! [Q_1,Pa,X_2] :
( hBOOL(hAPP_list_char_bool(Pa,X_2))
=> ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(Pa),Q_1))
=> hBOOL(hAPP_list_char_bool(Q_1,X_2)) ) ) ).
fof(fact_596_predicate1D,axiom,
! [X_2,Pa,Q_1] :
( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(Pa),Q_1))
=> ( hBOOL(hAPP_list_char_bool(Pa,X_2))
=> hBOOL(hAPP_list_char_bool(Q_1,X_2)) ) ) ).
fof(fact_597_pred__subset__eq,axiom,
! [R_2,S_4] :
( hBOOL(hAPP_f483496539l_bool(ord_le1987888477r_bool(hAPP_f1853572245r_bool(hAPP_f1933376467r_bool(cOMBC_36589090l_bool,member1601084734t_char),R_2)),hAPP_f1853572245r_bool(hAPP_f1933376467r_bool(cOMBC_36589090l_bool,member1601084734t_char),S_4)))
<=> hBOOL(hAPP_f483496539l_bool(ord_le1987888477r_bool(R_2),S_4)) ) ).
fof(fact_598_pred__subset__eq,axiom,
! [R_2,S_4] :
( hBOOL(hAPP_f515912112l_bool(ord_le117566470r_bool(hAPP_f1666729379r_bool(hAPP_f1020753317r_bool(cOMBC_1297648632l_bool,member1467889965t_char),R_2)),hAPP_f1666729379r_bool(hAPP_f1020753317r_bool(cOMBC_1297648632l_bool,member1467889965t_char),S_4)))
<=> hBOOL(hAPP_f515912112l_bool(ord_le117566470r_bool(R_2),S_4)) ) ).
fof(fact_599_pred__subset__eq,axiom,
! [R_2,S_4] :
( hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(hAPP_f1856968213l_bool(hAPP_f677078775l_bool(cOMBC_475083938l_bool,member875476972on_val),R_2)),hAPP_f1856968213l_bool(hAPP_f677078775l_bool(cOMBC_475083938l_bool,member875476972on_val),S_4)))
<=> hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(R_2),S_4)) ) ).
fof(fact_600_pred__subset__eq,axiom,
! [R_2,S_4] :
( hBOOL(hAPP_f54304608l_bool(ord_le1568362934t_bool(hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),R_2)),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),S_4)))
<=> hBOOL(hAPP_f54304608l_bool(ord_le1568362934t_bool(R_2),S_4)) ) ).
fof(fact_601_pred__subset__eq,axiom,
! [R_2,S_4] :
( hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(hAPP_f112056853r_bool(hAPP_f1876889431r_bool(cOMBC_148995234l_bool,member1251428284t_char),R_2)),hAPP_f112056853r_bool(hAPP_f1876889431r_bool(cOMBC_148995234l_bool,member1251428284t_char),S_4)))
<=> hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(R_2),S_4)) ) ).
fof(fact_602_pred__subset__eq,axiom,
! [R_2,S_4] :
( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(hAPP_f1371002581r_bool(hAPP_f522372661r_bool(cOMBC_892477410l_bool,member_list_char),R_2)),hAPP_f1371002581r_bool(hAPP_f522372661r_bool(cOMBC_892477410l_bool,member_list_char),S_4)))
<=> hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(R_2),S_4)) ) ).
fof(fact_603_pred__subset__eq,axiom,
! [R_2,S_4] :
( hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(hAPP_f2036784149l_bool(hAPP_f1720452391l_bool(cOMBC_1021753250l_bool,member773094996on_val),R_2)),hAPP_f2036784149l_bool(hAPP_f1720452391l_bool(cOMBC_1021753250l_bool,member773094996on_val),S_4)))
<=> hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(R_2),S_4)) ) ).
fof(fact_604_option_Osimps_I2_J,axiom,
! [A_5] : none_nat != hAPP_nat_option_nat(some_nat,A_5) ).
fof(fact_605_option_Osimps_I2_J,axiom,
! [A_5] : none_ty != hAPP_ty_option_ty(some_ty,A_5) ).
fof(fact_606_option_Osimps_I2_J,axiom,
! [A_3] : none_P179726773on_val != hAPP_P1510515380on_val(some_P948696889on_val,A_3) ).
fof(fact_607_option_Osimps_I2_J,axiom,
! [A_5] : none_val != hAPP_val_option_val(some_val,A_5) ).
fof(fact_608_option_Osimps_I2_J,axiom,
! [A_3] : none_f478147469r_bool != hAPP_f363827556r_bool(some_f80346385r_bool,A_3) ).
fof(fact_609_option_Osimps_I3_J,axiom,
! [A_4] : hAPP_nat_option_nat(some_nat,A_4) != none_nat ).
fof(fact_610_option_Osimps_I3_J,axiom,
! [A_4] : hAPP_ty_option_ty(some_ty,A_4) != none_ty ).
fof(fact_611_option_Osimps_I3_J,axiom,
! [A_3] : hAPP_P1510515380on_val(some_P948696889on_val,A_3) != none_P179726773on_val ).
fof(fact_612_option_Osimps_I3_J,axiom,
! [A_4] : hAPP_val_option_val(some_val,A_4) != none_val ).
fof(fact_613_option_Osimps_I3_J,axiom,
! [A_3] : hAPP_f363827556r_bool(some_f80346385r_bool,A_3) != none_f478147469r_bool ).
fof(fact_614_not__Some__eq,axiom,
! [X_2] :
( ! [Y_1] : X_2 != hAPP_nat_option_nat(some_nat,Y_1)
<=> X_2 = none_nat ) ).
fof(fact_615_not__Some__eq,axiom,
! [X_2] :
( ! [Y_1] : X_2 != hAPP_ty_option_ty(some_ty,Y_1)
<=> X_2 = none_ty ) ).
fof(fact_616_not__Some__eq,axiom,
! [X_2] :
( ! [Y_1] : X_2 != hAPP_P1510515380on_val(some_P948696889on_val,Y_1)
<=> X_2 = none_P179726773on_val ) ).
fof(fact_617_not__Some__eq,axiom,
! [X_2] :
( ! [Y_1] : X_2 != hAPP_val_option_val(some_val,Y_1)
<=> X_2 = none_val ) ).
fof(fact_618_not__Some__eq,axiom,
! [X_2] :
( ! [Y_1] : X_2 != hAPP_f363827556r_bool(some_f80346385r_bool,Y_1)
<=> X_2 = none_f478147469r_bool ) ).
fof(fact_619_not__None__eq,axiom,
! [X_2] :
( X_2 != none_nat
<=> ? [Y_1] : X_2 = hAPP_nat_option_nat(some_nat,Y_1) ) ).
fof(fact_620_not__None__eq,axiom,
! [X_2] :
( X_2 != none_ty
<=> ? [Y_1] : X_2 = hAPP_ty_option_ty(some_ty,Y_1) ) ).
fof(fact_621_not__None__eq,axiom,
! [X_2] :
( X_2 != none_P179726773on_val
<=> ? [Y_1] : X_2 = hAPP_P1510515380on_val(some_P948696889on_val,Y_1) ) ).
fof(fact_622_not__None__eq,axiom,
! [X_2] :
( X_2 != none_val
<=> ? [Y_1] : X_2 = hAPP_val_option_val(some_val,Y_1) ) ).
fof(fact_623_not__None__eq,axiom,
! [X_2] :
( X_2 != none_f478147469r_bool
<=> ? [Y_1] : X_2 = hAPP_f363827556r_bool(some_f80346385r_bool,Y_1) ) ).
fof(fact_624_redp__redsp_OLAssRed,axiom,
! [Va_1,Pa,Eb,S,E_b,S_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_2))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,lAss_list_char(Va_1,Eb),S),lAss_list_char(Va_1,E_b)),S_2)) ) ).
fof(fact_625_redp__redsp_OSeqRed,axiom,
! [E_2,Pa,Eb,S,E_b,S_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_2))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,seq_list_char(Eb,E_2),S),seq_list_char(E_b,E_2)),S_2)) ) ).
fof(fact_626_dom__def,axiom,
! [M_1] : dom_na996029170on_val(M_1) = collect_nat(hAPP_f800510211t_bool(hAPP_f894608603t_bool(cOMBB_bool_bool_nat,fNot),hAPP_o1566711458t_bool(hAPP_f489569861t_bool(cOMBC_229530231l_bool,hAPP_f1677329295l_bool(hAPP_f1611569977l_bool(cOMBB_731867268ol_nat,fequal1937332960on_val),M_1)),none_P179726773on_val))) ).
fof(fact_627_dom__def,axiom,
! [M_1] : dom_list_char_val(M_1) = collect_list_char(hAPP_f1371002581r_bool(hAPP_f1861125939r_bool(cOMBB_1091123364t_char,fNot),hAPP_o453398608r_bool(hAPP_f399018025r_bool(cOMBC_442485623l_bool,hAPP_f396807521l_bool(hAPP_f926979333l_bool(cOMBB_1112666310t_char,fequal_option_val),M_1)),none_val))) ).
fof(fact_628_domIff,axiom,
! [A,M_1] :
( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),dom_na996029170on_val(M_1)))
<=> hAPP_n546249108on_val(M_1,A) != none_P179726773on_val ) ).
fof(fact_629_domIff,axiom,
! [A,M_1] :
( hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,A),dom_list_char_val(M_1)))
<=> hAPP_l207779698on_val(M_1,A) != none_val ) ).
fof(fact_630_redp__redsp_OBlockRedNone,axiom,
! [Ta,Pa,Eb,Hb,Lb,Va_1,E_b,H_b,L_b] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),fun_up1149430426on_val(Lb,Va_1,none_val))),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))
=> ( hAPP_l207779698on_val(L_b,Va_1) = none_val
=> ( ~ hBOOL(assigned(Va_1,Eb))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(Va_1,Ta,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),block_list_char(Va_1,Ta,E_b)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),fun_up1149430426on_val(L_b,Va_1,hAPP_l207779698on_val(Lb,Va_1))))) ) ) ) ).
fof(fact_631_map__add__None,axiom,
! [M_1,N,K] :
( hAPP_l207779698on_val(map_ad325961431ar_val(M_1,N),K) = none_val
<=> ( hAPP_l207779698on_val(N,K) = none_val
& hAPP_l207779698on_val(M_1,K) = none_val ) ) ).
fof(fact_632_empty__upd__none,axiom,
! [X_2,X_1] : hAPP_P2094403585on_val(fun_up204312361on_val(hAPP_o1269033393on_val(cOMBK_1867744698t_char,none_val),X_2,none_val),X_1) = none_val ).
fof(fact_633_empty__upd__none,axiom,
! [X_2,X_1] : hAPP_n546249108on_val(fun_up2041264236on_val(hAPP_o1576581476on_val(cOMBK_1944287343al_nat,none_P179726773on_val),X_2,none_P179726773on_val),X_1) = none_P179726773on_val ).
fof(fact_634_empty__upd__none,axiom,
! [X_2,X_1] : hAPP_l512744617ion_ty(fun_up424764369ion_ty(hAPP_o1240645474ion_ty(cOMBK_1294242658t_char,none_ty),X_2,none_ty),X_1) = none_ty ).
fof(fact_635_empty__upd__none,axiom,
! [X_2,X_1] : hAPP_l207779698on_val(fun_up1149430426on_val(hAPP_o538043682on_val(cOMBK_1097134891t_char,none_val),X_2,none_val),X_1) = none_val ).
fof(fact_636_map__add__empty,axiom,
! [M_1] : map_ad325961431ar_val(M_1,hAPP_o538043682on_val(cOMBK_1097134891t_char,none_val)) = M_1 ).
fof(fact_637_empty__map__add,axiom,
! [M_1] : map_ad325961431ar_val(hAPP_o538043682on_val(cOMBK_1097134891t_char,none_val),M_1) = M_1 ).
fof(fact_638_redp__redsp_ORedSeq,axiom,
! [Pa,Va,E_2,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,seq_list_char(hAPP_v834067052t_char(val_list_char,Va),E_2),S),E_2),S)) ).
fof(fact_639_map__upd__nonempty,axiom,
! [T_2,K,X_2] :
~ ! [X_1] : hAPP_P2094403585on_val(fun_up204312361on_val(T_2,K,hAPP_val_option_val(some_val,X_2)),X_1) = none_val ).
fof(fact_640_map__upd__nonempty,axiom,
! [T_2,K,X_2] :
~ ! [X_1] : hAPP_n546249108on_val(fun_up2041264236on_val(T_2,K,hAPP_P1510515380on_val(some_P948696889on_val,X_2)),X_1) = none_P179726773on_val ).
fof(fact_641_map__upd__nonempty,axiom,
! [T_2,K,X_2] :
~ ! [X_1] : hAPP_l512744617ion_ty(fun_up424764369ion_ty(T_2,K,hAPP_ty_option_ty(some_ty,X_2)),X_1) = none_ty ).
fof(fact_642_map__upd__nonempty,axiom,
! [T_2,K,X_2] :
~ ! [X_1] : hAPP_l207779698on_val(fun_up1149430426on_val(T_2,K,hAPP_val_option_val(some_val,X_2)),X_1) = none_val ).
fof(fact_643_redp__redsp_ORedBlock,axiom,
! [Pa,Va_1,Ta,U,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(Va_1,Ta,hAPP_v834067052t_char(val_list_char,U)),S),hAPP_v834067052t_char(val_list_char,U)),S)) ).
fof(fact_644_map__add__SomeD,axiom,
! [M_1,N,K,X_2] :
( hAPP_l207779698on_val(map_ad325961431ar_val(M_1,N),K) = hAPP_val_option_val(some_val,X_2)
=> ( hAPP_l207779698on_val(N,K) = hAPP_val_option_val(some_val,X_2)
| ( hAPP_l207779698on_val(N,K) = none_val
& hAPP_l207779698on_val(M_1,K) = hAPP_val_option_val(some_val,X_2) ) ) ) ).
fof(fact_645_map__add__Some__iff,axiom,
! [M_1,N,K,X_2] :
( hAPP_l207779698on_val(map_ad325961431ar_val(M_1,N),K) = hAPP_val_option_val(some_val,X_2)
<=> ( hAPP_l207779698on_val(N,K) = hAPP_val_option_val(some_val,X_2)
| ( hAPP_l207779698on_val(N,K) = none_val
& hAPP_l207779698on_val(M_1,K) = hAPP_val_option_val(some_val,X_2) ) ) ) ).
fof(fact_646_SeqReds,axiom,
! [E_2,Eb,S,E_b,S_2,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),transi2024712006on_val(red(Pa))))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(Eb,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(E_b,E_2)),S_2))),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_647_LAssReds,axiom,
! [Va_1,Eb,S,E_b,S_2,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),transi2024712006on_val(red(Pa))))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(Va_1,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(Va_1,E_b)),S_2))),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_648_redp__redsp_OBlockRedSome,axiom,
! [Ta,Va,Pa,Eb,Hb,Lb,Va_1,E_b,H_b,L_b] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),fun_up1149430426on_val(Lb,Va_1,none_val))),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))
=> ( hAPP_l207779698on_val(L_b,Va_1) = hAPP_val_option_val(some_val,Va)
=> ( ~ hBOOL(assigned(Va_1,Eb))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(Va_1,Ta,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),block_list_char(Va_1,Ta,seq_list_char(lAss_list_char(Va_1,hAPP_v834067052t_char(val_list_char,Va)),E_b))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),fun_up1149430426on_val(L_b,Va_1,hAPP_l207779698on_val(Lb,Va_1))))) ) ) ) ).
fof(fact_649_SeqReds2,axiom,
! [E_2,E_2_1,S_2_1,E_1_1,S_0,V_1_2,S_1,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_1_1),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V_1_2)),S_1))),transi2024712006on_val(red(Pa))))
=> ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2_1),S_2_1))),transi2024712006on_val(red(Pa))))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(E_1_1,E_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2_1),S_2_1))),transi2024712006on_val(red(Pa)))) ) ) ).
fof(fact_650_redp__red__eq,axiom,
! [Pa,X_1,Xa,Xb,Xc] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,X_1,Xa),Xb),Xc))
<=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,X_1),Xa)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Xb),Xc))),red(Pa))) ) ).
fof(fact_651_hconfD,axiom,
! [A,Obj,Pa,Hb] :
( hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(Pa),Hb))
=> ( hAPP_n546249108on_val(Hb,A) = hAPP_P1510515380on_val(some_P948696889on_val,Obj)
=> hBOOL(hAPP_P1235399154l_bool(oconf_1869808039t_char(Pa,Hb),Obj)) ) ) ).
fof(fact_652_redp__redsp_ORedInitBlock,axiom,
! [Pa,Va_1,Ta,Va,U,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(Va_1,Ta,seq_list_char(lAss_list_char(Va_1,hAPP_v834067052t_char(val_list_char,Va)),hAPP_v834067052t_char(val_list_char,U))),S),hAPP_v834067052t_char(val_list_char,U)),S)) ).
fof(fact_653_red__reds_OBlockRedNone,axiom,
! [Ta,Eb,Hb,Lb,Va_1,E_b,H_b,L_b,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),fun_up1149430426on_val(Lb,Va_1,none_val)))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))),red(Pa)))
=> ( hAPP_l207779698on_val(L_b,Va_1) = none_val
=> ( ~ hBOOL(assigned(Va_1,Eb))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(Va_1,Ta,Eb)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(Va_1,Ta,E_b)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),fun_up1149430426on_val(L_b,Va_1,hAPP_l207779698on_val(Lb,Va_1)))))),red(Pa))) ) ) ) ).
fof(fact_654_Red__lcl__add,axiom,
! [L_0,Eb,Hb,Lb,E_b,H_b,L_b,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))),transi2024712006on_val(red(Pa))))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),map_ad325961431ar_val(L_0,Lb)))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),map_ad325961431ar_val(L_0,L_b))))),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_655_WTrt__elim__cases_I1_J,axiom,
! [Pa,Hb,Ea,Va,Eb,Ta] :
( hBOOL(wTrt_1(Pa,Hb,Ea,lAss_list_char(Va,Eb),Ta))
=> ~ ( Ta = void
=> ! [T_4] :
( hAPP_l512744617ion_ty(Ea,Va) = hAPP_ty_option_ty(some_ty,T_4)
=> ! [T_5] :
( hBOOL(wTrt_1(Pa,Hb,Ea,Eb,T_5))
=> ~ hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_5),T_4)) ) ) ) ) ).
fof(fact_656_InitBlockReds,axiom,
! [Ta,Eb,Hb,Lb,Va_1,Va,E_b,H_b,L_b,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),fun_up1149430426on_val(Lb,Va_1,hAPP_val_option_val(some_val,Va))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))),transi2024712006on_val(red(Pa))))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(Va_1,Ta,seq_list_char(lAss_list_char(Va_1,hAPP_v834067052t_char(val_list_char,Va)),Eb))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(Va_1,Ta,seq_list_char(lAss_list_char(Va_1,hAPP_v834067052t_char(val_list_char,hAPP_option_val_val(the_val,hAPP_l207779698on_val(L_b,Va_1)))),E_b))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),fun_up1149430426on_val(L_b,Va_1,hAPP_l207779698on_val(Lb,Va_1)))))),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_657_InitBlockRedsFinal,axiom,
! [Ta,Eb,Hb,Lb,Va_1,Va,E_b,H_b,L_b,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),fun_up1149430426on_val(Lb,Va_1,hAPP_val_option_val(some_val,Va))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))),transi2024712006on_val(red(Pa))))
=> ( hBOOL(final_list_char(E_b))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(Va_1,Ta,seq_list_char(lAss_list_char(Va_1,hAPP_v834067052t_char(val_list_char,Va)),Eb))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),fun_up1149430426on_val(L_b,Va_1,hAPP_l207779698on_val(Lb,Va_1)))))),transi2024712006on_val(red(Pa)))) ) ) ).
fof(fact_658_assigned__def,axiom,
! [Va_1,Eb] :
( hBOOL(assigned(Va_1,Eb))
<=> ? [V_2,E_1] : Eb = seq_list_char(lAss_list_char(Va_1,hAPP_v834067052t_char(val_list_char,V_2)),E_1) ) ).
fof(fact_659_rtrancl_Ortrancl__refl,axiom,
! [A,R_1] : hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),A)),transi374442731on_val(R_1))) ).
fof(fact_660_rtrancl_Ortrancl__refl,axiom,
! [A,R_1] : hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),A)),transi1395422419t_char(R_1))) ).
fof(fact_661_rtrancl_Ortrancl__refl,axiom,
! [A,R_1] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),A)),transi2024712006on_val(R_1))) ).
fof(fact_662_rtrancl_Ortrancl__refl,axiom,
! [A,R_1] : hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),A)),transi935034983cl_val(R_1))) ).
fof(fact_663_BlockRedsFinal,axiom,
! [Ta,H_0,L_0,Va_1,E_0,S_0,E_2,H_2,L_2,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_0),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),L_2)))),transi2024712006on_val(red(Pa))))
=> ( hBOOL(final_list_char(E_2))
=> ( S_0 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_0),fun_up1149430426on_val(L_0,Va_1,none_val))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(Va_1,Ta,E_0)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_0),L_0))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),fun_up1149430426on_val(L_2,Va_1,hAPP_l207779698on_val(L_0,Va_1)))))),transi2024712006on_val(red(Pa)))) ) ) ) ).
fof(fact_664_oconf__fupd,axiom,
! [Fs,Hb,Va,Pa,C,F,Ta,D] :
( hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(Pa,C,F,Ta),D))
=> ( hBOOL(conf_P373316194t_char(Pa,Hb,Va,Ta))
=> ( hBOOL(hAPP_P1235399154l_bool(oconf_1869808039t_char(Pa,Hb),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs)))
=> hBOOL(hAPP_P1235399154l_bool(oconf_1869808039t_char(Pa,Hb),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),fun_up204312361on_val(Fs,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,F),D),hAPP_val_option_val(some_val,Va))))) ) ) ) ).
fof(fact_665_r__into__rtrancl,axiom,
! [P_1,R_1] :
( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,P_1),R_1))
=> hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,P_1),transi374442731on_val(R_1))) ) ).
fof(fact_666_r__into__rtrancl,axiom,
! [P_1,R_1] :
( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,P_1),R_1))
=> hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,P_1),transi1395422419t_char(R_1))) ) ).
fof(fact_667_r__into__rtrancl,axiom,
! [P_1,R_1] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,P_1),R_1))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,P_1),transi2024712006on_val(R_1))) ) ).
fof(fact_668_equalityI,axiom,
! [A_2,B_1] :
( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(A_2),B_1))
=> ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(B_1),A_2))
=> A_2 = B_1 ) ) ).
fof(fact_669_subsetD,axiom,
! [C_2,A_2,B_1] :
( hBOOL(hAPP_f483496539l_bool(ord_le1987888477r_bool(A_2),B_1))
=> ( hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,C_2),A_2))
=> hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,C_2),B_1)) ) ) ).
fof(fact_670_subsetD,axiom,
! [C_2,A_2,B_1] :
( hBOOL(hAPP_f515912112l_bool(ord_le117566470r_bool(A_2),B_1))
=> ( hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,C_2),A_2))
=> hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,C_2),B_1)) ) ) ).
fof(fact_671_subsetD,axiom,
! [C_2,A_2,B_1] :
( hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(A_2),B_1))
=> ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,C_2),A_2))
=> hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,C_2),B_1)) ) ) ).
fof(fact_672_subsetD,axiom,
! [C_2,A_2,B_1] :
( hBOOL(hAPP_f54304608l_bool(ord_le1568362934t_bool(A_2),B_1))
=> ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_2),A_2))
=> hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_2),B_1)) ) ) ).
fof(fact_673_subsetD,axiom,
! [C_2,A_2,B_1] :
( hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(A_2),B_1))
=> ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,C_2),A_2))
=> hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,C_2),B_1)) ) ) ).
fof(fact_674_subsetD,axiom,
! [C_2,A_2,B_1] :
( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(A_2),B_1))
=> ( hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,C_2),A_2))
=> hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,C_2),B_1)) ) ) ).
fof(fact_675_subsetD,axiom,
! [C_2,A_2,B_1] :
( hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(A_2),B_1))
=> ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,C_2),A_2))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,C_2),B_1)) ) ) ).
fof(fact_676_rtrancl__mono,axiom,
! [R_1,S] :
( hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(R_1),S))
=> hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(transi374442731on_val(R_1)),transi374442731on_val(S))) ) ).
fof(fact_677_rtrancl__mono,axiom,
! [R_1,S] :
( hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(R_1),S))
=> hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(transi1395422419t_char(R_1)),transi1395422419t_char(S))) ) ).
fof(fact_678_rtrancl__mono,axiom,
! [R_1,S] :
( hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(R_1),S))
=> hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(transi2024712006on_val(R_1)),transi2024712006on_val(S))) ) ).
fof(fact_679_rtrancl__subset,axiom,
! [R_2,S_4] :
( hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(R_2),S_4))
=> ( hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(S_4),transi374442731on_val(R_2)))
=> transi374442731on_val(S_4) = transi374442731on_val(R_2) ) ) ).
fof(fact_680_rtrancl__subset,axiom,
! [R_2,S_4] :
( hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(R_2),S_4))
=> ( hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(S_4),transi1395422419t_char(R_2)))
=> transi1395422419t_char(S_4) = transi1395422419t_char(R_2) ) ) ).
fof(fact_681_rtrancl__subset,axiom,
! [R_2,S_4] :
( hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(R_2),S_4))
=> ( hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(S_4),transi2024712006on_val(R_2)))
=> transi2024712006on_val(S_4) = transi2024712006on_val(R_2) ) ) ).
fof(fact_682_rtrancl__subset__rtrancl,axiom,
! [R_1,S] :
( hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(R_1),transi374442731on_val(S)))
=> hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(transi374442731on_val(R_1)),transi374442731on_val(S))) ) ).
fof(fact_683_rtrancl__subset__rtrancl,axiom,
! [R_1,S] :
( hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(R_1),transi1395422419t_char(S)))
=> hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(transi1395422419t_char(R_1)),transi1395422419t_char(S))) ) ).
fof(fact_684_rtrancl__subset__rtrancl,axiom,
! [R_1,S] :
( hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(R_1),transi2024712006on_val(S)))
=> hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(transi2024712006on_val(R_1)),transi2024712006on_val(S))) ) ).
fof(fact_685_the_Osimps,axiom,
! [X_3] : hAPP_option_val_val(the_val,hAPP_val_option_val(some_val,X_3)) = X_3 ).
fof(fact_686_the_Osimps,axiom,
! [X_3] : hAPP_option_nat_nat(the_nat,hAPP_nat_option_nat(some_nat,X_3)) = X_3 ).
fof(fact_687_the_Osimps,axiom,
! [X_2] : hAPP_o1977518472on_val(the_Pr431167171on_val,hAPP_P1510515380on_val(some_P948696889on_val,X_2)) = X_2 ).
fof(fact_688_the_Osimps,axiom,
! [X_3] : hAPP_option_ty_ty(the_ty,hAPP_ty_option_ty(some_ty,X_3)) = X_3 ).
fof(fact_689_the_Osimps,axiom,
! [X_2] : hAPP_o285151112r_bool(the_fu297177755r_bool,hAPP_f363827556r_bool(some_f80346385r_bool,X_2)) = X_2 ).
fof(fact_690_subset__refl,axiom,
! [A_2] : hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(A_2),A_2)) ).
fof(fact_691_set__eq__subset,axiom,
! [A_2,B_1] :
( A_2 = B_1
<=> ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(A_2),B_1))
& hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(B_1),A_2)) ) ) ).
fof(fact_692_equalityD1,axiom,
! [A_2,B_1] :
( A_2 = B_1
=> hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(A_2),B_1)) ) ).
fof(fact_693_equalityD2,axiom,
! [A_2,B_1] :
( A_2 = B_1
=> hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(B_1),A_2)) ) ).
fof(fact_694_in__mono,axiom,
! [X_2,A_2,B_1] :
( hBOOL(hAPP_f483496539l_bool(ord_le1987888477r_bool(A_2),B_1))
=> ( hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,X_2),A_2))
=> hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,X_2),B_1)) ) ) ).
fof(fact_695_in__mono,axiom,
! [X_2,A_2,B_1] :
( hBOOL(hAPP_f515912112l_bool(ord_le117566470r_bool(A_2),B_1))
=> ( hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,X_2),A_2))
=> hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,X_2),B_1)) ) ) ).
fof(fact_696_in__mono,axiom,
! [X_2,A_2,B_1] :
( hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(A_2),B_1))
=> ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,X_2),A_2))
=> hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,X_2),B_1)) ) ) ).
fof(fact_697_in__mono,axiom,
! [X_2,A_2,B_1] :
( hBOOL(hAPP_f54304608l_bool(ord_le1568362934t_bool(A_2),B_1))
=> ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A_2))
=> hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),B_1)) ) ) ).
fof(fact_698_in__mono,axiom,
! [X_2,A_2,B_1] :
( hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(A_2),B_1))
=> ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,X_2),A_2))
=> hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,X_2),B_1)) ) ) ).
fof(fact_699_in__mono,axiom,
! [X_2,A_2,B_1] :
( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(A_2),B_1))
=> ( hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,X_2),A_2))
=> hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,X_2),B_1)) ) ) ).
fof(fact_700_in__mono,axiom,
! [X_2,A_2,B_1] :
( hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(A_2),B_1))
=> ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,X_2),A_2))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,X_2),B_1)) ) ) ).
fof(fact_701_set__rev__mp,axiom,
! [B_1,X_2,A_2] :
( hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,X_2),A_2))
=> ( hBOOL(hAPP_f483496539l_bool(ord_le1987888477r_bool(A_2),B_1))
=> hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,X_2),B_1)) ) ) ).
fof(fact_702_set__rev__mp,axiom,
! [B_1,X_2,A_2] :
( hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,X_2),A_2))
=> ( hBOOL(hAPP_f515912112l_bool(ord_le117566470r_bool(A_2),B_1))
=> hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,X_2),B_1)) ) ) ).
fof(fact_703_set__rev__mp,axiom,
! [B_1,X_2,A_2] :
( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,X_2),A_2))
=> ( hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(A_2),B_1))
=> hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,X_2),B_1)) ) ) ).
fof(fact_704_set__rev__mp,axiom,
! [B_1,X_2,A_2] :
( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A_2))
=> ( hBOOL(hAPP_f54304608l_bool(ord_le1568362934t_bool(A_2),B_1))
=> hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),B_1)) ) ) ).
fof(fact_705_set__rev__mp,axiom,
! [B_1,X_2,A_2] :
( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,X_2),A_2))
=> ( hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(A_2),B_1))
=> hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,X_2),B_1)) ) ) ).
fof(fact_706_set__rev__mp,axiom,
! [B_1,X_2,A_2] :
( hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,X_2),A_2))
=> ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(A_2),B_1))
=> hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,X_2),B_1)) ) ) ).
fof(fact_707_set__rev__mp,axiom,
! [B_1,X_2,A_2] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,X_2),A_2))
=> ( hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(A_2),B_1))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,X_2),B_1)) ) ) ).
fof(fact_708_set__mp,axiom,
! [X_2,A_2,B_1] :
( hBOOL(hAPP_f483496539l_bool(ord_le1987888477r_bool(A_2),B_1))
=> ( hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,X_2),A_2))
=> hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,X_2),B_1)) ) ) ).
fof(fact_709_set__mp,axiom,
! [X_2,A_2,B_1] :
( hBOOL(hAPP_f515912112l_bool(ord_le117566470r_bool(A_2),B_1))
=> ( hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,X_2),A_2))
=> hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,X_2),B_1)) ) ) ).
fof(fact_710_set__mp,axiom,
! [X_2,A_2,B_1] :
( hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(A_2),B_1))
=> ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,X_2),A_2))
=> hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,X_2),B_1)) ) ) ).
fof(fact_711_set__mp,axiom,
! [X_2,A_2,B_1] :
( hBOOL(hAPP_f54304608l_bool(ord_le1568362934t_bool(A_2),B_1))
=> ( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A_2))
=> hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),B_1)) ) ) ).
fof(fact_712_set__mp,axiom,
! [X_2,A_2,B_1] :
( hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(A_2),B_1))
=> ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,X_2),A_2))
=> hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,X_2),B_1)) ) ) ).
fof(fact_713_set__mp,axiom,
! [X_2,A_2,B_1] :
( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(A_2),B_1))
=> ( hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,X_2),A_2))
=> hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,X_2),B_1)) ) ) ).
fof(fact_714_set__mp,axiom,
! [X_2,A_2,B_1] :
( hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(A_2),B_1))
=> ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,X_2),A_2))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,X_2),B_1)) ) ) ).
fof(fact_715_subset__trans,axiom,
! [C,A_2,B_1] :
( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(A_2),B_1))
=> ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(B_1),C))
=> hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(A_2),C)) ) ) ).
fof(fact_716_equalityE,axiom,
! [A_2,B_1] :
( A_2 = B_1
=> ~ ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(A_2),B_1))
=> ~ hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(B_1),A_2)) ) ) ).
fof(fact_717_hext__new,axiom,
! [X_2,Hb,A] :
( hAPP_n546249108on_val(Hb,A) = none_P179726773on_val
=> hBOOL(hext(Hb,fun_up2041264236on_val(Hb,A,hAPP_P1510515380on_val(some_P948696889on_val,X_2)))) ) ).
fof(fact_718_rtrancl__idemp,axiom,
! [R_1] : transi374442731on_val(transi374442731on_val(R_1)) = transi374442731on_val(R_1) ).
fof(fact_719_rtrancl__idemp,axiom,
! [R_1] : transi1395422419t_char(transi1395422419t_char(R_1)) = transi1395422419t_char(R_1) ).
fof(fact_720_rtrancl__idemp,axiom,
! [R_1] : transi2024712006on_val(transi2024712006on_val(R_1)) = transi2024712006on_val(R_1) ).
fof(fact_721_hconf__new,axiom,
! [Obj,A,Pa,Hb] :
( hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(Pa),Hb))
=> ( hAPP_n546249108on_val(Hb,A) = none_P179726773on_val
=> ( hBOOL(hAPP_P1235399154l_bool(oconf_1869808039t_char(Pa,Hb),Obj))
=> hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(Pa),fun_up2041264236on_val(Hb,A,hAPP_P1510515380on_val(some_P948696889on_val,Obj)))) ) ) ) ).
fof(fact_722_converse__rtrancl__into__rtrancl,axiom,
! [C_2,A,B,R_1] :
( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B)),R_1))
=> ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B),C_2)),transi374442731on_val(R_1)))
=> hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),C_2)),transi374442731on_val(R_1))) ) ) ).
fof(fact_723_converse__rtrancl__into__rtrancl,axiom,
! [C_2,A,B,R_1] :
( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B)),R_1))
=> ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,B),C_2)),transi1395422419t_char(R_1)))
=> hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),C_2)),transi1395422419t_char(R_1))) ) ) ).
fof(fact_724_converse__rtrancl__into__rtrancl,axiom,
! [C_2,A,B,R_1] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B)),R_1))
=> ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B),C_2)),transi2024712006on_val(R_1)))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),C_2)),transi2024712006on_val(R_1))) ) ) ).
fof(fact_725_converse__rtrancl__into__rtrancl,axiom,
! [C_2,A,B,R_1] :
( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),B)),R_1))
=> ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,B),C_2)),transi935034983cl_val(R_1)))
=> hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),C_2)),transi935034983cl_val(R_1))) ) ) ).
fof(fact_726_rtrancl_Ortrancl__into__rtrancl,axiom,
! [C_2,A,B,R_1] :
( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B)),transi374442731on_val(R_1)))
=> ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B),C_2)),R_1))
=> hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),C_2)),transi374442731on_val(R_1))) ) ) ).
fof(fact_727_rtrancl_Ortrancl__into__rtrancl,axiom,
! [C_2,A,B,R_1] :
( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B)),transi1395422419t_char(R_1)))
=> ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,B),C_2)),R_1))
=> hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),C_2)),transi1395422419t_char(R_1))) ) ) ).
fof(fact_728_rtrancl_Ortrancl__into__rtrancl,axiom,
! [C_2,A,B,R_1] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B)),transi2024712006on_val(R_1)))
=> ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B),C_2)),R_1))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),C_2)),transi2024712006on_val(R_1))) ) ) ).
fof(fact_729_rtrancl_Ortrancl__into__rtrancl,axiom,
! [C_2,A,B,R_1] :
( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),B)),transi935034983cl_val(R_1)))
=> ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,B),C_2)),R_1))
=> hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),C_2)),transi935034983cl_val(R_1))) ) ) ).
fof(fact_730_rtrancl__trans,axiom,
! [C_2,A,B,R_1] :
( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B)),transi374442731on_val(R_1)))
=> ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B),C_2)),transi374442731on_val(R_1)))
=> hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),C_2)),transi374442731on_val(R_1))) ) ) ).
fof(fact_731_rtrancl__trans,axiom,
! [C_2,A,B,R_1] :
( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B)),transi1395422419t_char(R_1)))
=> ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,B),C_2)),transi1395422419t_char(R_1)))
=> hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),C_2)),transi1395422419t_char(R_1))) ) ) ).
fof(fact_732_rtrancl__trans,axiom,
! [C_2,A,B,R_1] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B)),transi2024712006on_val(R_1)))
=> ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B),C_2)),transi2024712006on_val(R_1)))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),C_2)),transi2024712006on_val(R_1))) ) ) ).
fof(fact_733_rtrancl__trans,axiom,
! [C_2,A,B,R_1] :
( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),B)),transi935034983cl_val(R_1)))
=> ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,B),C_2)),transi935034983cl_val(R_1)))
=> hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),C_2)),transi935034983cl_val(R_1))) ) ) ).
fof(fact_734_subsetI,axiom,
! [B_1,A_2] :
( ! [X_1] :
( hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,X_1),A_2))
=> hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,X_1),B_1)) )
=> hBOOL(hAPP_f483496539l_bool(ord_le1987888477r_bool(A_2),B_1)) ) ).
fof(fact_735_subsetI,axiom,
! [B_1,A_2] :
( ! [X_1] :
( hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,X_1),A_2))
=> hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,X_1),B_1)) )
=> hBOOL(hAPP_f515912112l_bool(ord_le117566470r_bool(A_2),B_1)) ) ).
fof(fact_736_subsetI,axiom,
! [B_1,A_2] :
( ! [X_1] :
( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,X_1),A_2))
=> hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,X_1),B_1)) )
=> hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(A_2),B_1)) ) ).
fof(fact_737_subsetI,axiom,
! [B_1,A_2] :
( ! [X_1] :
( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),A_2))
=> hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),B_1)) )
=> hBOOL(hAPP_f54304608l_bool(ord_le1568362934t_bool(A_2),B_1)) ) ).
fof(fact_738_subsetI,axiom,
! [B_1,A_2] :
( ! [X_1] :
( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,X_1),A_2))
=> hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,X_1),B_1)) )
=> hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(A_2),B_1)) ) ).
fof(fact_739_subsetI,axiom,
! [B_1,A_2] :
( ! [X_1] :
( hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,X_1),A_2))
=> hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,X_1),B_1)) )
=> hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(A_2),B_1)) ) ).
fof(fact_740_subsetI,axiom,
! [B_1,A_2] :
( ! [X_1] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,X_1),A_2))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,X_1),B_1)) )
=> hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(A_2),B_1)) ) ).
fof(fact_741_converse__rtranclE2,axiom,
! [Xa_1,Xb_1,Za,Zb,R_1] :
( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Xa_1),Xb_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Za),Zb))),transi374442731on_val(R_1)))
=> ( hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Xa_1),Xb_1) != hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Za),Zb)
=> ~ ! [A_1,B_2] :
( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Xa_1),Xb_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_1),B_2))),R_1))
=> ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_1),B_2)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Za),Zb))),transi374442731on_val(R_1))) ) ) ) ).
fof(fact_742_converse__rtranclE2,axiom,
! [Xa_1,Xb_1,Za,Zb,R_1] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Xa_1),Xb_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Za),Zb))),transi2024712006on_val(R_1)))
=> ( hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Xa_1),Xb_1) != hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Za),Zb)
=> ~ ! [A_1,B_2] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Xa_1),Xb_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_1),B_2))),R_1))
=> ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_1),B_2)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Za),Zb))),transi2024712006on_val(R_1))) ) ) ) ).
fof(fact_743_converse__rtranclE2,axiom,
! [Xa_1,Xb_1,Za,Zb,R_1] :
( hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Xa_1),Xb_1)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Za),Zb))),transi198989188t_char(R_1)))
=> ( hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Xa_1),Xb_1) != hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Za),Zb)
=> ~ ! [A_1,B_2] :
( hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Xa_1),Xb_1)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_1),B_2))),R_1))
=> ~ hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_1),B_2)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Za),Zb))),transi198989188t_char(R_1))) ) ) ) ).
fof(fact_744_converse__rtranclE2,axiom,
! [Xa_1,Xb_1,Za,Zb,R_1] :
( hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Xa_1),Xb_1)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Za),Zb))),transi772168185t_char(R_1)))
=> ( hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Xa_1),Xb_1) != hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Za),Zb)
=> ~ ! [A_1,B_2] :
( hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Xa_1),Xb_1)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_1),B_2))),R_1))
=> ~ hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_1),B_2)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Za),Zb))),transi772168185t_char(R_1))) ) ) ) ).
fof(fact_745_converse__rtranclE2,axiom,
! [Xa_1,Xb_1,Za,Zb,R_1] :
( hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Xa_1),Xb_1)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Za),Zb))),transi2005320128t_char(R_1)))
=> ( hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Xa_1),Xb_1) != hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Za),Zb)
=> ~ ! [A_1,B_2] :
( hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Xa_1),Xb_1)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_1),B_2))),R_1))
=> ~ hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_1),B_2)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Za),Zb))),transi2005320128t_char(R_1))) ) ) ) ).
fof(fact_746_converse__rtranclE2,axiom,
! [Xa_1,Xb_1,Za,Zb,R_1] :
( hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Xa_1),Xb_1)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Za),Zb))),transi1123801095t_char(R_1)))
=> ( hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Xa_1),Xb_1) != hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Za),Zb)
=> ~ ! [A_1,B_2] :
( hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Xa_1),Xb_1)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),B_2))),R_1))
=> ~ hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),B_2)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Za),Zb))),transi1123801095t_char(R_1))) ) ) ) ).
fof(fact_747_converse__rtranclE2,axiom,
! [Xa_1,Xb_1,Za,Zb,R_1] :
( hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Xa_1),Xb_1)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Za),Zb))),transi1789604888t_char(R_1)))
=> ( hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Xa_1),Xb_1) != hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Za),Zb)
=> ~ ! [A_1,B_2] :
( hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Xa_1),Xb_1)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_1),B_2))),R_1))
=> ~ hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_1),B_2)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Za),Zb))),transi1789604888t_char(R_1))) ) ) ) ).
fof(fact_748_converse__rtranclE2,axiom,
! [Xa_1,Xb_1,Za,Zb,R_1] :
( hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Xa_1),Xb_1)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Za),Zb))),transi1257872013t_char(R_1)))
=> ( hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Xa_1),Xb_1) != hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Za),Zb)
=> ~ ! [A_1,B_2] :
( hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Xa_1),Xb_1)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_1),B_2))),R_1))
=> ~ hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_1),B_2)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Za),Zb))),transi1257872013t_char(R_1))) ) ) ) ).
fof(fact_749_converse__rtranclE2,axiom,
! [Xa_1,Xb_1,Za,Zb,R_1] :
( hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Xa_1),Xb_1)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Za),Zb))),transi122195895t_char(R_1)))
=> ( hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Xa_1),Xb_1) != hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Za),Zb)
=> ~ ! [A_1,B_2] :
( hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Xa_1),Xb_1)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),B_2))),R_1))
=> ~ hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),B_2)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Za),Zb))),transi122195895t_char(R_1))) ) ) ) ).
fof(fact_750_converse__rtranclE2,axiom,
! [Xa_1,Xb_1,Za,Zb,R_1] :
( hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Xa_1),Xb_1)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Za),Zb))),transi208336786on_val(R_1)))
=> ( hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Xa_1),Xb_1) != hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Za),Zb)
=> ~ ! [A_1,B_2] :
( hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Xa_1),Xb_1)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),B_2))),R_1))
=> ~ hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),B_2)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Za),Zb))),transi208336786on_val(R_1))) ) ) ) ).
fof(fact_751_converse__rtranclE2,axiom,
! [Xa_1,Xb_1,Za,Zb,R_1] :
( hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Xa_1),Xb_1)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Za),Zb))),transi1423755450al_val(R_1)))
=> ( hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Xa_1),Xb_1) != hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Za),Zb)
=> ~ ! [A_1,B_2] :
( hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Xa_1),Xb_1)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),B_2))),R_1))
=> ~ hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),B_2)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Za),Zb))),transi1423755450al_val(R_1))) ) ) ) ).
fof(fact_752_converse__rtranclE2,axiom,
! [Xa_1,Xb_1,Za,Zb,R_1] :
( hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Xa_1),Xb_1)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Za),Zb))),transi1906258203al_val(R_1)))
=> ( hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Xa_1),Xb_1) != hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Za),Zb)
=> ~ ! [A_1,B_2] :
( is_bop(A_1)
=> ( hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Xa_1),Xb_1)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_1),B_2))),R_1))
=> ~ hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_1),B_2)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Za),Zb))),transi1906258203al_val(R_1))) ) ) ) ) ).
fof(fact_753_converse__rtranclE2,axiom,
! [Xa_1,Xb_1,Za,Zb,R_1] :
( hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Xa_1),Xb_1)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Za),Zb))),transi1095029602t_char(R_1)))
=> ( hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Xa_1),Xb_1) != hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Za),Zb)
=> ~ ! [A_1,B_2] :
( hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Xa_1),Xb_1)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),B_2))),R_1))
=> ~ hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),B_2)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Za),Zb))),transi1095029602t_char(R_1))) ) ) ) ).
fof(fact_754_converse__rtranclE2,axiom,
! [Xa_1,Xb_1,Za,Zb,R_1] :
( hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Xa_1),Xb_1)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Za),Zb))),transi61620055on_val(R_1)))
=> ( hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Xa_1),Xb_1) != hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Za),Zb)
=> ~ ! [A_1,B_2] :
( hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Xa_1),Xb_1)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_1),B_2))),R_1))
=> ~ hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_1),B_2)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Za),Zb))),transi61620055on_val(R_1))) ) ) ) ).
fof(fact_755_converse__rtranclE2,axiom,
! [Xa_1,Xb_1,Za,Zb,R_1] :
( hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Xa_1),Xb_1)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Za),Zb))),transi921647814on_val(R_1)))
=> ( hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Xa_1),Xb_1) != hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Za),Zb)
=> ~ ! [A_1,B_2] :
( hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Xa_1),Xb_1)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_1),B_2))),R_1))
=> ~ hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_1),B_2)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Za),Zb))),transi921647814on_val(R_1))) ) ) ) ).
fof(fact_756_converse__rtranclE2,axiom,
! [Xa_1,Xb_1,Za,Zb,R_1] :
( hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Xa_1),Xb_1)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Za),Zb))),transi910771962on_val(R_1)))
=> ( hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Xa_1),Xb_1) != hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Za),Zb)
=> ~ ! [A_1,B_2] :
( hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Xa_1),Xb_1)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),B_2))),R_1))
=> ~ hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),B_2)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Za),Zb))),transi910771962on_val(R_1))) ) ) ) ).
fof(fact_757_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Ax),Ay)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Bx),By))),transi374442731on_val(R_1)))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,Bx),By))
=> ( ! [A_1,B_2,Aa,Ba] :
( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_1),B_2)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Aa),Ba))),R_1))
=> ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Aa),Ba)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Bx),By))),transi374442731on_val(R_1)))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,Aa),Ba))
=> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,A_1),B_2)) ) ) )
=> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,Ax),Ay)) ) ) ) ).
fof(fact_758_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ax),Ay)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Bx),By))),transi2024712006on_val(R_1)))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,Bx),By))
=> ( ! [A_1,B_2,Aa,Ba] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_1),B_2)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Aa),Ba))),R_1))
=> ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Aa),Ba)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Bx),By))),transi2024712006on_val(R_1)))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,Aa),Ba))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,A_1),B_2)) ) ) )
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,Ax),Ay)) ) ) ) ).
fof(fact_759_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Ax),Ay)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Bx),By))),transi198989188t_char(R_1)))
=> ( hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(Pa,Bx),By))
=> ( ! [A_1,B_2,Aa,Ba] :
( hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_1),B_2)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Aa),Ba))),R_1))
=> ( hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Aa),Ba)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Bx),By))),transi198989188t_char(R_1)))
=> ( hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(Pa,Aa),Ba))
=> hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(Pa,A_1),B_2)) ) ) )
=> hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(Pa,Ax),Ay)) ) ) ) ).
fof(fact_760_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Ax),Ay)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Bx),By))),transi772168185t_char(R_1)))
=> ( hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(Pa,Bx),By))
=> ( ! [A_1,B_2,Aa,Ba] :
( hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_1),B_2)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Aa),Ba))),R_1))
=> ( hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Aa),Ba)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Bx),By))),transi772168185t_char(R_1)))
=> ( hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(Pa,Aa),Ba))
=> hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(Pa,A_1),B_2)) ) ) )
=> hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(Pa,Ax),Ay)) ) ) ) ).
fof(fact_761_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Ax),Ay)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Bx),By))),transi2005320128t_char(R_1)))
=> ( hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(Pa,Bx),By))
=> ( ! [A_1,B_2,Aa,Ba] :
( hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_1),B_2)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Aa),Ba))),R_1))
=> ( hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Aa),Ba)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Bx),By))),transi2005320128t_char(R_1)))
=> ( hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(Pa,Aa),Ba))
=> hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(Pa,A_1),B_2)) ) ) )
=> hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(Pa,Ax),Ay)) ) ) ) ).
fof(fact_762_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Ax),Ay)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Bx),By))),transi1123801095t_char(R_1)))
=> ( hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(Pa,Bx),By))
=> ( ! [A_1,B_2,Aa,Ba] :
( hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),B_2)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Aa),Ba))),R_1))
=> ( hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Aa),Ba)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Bx),By))),transi1123801095t_char(R_1)))
=> ( hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(Pa,Aa),Ba))
=> hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(Pa,A_1),B_2)) ) ) )
=> hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(Pa,Ax),Ay)) ) ) ) ).
fof(fact_763_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Ax),Ay)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Bx),By))),transi1789604888t_char(R_1)))
=> ( hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(Pa,Bx),By))
=> ( ! [A_1,B_2,Aa,Ba] :
( hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_1),B_2)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Aa),Ba))),R_1))
=> ( hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Aa),Ba)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Bx),By))),transi1789604888t_char(R_1)))
=> ( hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(Pa,Aa),Ba))
=> hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(Pa,A_1),B_2)) ) ) )
=> hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(Pa,Ax),Ay)) ) ) ) ).
fof(fact_764_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Ax),Ay)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Bx),By))),transi1257872013t_char(R_1)))
=> ( hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(Pa,Bx),By))
=> ( ! [A_1,B_2,Aa,Ba] :
( hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_1),B_2)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Aa),Ba))),R_1))
=> ( hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Aa),Ba)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Bx),By))),transi1257872013t_char(R_1)))
=> ( hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(Pa,Aa),Ba))
=> hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(Pa,A_1),B_2)) ) ) )
=> hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(Pa,Ax),Ay)) ) ) ) ).
fof(fact_765_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Ax),Ay)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Bx),By))),transi122195895t_char(R_1)))
=> ( hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(Pa,Bx),By))
=> ( ! [A_1,B_2,Aa,Ba] :
( hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),B_2)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Aa),Ba))),R_1))
=> ( hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Aa),Ba)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Bx),By))),transi122195895t_char(R_1)))
=> ( hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(Pa,Aa),Ba))
=> hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(Pa,A_1),B_2)) ) ) )
=> hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(Pa,Ax),Ay)) ) ) ) ).
fof(fact_766_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Ax),Ay)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Bx),By))),transi208336786on_val(R_1)))
=> ( hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,Bx),By))
=> ( ! [A_1,B_2,Aa,Ba] :
( hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),B_2)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Aa),Ba))),R_1))
=> ( hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Aa),Ba)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Bx),By))),transi208336786on_val(R_1)))
=> ( hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,Aa),Ba))
=> hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,A_1),B_2)) ) ) )
=> hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,Ax),Ay)) ) ) ) ).
fof(fact_767_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Ax),Ay)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Bx),By))),transi1423755450al_val(R_1)))
=> ( hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(Pa,Bx),By))
=> ( ! [A_1,B_2,Aa,Ba] :
( hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),B_2)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Aa),Ba))),R_1))
=> ( hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Aa),Ba)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Bx),By))),transi1423755450al_val(R_1)))
=> ( hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(Pa,Aa),Ba))
=> hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(Pa,A_1),B_2)) ) ) )
=> hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(Pa,Ax),Ay)) ) ) ) ).
fof(fact_768_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Ax),Ay)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Bx),By))),transi1906258203al_val(R_1)))
=> ( hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(Pa,Bx),By))
=> ( ! [A_1,B_2,Aa,Ba] :
( ( is_bop(A_1)
& is_bop(Aa) )
=> ( hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_1),B_2)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Aa),Ba))),R_1))
=> ( hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Aa),Ba)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Bx),By))),transi1906258203al_val(R_1)))
=> ( hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(Pa,Aa),Ba))
=> hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(Pa,A_1),B_2)) ) ) ) )
=> hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(Pa,Ax),Ay)) ) ) ) ).
fof(fact_769_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Ax),Ay)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Bx),By))),transi1095029602t_char(R_1)))
=> ( hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(Pa,Bx),By))
=> ( ! [A_1,B_2,Aa,Ba] :
( hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),B_2)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Aa),Ba))),R_1))
=> ( hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Aa),Ba)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Bx),By))),transi1095029602t_char(R_1)))
=> ( hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(Pa,Aa),Ba))
=> hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(Pa,A_1),B_2)) ) ) )
=> hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(Pa,Ax),Ay)) ) ) ) ).
fof(fact_770_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Ax),Ay)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Bx),By))),transi61620055on_val(R_1)))
=> ( hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(Pa,Bx),By))
=> ( ! [A_1,B_2,Aa,Ba] :
( hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_1),B_2)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Aa),Ba))),R_1))
=> ( hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Aa),Ba)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Bx),By))),transi61620055on_val(R_1)))
=> ( hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(Pa,Aa),Ba))
=> hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(Pa,A_1),B_2)) ) ) )
=> hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(Pa,Ax),Ay)) ) ) ) ).
fof(fact_771_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ax),Ay)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Bx),By))),transi921647814on_val(R_1)))
=> ( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,Bx),By))
=> ( ! [A_1,B_2,Aa,Ba] :
( hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_1),B_2)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Aa),Ba))),R_1))
=> ( hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Aa),Ba)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Bx),By))),transi921647814on_val(R_1)))
=> ( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,Aa),Ba))
=> hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,A_1),B_2)) ) ) )
=> hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,Ax),Ay)) ) ) ) ).
fof(fact_772_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Ax),Ay)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Bx),By))),transi910771962on_val(R_1)))
=> ( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,Bx),By))
=> ( ! [A_1,B_2,Aa,Ba] :
( hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),B_2)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Aa),Ba))),R_1))
=> ( hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Aa),Ba)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Bx),By))),transi910771962on_val(R_1)))
=> ( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,Aa),Ba))
=> hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,A_1),B_2)) ) ) )
=> hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,Ax),Ay)) ) ) ) ).
fof(fact_773_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Ax),Ay)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Bx),By))),transi374442731on_val(R_1)))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,Ax),Ay))
=> ( ! [A_1,B_2,Aa,Ba] :
( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Ax),Ay)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_1),B_2))),transi374442731on_val(R_1)))
=> ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_1),B_2)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Aa),Ba))),R_1))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,A_1),B_2))
=> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,Aa),Ba)) ) ) )
=> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,Bx),By)) ) ) ) ).
fof(fact_774_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ax),Ay)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Bx),By))),transi2024712006on_val(R_1)))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,Ax),Ay))
=> ( ! [A_1,B_2,Aa,Ba] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ax),Ay)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_1),B_2))),transi2024712006on_val(R_1)))
=> ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_1),B_2)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Aa),Ba))),R_1))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,A_1),B_2))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,Aa),Ba)) ) ) )
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,Bx),By)) ) ) ) ).
fof(fact_775_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Ax),Ay)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Bx),By))),transi198989188t_char(R_1)))
=> ( hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(Pa,Ax),Ay))
=> ( ! [A_1,B_2,Aa,Ba] :
( hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Ax),Ay)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_1),B_2))),transi198989188t_char(R_1)))
=> ( hBOOL(hAPP_f595031537l_bool(hAPP_P1862681481l_bool(member1999287380t_char,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_1),B_2)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Aa),Ba))),R_1))
=> ( hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(Pa,A_1),B_2))
=> hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(Pa,Aa),Ba)) ) ) )
=> hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(Pa,Bx),By)) ) ) ) ).
fof(fact_776_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Ax),Ay)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Bx),By))),transi772168185t_char(R_1)))
=> ( hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(Pa,Ax),Ay))
=> ( ! [A_1,B_2,Aa,Ba] :
( hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Ax),Ay)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_1),B_2))),transi772168185t_char(R_1)))
=> ( hBOOL(hAPP_f126445617l_bool(hAPP_P1313790473l_bool(member1551446420t_char,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_1),B_2)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Aa),Ba))),R_1))
=> ( hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(Pa,A_1),B_2))
=> hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(Pa,Aa),Ba)) ) ) )
=> hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(Pa,Bx),By)) ) ) ) ).
fof(fact_777_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Ax),Ay)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Bx),By))),transi2005320128t_char(R_1)))
=> ( hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(Pa,Ax),Ay))
=> ( ! [A_1,B_2,Aa,Ba] :
( hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Ax),Ay)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_1),B_2))),transi2005320128t_char(R_1)))
=> ( hBOOL(hAPP_f272179441l_bool(hAPP_P396425609l_bool(member1607118676t_char,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_1),B_2)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Aa),Ba))),R_1))
=> ( hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(Pa,A_1),B_2))
=> hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(Pa,Aa),Ba)) ) ) )
=> hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(Pa,Bx),By)) ) ) ) ).
fof(fact_778_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Ax),Ay)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Bx),By))),transi1123801095t_char(R_1)))
=> ( hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(Pa,Ax),Ay))
=> ( ! [A_1,B_2,Aa,Ba] :
( hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Ax),Ay)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),B_2))),transi1123801095t_char(R_1)))
=> ( hBOOL(hAPP_f538118321l_bool(hAPP_P1390376713l_bool(member162552852t_char,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),B_2)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Aa),Ba))),R_1))
=> ( hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(Pa,A_1),B_2))
=> hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(Pa,Aa),Ba)) ) ) )
=> hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(Pa,Bx),By)) ) ) ) ).
fof(fact_779_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Ax),Ay)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Bx),By))),transi1789604888t_char(R_1)))
=> ( hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(Pa,Ax),Ay))
=> ( ! [A_1,B_2,Aa,Ba] :
( hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Ax),Ay)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_1),B_2))),transi1789604888t_char(R_1)))
=> ( hBOOL(hAPP_f1145574243l_bool(hAPP_P2139822957l_bool(member1161907014t_char,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_1),B_2)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Aa),Ba))),R_1))
=> ( hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(Pa,A_1),B_2))
=> hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(Pa,Aa),Ba)) ) ) )
=> hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(Pa,Bx),By)) ) ) ) ).
fof(fact_780_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Ax),Ay)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Bx),By))),transi1257872013t_char(R_1)))
=> ( hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(Pa,Ax),Ay))
=> ( ! [A_1,B_2,Aa,Ba] :
( hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Ax),Ay)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_1),B_2))),transi1257872013t_char(R_1)))
=> ( hBOOL(hAPP_f258424141l_bool(hAPP_P409642305l_bool(member125098544t_char,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_1),B_2)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Aa),Ba))),R_1))
=> ( hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(Pa,A_1),B_2))
=> hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(Pa,Aa),Ba)) ) ) )
=> hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(Pa,Bx),By)) ) ) ) ).
fof(fact_781_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Ax),Ay)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Bx),By))),transi122195895t_char(R_1)))
=> ( hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(Pa,Ax),Ay))
=> ( ! [A_1,B_2,Aa,Ba] :
( hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Ax),Ay)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),B_2))),transi122195895t_char(R_1)))
=> ( hBOOL(hAPP_f528956081l_bool(hAPP_P325013257l_bool(member1420286996t_char,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),B_2)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Aa),Ba))),R_1))
=> ( hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(Pa,A_1),B_2))
=> hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(Pa,Aa),Ba)) ) ) )
=> hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(Pa,Bx),By)) ) ) ) ).
fof(fact_782_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Ax),Ay)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Bx),By))),transi208336786on_val(R_1)))
=> ( hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,Ax),Ay))
=> ( ! [A_1,B_2,Aa,Ba] :
( hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Ax),Ay)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),B_2))),transi208336786on_val(R_1)))
=> ( hBOOL(hAPP_f1980787287l_bool(hAPP_P274544981l_bool(member88670778on_val,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),B_2)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Aa),Ba))),R_1))
=> ( hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,A_1),B_2))
=> hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,Aa),Ba)) ) ) )
=> hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,Bx),By)) ) ) ) ).
fof(fact_783_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Ax),Ay)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Bx),By))),transi1423755450al_val(R_1)))
=> ( hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(Pa,Ax),Ay))
=> ( ! [A_1,B_2,Aa,Ba] :
( hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Ax),Ay)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),B_2))),transi1423755450al_val(R_1)))
=> ( hBOOL(hAPP_f2129782055l_bool(hAPP_P124661l_bool(member837208074al_val,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),B_2)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Aa),Ba))),R_1))
=> ( hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(Pa,A_1),B_2))
=> hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(Pa,Aa),Ba)) ) ) )
=> hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(Pa,Bx),By)) ) ) ) ).
fof(fact_784_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Ax),Ay)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Bx),By))),transi1906258203al_val(R_1)))
=> ( hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(Pa,Ax),Ay))
=> ( ! [A_1,B_2,Aa,Ba] :
( ( is_bop(A_1)
& is_bop(Aa) )
=> ( hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Ax),Ay)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_1),B_2))),transi1906258203al_val(R_1)))
=> ( hBOOL(hAPP_f126136681l_bool(hAPP_P982127993l_bool(member1732271180al_val,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_1),B_2)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Aa),Ba))),R_1))
=> ( hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(Pa,A_1),B_2))
=> hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(Pa,Aa),Ba)) ) ) ) )
=> hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(Pa,Bx),By)) ) ) ) ).
fof(fact_785_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Ax),Ay)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Bx),By))),transi1095029602t_char(R_1)))
=> ( hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(Pa,Ax),Ay))
=> ( ! [A_1,B_2,Aa,Ba] :
( hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Ax),Ay)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),B_2))),transi1095029602t_char(R_1)))
=> ( hBOOL(hAPP_f851858423l_bool(hAPP_P786771093l_bool(member794220506t_char,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),B_2)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Aa),Ba))),R_1))
=> ( hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(Pa,A_1),B_2))
=> hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(Pa,Aa),Ba)) ) ) )
=> hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(Pa,Bx),By)) ) ) ) ).
fof(fact_786_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Ax),Ay)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Bx),By))),transi61620055on_val(R_1)))
=> ( hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(Pa,Ax),Ay))
=> ( ! [A_1,B_2,Aa,Ba] :
( hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Ax),Ay)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_1),B_2))),transi61620055on_val(R_1)))
=> ( hBOOL(hAPP_f665343921l_bool(hAPP_P502294281l_bool(member1322055188on_val,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_1),B_2)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Aa),Ba))),R_1))
=> ( hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(Pa,A_1),B_2))
=> hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(Pa,Aa),Ba)) ) ) )
=> hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(Pa,Bx),By)) ) ) ) ).
fof(fact_787_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ax),Ay)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Bx),By))),transi921647814on_val(R_1)))
=> ( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,Ax),Ay))
=> ( ! [A_1,B_2,Aa,Ba] :
( hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ax),Ay)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_1),B_2))),transi921647814on_val(R_1)))
=> ( hBOOL(hAPP_f1297673713l_bool(hAPP_P240409993l_bool(member563141460on_val,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_1),B_2)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Aa),Ba))),R_1))
=> ( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,A_1),B_2))
=> hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,Aa),Ba)) ) ) )
=> hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,Bx),By)) ) ) ) ).
fof(fact_788_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Ax),Ay)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Bx),By))),transi910771962on_val(R_1)))
=> ( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,Ax),Ay))
=> ( ! [A_1,B_2,Aa,Ba] :
( hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Ax),Ay)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),B_2))),transi910771962on_val(R_1)))
=> ( hBOOL(hAPP_f1261741735l_bool(hAPP_P1362631157l_bool(member808015754on_val,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),B_2)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Aa),Ba))),R_1))
=> ( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,A_1),B_2))
=> hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,Aa),Ba)) ) ) )
=> hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,Bx),By)) ) ) ) ).
fof(fact_789_progress,axiom,
! [Lb,Ea,Eb,Ta,Hb,Pa] :
( hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa))
=> ( hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(Pa),Hb))
=> ( hBOOL(wTrt_1(Pa,Hb,Ea,Eb,Ta))
=> ( hBOOL(d_list_char(Eb,hAPP_f363827556r_bool(some_f80346385r_bool,dom_list_char_val(Lb))))
=> ( ~ hBOOL(final_list_char(Eb))
=> ? [E_1,S_5] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_1),S_5))),red(Pa))) ) ) ) ) ) ).
fof(fact_790_option_Oexhaust,axiom,
! [Y_3] :
( Y_3 != none_nat
=> ~ ! [A_1] : Y_3 != hAPP_nat_option_nat(some_nat,A_1) ) ).
fof(fact_791_option_Oexhaust,axiom,
! [Y_3] :
( Y_3 != none_ty
=> ~ ! [A_1] : Y_3 != hAPP_ty_option_ty(some_ty,A_1) ) ).
fof(fact_792_option_Oexhaust,axiom,
! [Y_2] :
( Y_2 != none_P179726773on_val
=> ~ ! [A_1] : Y_2 != hAPP_P1510515380on_val(some_P948696889on_val,A_1) ) ).
fof(fact_793_option_Oexhaust,axiom,
! [Y_3] :
( Y_3 != none_val
=> ~ ! [A_1] : Y_3 != hAPP_val_option_val(some_val,A_1) ) ).
fof(fact_794_option_Oexhaust,axiom,
! [Y_2] :
( Y_2 != none_f478147469r_bool
=> ~ ! [A_1] : Y_2 != hAPP_f363827556r_bool(some_f80346385r_bool,A_1) ) ).
fof(fact_795_order__refl,axiom,
! [X_2] : hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(X_2),X_2)) ).
fof(fact_796_rtrancl__induct,axiom,
! [Pa,A,B,R_1] :
( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B)),transi374442731on_val(R_1)))
=> ( hBOOL(hAPP_P71593144l_bool(Pa,A))
=> ( ! [Y_1,Z] :
( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),Y_1)),transi374442731on_val(R_1)))
=> ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Y_1),Z)),R_1))
=> ( hBOOL(hAPP_P71593144l_bool(Pa,Y_1))
=> hBOOL(hAPP_P71593144l_bool(Pa,Z)) ) ) )
=> hBOOL(hAPP_P71593144l_bool(Pa,B)) ) ) ) ).
fof(fact_797_rtrancl__induct,axiom,
! [Pa,A,B,R_1] :
( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B)),transi1395422419t_char(R_1)))
=> ( hBOOL(hAPP_list_char_bool(Pa,A))
=> ( ! [Y_1,Z] :
( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),Y_1)),transi1395422419t_char(R_1)))
=> ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Y_1),Z)),R_1))
=> ( hBOOL(hAPP_list_char_bool(Pa,Y_1))
=> hBOOL(hAPP_list_char_bool(Pa,Z)) ) ) )
=> hBOOL(hAPP_list_char_bool(Pa,B)) ) ) ) ).
fof(fact_798_rtrancl__induct,axiom,
! [Pa,A,B,R_1] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B)),transi2024712006on_val(R_1)))
=> ( hBOOL(hAPP_P1708370145l_bool(Pa,A))
=> ( ! [Y_1,Z] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),Y_1)),transi2024712006on_val(R_1)))
=> ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Y_1),Z)),R_1))
=> ( hBOOL(hAPP_P1708370145l_bool(Pa,Y_1))
=> hBOOL(hAPP_P1708370145l_bool(Pa,Z)) ) ) )
=> hBOOL(hAPP_P1708370145l_bool(Pa,B)) ) ) ) ).
fof(fact_799_rtrancl__induct,axiom,
! [Pa,A,B,R_1] :
( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),B)),transi935034983cl_val(R_1)))
=> ( hBOOL(hAPP_val_bool(Pa,A))
=> ( ! [Y_1,Z] :
( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),Y_1)),transi935034983cl_val(R_1)))
=> ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Y_1),Z)),R_1))
=> ( hBOOL(hAPP_val_bool(Pa,Y_1))
=> hBOOL(hAPP_val_bool(Pa,Z)) ) ) )
=> hBOOL(hAPP_val_bool(Pa,B)) ) ) ) ).
fof(fact_800_pred__subset__eq2,axiom,
! [R_2,S_4] :
( hBOOL(hAPP_f1931964053l_bool(ord_le2008677227r_bool(hAPP_f1209019955r_bool(hAPP_f521496323r_bool(cOMBC_654453230r_bool,hAPP_f732843907r_bool(hAPP_f1563448447r_bool(cOMBB_1490692730t_char,cOMBC_390659185l_bool),hAPP_f1868463117l_bool(hAPP_f1365840271l_bool(cOMBB_1705938036t_char,hAPP_f1937828171l_bool(cOMBB_1681501894t_char,member1601084734t_char)),produc1331140167t_char))),R_2)),hAPP_f1209019955r_bool(hAPP_f521496323r_bool(cOMBC_654453230r_bool,hAPP_f732843907r_bool(hAPP_f1563448447r_bool(cOMBB_1490692730t_char,cOMBC_390659185l_bool),hAPP_f1868463117l_bool(hAPP_f1365840271l_bool(cOMBB_1705938036t_char,hAPP_f1937828171l_bool(cOMBB_1681501894t_char,member1601084734t_char)),produc1331140167t_char))),S_4)))
<=> hBOOL(hAPP_f483496539l_bool(ord_le1987888477r_bool(R_2),S_4)) ) ).
fof(fact_801_pred__subset__eq2,axiom,
! [R_2,S_4] :
( hBOOL(hAPP_f1795246582l_bool(ord_le735260024r_bool(hAPP_f2025561243r_bool(hAPP_f1500560577r_bool(cOMBC_1784597444r_bool,hAPP_f29105311r_bool(hAPP_f953097879r_bool(cOMBB_672864638t_char,cOMBC_1338332465l_bool),hAPP_f333583909l_bool(hAPP_f1407048615l_bool(cOMBB_741416308t_char,hAPP_f937861397l_bool(cOMBB_1520154591t_char,member1467889965t_char)),produc822965838t_char))),R_2)),hAPP_f2025561243r_bool(hAPP_f1500560577r_bool(cOMBC_1784597444r_bool,hAPP_f29105311r_bool(hAPP_f953097879r_bool(cOMBB_672864638t_char,cOMBC_1338332465l_bool),hAPP_f333583909l_bool(hAPP_f1407048615l_bool(cOMBB_741416308t_char,hAPP_f937861397l_bool(cOMBB_1520154591t_char,member1467889965t_char)),produc822965838t_char))),S_4)))
<=> hBOOL(hAPP_f515912112l_bool(ord_le117566470r_bool(R_2),S_4)) ) ).
fof(fact_802_pred__subset__eq2,axiom,
! [R_2,S_4] :
( hBOOL(hAPP_f861853459l_bool(ord_le1270183657l_bool(hAPP_f447422815l_bool(hAPP_f2052909183l_bool(cOMBC_766524526l_bool,hAPP_f1427871743l_bool(hAPP_f32926423l_bool(cOMBB_779086262on_val,cOMBC_1491642377l_bool),hAPP_f1082373989l_bool(hAPP_f869803751l_bool(cOMBB_555068556on_val,hAPP_f810261999l_bool(cOMBB_1034324152on_val,member875476972on_val)),produc1611380469on_val))),R_2)),hAPP_f447422815l_bool(hAPP_f2052909183l_bool(cOMBC_766524526l_bool,hAPP_f1427871743l_bool(hAPP_f32926423l_bool(cOMBB_779086262on_val,cOMBC_1491642377l_bool),hAPP_f1082373989l_bool(hAPP_f869803751l_bool(cOMBB_555068556on_val,hAPP_f810261999l_bool(cOMBB_1034324152on_val,member875476972on_val)),produc1611380469on_val))),S_4)))
<=> hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(R_2),S_4)) ) ).
fof(fact_803_pred__subset__eq2,axiom,
! [R_2,S_4] :
( hBOOL(hAPP_f1776419603l_bool(ord_le1871967977r_bool(hAPP_f344506159r_bool(hAPP_f447563647r_bool(cOMBC_389248878r_bool,hAPP_f1032444159r_bool(hAPP_f254182519r_bool(cOMBB_1551681790t_char,cOMBC_1603044337l_bool),hAPP_f1764180741l_bool(hAPP_f247798919l_bool(cOMBB_526805108t_char,hAPP_f144783951l_bool(cOMBB_1586673472t_char,member1251428284t_char)),produc5062597t_char))),R_2)),hAPP_f344506159r_bool(hAPP_f447563647r_bool(cOMBC_389248878r_bool,hAPP_f1032444159r_bool(hAPP_f254182519r_bool(cOMBB_1551681790t_char,cOMBC_1603044337l_bool),hAPP_f1764180741l_bool(hAPP_f247798919l_bool(cOMBB_526805108t_char,hAPP_f144783951l_bool(cOMBB_1586673472t_char,member1251428284t_char)),produc5062597t_char))),S_4)))
<=> hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(R_2),S_4)) ) ).
fof(fact_804_pred__subset__eq2,axiom,
! [R_2,S_4] :
( hBOOL(hAPP_f434955681l_bool(ord_le1050317687l_bool(hAPP_f1200025813l_bool(hAPP_f1089788553l_bool(cOMBC_967917532l_bool,hAPP_f2095325577l_bool(hAPP_f1135930489l_bool(cOMBB_1223415373on_val,cOMBC_1608987946l_bool),hAPP_f1204100177l_bool(hAPP_f2026692601l_bool(cOMBB_1977588741on_val,hAPP_f1510763001l_bool(cOMBB_565412073on_val,member773094996on_val)),produc1441475159on_val))),R_2)),hAPP_f1200025813l_bool(hAPP_f1089788553l_bool(cOMBC_967917532l_bool,hAPP_f2095325577l_bool(hAPP_f1135930489l_bool(cOMBB_1223415373on_val,cOMBC_1608987946l_bool),hAPP_f1204100177l_bool(hAPP_f2026692601l_bool(cOMBB_1977588741on_val,hAPP_f1510763001l_bool(cOMBB_565412073on_val,member773094996on_val)),produc1441475159on_val))),S_4)))
<=> hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(R_2),S_4)) ) ).
fof(fact_805_pred__subset__eq2,axiom,
! [R_2,S_4] :
( hBOOL(hAPP_f539072365l_bool(ord_le176694639r_bool(hAPP_f2091926485r_bool(hAPP_f1820115955r_bool(cOMBC_790582442r_bool,hAPP_f2059406941r_bool(hAPP_f108089737r_bool(cOMBB_2143526097t_char,cOMBC_220519196l_bool),hAPP_f165071409l_bool(hAPP_f1174637065l_bool(cOMBB_33167485t_char,hAPP_f380623487l_bool(cOMBB_1033145403t_char,member1840112042t_char)),produc1147572817t_char))),R_2)),hAPP_f2091926485r_bool(hAPP_f1820115955r_bool(cOMBC_790582442r_bool,hAPP_f2059406941r_bool(hAPP_f108089737r_bool(cOMBB_2143526097t_char,cOMBC_220519196l_bool),hAPP_f165071409l_bool(hAPP_f1174637065l_bool(cOMBB_33167485t_char,hAPP_f380623487l_bool(cOMBB_1033145403t_char,member1840112042t_char)),produc1147572817t_char))),S_4)))
<=> hBOOL(hAPP_f82569901l_bool(ord_le715555971r_bool(R_2),S_4)) ) ).
fof(fact_806_pred__subset__eq2,axiom,
! [R_2,S_4] :
( hBOOL(hAPP_f1409772418l_bool(ord_le458107652r_bool(hAPP_f306469557r_bool(hAPP_f197435839r_bool(cOMBC_886773442r_bool,hAPP_f1749915625r_bool(hAPP_f842743203r_bool(cOMBB_657296617har_ty,cOMBC_1407716098l_bool),hAPP_f935003377l_bool(hAPP_f162154931l_bool(cOMBB_859890145har_ty,hAPP_f1847120981l_bool(cOMBB_1035649854t_char,member1379348767t_char)),produc1152259904t_char))),R_2)),hAPP_f306469557r_bool(hAPP_f197435839r_bool(cOMBC_886773442r_bool,hAPP_f1749915625r_bool(hAPP_f842743203r_bool(cOMBB_657296617har_ty,cOMBC_1407716098l_bool),hAPP_f935003377l_bool(hAPP_f162154931l_bool(cOMBB_859890145har_ty,hAPP_f1847120981l_bool(cOMBB_1035649854t_char,member1379348767t_char)),produc1152259904t_char))),S_4)))
<=> hBOOL(hAPP_f1161798306l_bool(ord_le1734858744r_bool(R_2),S_4)) ) ).
fof(fact_807_pred__subset__eq2,axiom,
! [R_2,S_4] :
( hBOOL(hAPP_f1520735791l_bool(ord_le1151384881r_bool(hAPP_f719350875r_bool(hAPP_f2133563379r_bool(cOMBC_1025440566r_bool,hAPP_f1957374161r_bool(hAPP_f304993943r_bool(cOMBB_847828016t_char,cOMBC_516637475l_bool),hAPP_f1817350437l_bool(hAPP_f614662951l_bool(cOMBB_1558246132t_char,hAPP_f251669717l_bool(cOMBB_773661144t_char,member1771544038t_char)),produc1483578759t_char))),R_2)),hAPP_f719350875r_bool(hAPP_f2133563379r_bool(cOMBC_1025440566r_bool,hAPP_f1957374161r_bool(hAPP_f304993943r_bool(cOMBB_847828016t_char,cOMBC_516637475l_bool),hAPP_f1817350437l_bool(hAPP_f614662951l_bool(cOMBB_1558246132t_char,hAPP_f251669717l_bool(cOMBB_773661144t_char,member1771544038t_char)),produc1483578759t_char))),S_4)))
<=> hBOOL(hAPP_f2050077417l_bool(ord_le725666495r_bool(R_2),S_4)) ) ).
fof(fact_808_pred__subset__eq2,axiom,
! [R_2,S_4] :
( hBOOL(hAPP_f1118567467l_bool(ord_le989574145r_bool(hAPP_f1051205629r_bool(hAPP_f987862447r_bool(cOMBC_1387630958r_bool,hAPP_f1449341487r_bool(hAPP_f1823921107r_bool(cOMBB_308691073st_val,cOMBC_818212448l_bool),hAPP_f2118054305l_bool(hAPP_f1687138147l_bool(cOMBB_2078271971st_val,hAPP_f1612138403l_bool(cOMBB_961360819t_char,member699351154t_char)),produc1916172923t_char))),R_2)),hAPP_f1051205629r_bool(hAPP_f987862447r_bool(cOMBC_1387630958r_bool,hAPP_f1449341487r_bool(hAPP_f1823921107r_bool(cOMBB_308691073st_val,cOMBC_818212448l_bool),hAPP_f2118054305l_bool(hAPP_f1687138147l_bool(cOMBB_2078271971st_val,hAPP_f1612138403l_bool(cOMBB_961360819t_char,member699351154t_char)),produc1916172923t_char))),S_4)))
<=> hBOOL(hAPP_f1314764175l_bool(ord_le1852058257r_bool(R_2),S_4)) ) ).
fof(fact_809_pred__subset__eq2,axiom,
! [R_2,S_4] :
( hBOOL(hAPP_f1889282162l_bool(ord_le1449176264r_bool(hAPP_f2071340985r_bool(hAPP_f133320957r_bool(cOMBC_1127703214r_bool,hAPP_f1608277885r_bool(hAPP_f1134248971r_bool(cOMBB_338473166ist_ty,cOMBC_1365742487l_bool),hAPP_f2047757465l_bool(hAPP_f466945179l_bool(cOMBB_68065882ist_ty,hAPP_f693085049l_bool(cOMBB_147773915t_char,member140606439t_char)),produc1909267824t_char))),R_2)),hAPP_f2071340985r_bool(hAPP_f133320957r_bool(cOMBC_1127703214r_bool,hAPP_f1608277885r_bool(hAPP_f1134248971r_bool(cOMBB_338473166ist_ty,cOMBC_1365742487l_bool),hAPP_f2047757465l_bool(hAPP_f466945179l_bool(cOMBB_68065882ist_ty,hAPP_f693085049l_bool(cOMBB_147773915t_char,member140606439t_char)),produc1909267824t_char))),S_4)))
<=> hBOOL(hAPP_f1746574980l_bool(ord_le1218729222r_bool(R_2),S_4)) ) ).
fof(fact_810_pred__subset__eq2,axiom,
! [R_2,S_4] :
( hBOOL(hAPP_f998390560l_bool(ord_le817953186r_bool(hAPP_f1044627221r_bool(hAPP_f308875635r_bool(cOMBC_1718404842r_bool,hAPP_f531187933r_bool(hAPP_f179418505r_bool(cOMBB_550632017t_char,cOMBC_407285762l_bool),hAPP_f1136362289l_bool(hAPP_f1736484361l_bool(cOMBB_2042763133t_char,hAPP_f1715733055l_bool(cOMBB_123628846t_char,member133545693t_char)),produc921874948t_char))),R_2)),hAPP_f1044627221r_bool(hAPP_f308875635r_bool(cOMBC_1718404842r_bool,hAPP_f531187933r_bool(hAPP_f179418505r_bool(cOMBB_550632017t_char,cOMBC_407285762l_bool),hAPP_f1136362289l_bool(hAPP_f1736484361l_bool(cOMBB_2042763133t_char,hAPP_f1715733055l_bool(cOMBB_123628846t_char,member133545693t_char)),produc921874948t_char))),S_4)))
<=> hBOOL(hAPP_f1780084320l_bool(ord_le1579844278r_bool(R_2),S_4)) ) ).
fof(fact_811_pred__subset__eq2,axiom,
! [R_2,S_4] :
( hBOOL(hAPP_f2041029616l_bool(ord_le285175110l_bool(hAPP_f844901525l_bool(hAPP_f348508809l_bool(cOMBC_622308798l_bool,hAPP_f1149562121l_bool(hAPP_f1850037271l_bool(cOMBB_773375802t_char,cOMBC_2141828763l_bool),hAPP_f1752856401l_bool(hAPP_f552300311l_bool(cOMBB_1270208498t_char,hAPP_f1564338425l_bool(cOMBB_1078680455on_val,member1972431429on_val)),produc379668296on_val))),R_2)),hAPP_f844901525l_bool(hAPP_f348508809l_bool(cOMBC_622308798l_bool,hAPP_f1149562121l_bool(hAPP_f1850037271l_bool(cOMBB_773375802t_char,cOMBC_2141828763l_bool),hAPP_f1752856401l_bool(hAPP_f552300311l_bool(cOMBB_1270208498t_char,hAPP_f1564338425l_bool(cOMBB_1078680455on_val,member1972431429on_val)),produc379668296on_val))),S_4)))
<=> hBOOL(hAPP_f837795298l_bool(ord_le1461833060l_bool(R_2),S_4)) ) ).
fof(fact_812_pred__subset__eq2,axiom,
! [R_2,S_4] :
( hBOOL(hAPP_f2071159779l_bool(ord_le408082617l_bool(hAPP_f198821591l_bool(hAPP_f1880802701l_bool(cOMBC_1979963740l_bool,hAPP_f1859053709l_bool(hAPP_f400269243l_bool(cOMBB_1701031980ol_val,cOMBC_331963401l_bool),hAPP_f293485653l_bool(hAPP_f565735867l_bool(cOMBB_815843940ol_val,hAPP_f183649339l_bool(cOMBB_2078984970ol_val,member649088532al_val)),product_Pair_val_val))),R_2)),hAPP_f198821591l_bool(hAPP_f1880802701l_bool(cOMBC_1979963740l_bool,hAPP_f1859053709l_bool(hAPP_f400269243l_bool(cOMBB_1701031980ol_val,cOMBC_331963401l_bool),hAPP_f293485653l_bool(hAPP_f565735867l_bool(cOMBB_815843940ol_val,hAPP_f183649339l_bool(cOMBB_2078984970ol_val,member649088532al_val)),product_Pair_val_val))),S_4)))
<=> hBOOL(hAPP_f2028441009l_bool(ord_le310098611l_bool(R_2),S_4)) ) ).
fof(fact_813_pred__subset__eq2,axiom,
! [R_2,S_4] :
( hBOOL(hAPP_f1776070952l_bool(ord_le1725884030l_bool(hAPP_f257113085l_bool(hAPP_f1100052969l_bool(cOMBC_199425070l_bool,hAPP_f2100207721l_bool(hAPP_f1374595987l_bool(cOMBB_761748254ol_bop,cOMBC_813705475l_bool),hAPP_f866074145l_bool(hAPP_f877616419l_bool(cOMBB_1458388806ol_bop,hAPP_f62511709l_bool(cOMBB_2139740953al_val,member1417904245al_val)),produc621191550al_val))),R_2)),hAPP_f257113085l_bool(hAPP_f1100052969l_bool(cOMBC_199425070l_bool,hAPP_f2100207721l_bool(hAPP_f1374595987l_bool(cOMBB_761748254ol_bop,cOMBC_813705475l_bool),hAPP_f866074145l_bool(hAPP_f877616419l_bool(cOMBB_1458388806ol_bop,hAPP_f62511709l_bool(cOMBB_2139740953al_val,member1417904245al_val)),produc621191550al_val))),S_4)))
<=> hBOOL(hAPP_f742333458l_bool(ord_le1467847572l_bool(R_2),S_4)) ) ).
fof(fact_814_pred__subset__eq2,axiom,
! [R_2,S_4] :
( hBOOL(hAPP_f678833350l_bool(ord_le188521288l_bool(hAPP_f2080627739l_bool(hAPP_f350189921l_bool(cOMBC_1535683812l_bool,hAPP_f1094343359l_bool(hAPP_f876671127l_bool(cOMBB_1200577438t_char,cOMBC_317789649l_bool),hAPP_f1370205989l_bool(hAPP_f1406462375l_bool(cOMBB_109816436t_char,hAPP_f919000597l_bool(cOMBB_1153773871on_val,member1542417277on_val)),produc823076510on_val))),R_2)),hAPP_f2080627739l_bool(hAPP_f350189921l_bool(cOMBC_1535683812l_bool,hAPP_f1094343359l_bool(hAPP_f876671127l_bool(cOMBB_1200577438t_char,cOMBC_317789649l_bool),hAPP_f1370205989l_bool(hAPP_f1406462375l_bool(cOMBB_109816436t_char,hAPP_f919000597l_bool(cOMBB_1153773871on_val,member1542417277on_val)),produc823076510on_val))),S_4)))
<=> hBOOL(hAPP_f1134950784l_bool(ord_le1744419030l_bool(R_2),S_4)) ) ).
fof(fact_815_pred__subset__eq2,axiom,
! [R_2,S_4] :
( hBOOL(hAPP_f1450446905l_bool(ord_le125655867l_bool(hAPP_f47713631l_bool(hAPP_f77033475l_bool(cOMBC_1317565126l_bool,hAPP_f1250221913l_bool(hAPP_f1860331535l_bool(cOMBB_2084052674on_val,cOMBC_1518234801l_bool),hAPP_f1670595613l_bool(hAPP_f1472899487l_bool(cOMBB_588525814on_val,hAPP_f1168269397l_bool(cOMBB_1293776864on_val,member763590124on_val)),produc899768717on_val))),R_2)),hAPP_f47713631l_bool(hAPP_f77033475l_bool(cOMBC_1317565126l_bool,hAPP_f1250221913l_bool(hAPP_f1860331535l_bool(cOMBB_2084052674on_val,cOMBC_1518234801l_bool),hAPP_f1670595613l_bool(hAPP_f1472899487l_bool(cOMBB_588525814on_val,hAPP_f1168269397l_bool(cOMBB_1293776864on_val,member763590124on_val)),produc899768717on_val))),S_4)))
<=> hBOOL(hAPP_f966411375l_bool(ord_le1908998213l_bool(R_2),S_4)) ) ).
fof(fact_816_pred__subset__eq2,axiom,
! [R_2,S_4] :
( hBOOL(hAPP_f570766339l_bool(ord_le1080391173l_bool(hAPP_f989077673l_bool(hAPP_f40682957l_bool(cOMBC_562612496l_bool,hAPP_f1475571983l_bool(hAPP_f1946480059l_bool(cOMBB_673739729t_char,cOMBC_1585774710l_bool),hAPP_f1614195593l_bool(hAPP_f705562443l_bool(cOMBB_507006011t_char,hAPP_f1639555093l_bool(cOMBB_985659173on_val,member840932460on_val)),produc1259058957on_val))),R_2)),hAPP_f989077673l_bool(hAPP_f40682957l_bool(cOMBC_562612496l_bool,hAPP_f1475571983l_bool(hAPP_f1946480059l_bool(cOMBB_673739729t_char,cOMBC_1585774710l_bool),hAPP_f1614195593l_bool(hAPP_f705562443l_bool(cOMBB_507006011t_char,hAPP_f1639555093l_bool(cOMBB_985659173on_val,member840932460on_val)),produc1259058957on_val))),S_4)))
<=> hBOOL(hAPP_f91506671l_bool(ord_le1668954565l_bool(R_2),S_4)) ) ).
fof(fact_817_xt1_I6_J,axiom,
! [Z_1,Y_2,X_2] :
( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(Y_2),X_2))
=> ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(Z_1),Y_2))
=> hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(Z_1),X_2)) ) ) ).
fof(fact_818_xt1_I5_J,axiom,
! [Y_2,X_2] :
( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(Y_2),X_2))
=> ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(X_2),Y_2))
=> X_2 = Y_2 ) ) ).
fof(fact_819_order__trans,axiom,
! [Z_1,X_2,Y_2] :
( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(X_2),Y_2))
=> ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(Y_2),Z_1))
=> hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(X_2),Z_1)) ) ) ).
fof(fact_820_order__antisym,axiom,
! [X_2,Y_2] :
( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(X_2),Y_2))
=> ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(Y_2),X_2))
=> X_2 = Y_2 ) ) ).
fof(fact_821_xt1_I4_J,axiom,
! [C_2,B,A] :
( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(B),A))
=> ( B = C_2
=> hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(C_2),A)) ) ) ).
fof(fact_822_ord__le__eq__trans,axiom,
! [C_2,A,B] :
( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(A),B))
=> ( B = C_2
=> hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(A),C_2)) ) ) ).
fof(fact_823_xt1_I3_J,axiom,
! [C_2,A,B] :
( A = B
=> ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(C_2),B))
=> hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(C_2),A)) ) ) ).
fof(fact_824_ord__eq__le__trans,axiom,
! [C_2,A,B] :
( A = B
=> ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(B),C_2))
=> hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(A),C_2)) ) ) ).
fof(fact_825_order__antisym__conv,axiom,
! [Y_2,X_2] :
( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(Y_2),X_2))
=> ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(X_2),Y_2))
<=> X_2 = Y_2 ) ) ).
fof(fact_826_order__eq__refl,axiom,
! [X_2,Y_2] :
( X_2 = Y_2
=> hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(X_2),Y_2)) ) ).
fof(fact_827_order__eq__iff,axiom,
! [X_2,Y_2] :
( X_2 = Y_2
<=> ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(X_2),Y_2))
& hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(Y_2),X_2)) ) ) ).
fof(fact_828_le__funE,axiom,
! [X_2,F_1,G] :
( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(F_1),G))
=> hBOOL(hAPP_bool_bool(ord_less_eq_bool(hAPP_list_char_bool(F_1,X_2)),hAPP_list_char_bool(G,X_2))) ) ).
fof(fact_829_le__funD,axiom,
! [X_2,F_1,G] :
( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(F_1),G))
=> hBOOL(hAPP_bool_bool(ord_less_eq_bool(hAPP_list_char_bool(F_1,X_2)),hAPP_list_char_bool(G,X_2))) ) ).
fof(fact_830_le__fun__def,axiom,
! [F_1,G] :
( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(F_1),G))
<=> ! [X_1] : hBOOL(hAPP_bool_bool(ord_less_eq_bool(hAPP_list_char_bool(F_1,X_1)),hAPP_list_char_bool(G,X_1))) ) ).
fof(fact_831_wf__prog__wwf__prog,axiom,
! [Pa] :
( hBOOL(wf_pro755087577t_char(wf_J_mdecl,Pa))
=> hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa)) ) ).
fof(fact_832_wf__mdecl__wwf__mdecl,axiom,
! [P,C_3,Md] :
( hBOOL(hAPP_P1384137393r_bool(hAPP_l2054741776r_bool(hAPP_l2138409430r_bool(wf_J_mdecl,P),C_3),Md))
=> hBOOL(hAPP_P1384137393r_bool(hAPP_l2054741776r_bool(hAPP_l2138409430r_bool(wwf_J_mdecl,P),C_3),Md)) ) ).
fof(fact_833_Red__fv,axiom,
! [Eb,Hb,Lb,E_b,H_b,L_b,Pa] :
( hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa))
=> ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))),red(Pa)))
=> hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(fv(E_b)),fv(Eb))) ) ) ).
fof(fact_834_rtranclE,axiom,
! [A,B,R_1] :
( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B)),transi374442731on_val(R_1)))
=> ( A != B
=> ~ ! [Y_1] :
( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),Y_1)),transi374442731on_val(R_1)))
=> ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Y_1),B)),R_1)) ) ) ) ).
fof(fact_835_rtranclE,axiom,
! [A,B,R_1] :
( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B)),transi1395422419t_char(R_1)))
=> ( A != B
=> ~ ! [Y_1] :
( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),Y_1)),transi1395422419t_char(R_1)))
=> ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Y_1),B)),R_1)) ) ) ) ).
fof(fact_836_rtranclE,axiom,
! [A,B,R_1] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B)),transi2024712006on_val(R_1)))
=> ( A != B
=> ~ ! [Y_1] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),Y_1)),transi2024712006on_val(R_1)))
=> ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Y_1),B)),R_1)) ) ) ) ).
fof(fact_837_rtranclE,axiom,
! [A,B,R_1] :
( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),B)),transi935034983cl_val(R_1)))
=> ( A != B
=> ~ ! [Y_1] :
( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),Y_1)),transi935034983cl_val(R_1)))
=> ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Y_1),B)),R_1)) ) ) ) ).
fof(fact_838_converse__rtranclE,axiom,
! [X_2,Z_1,R_1] :
( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,X_2),Z_1)),transi374442731on_val(R_1)))
=> ( X_2 != Z_1
=> ~ ! [Y_1] :
( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,X_2),Y_1)),R_1))
=> ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Y_1),Z_1)),transi374442731on_val(R_1))) ) ) ) ).
fof(fact_839_converse__rtranclE,axiom,
! [X_2,Z_1,R_1] :
( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,X_2),Z_1)),transi1395422419t_char(R_1)))
=> ( X_2 != Z_1
=> ~ ! [Y_1] :
( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,X_2),Y_1)),R_1))
=> ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Y_1),Z_1)),transi1395422419t_char(R_1))) ) ) ) ).
fof(fact_840_converse__rtranclE,axiom,
! [X_2,Z_1,R_1] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X_2),Z_1)),transi2024712006on_val(R_1)))
=> ( X_2 != Z_1
=> ~ ! [Y_1] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X_2),Y_1)),R_1))
=> ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Y_1),Z_1)),transi2024712006on_val(R_1))) ) ) ) ).
fof(fact_841_converse__rtranclE,axiom,
! [X_2,Z_1,R_1] :
( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,X_2),Z_1)),transi935034983cl_val(R_1)))
=> ( X_2 != Z_1
=> ~ ! [Y_1] :
( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,X_2),Y_1)),R_1))
=> ~ hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Y_1),Z_1)),transi935034983cl_val(R_1))) ) ) ) ).
fof(fact_842_converse__rtrancl__induct,axiom,
! [Pa,A,B,R_1] :
( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B)),transi374442731on_val(R_1)))
=> ( hBOOL(hAPP_P71593144l_bool(Pa,B))
=> ( ! [Y_1,Z] :
( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Y_1),Z)),R_1))
=> ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Z),B)),transi374442731on_val(R_1)))
=> ( hBOOL(hAPP_P71593144l_bool(Pa,Z))
=> hBOOL(hAPP_P71593144l_bool(Pa,Y_1)) ) ) )
=> hBOOL(hAPP_P71593144l_bool(Pa,A)) ) ) ) ).
fof(fact_843_converse__rtrancl__induct,axiom,
! [Pa,A,B,R_1] :
( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B)),transi1395422419t_char(R_1)))
=> ( hBOOL(hAPP_list_char_bool(Pa,B))
=> ( ! [Y_1,Z] :
( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Y_1),Z)),R_1))
=> ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Z),B)),transi1395422419t_char(R_1)))
=> ( hBOOL(hAPP_list_char_bool(Pa,Z))
=> hBOOL(hAPP_list_char_bool(Pa,Y_1)) ) ) )
=> hBOOL(hAPP_list_char_bool(Pa,A)) ) ) ) ).
fof(fact_844_converse__rtrancl__induct,axiom,
! [Pa,A,B,R_1] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B)),transi2024712006on_val(R_1)))
=> ( hBOOL(hAPP_P1708370145l_bool(Pa,B))
=> ( ! [Y_1,Z] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Y_1),Z)),R_1))
=> ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Z),B)),transi2024712006on_val(R_1)))
=> ( hBOOL(hAPP_P1708370145l_bool(Pa,Z))
=> hBOOL(hAPP_P1708370145l_bool(Pa,Y_1)) ) ) )
=> hBOOL(hAPP_P1708370145l_bool(Pa,A)) ) ) ) ).
fof(fact_845_converse__rtrancl__induct,axiom,
! [Pa,A,B,R_1] :
( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),B)),transi935034983cl_val(R_1)))
=> ( hBOOL(hAPP_val_bool(Pa,B))
=> ( ! [Y_1,Z] :
( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Y_1),Z)),R_1))
=> ( hBOOL(hAPP_f2028441009l_bool(hAPP_P530382601l_bool(member649088532al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Z),B)),transi935034983cl_val(R_1)))
=> ( hBOOL(hAPP_val_bool(Pa,Z))
=> hBOOL(hAPP_val_bool(Pa,Y_1)) ) ) )
=> hBOOL(hAPP_val_bool(Pa,A)) ) ) ) ).
fof(fact_846_le__funI,axiom,
! [F_1,G] :
( ! [X_1] : hBOOL(hAPP_bool_bool(ord_less_eq_bool(hAPP_list_char_bool(F_1,X_1)),hAPP_list_char_bool(G,X_1)))
=> hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(F_1),G)) ) ).
fof(fact_847_big__iff__small,axiom,
! [Eb,S,E_b,S_2,Pa] :
( hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),E_b),S_2))
<=> ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),transi2024712006on_val(red(Pa))))
& hBOOL(final_list_char(E_b)) ) ) ) ).
fof(fact_848_eval__notfree__unchanged,axiom,
! [Va_1,Pa,Eb,Hb,Lb,E_b,H_b,L_b] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))
=> ( ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,Va_1),fv(Eb)))
=> hAPP_l207779698on_val(L_b,Va_1) = hAPP_l207779698on_val(Lb,Va_1) ) ) ).
fof(fact_849_extend__1__eval,axiom,
! [E_b,S_2,Eb,S,E_5,S_3,Pa] :
( hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa))
=> ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_5),S_3))),red(Pa)))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_5,S_3),E_b),S_2))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),E_b),S_2)) ) ) ) ).
fof(fact_850_big__by__small,axiom,
! [Eb,S,E_b,S_2,Pa] :
( hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),E_b),S_2))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),transi2024712006on_val(red(Pa)))) ) ) ).
fof(fact_851_extend__eval,axiom,
! [E_b,S_2,Eb,S,E_5,S_3,Pa] :
( hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa))
=> ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_5),S_3))),transi2024712006on_val(red(Pa))))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_5,S_3),E_b),S_2))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),E_b),S_2)) ) ) ) ).
fof(fact_852_small__by__big,axiom,
! [Eb,S,E_b,S_2,Pa] :
( hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa))
=> ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),transi2024712006on_val(red(Pa))))
=> ( hBOOL(final_list_char(E_b))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),E_b),S_2)) ) ) ) ).
fof(fact_853_LAss,axiom,
! [L_b,Va_1,Pa,Eb,S_0,Va,Hb,Lb] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,Va)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)))
=> ( L_b = fun_up1149430426on_val(Lb,Va_1,hAPP_val_option_val(some_val,Va))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,lAss_list_char(Va_1,Eb),S_0),hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),L_b))) ) ) ).
fof(fact_854_Block,axiom,
! [Ta,Pa,E_0,H_0,L_0,Va_1,E_1_1,H_1,L_1_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_0,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_0),fun_up1149430426on_val(L_0,Va_1,none_val))),E_1_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1),L_1_1)))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,block_list_char(Va_1,Ta,E_0),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_0),L_0)),E_1_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1),fun_up1149430426on_val(L_1_1,Va_1,hAPP_l207779698on_val(L_0,Va_1))))) ) ).
fof(fact_855_eval__lcl__incr,axiom,
! [Pa,Eb,H_0,L_0,E_b,H_1,L_1_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_0),L_0)),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1),L_1_1)))
=> hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(dom_list_char_val(L_0)),dom_list_char_val(L_1_1))) ) ).
fof(fact_856_eval__hext,axiom,
! [Pa,Eb,Hb,Lb,E_b,H_b,L_b] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))
=> hBOOL(hext(Hb,H_b)) ) ).
fof(fact_857_Seq,axiom,
! [E_1_1,E_2,S_2_1,Pa,E_0,S_0,Va,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_0,S_0),hAPP_v834067052t_char(val_list_char,Va)),S_1))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_1),E_2),S_2_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,seq_list_char(E_0,E_1_1),S_0),E_2),S_2_1)) ) ) ).
fof(fact_858_Reds__dom__lcl,axiom,
! [Eb,Hb,Lb,E_b,H_b,L_b,Pa] :
( hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa))
=> ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))),transi2024712006on_val(red(Pa))))
=> hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(dom_list_char_val(L_b)),semila919158006r_bool(dom_list_char_val(Lb),fv(Eb)))) ) ) ).
fof(fact_859_UnE,axiom,
! [C_2,A_2,B_1] :
( hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,C_2),semila1731249415r_bool(A_2,B_1)))
=> ( ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,C_2),A_2))
=> hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,C_2),B_1)) ) ) ).
fof(fact_860_UnE,axiom,
! [C_2,A_2,B_1] :
( hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,C_2),semila1346223580r_bool(A_2,B_1)))
=> ( ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,C_2),A_2))
=> hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,C_2),B_1)) ) ) ).
fof(fact_861_UnE,axiom,
! [C_2,A_2,B_1] :
( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,C_2),semila449273525l_bool(A_2,B_1)))
=> ( ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,C_2),A_2))
=> hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,C_2),B_1)) ) ) ).
fof(fact_862_UnE,axiom,
! [C_2,A_2,B_1] :
( hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_2),semila465093516t_bool(A_2,B_1)))
=> ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_2),A_2))
=> hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_2),B_1)) ) ) ).
fof(fact_863_UnE,axiom,
! [C_2,A_2,B_1] :
( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,C_2),semila1168318597r_bool(A_2,B_1)))
=> ( ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,C_2),A_2))
=> hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,C_2),B_1)) ) ) ).
fof(fact_864_UnE,axiom,
! [C_2,A_2,B_1] :
( hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,C_2),semila919158006r_bool(A_2,B_1)))
=> ( ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,C_2),A_2))
=> hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,C_2),B_1)) ) ) ).
fof(fact_865_UnE,axiom,
! [C_2,A_2,B_1] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,C_2),semila751111325l_bool(A_2,B_1)))
=> ( ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,C_2),A_2))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,C_2),B_1)) ) ) ).
fof(fact_866_UnCI,axiom,
! [A_2,C_2,B_1] :
( ( ~ hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,C_2),B_1))
=> hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,C_2),A_2)) )
=> hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,C_2),semila1731249415r_bool(A_2,B_1))) ) ).
fof(fact_867_UnCI,axiom,
! [A_2,C_2,B_1] :
( ( ~ hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,C_2),B_1))
=> hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,C_2),A_2)) )
=> hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,C_2),semila1346223580r_bool(A_2,B_1))) ) ).
fof(fact_868_UnCI,axiom,
! [A_2,C_2,B_1] :
( ( ~ hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,C_2),B_1))
=> hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,C_2),A_2)) )
=> hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,C_2),semila449273525l_bool(A_2,B_1))) ) ).
fof(fact_869_UnCI,axiom,
! [A_2,C_2,B_1] :
( ( ~ hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_2),B_1))
=> hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_2),A_2)) )
=> hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C_2),semila465093516t_bool(A_2,B_1))) ) ).
fof(fact_870_UnCI,axiom,
! [A_2,C_2,B_1] :
( ( ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,C_2),B_1))
=> hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,C_2),A_2)) )
=> hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,C_2),semila1168318597r_bool(A_2,B_1))) ) ).
fof(fact_871_UnCI,axiom,
! [A_2,C_2,B_1] :
( ( ~ hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,C_2),B_1))
=> hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,C_2),A_2)) )
=> hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,C_2),semila919158006r_bool(A_2,B_1))) ) ).
fof(fact_872_UnCI,axiom,
! [A_2,C_2,B_1] :
( ( ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,C_2),B_1))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,C_2),A_2)) )
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,C_2),semila751111325l_bool(A_2,B_1))) ) ).
fof(fact_873_sup1E,axiom,
! [A_2,B_1,X_2] :
( hBOOL(hAPP_list_char_bool(semila919158006r_bool(A_2,B_1),X_2))
=> ( ~ hBOOL(hAPP_list_char_bool(A_2,X_2))
=> hBOOL(hAPP_list_char_bool(B_1,X_2)) ) ) ).
fof(fact_874_sup1CI,axiom,
! [A_2,B_1,X_2] :
( ( ~ hBOOL(hAPP_list_char_bool(B_1,X_2))
=> hBOOL(hAPP_list_char_bool(A_2,X_2)) )
=> hBOOL(hAPP_list_char_bool(semila919158006r_bool(A_2,B_1),X_2)) ) ).
fof(fact_875_Un__absorb,axiom,
! [A_2] : semila919158006r_bool(A_2,A_2) = A_2 ).
fof(fact_876_Un__def,axiom,
! [A_2,B_1] : semila1731249415r_bool(A_2,B_1) = collec1387638140t_char(cOMBS_1743887558l_bool(hAPP_f1985672189l_bool(hAPP_f1169733153l_bool(cOMBB_565990871t_char,fdisj),hAPP_f1853572245r_bool(hAPP_f1933376467r_bool(cOMBC_36589090l_bool,member1601084734t_char),A_2)),hAPP_f1853572245r_bool(hAPP_f1933376467r_bool(cOMBC_36589090l_bool,member1601084734t_char),B_1))) ).
fof(fact_877_Un__def,axiom,
! [A_2,B_1] : semila1346223580r_bool(A_2,B_1) = collec1583467887t_char(cOMBS_635570165l_bool(hAPP_f561246575l_bool(hAPP_f321462169l_bool(cOMBB_808210516t_char,fdisj),hAPP_f1666729379r_bool(hAPP_f1020753317r_bool(cOMBC_1297648632l_bool,member1467889965t_char),A_2)),hAPP_f1666729379r_bool(hAPP_f1020753317r_bool(cOMBC_1297648632l_bool,member1467889965t_char),B_1))) ).
fof(fact_878_Un__def,axiom,
! [A_2,B_1] : semila449273525l_bool(A_2,B_1) = collec2087910442on_val(cOMBS_1218320756l_bool(hAPP_f914702973l_bool(hAPP_f1600936353l_bool(cOMBB_1617503877on_val,fdisj),hAPP_f1856968213l_bool(hAPP_f677078775l_bool(cOMBC_475083938l_bool,member875476972on_val),A_2)),hAPP_f1856968213l_bool(hAPP_f677078775l_bool(cOMBC_475083938l_bool,member875476972on_val),B_1))) ).
fof(fact_879_Un__def,axiom,
! [A_2,B_1] : semila465093516t_bool(A_2,B_1) = collect_nat(cOMBS_nat_bool_bool(hAPP_f1146629647l_bool(hAPP_f1080886329l_bool(cOMBB_1015721476ol_nat,fdisj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),A_2)),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),B_1))) ).
fof(fact_880_Un__def,axiom,
! [A_2,B_1] : semila1168318597r_bool(A_2,B_1) = collec1797130234t_char(cOMBS_350755140l_bool(hAPP_f644972157l_bool(hAPP_f722872225l_bool(cOMBB_1643767893t_char,fdisj),hAPP_f112056853r_bool(hAPP_f1876889431r_bool(cOMBC_148995234l_bool,member1251428284t_char),A_2)),hAPP_f112056853r_bool(hAPP_f1876889431r_bool(cOMBC_148995234l_bool,member1251428284t_char),B_1))) ).
fof(fact_881_Un__def,axiom,
! [A_2,B_1] : semila919158006r_bool(A_2,B_1) = collect_list_char(cOMBS_1502238389l_bool(hAPP_f1163760061l_bool(hAPP_f1157863905l_bool(cOMBB_984708934t_char,fdisj),hAPP_f1371002581r_bool(hAPP_f522372661r_bool(cOMBC_892477410l_bool,member_list_char),A_2)),hAPP_f1371002581r_bool(hAPP_f522372661r_bool(cOMBC_892477410l_bool,member_list_char),B_1))) ).
fof(fact_882_Un__def,axiom,
! [A_2,B_1] : semila751111325l_bool(A_2,B_1) = collec718040978on_val(cOMBS_1319864284l_bool(hAPP_f379976829l_bool(hAPP_f606945057l_bool(cOMBB_705522285on_val,fdisj),hAPP_f2036784149l_bool(hAPP_f1720452391l_bool(cOMBC_1021753250l_bool,member773094996on_val),A_2)),hAPP_f2036784149l_bool(hAPP_f1720452391l_bool(cOMBC_1021753250l_bool,member773094996on_val),B_1))) ).
fof(fact_883_Un__commute,axiom,
! [A_2,B_1] : semila919158006r_bool(A_2,B_1) = semila919158006r_bool(B_1,A_2) ).
fof(fact_884_fv__fvs_Osimps_I11_J,axiom,
! [E_1_1,E_2] : fv(seq_list_char(E_1_1,E_2)) = semila919158006r_bool(fv(E_1_1),fv(E_2)) ).
fof(fact_885_eval__cases_I2_J,axiom,
! [Pa,Va,S,E_b,S_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,hAPP_v834067052t_char(val_list_char,Va),S),E_b),S_2))
=> ~ ( E_b = hAPP_v834067052t_char(val_list_char,Va)
=> S_2 != S ) ) ).
fof(fact_886_Val,axiom,
! [Pa,Va,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,hAPP_v834067052t_char(val_list_char,Va),S),hAPP_v834067052t_char(val_list_char,Va)),S)) ).
fof(fact_887_Red__dom__lcl,axiom,
! [Eb,Hb,Lb,E_b,H_b,L_b,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))),red(Pa)))
=> hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(dom_list_char_val(L_b)),semila919158006r_bool(dom_list_char_val(Lb),fv(Eb)))) ) ).
fof(fact_888_eval__final,axiom,
! [Pa,Eb,S,E_b,S_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),E_b),S_2))
=> hBOOL(final_list_char(E_b)) ) ).
fof(fact_889_eval__finalId,axiom,
! [Pa,S,Eb] :
( hBOOL(final_list_char(Eb))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),Eb),S)) ) ).
fof(fact_890_eval__cases_I8_J,axiom,
! [Pa,Va_1,Ta,E_1_1,S,E_b,S_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,block_list_char(Va_1,Ta,E_1_1),S),E_b),S_2))
=> ~ ! [H_0_1,L_0_1] :
( S = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_0_1),L_0_1)
=> ! [H_1_1,L_1_2] :
( S_2 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1_1),fun_up1149430426on_val(L_1_2,Va_1,hAPP_l207779698on_val(L_0_1,Va_1)))
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_0_1),fun_up1149430426on_val(L_0_1,Va_1,none_val))),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1_1),L_1_2))) ) ) ) ).
fof(fact_891_eval__restrict__lcl,axiom,
! [W,Eb,Hb,Lb,E_b,H_b,L_b,Pa] :
( hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))
=> ( hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(fv(Eb)),W))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),restri761823004ar_val(Lb,W))),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),restri761823004ar_val(L_b,W)))) ) ) ) ).
fof(fact_892_FAssRedsVal,axiom,
! [F,D,C,Fs,E_2,Va,H_2,L_2,E_1_1,S_0,A,S_1,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_1_1),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(A))),S_1))),transi2024712006on_val(red(Pa))))
=> ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,Va)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),L_2)))),transi2024712006on_val(red(Pa))))
=> ( hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs)) = hAPP_n546249108on_val(H_2,A)
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(E_1_1,F,D,E_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,fun_up2041264236on_val(H_2,A,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),fun_up204312361on_val(Fs,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,F),D),hAPP_val_option_val(some_val,Va)))))),L_2)))),transi2024712006on_val(red(Pa)))) ) ) ) ).
fof(fact_893_redp__redsp_OFAssRed1,axiom,
! [F,D,E_2,Pa,Eb,S,E_b,S_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_2))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(Eb,F,D,E_2),S),fAss_list_char(E_b,F,D,E_2)),S_2)) ) ).
fof(fact_894_redp__redsp_OFAssRed2,axiom,
! [Va,F,D,Pa,Eb,S,E_b,S_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_2))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(hAPP_v834067052t_char(val_list_char,Va),F,D,Eb),S),fAss_list_char(hAPP_v834067052t_char(val_list_char,Va),F,D,E_b)),S_2)) ) ).
fof(fact_895_fv__fvs_Osimps_I8_J,axiom,
! [E_1_1,F,D,E_2] : fv(fAss_list_char(E_1_1,F,D,E_2)) = semila919158006r_bool(fv(E_1_1),fv(E_2)) ).
fof(fact_896_red__reds_OFAssRed1,axiom,
! [F,D,E_2,Eb,S,E_b,S_2,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),red(Pa)))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(Eb,F,D,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(E_b,F,D,E_2)),S_2))),red(Pa))) ) ).
fof(fact_897_red__reds_OFAssRed2,axiom,
! [Va,F,D,Eb,S,E_b,S_2,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),red(Pa)))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(hAPP_v834067052t_char(val_list_char,Va),F,D,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(hAPP_v834067052t_char(val_list_char,Va),F,D,E_b)),S_2))),red(Pa))) ) ).
fof(fact_898_FAssReds1,axiom,
! [F,D,E_2,Eb,S,E_b,S_2,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),transi2024712006on_val(red(Pa))))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(Eb,F,D,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(E_b,F,D,E_2)),S_2))),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_899_FAssReds2,axiom,
! [Va,F,D,Eb,S,E_b,S_2,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),transi2024712006on_val(red(Pa))))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(hAPP_v834067052t_char(val_list_char,Va),F,D,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(hAPP_v834067052t_char(val_list_char,Va),F,D,E_b)),S_2))),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_900_FAss,axiom,
! [H_2_1,Fs_2,F,D,C,Fs,E_2,Va,H_2,L_2,Pa,E_1_1,S_0,A,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_0),hAPP_v834067052t_char(val_list_char,addr(A))),S_1))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1),hAPP_v834067052t_char(val_list_char,Va)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),L_2)))
=> ( hAPP_n546249108on_val(H_2,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs))
=> ( Fs_2 = fun_up204312361on_val(Fs,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,F),D),hAPP_val_option_val(some_val,Va))
=> ( H_2_1 = fun_up2041264236on_val(H_2,A,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_2)))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAss_list_char(E_1_1,F,D,E_2),S_0),hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2_1),L_2))) ) ) ) ) ) ).
fof(fact_901_redp__redsp_ORedFAss,axiom,
! [Pa,F,D,Va,Lb,Hb,A,C,Fs] :
( hAPP_n546249108on_val(Hb,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(hAPP_v834067052t_char(val_list_char,addr(A)),F,D,hAPP_v834067052t_char(val_list_char,Va)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,fun_up2041264236on_val(Hb,A,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),fun_up204312361on_val(Fs,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,F),D),hAPP_val_option_val(some_val,Va)))))),Lb))) ) ).
fof(fact_902_red__reds_ORedFAss,axiom,
! [F,D,Va,Lb,Pa,Hb,A,C,Fs] :
( hAPP_n546249108on_val(Hb,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(hAPP_v834067052t_char(val_list_char,addr(A)),F,D,hAPP_v834067052t_char(val_list_char,Va))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,fun_up2041264236on_val(Hb,A,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),fun_up204312361on_val(Fs,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,F),D),hAPP_val_option_val(some_val,Va)))))),Lb)))),red(Pa))) ) ).
fof(fact_903_FAccRedsVal,axiom,
! [F,D,Va,C,Fs,Eb,S,A,S_2,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(A))),S_2))),transi2024712006on_val(red(Pa))))
=> ( hAPP_n546249108on_val(hp(S_2),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs))
=> ( hAPP_P2094403585on_val(Fs,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,F),D)) = hAPP_val_option_val(some_val,Va)
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(Eb,F,D)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,Va)),S_2))),transi2024712006on_val(red(Pa)))) ) ) ) ).
fof(fact_904_red__reds_ORedFAcc,axiom,
! [Pa,F,D,Va,S,A,C,Fs] :
( hAPP_n546249108on_val(hp(S),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs))
=> ( hAPP_P2094403585on_val(Fs,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,F),D)) = hAPP_val_option_val(some_val,Va)
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(hAPP_v834067052t_char(val_list_char,addr(A)),F,D)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,Va)),S))),red(Pa))) ) ) ).
fof(fact_905_redp__redsp_ORedFAcc,axiom,
! [Pa,F,D,Va,S,A,C,Fs] :
( hAPP_n546249108on_val(hp(S),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs))
=> ( hAPP_P2094403585on_val(Fs,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,F),D)) = hAPP_val_option_val(some_val,Va)
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAcc_list_char(hAPP_v834067052t_char(val_list_char,addr(A)),F,D),S),hAPP_v834067052t_char(val_list_char,Va)),S)) ) ) ).
fof(fact_906_FAcc,axiom,
! [F,D,Va,C,Fs,Pa,Eb,S_0,A,Hb,Lb] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,addr(A))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)))
=> ( hAPP_n546249108on_val(Hb,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs))
=> ( hAPP_P2094403585on_val(Fs,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,F),D)) = hAPP_val_option_val(some_val,Va)
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAcc_list_char(Eb,F,D),S_0),hAPP_v834067052t_char(val_list_char,Va)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))) ) ) ) ).
fof(fact_907_red__reds_OInitBlockThrow,axiom,
! [Va_1,Ta,Va,A,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(Va_1,Ta,seq_list_char(lAss_list_char(Va_1,hAPP_v834067052t_char(val_list_char,Va)),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),S))),red(Pa))) ).
fof(fact_908_redp__redsp_OFAccThrow,axiom,
! [Pa,Eb,F,D,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAcc_list_char(throw_list_char(Eb),F,D),S),throw_list_char(Eb)),S)) ).
fof(fact_909_eval__evals_OFAccThrow,axiom,
! [F,D,Pa,Eb,S_0,E_b,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),throw_list_char(E_b)),S_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAcc_list_char(Eb,F,D),S_0),throw_list_char(E_b)),S_1)) ) ).
fof(fact_910_eval__evals_OThrowThrow,axiom,
! [Pa,Eb,S_0,E_b,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),throw_list_char(E_b)),S_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,throw_list_char(Eb),S_0),throw_list_char(E_b)),S_1)) ) ).
fof(fact_911_redp__redsp_OThrowThrow,axiom,
! [Pa,Eb,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,throw_list_char(throw_list_char(Eb)),S),throw_list_char(Eb)),S)) ).
fof(fact_912_redp__redsp_OThrowRed,axiom,
! [Pa,Eb,S,E_b,S_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_2))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,throw_list_char(Eb),S),throw_list_char(E_b)),S_2)) ) ).
fof(fact_913_fv__fvs_Osimps_I14_J,axiom,
! [Eb] : fv(throw_list_char(Eb)) = fv(Eb) ).
fof(fact_914_redp__redsp_OFAccRed,axiom,
! [F,D,Pa,Eb,S,E_b,S_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_2))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAcc_list_char(Eb,F,D),S),fAcc_list_char(E_b,F,D)),S_2)) ) ).
fof(fact_915_fv__fvs_Osimps_I7_J,axiom,
! [Eb,F,D] : fv(fAcc_list_char(Eb,F,D)) = fv(Eb) ).
fof(fact_916_red__reds_OFAccThrow,axiom,
! [Eb,F,D,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(throw_list_char(Eb),F,D)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S))),red(Pa))) ).
fof(fact_917_FAccRedsThrow,axiom,
! [F,D,Eb,S,A,S_2,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_2))),transi2024712006on_val(red(Pa))))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(Eb,F,D)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_2))),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_918_eval__evals_OSeqThrow,axiom,
! [E_1_1,Pa,E_0,S_0,Eb,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_0,S_0),throw_list_char(Eb)),S_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,seq_list_char(E_0,E_1_1),S_0),throw_list_char(Eb)),S_1)) ) ).
fof(fact_919_eval__evals_OLAssThrow,axiom,
! [Va_1,Pa,Eb,S_0,E_b,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),throw_list_char(E_b)),S_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,lAss_list_char(Va_1,Eb),S_0),throw_list_char(E_b)),S_1)) ) ).
fof(fact_920_eval__evals_OFAssThrow1,axiom,
! [F,D,E_2,Pa,E_1_1,S_0,E_b,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_0),throw_list_char(E_b)),S_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAss_list_char(E_1_1,F,D,E_2),S_0),throw_list_char(E_b)),S_1)) ) ).
fof(fact_921_redp__redsp_OSeqThrow,axiom,
! [Pa,Eb,E_2,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,seq_list_char(throw_list_char(Eb),E_2),S),throw_list_char(Eb)),S)) ).
fof(fact_922_redp__redsp_OLAssThrow,axiom,
! [Pa,Va_1,Eb,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,lAss_list_char(Va_1,throw_list_char(Eb)),S),throw_list_char(Eb)),S)) ).
fof(fact_923_redp__redsp_OFAssThrow1,axiom,
! [Pa,Eb,F,D,E_2,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(throw_list_char(Eb),F,D,E_2),S),throw_list_char(Eb)),S)) ).
fof(fact_924_red__reds_OThrowThrow,axiom,
! [Eb,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(throw_list_char(Eb))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S))),red(Pa))) ).
fof(fact_925_red__reds_OThrowRed,axiom,
! [Eb,S,E_b,S_2,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),red(Pa)))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(E_b)),S_2))),red(Pa))) ) ).
fof(fact_926_Throw,axiom,
! [Pa,Eb,S_0,A,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,addr(A))),S_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,throw_list_char(Eb),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),S_1)) ) ).
fof(fact_927_eval__evals_OFAssThrow2,axiom,
! [F,D,E_2,E_b,S_2_1,Pa,E_1_1,S_0,Va,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_0),hAPP_v834067052t_char(val_list_char,Va)),S_1))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1),throw_list_char(E_b)),S_2_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAss_list_char(E_1_1,F,D,E_2),S_0),throw_list_char(E_b)),S_2_1)) ) ) ).
fof(fact_928_red__reds_OFAccRed,axiom,
! [F,D,Eb,S,E_b,S_2,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),red(Pa)))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(Eb,F,D)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(E_b,F,D)),S_2))),red(Pa))) ) ).
fof(fact_929_redp__redsp_OFAssThrow2,axiom,
! [Pa,Va,F,D,Eb,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(hAPP_v834067052t_char(val_list_char,Va),F,D,throw_list_char(Eb)),S),throw_list_char(Eb)),S)) ).
fof(fact_930_ThrowReds,axiom,
! [Eb,S,E_b,S_2,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),transi2024712006on_val(red(Pa))))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(E_b)),S_2))),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_931_ThrowRedsThrow,axiom,
! [Eb,S,A,S_2,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_2))),transi2024712006on_val(red(Pa))))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_2))),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_932_red__reds_OLAssThrow,axiom,
! [Va_1,Eb,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(Va_1,throw_list_char(Eb))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S))),red(Pa))) ).
fof(fact_933_red__reds_OSeqThrow,axiom,
! [Eb,E_2,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(throw_list_char(Eb),E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S))),red(Pa))) ).
fof(fact_934_red__reds_OFAssThrow1,axiom,
! [Eb,F,D,E_2,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(throw_list_char(Eb),F,D,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S))),red(Pa))) ).
fof(fact_935_redp__redsp_OBlockThrow,axiom,
! [Pa,Va_1,Ta,A,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(Va_1,Ta,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),S),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),S)) ).
fof(fact_936_FAccReds,axiom,
! [F,D,Eb,S,E_b,S_2,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),transi2024712006on_val(red(Pa))))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(Eb,F,D)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(E_b,F,D)),S_2))),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_937_red__reds_OFAssThrow2,axiom,
! [Va,F,D,Eb,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(hAPP_v834067052t_char(val_list_char,Va),F,D,throw_list_char(Eb))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S))),red(Pa))) ).
fof(fact_938_LAssRedsThrow,axiom,
! [Va_1,Eb,S,A,S_2,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_2))),transi2024712006on_val(red(Pa))))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(Va_1,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_2))),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_939_SeqRedsThrow,axiom,
! [E_2,Eb,S,E_b,S_2,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(E_b)),S_2))),transi2024712006on_val(red(Pa))))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(Eb,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(E_b)),S_2))),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_940_FAssRedsThrow1,axiom,
! [F,D,E_2,Eb,S,E_b,S_2,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(E_b)),S_2))),transi2024712006on_val(red(Pa))))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(Eb,F,D,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(E_b)),S_2))),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_941_FAssRedsThrow2,axiom,
! [F,D,E_2,Eb,S_2_1,E_1_1,S_0,Va,S_1,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_1_1),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,Va)),S_1))),transi2024712006on_val(red(Pa))))
=> ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S_2_1))),transi2024712006on_val(red(Pa))))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(E_1_1,F,D,E_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S_2_1))),transi2024712006on_val(red(Pa)))) ) ) ).
fof(fact_942_red__reds_OBlockThrow,axiom,
! [Va_1,Ta,A,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(Va_1,Ta,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A))))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),S))),red(Pa))) ).
fof(fact_943_redp__redsp_OInitBlockThrow,axiom,
! [Pa,Va_1,Ta,Va,A,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(Va_1,Ta,seq_list_char(lAss_list_char(Va_1,hAPP_v834067052t_char(val_list_char,Va)),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A))))),S),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),S)) ).
fof(fact_944_eval__cases_I4_J,axiom,
! [Pa,Va_1,Eb,S,E_b,S_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,lAss_list_char(Va_1,Eb),S),E_b),S_2))
=> ( ( E_b = hAPP_v834067052t_char(val_list_char,unit)
=> ! [V_2,H,L_4] :
( S_2 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),fun_up1149430426on_val(L_4,Va_1,hAPP_val_option_val(some_val,V_2)))
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),hAPP_v834067052t_char(val_list_char,V_2)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L_4))) ) )
=> ~ ! [E_1] :
( E_b = throw_list_char(E_1)
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),throw_list_char(E_1)),S_2)) ) ) ) ).
fof(fact_945_eval__cases_I9_J,axiom,
! [Pa,E_1_1,E_2,S,E_b,S_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,seq_list_char(E_1_1,E_2),S),E_b),S_2))
=> ( ! [V_2,S_1_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S),hAPP_v834067052t_char(val_list_char,V_2)),S_1_1))
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_1),E_b),S_2)) )
=> ~ ! [E_4] :
( E_b = throw_list_char(E_4)
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S),throw_list_char(E_4)),S_2)) ) ) ) ).
fof(fact_946_val_Osimps_I10_J,axiom,
! [Nat_1] : unit != addr(Nat_1) ).
fof(fact_947_val_Osimps_I11_J,axiom,
! [Nat_1] : addr(Nat_1) != unit ).
fof(fact_948_val_Osimps_I3_J,axiom,
! [Nat_2,Nat] :
( addr(Nat_2) = addr(Nat)
<=> Nat_2 = Nat ) ).
fof(fact_949_TryCatchRedsFinal,axiom,
! [E_2,Va_1,E_2_1,H_2,L_2,C,D,Fs,E_1_1,S_0,A,H_1,L_1_1,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_1_1),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1),L_1_1)))),transi2024712006on_val(red(Pa))))
=> ( hAPP_n546249108on_val(H_1,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs))
=> ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,D),C)),transi1395422419t_char(subcls851966956t_char(Pa))))
=> ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1),fun_up1149430426on_val(L_1_1,Va_1,hAPP_val_option_val(some_val,addr(A)))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),L_2)))),transi2024712006on_val(red(Pa))))
=> ( hBOOL(final_list_char(E_2_1))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(E_1_1,C,Va_1,E_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),fun_up1149430426on_val(L_2,Va_1,hAPP_l207779698on_val(L_1_1,Va_1)))))),transi2024712006on_val(red(Pa)))) ) ) ) ) ) ).
fof(fact_950_WTrtThrow,axiom,
! [Ta,Pa,Hb,Ea,Eb,T_r] :
( hBOOL(wTrt_1(Pa,Hb,Ea,Eb,T_r))
=> ( hBOOL(is_refT(T_r))
=> hBOOL(wTrt_1(Pa,Hb,Ea,throw_list_char(Eb),Ta)) ) ) ).
fof(fact_951_BinOpRedsThrow2,axiom,
! [Bop,E_2,Eb,S_2_1,E_1_1,S_0,V_1_2,S_1,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_1_1),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V_1_2)),S_1))),transi2024712006on_val(red(Pa))))
=> ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S_2_1))),transi2024712006on_val(red(Pa))))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(E_1_1,Bop,E_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S_2_1))),transi2024712006on_val(red(Pa)))) ) ) ).
fof(fact_952_TryRedsFail,axiom,
! [Va_1,E_2,C,D,Fs,E_1_1,S,A,Hb,Lb,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_1_1),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)))),transi2024712006on_val(red(Pa))))
=> ( hAPP_n546249108on_val(Hb,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs))
=> ( ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,D),C)),transi1395422419t_char(subcls851966956t_char(Pa))))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(E_1_1,C,Va_1,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)))),transi2024712006on_val(red(Pa)))) ) ) ) ).
fof(fact_953_redp__redsp_OBinOpRed1,axiom,
! [Bop,E_2,Pa,Eb,S,E_b,S_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_2))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,binOp_list_char(Eb,Bop,E_2),S),binOp_list_char(E_b,Bop,E_2)),S_2)) ) ).
fof(fact_954_redp__redsp_OTryRed,axiom,
! [C,Va_1,E_2,Pa,Eb,S,E_b,S_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_2))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,tryCatch_list_char(Eb,C,Va_1,E_2),S),tryCatch_list_char(E_b,C,Va_1,E_2)),S_2)) ) ).
fof(fact_955_eval__evals_OBinOpThrow1,axiom,
! [Bop,E_2,Pa,E_1_1,S_0,Eb,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_0),throw_list_char(Eb)),S_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,binOp_list_char(E_1_1,Bop,E_2),S_0),throw_list_char(Eb)),S_1)) ) ).
fof(fact_956_redp__redsp_OBinOpRed2,axiom,
! [V_1_2,Bop,Pa,Eb,S,E_b,S_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_2))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_2),Bop,Eb),S),binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_2),Bop,E_b)),S_2)) ) ).
fof(fact_957_redp__redsp_OBinOpThrow1,axiom,
! [Pa,Eb,Bop,E_2,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,binOp_list_char(throw_list_char(Eb),Bop,E_2),S),throw_list_char(Eb)),S)) ).
fof(fact_958_Try,axiom,
! [C,Va_1,E_2,Pa,E_1_1,S_0,V_1_2,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_0),hAPP_v834067052t_char(val_list_char,V_1_2)),S_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,tryCatch_list_char(E_1_1,C,Va_1,E_2),S_0),hAPP_v834067052t_char(val_list_char,V_1_2)),S_1)) ) ).
fof(fact_959_redp__redsp_ORedTry,axiom,
! [Pa,Va,C,Va_1,E_2,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,tryCatch_list_char(hAPP_v834067052t_char(val_list_char,Va),C,Va_1,E_2),S),hAPP_v834067052t_char(val_list_char,Va)),S)) ).
fof(fact_960_fv__fvs_Osimps_I4_J,axiom,
! [E_1_1,Bop,E_2] : fv(binOp_list_char(E_1_1,Bop,E_2)) = semila919158006r_bool(fv(E_1_1),fv(E_2)) ).
fof(fact_961_red__reds_OBinOpRed1,axiom,
! [Bop,E_2,Eb,S,E_b,S_2,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),red(Pa)))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(Eb,Bop,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(E_b,Bop,E_2)),S_2))),red(Pa))) ) ).
fof(fact_962_eval__evals_OBinOpThrow2,axiom,
! [Bop,E_2,Eb,S_2_1,Pa,E_1_1,S_0,V_1_2,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_0),hAPP_v834067052t_char(val_list_char,V_1_2)),S_1))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1),throw_list_char(Eb)),S_2_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,binOp_list_char(E_1_1,Bop,E_2),S_0),throw_list_char(Eb)),S_2_1)) ) ) ).
fof(fact_963_redp__redsp_OBinOpThrow2,axiom,
! [Pa,V_1_2,Bop,Eb,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_2),Bop,throw_list_char(Eb)),S),throw_list_char(Eb)),S)) ).
fof(fact_964_red__reds_OTryRed,axiom,
! [C,Va_1,E_2,Eb,S,E_b,S_2,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),red(Pa)))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(Eb,C,Va_1,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(E_b,C,Va_1,E_2)),S_2))),red(Pa))) ) ).
fof(fact_965_red__reds_OBinOpRed2,axiom,
! [V_1_2,Bop,Eb,S,E_b,S_2,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),red(Pa)))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_2),Bop,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_2),Bop,E_b)),S_2))),red(Pa))) ) ).
fof(fact_966_red__reds_OBinOpThrow1,axiom,
! [Eb,Bop,E_2,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(throw_list_char(Eb),Bop,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S))),red(Pa))) ).
fof(fact_967_BinOp1Reds,axiom,
! [Bop,E_2,Eb,S,E_b,S_2,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),transi2024712006on_val(red(Pa))))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(Eb,Bop,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(E_b,Bop,E_2)),S_2))),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_968_red__reds_ORedTry,axiom,
! [Va,C,Va_1,E_2,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(hAPP_v834067052t_char(val_list_char,Va),C,Va_1,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,Va)),S))),red(Pa))) ).
fof(fact_969_TryReds,axiom,
! [C,Va_1,E_2,Eb,S,E_b,S_2,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),transi2024712006on_val(red(Pa))))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(Eb,C,Va_1,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(E_b,C,Va_1,E_2)),S_2))),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_970_TryThrow,axiom,
! [Va_1,E_2,C,D,Fs,Pa,E_1_1,S_0,A,H_1,L_1_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1),L_1_1)))
=> ( hAPP_n546249108on_val(H_1,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs))
=> ( ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,D),C)),transi1395422419t_char(subcls851966956t_char(Pa))))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,tryCatch_list_char(E_1_1,C,Va_1,E_2),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1),L_1_1))) ) ) ) ).
fof(fact_971_red__reds_OBinOpThrow2,axiom,
! [V_1_2,Bop,Eb,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_2),Bop,throw_list_char(Eb))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S))),red(Pa))) ).
fof(fact_972_BinOp2Reds,axiom,
! [Va,Bop,Eb,S,E_b,S_2,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),transi2024712006on_val(red(Pa))))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(hAPP_v834067052t_char(val_list_char,Va),Bop,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(hAPP_v834067052t_char(val_list_char,Va),Bop,E_b)),S_2))),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_973_BinOpRedsThrow1,axiom,
! [Bop,E_2,Eb,S,E_b,S_2,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(E_b)),S_2))),transi2024712006on_val(red(Pa))))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(Eb,Bop,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(E_b)),S_2))),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_974_TryRedsVal,axiom,
! [C,Va_1,E_2,Eb,S,Va,S_2,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,Va)),S_2))),transi2024712006on_val(red(Pa))))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(Eb,C,Va_1,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,Va)),S_2))),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_975_red__reds_ORedTryFail,axiom,
! [Va_1,E_2,C,Pa,S,A,D,Fs] :
( hAPP_n546249108on_val(hp(S),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs))
=> ( ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,D),C)),transi1395422419t_char(subcls851966956t_char(Pa))))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A))),C,Va_1,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),S))),red(Pa))) ) ) ).
fof(fact_976_TryCatch,axiom,
! [E_2,Va_1,E_2_1,H_2,L_2,C,D,Fs,Pa,E_1_1,S_0,A,H_1,L_1_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1),L_1_1)))
=> ( hAPP_n546249108on_val(H_1,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs))
=> ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,D),C)),transi1395422419t_char(subcls851966956t_char(Pa))))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1),fun_up1149430426on_val(L_1_1,Va_1,hAPP_val_option_val(some_val,addr(A))))),E_2_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),L_2)))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,tryCatch_list_char(E_1_1,C,Va_1,E_2),S_0),E_2_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),fun_up1149430426on_val(L_2,Va_1,hAPP_l207779698on_val(L_1_1,Va_1))))) ) ) ) ) ).
fof(fact_977_WTrt__elim__cases_I4_J,axiom,
! [Pa,Hb,Ea,Eb,Ta] :
( hBOOL(wTrt_1(Pa,Hb,Ea,throw_list_char(Eb),Ta))
=> ~ ! [T_r_1] :
( hBOOL(wTrt_1(Pa,Hb,Ea,Eb,T_r_1))
=> ~ hBOOL(is_refT(T_r_1)) ) ) ).
fof(fact_978_preallocated__new,axiom,
! [X_2,A,Hb] :
( hBOOL(preallocated(Hb))
=> ( hAPP_n546249108on_val(Hb,A) = none_P179726773on_val
=> hBOOL(preallocated(fun_up2041264236on_val(Hb,A,hAPP_P1510515380on_val(some_P948696889on_val,X_2)))) ) ) ).
fof(fact_979_red__reds_ORedTryCatch,axiom,
! [Va_1,E_2,C,Pa,S,A,D,Fs] :
( hAPP_n546249108on_val(hp(S),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs))
=> ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,D),C)),transi1395422419t_char(subcls851966956t_char(Pa))))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A))),C,Va_1,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(Va_1,hAPP_list_char_ty(class,C),seq_list_char(lAss_list_char(Va_1,hAPP_v834067052t_char(val_list_char,addr(A))),E_2))),S))),red(Pa))) ) ) ).
fof(fact_980_preallocated__upd__obj,axiom,
! [Fs_2,A,C,Fs,Hb] :
( hBOOL(preallocated(Hb))
=> ( hAPP_n546249108on_val(Hb,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs))
=> hBOOL(preallocated(fun_up2041264236on_val(Hb,A,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_2))))) ) ) ).
fof(fact_981_CastRedsAddr,axiom,
! [C,D,Fs,Eb,S,A,S_2,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(A))),S_2))),transi2024712006on_val(red(Pa))))
=> ( hAPP_n546249108on_val(hp(S_2),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs))
=> ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,D),C)),transi1395422419t_char(subcls851966956t_char(Pa))))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(A))),S_2))),transi2024712006on_val(red(Pa)))) ) ) ) ).
fof(fact_982_WTrtTry,axiom,
! [Va_1,C,E_2,T_2_2,Pa,Hb,Ea,E_1_1,T_1_1] :
( hBOOL(wTrt_1(Pa,Hb,Ea,E_1_1,T_1_1))
=> ( hBOOL(wTrt_1(Pa,Hb,fun_up424764369ion_ty(Ea,Va_1,hAPP_ty_option_ty(some_ty,hAPP_list_char_ty(class,C))),E_2,T_2_2))
=> ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_1_1),T_2_2))
=> hBOOL(wTrt_1(Pa,Hb,Ea,tryCatch_list_char(E_1_1,C,Va_1,E_2),T_2_2)) ) ) ) ).
fof(fact_983_redp__redsp_OCastRed,axiom,
! [C,Pa,Eb,S,E_b,S_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_2))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cast_list_char(C,Eb),S),cast_list_char(C,E_b)),S_2)) ) ).
fof(fact_984_fv__fvs_Osimps_I2_J,axiom,
! [C,Eb] : fv(cast_list_char(C,Eb)) = fv(Eb) ).
fof(fact_985_eval__evals_OCastThrow,axiom,
! [C,Pa,Eb,S_0,E_b,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),throw_list_char(E_b)),S_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cast_list_char(C,Eb),S_0),throw_list_char(E_b)),S_1)) ) ).
fof(fact_986_redp__redsp_OCastThrow,axiom,
! [Pa,C,Eb,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cast_list_char(C,throw_list_char(Eb)),S),throw_list_char(Eb)),S)) ).
fof(fact_987_WTrtFAcc,axiom,
! [F,Ta,D,Pa,Hb,Ea,Eb,C] :
( hBOOL(wTrt_1(Pa,Hb,Ea,Eb,hAPP_list_char_ty(class,C)))
=> ( hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(Pa,C,F,Ta),D))
=> hBOOL(wTrt_1(Pa,Hb,Ea,fAcc_list_char(Eb,F,D),Ta)) ) ) ).
fof(fact_988_red__reds_OCastRed,axiom,
! [C,Eb,S,E_b,S_2,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),red(Pa)))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,E_b)),S_2))),red(Pa))) ) ).
fof(fact_989_red__reds_OCastThrow,axiom,
! [C,Eb,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,throw_list_char(Eb))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S))),red(Pa))) ).
fof(fact_990_CastReds,axiom,
! [C,Eb,S,E_b,S_2,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),transi2024712006on_val(red(Pa))))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,E_b)),S_2))),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_991_WTrtFAss,axiom,
! [E_2,T_2_2,F,Ta,D,Pa,Hb,Ea,E_1_1,C] :
( hBOOL(wTrt_1(Pa,Hb,Ea,E_1_1,hAPP_list_char_ty(class,C)))
=> ( hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(Pa,C,F,Ta),D))
=> ( hBOOL(wTrt_1(Pa,Hb,Ea,E_2,T_2_2))
=> ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_2_2),Ta))
=> hBOOL(wTrt_1(Pa,Hb,Ea,fAss_list_char(E_1_1,F,D,E_2),void)) ) ) ) ) ).
fof(fact_992_CastRedsThrow,axiom,
! [C,Eb,S,A,S_2,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_2))),transi2024712006on_val(red(Pa))))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_2))),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_993_preallocated__hext,axiom,
! [H_b,Hb] :
( hBOOL(preallocated(Hb))
=> ( hBOOL(hext(Hb,H_b))
=> hBOOL(preallocated(H_b)) ) ) ).
fof(fact_994_Cast,axiom,
! [C,D,Fs,Pa,Eb,S_0,A,Hb,Lb] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,addr(A))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)))
=> ( hAPP_n546249108on_val(Hb,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs))
=> ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,D),C)),transi1395422419t_char(subcls851966956t_char(Pa))))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cast_list_char(C,Eb),S_0),hAPP_v834067052t_char(val_list_char,addr(A))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))) ) ) ) ).
fof(fact_995_red__reds_ORedCast,axiom,
! [C,Pa,S,A,D,Fs] :
( hAPP_n546249108on_val(hp(S),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs))
=> ( hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,D),C)),transi1395422419t_char(subcls851966956t_char(Pa))))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,hAPP_v834067052t_char(val_list_char,addr(A)))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(A))),S))),red(Pa))) ) ) ).
fof(fact_996_WTrt__elim__cases_I5_J,axiom,
! [Pa,Hb,Ea,E_1_1,C,Va_1,E_2,Ta] :
( hBOOL(wTrt_1(Pa,Hb,Ea,tryCatch_list_char(E_1_1,C,Va_1,E_2),Ta))
=> ~ ! [T_1_2] :
( hBOOL(wTrt_1(Pa,Hb,Ea,E_1_1,T_1_2))
=> ( hBOOL(wTrt_1(Pa,Hb,fun_up424764369ion_ty(Ea,Va_1,hAPP_ty_option_ty(some_ty,hAPP_list_char_ty(class,C))),E_2,Ta))
=> ~ hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_1_2),Ta)) ) ) ) ).
fof(fact_997_final__addrE,axiom,
! [Pa,Hb,Ea,Eb,C] :
( hBOOL(wTrt_1(Pa,Hb,Ea,Eb,hAPP_list_char_ty(class,C)))
=> ( hBOOL(final_list_char(Eb))
=> ( ! [A_1] : Eb != hAPP_v834067052t_char(val_list_char,addr(A_1))
=> ~ ! [A_1] : Eb != throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1))) ) ) ) ).
fof(fact_998_BinOpRedsVal,axiom,
! [Bop,Va,E_2,V_2_1,S_2_1,E_1_1,S_0,V_1_2,S_1,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_1_1),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V_1_2)),S_1))),transi2024712006on_val(red(Pa))))
=> ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V_2_1)),S_2_1))),transi2024712006on_val(red(Pa))))
=> ( binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Bop),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,V_1_2),V_2_1))) = hAPP_val_option_val(some_val,Va)
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(E_1_1,Bop,E_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,Va)),S_2_1))),transi2024712006on_val(red(Pa)))) ) ) ) ).
fof(fact_999_CastRedsFail,axiom,
! [C,D,Fs,Eb,S,A,S_2,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(A))),S_2))),transi2024712006on_val(red(Pa))))
=> ( hAPP_n546249108on_val(hp(S_2),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs))
=> ( ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,D),C)),transi1395422419t_char(subcls851966956t_char(Pa))))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(classCast))))),S_2))),transi2024712006on_val(red(Pa)))) ) ) ) ).
fof(fact_1000_BinOp,axiom,
! [Bop,Va,E_2,V_2_1,S_2_1,Pa,E_1_1,S_0,V_1_2,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_0),hAPP_v834067052t_char(val_list_char,V_1_2)),S_1))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1),hAPP_v834067052t_char(val_list_char,V_2_1)),S_2_1))
=> ( binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Bop),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,V_1_2),V_2_1))) = hAPP_val_option_val(some_val,Va)
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,binOp_list_char(E_1_1,Bop,E_2),S_0),hAPP_v834067052t_char(val_list_char,Va)),S_2_1)) ) ) ) ).
fof(fact_1001_redp__redsp_ORedBinOp,axiom,
! [Pa,S,Bop,V_1_2,V_2_1,Va] :
( binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Bop),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,V_1_2),V_2_1))) = hAPP_val_option_val(some_val,Va)
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_2),Bop,hAPP_v834067052t_char(val_list_char,V_2_1)),S),hAPP_v834067052t_char(val_list_char,Va)),S)) ) ).
fof(fact_1002_CastFail,axiom,
! [C,D,Fs,Pa,Eb,S_0,A,Hb,Lb] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,addr(A))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)))
=> ( hAPP_n546249108on_val(Hb,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs))
=> ( ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,D),C)),transi1395422419t_char(subcls851966956t_char(Pa))))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cast_list_char(C,Eb),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(classCast))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))) ) ) ) ).
fof(fact_1003_red__reds_ORedCastFail,axiom,
! [C,Pa,S,A,D,Fs] :
( hAPP_n546249108on_val(hp(S),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs))
=> ( ~ hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,D),C)),transi1395422419t_char(subcls851966956t_char(Pa))))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,hAPP_v834067052t_char(val_list_char,addr(A)))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(classCast))))),S))),red(Pa))) ) ) ).
fof(fact_1004_red__reds_ORedBinOp,axiom,
! [S,Pa,Bop,V_1_2,V_2_1,Va] :
( binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Bop),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,V_1_2),V_2_1))) = hAPP_val_option_val(some_val,Va)
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_2),Bop,hAPP_v834067052t_char(val_list_char,V_2_1))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,Va)),S))),red(Pa))) ) ).
fof(fact_1005_eval__cases_I3_J,axiom,
! [Pa,E_1_1,Bop,E_2,S,E_b,S_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,binOp_list_char(E_1_1,Bop,E_2),S),E_b),S_2))
=> ( ! [V_1_1,S_1_1,V_2_3,V_2] :
( E_b = hAPP_v834067052t_char(val_list_char,V_2)
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S),hAPP_v834067052t_char(val_list_char,V_1_1)),S_1_1))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_1),hAPP_v834067052t_char(val_list_char,V_2_3)),S_2))
=> binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Bop),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,V_1_1),V_2_3))) != hAPP_val_option_val(some_val,V_2) ) ) )
=> ( ! [E_4] :
( E_b = throw_list_char(E_4)
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S),throw_list_char(E_4)),S_2)) )
=> ~ ! [V_1_1,S_1_1,E_4] :
( E_b = throw_list_char(E_4)
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S),hAPP_v834067052t_char(val_list_char,V_1_1)),S_1_1))
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_1),throw_list_char(E_4)),S_2)) ) ) ) ) ) ).
fof(fact_1006_binop_Osimps_I7_J,axiom,
! [V_1_3] : binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,add),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,V_1_3),unit))) = none_val ).
fof(fact_1007_binop_Osimps_I3_J,axiom,
! [V_2_2] : binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,add),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,unit),V_2_2))) = none_val ).
fof(fact_1008_typeof__ClassCast,axiom,
! [Hb] :
( hBOOL(preallocated(Hb))
=> hAPP_val_option_ty(typeof_h(Hb),addr(addr_of_sys_xcpt(classCast))) = hAPP_ty_option_ty(some_ty,hAPP_list_char_ty(class,classCast)) ) ).
fof(fact_1009_WTrtVal,axiom,
! [Pa,Ea,Hb,Va,Ta] :
( hAPP_val_option_ty(typeof_h(Hb),Va) = hAPP_ty_option_ty(some_ty,Ta)
=> hBOOL(wTrt_1(Pa,Hb,Ea,hAPP_v834067052t_char(val_list_char,Va),Ta)) ) ).
fof(fact_1010_hext__typeof__mono,axiom,
! [Va,Ta,Hb,H_b] :
( hBOOL(hext(Hb,H_b))
=> ( hAPP_val_option_ty(typeof_h(Hb),Va) = hAPP_ty_option_ty(some_ty,Ta)
=> hAPP_val_option_ty(typeof_h(H_b),Va) = hAPP_ty_option_ty(some_ty,Ta) ) ) ).
fof(fact_1011_typeof__lit__typeof,axiom,
! [Hb,Va,Ta] :
( hAPP_val_option_ty(typeof_h(hAPP_o1576581476on_val(cOMBK_1944287343al_nat,none_P179726773on_val)),Va) = hAPP_ty_option_ty(some_ty,Ta)
=> hAPP_val_option_ty(typeof_h(Hb),Va) = hAPP_ty_option_ty(some_ty,Ta) ) ).
fof(fact_1012_typeof__h_Osimps_I1_J,axiom,
! [Hb] : hAPP_val_option_ty(typeof_h(Hb),unit) = hAPP_ty_option_ty(some_ty,void) ).
fof(fact_1013_binop_Osimps_I6_J,axiom,
! [V,V_2_2] : binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,add),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,addr(V)),V_2_2))) = none_val ).
fof(fact_1014_binop_Osimps_I10_J,axiom,
! [V_1_3,V] : binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,add),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,V_1_3),addr(V)))) = none_val ).
fof(fact_1015_typeof__OutOfMemory,axiom,
! [Hb] :
( hBOOL(preallocated(Hb))
=> hAPP_val_option_ty(typeof_h(Hb),addr(addr_of_sys_xcpt(outOfMemory))) = hAPP_ty_option_ty(some_ty,hAPP_list_char_ty(class,outOfMemory)) ) ).
fof(fact_1016_typeof__NullPointer,axiom,
! [Hb] :
( hBOOL(preallocated(Hb))
=> hAPP_val_option_ty(typeof_h(Hb),addr(addr_of_sys_xcpt(nullPointer))) = hAPP_ty_option_ty(some_ty,hAPP_list_char_ty(class,nullPointer)) ) ).
fof(fact_1017_typeof__h_Osimps_I5_J,axiom,
! [Hb,A] : hAPP_val_option_ty(typeof_h(Hb),addr(A)) = option1388193227on_val(none_ty,hAPP_f46308763ion_ty(produc907433735ion_ty,hAPP_f451501457ion_ty(hAPP_f509342689ion_ty(cOMBB_352765746t_char,cOMBK_184479553on_val),hAPP_f359949478ion_ty(hAPP_f1243585741ion_ty(cOMBB_1888336841t_char,some_ty),class))),hAPP_n546249108on_val(Hb,A)) ).
fof(fact_1018_WTrt_H__WTrts_H_Ointros_I16_J,axiom,
! [Ea,Va_1,E_2,T_2_2,Pa,Ta,Hb,Va,T_1_1] :
( hAPP_val_option_ty(typeof_h(Hb),Va) = hAPP_ty_option_ty(some_ty,T_1_1)
=> ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_1_1),Ta))
=> ( hBOOL(wTrt(Pa,Hb,fun_up424764369ion_ty(Ea,Va_1,hAPP_ty_option_ty(some_ty,Ta)),E_2,T_2_2))
=> hBOOL(wTrt(Pa,Hb,Ea,block_list_char(Va_1,Ta,seq_list_char(lAss_list_char(Va_1,hAPP_v834067052t_char(val_list_char,Va)),E_2)),T_2_2)) ) ) ) ).
fof(fact_1019_WTrt_H__WTrts_H_Ointros_I3_J,axiom,
! [Pa,Ea,Hb,Va,Ta] :
( hAPP_val_option_ty(typeof_h(Hb),Va) = hAPP_ty_option_ty(some_ty,Ta)
=> hBOOL(wTrt(Pa,Hb,Ea,hAPP_v834067052t_char(val_list_char,Va),Ta)) ) ).
fof(fact_1020_WTrt_H__WTrts_H_Ointros_I18_J,axiom,
! [E_2,T_2_2,Pa,Hb,Ea,E_1_1,T_1_1] :
( hBOOL(wTrt(Pa,Hb,Ea,E_1_1,T_1_1))
=> ( hBOOL(wTrt(Pa,Hb,Ea,E_2,T_2_2))
=> hBOOL(wTrt(Pa,Hb,Ea,seq_list_char(E_1_1,E_2),T_2_2)) ) ) ).
fof(fact_1021_wt__wt_H,axiom,
! [Pa,Hb,Ea,Eb,Ta] :
( hBOOL(wTrt_1(Pa,Hb,Ea,Eb,Ta))
=> hBOOL(wTrt(Pa,Hb,Ea,Eb,Ta)) ) ).
fof(fact_1022_wt_H__wt,axiom,
! [Pa,Hb,Ea,Eb,Ta] :
( hBOOL(wTrt(Pa,Hb,Ea,Eb,Ta))
=> hBOOL(wTrt_1(Pa,Hb,Ea,Eb,Ta)) ) ).
fof(fact_1023_wt_H__iff__wt,axiom,
! [Pa,Hb,Ea,Eb,Ta] :
( hBOOL(wTrt(Pa,Hb,Ea,Eb,Ta))
<=> hBOOL(wTrt_1(Pa,Hb,Ea,Eb,Ta)) ) ).
fof(fact_1024_WTrt_H__WTrts_H_Ointros_I21_J,axiom,
! [Ta,Pa,Hb,Ea,Eb,T_r] :
( hBOOL(wTrt(Pa,Hb,Ea,Eb,T_r))
=> ( hBOOL(is_refT(T_r))
=> hBOOL(wTrt(Pa,Hb,Ea,throw_list_char(Eb),Ta)) ) ) ).
fof(fact_1025_WTrt_H__WTrts_H_Ointros_I8_J,axiom,
! [F,Ta,D,Pa,Hb,Ea,Eb,C] :
( hBOOL(wTrt(Pa,Hb,Ea,Eb,hAPP_list_char_ty(class,C)))
=> ( hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(Pa,C,F,Ta),D))
=> hBOOL(wTrt(Pa,Hb,Ea,fAcc_list_char(Eb,F,D),Ta)) ) ) ).
fof(fact_1026_WTrt_H__WTrts_H_Ointros_I17_J,axiom,
! [Pa,Hb,Ea,Va_1,Ta,Eb,T_a] :
( hBOOL(wTrt(Pa,Hb,fun_up424764369ion_ty(Ea,Va_1,hAPP_ty_option_ty(some_ty,Ta)),Eb,T_a))
=> ( ~ hBOOL(assigned(Va_1,Eb))
=> hBOOL(wTrt(Pa,Hb,Ea,block_list_char(Va_1,Ta,Eb),T_a)) ) ) ).
fof(fact_1027_WTrt_H__WTrts_H_Ointros_I22_J,axiom,
! [Va_1,C,E_2,T_2_2,Pa,Hb,Ea,E_1_1,T_1_1] :
( hBOOL(wTrt(Pa,Hb,Ea,E_1_1,T_1_1))
=> ( hBOOL(wTrt(Pa,Hb,fun_up424764369ion_ty(Ea,Va_1,hAPP_ty_option_ty(some_ty,hAPP_list_char_ty(class,C))),E_2,T_2_2))
=> ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_1_1),T_2_2))
=> hBOOL(wTrt(Pa,Hb,Ea,tryCatch_list_char(E_1_1,C,Va_1,E_2),T_2_2)) ) ) ) ).
fof(fact_1028_WTrt_H__WTrts_H_Ointros_I10_J,axiom,
! [E_2,T_2_2,F,Ta,D,Pa,Hb,Ea,E_1_1,C] :
( hBOOL(wTrt(Pa,Hb,Ea,E_1_1,hAPP_list_char_ty(class,C)))
=> ( hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(Pa,C,F,Ta),D))
=> ( hBOOL(wTrt(Pa,Hb,Ea,E_2,T_2_2))
=> ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_2_2),Ta))
=> hBOOL(wTrt(Pa,Hb,Ea,fAss_list_char(E_1_1,F,D,E_2),void)) ) ) ) ) ).
fof(fact_1029_FAccRedsNull,axiom,
! [F,D,Eb,S,S_2,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),S_2))),transi2024712006on_val(red(Pa))))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(Eb,F,D)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_2))),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_1030_FAssRedsNull,axiom,
! [F,D,E_2,Va,S_2_1,E_1_1,S_0,S_1,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_1_1),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),S_1))),transi2024712006on_val(red(Pa))))
=> ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,Va)),S_2_1))),transi2024712006on_val(red(Pa))))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(E_1_1,F,D,E_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_2_1))),transi2024712006on_val(red(Pa)))) ) ) ).
fof(fact_1031_red__reds_ORedFAccNull,axiom,
! [F,D,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(hAPP_v834067052t_char(val_list_char,null),F,D)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S))),red(Pa))) ).
fof(fact_1032_val_Osimps_I5_J,axiom,
null != unit ).
fof(fact_1033_val_Osimps_I4_J,axiom,
unit != null ).
fof(fact_1034_val_Osimps_I16_J,axiom,
! [Nat_1] : null != addr(Nat_1) ).
fof(fact_1035_val_Osimps_I17_J,axiom,
! [Nat_1] : addr(Nat_1) != null ).
fof(fact_1036_CastNull,axiom,
! [C,Pa,Eb,S_0,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,null)),S_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cast_list_char(C,Eb),S_0),hAPP_v834067052t_char(val_list_char,null)),S_1)) ) ).
fof(fact_1037_redp__redsp_ORedCastNull,axiom,
! [Pa,C,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cast_list_char(C,hAPP_v834067052t_char(val_list_char,null)),S),hAPP_v834067052t_char(val_list_char,null)),S)) ).
fof(fact_1038_red__reds_ORedCastNull,axiom,
! [C,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,hAPP_v834067052t_char(val_list_char,null))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),S))),red(Pa))) ).
fof(fact_1039_CastRedsNull,axiom,
! [C,Eb,S,S_2,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),S_2))),transi2024712006on_val(red(Pa))))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),S_2))),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_1040_binop_Osimps_I8_J,axiom,
! [V_1_3] : binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,add),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,V_1_3),null))) = none_val ).
fof(fact_1041_binop_Osimps_I4_J,axiom,
! [V_2_2] : binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,add),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,null),V_2_2))) = none_val ).
fof(fact_1042_ThrowNull,axiom,
! [Pa,Eb,S_0,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,null)),S_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,throw_list_char(Eb),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_1)) ) ).
fof(fact_1043_redp__redsp_ORedThrowNull,axiom,
! [Pa,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,throw_list_char(hAPP_v834067052t_char(val_list_char,null)),S),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S)) ).
fof(fact_1044_FAssNull,axiom,
! [F,D,E_2,Va,S_2_1,Pa,E_1_1,S_0,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_0),hAPP_v834067052t_char(val_list_char,null)),S_1))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1),hAPP_v834067052t_char(val_list_char,Va)),S_2_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAss_list_char(E_1_1,F,D,E_2),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_2_1)) ) ) ).
fof(fact_1045_FAccNull,axiom,
! [F,D,Pa,Eb,S_0,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,null)),S_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAcc_list_char(Eb,F,D),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_1)) ) ).
fof(fact_1046_redp__redsp_ORedFAssNull,axiom,
! [Pa,F,D,Va,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(hAPP_v834067052t_char(val_list_char,null),F,D,hAPP_v834067052t_char(val_list_char,Va)),S),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S)) ).
fof(fact_1047_redp__redsp_ORedFAccNull,axiom,
! [Pa,F,D,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAcc_list_char(hAPP_v834067052t_char(val_list_char,null),F,D),S),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S)) ).
fof(fact_1048_red__reds_ORedThrowNull,axiom,
! [S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,null))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S))),red(Pa))) ).
fof(fact_1049_ThrowRedsNull,axiom,
! [Eb,S,S_2,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),S_2))),transi2024712006on_val(red(Pa))))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_2))),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_1050_red__reds_ORedFAssNull,axiom,
! [F,D,Va,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(hAPP_v834067052t_char(val_list_char,null),F,D,hAPP_v834067052t_char(val_list_char,Va))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S))),red(Pa))) ).
fof(fact_1051_finalRefE,axiom,
! [Pa,Hb,Ea,Eb,Ta] :
( hBOOL(wTrt_1(Pa,Hb,Ea,Eb,Ta))
=> ( hBOOL(is_refT(Ta))
=> ( hBOOL(final_list_char(Eb))
=> ( Eb != hAPP_v834067052t_char(val_list_char,null)
=> ( ( ? [A_1] : Eb = hAPP_v834067052t_char(val_list_char,addr(A_1))
=> ! [C_1] : Ta != hAPP_list_char_ty(class,C_1) )
=> ~ ! [A_1] : Eb != throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1))) ) ) ) ) ) ).
fof(fact_1052_eval__cases_I12_J,axiom,
! [Pa,Eb,S,E_b,S_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,throw_list_char(Eb),S),E_b),S_2))
=> ( ! [A_1] :
( E_b = throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1)))
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),hAPP_v834067052t_char(val_list_char,addr(A_1))),S_2)) )
=> ( ( E_b = throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),hAPP_v834067052t_char(val_list_char,null)),S_2)) )
=> ~ ! [E_1] :
( E_b = throw_list_char(E_1)
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),throw_list_char(E_1)),S_2)) ) ) ) ) ).
fof(fact_1053_redp__redsp_ORedTryCatch,axiom,
! [Va_1,E_2,Pa,C,S,A,D,Fs] :
( hAPP_n546249108on_val(hp(S),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs))
=> ( hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(transi1065307915t_char(subcls744239332t_char(Pa)),D),C))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,tryCatch_list_char(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A))),C,Va_1,E_2),S),block_list_char(Va_1,hAPP_list_char_ty(class,C),seq_list_char(lAss_list_char(Va_1,hAPP_v834067052t_char(val_list_char,addr(A))),E_2))),S)) ) ) ).
fof(fact_1054_redp__redsp_ORedCast,axiom,
! [Pa,C,S,A,D,Fs] :
( hAPP_n546249108on_val(hp(S),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs))
=> ( hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(transi1065307915t_char(subcls744239332t_char(Pa)),D),C))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cast_list_char(C,hAPP_v834067052t_char(val_list_char,addr(A))),S),hAPP_v834067052t_char(val_list_char,addr(A))),S)) ) ) ).
fof(fact_1055_redp__redsp_ORedTryFail,axiom,
! [Va_1,E_2,Pa,C,S,A,D,Fs] :
( hAPP_n546249108on_val(hp(S),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs))
=> ( ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(transi1065307915t_char(subcls744239332t_char(Pa)),D),C))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,tryCatch_list_char(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A))),C,Va_1,E_2),S),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),S)) ) ) ).
fof(fact_1056_redp__redsp_ORedCastFail,axiom,
! [Pa,C,S,A,D,Fs] :
( hAPP_n546249108on_val(hp(S),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs))
=> ( ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(transi1065307915t_char(subcls744239332t_char(Pa)),D),C))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cast_list_char(C,hAPP_v834067052t_char(val_list_char,addr(A))),S),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(classCast))))),S)) ) ) ).
fof(fact_1057_WTrtCast,axiom,
! [C,Pa,Hb,Ea,Eb,Ta] :
( hBOOL(wTrt_1(Pa,Hb,Ea,Eb,Ta))
=> ( hBOOL(is_refT(Ta))
=> ( hBOOL(hAPP_list_char_bool(is_cla570604648t_char(Pa),C))
=> hBOOL(wTrt_1(Pa,Hb,Ea,cast_list_char(C,Eb),hAPP_list_char_ty(class,C))) ) ) ) ).
fof(fact_1058_ty_Osimps_I9_J,axiom,
! [List] : hAPP_list_char_ty(class,List) != void ).
fof(fact_1059_ty_Osimps_I8_J,axiom,
! [List] : void != hAPP_list_char_ty(class,List) ).
fof(fact_1060_ty_Oinject,axiom,
! [List_2,List_1] :
( hAPP_list_char_ty(class,List_2) = hAPP_list_char_ty(class,List_1)
<=> List_2 = List_1 ) ).
fof(fact_1061_WTrt_H__WTrts_H_Ointros_I2_J,axiom,
! [C,Pa,Hb,Ea,Eb,Ta] :
( hBOOL(wTrt(Pa,Hb,Ea,Eb,Ta))
=> ( hBOOL(is_refT(Ta))
=> ( hBOOL(hAPP_list_char_bool(is_cla570604648t_char(Pa),C))
=> hBOOL(wTrt(Pa,Hb,Ea,cast_list_char(C,Eb),hAPP_list_char_ty(class,C))) ) ) ) ).
fof(fact_1062_WTrt__elim__cases_I6_J,axiom,
! [Pa,Hb,Ea,D,Eb,Ta] :
( hBOOL(wTrt_1(Pa,Hb,Ea,cast_list_char(D,Eb),Ta))
=> ~ ( Ta = hAPP_list_char_ty(class,D)
=> ! [T_4] :
( hBOOL(wTrt_1(Pa,Hb,Ea,Eb,T_4))
=> ( hBOOL(is_refT(T_4))
=> ~ hBOOL(hAPP_list_char_bool(is_cla570604648t_char(Pa),D)) ) ) ) ) ).
fof(fact_1063_sys__xcpts__cases,axiom,
! [Pa,C] :
( hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,C),sys_xcpts))
=> ( hBOOL(hAPP_list_char_bool(Pa,nullPointer))
=> ( hBOOL(hAPP_list_char_bool(Pa,outOfMemory))
=> ( hBOOL(hAPP_list_char_bool(Pa,classCast))
=> hBOOL(hAPP_list_char_bool(Pa,C)) ) ) ) ) ).
fof(fact_1064_binop_Osimps_I9_J,axiom,
! [V_1_2,Va] : binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,add),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,V_1_2),bool(Va)))) = none_val ).
fof(fact_1065_val_Osimps_I21_J,axiom,
! [Nat,Bool_1] : addr(Nat) != bool(Bool_1) ).
fof(fact_1066_val_Osimps_I20_J,axiom,
! [Bool_1,Nat] : bool(Bool_1) != addr(Nat) ).
fof(fact_1067_val_Osimps_I1_J,axiom,
! [Bool_1,Bool] :
( bool(Bool_1) = bool(Bool)
<=> ( hBOOL(Bool_1)
<=> hBOOL(Bool) ) ) ).
fof(fact_1068_val_Osimps_I6_J,axiom,
! [Bool] : unit != bool(Bool) ).
fof(fact_1069_val_Osimps_I7_J,axiom,
! [Bool] : bool(Bool) != unit ).
fof(fact_1070_val_Osimps_I12_J,axiom,
! [Bool] : null != bool(Bool) ).
fof(fact_1071_val_Osimps_I13_J,axiom,
! [Bool] : bool(Bool) != null ).
fof(fact_1072_preallocated__dom,axiom,
! [C,Hb] :
( hBOOL(preallocated(Hb))
=> ( hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,C),sys_xcpts))
=> hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,addr_of_sys_xcpt(C)),dom_na996029170on_val(Hb))) ) ) ).
fof(fact_1073_binop_Osimps_I5_J,axiom,
! [Va,V_2_1] : binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,add),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,bool(Va)),V_2_1))) = none_val ).
fof(fact_1074_preallocatedE,axiom,
! [Pa,C,Hb] :
( hBOOL(preallocated(Hb))
=> ( hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,C),sys_xcpts))
=> ( ! [Fs_1] :
( hAPP_n546249108on_val(Hb,addr_of_sys_xcpt(C)) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_1))
=> hBOOL(hAPP_list_char_bool(hAPP_f388705405r_bool(Pa,Hb),C)) )
=> hBOOL(hAPP_list_char_bool(hAPP_f388705405r_bool(Pa,Hb),C)) ) ) ) ).
fof(fact_1075_preallocatedD,axiom,
! [C,Hb] :
( hBOOL(preallocated(Hb))
=> ( hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,C),sys_xcpts))
=> ? [Fs_1] : hAPP_n546249108on_val(Hb,addr_of_sys_xcpt(C)) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_1)) ) ) ).
fof(fact_1076_preallocated__def,axiom,
! [Hb] :
( hBOOL(preallocated(Hb))
<=> ! [X_1] :
( hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,X_1),sys_xcpts))
=> ? [Fs_1] : hAPP_n546249108on_val(Hb,addr_of_sys_xcpt(X_1)) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,X_1),Fs_1)) ) ) ).
fof(fact_1077_binop_Osimps_I1_J,axiom,
! [V_1_2,V_2_1] : binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,c_Expr_Obop_OEq),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,V_1_2),V_2_1))) = hAPP_val_option_val(some_val,bool(hAPP_val_bool(hAPP_v1392248405l_bool(fequal_val,V_1_2),V_2_1))) ).
fof(fact_1078_WhileFReds,axiom,
! [C_2,B,S,S_2,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,bool(fFalse))),S_2))),transi2024712006on_val(red(Pa))))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,while_list_char(B,C_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,unit)),S_2))),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_1079_WhileCondThrow,axiom,
! [C_2,Pa,Eb,S_0,E_b,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),throw_list_char(E_b)),S_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(Eb,C_2),S_0),throw_list_char(E_b)),S_1)) ) ).
fof(fact_1080_bop_Oexhaust,axiom,
! [Y] :
( is_bop(Y)
=> ( Y != c_Expr_Obop_OEq
=> Y = add ) ) ).
fof(fact_1081_bop_Osimps_I2_J,axiom,
add != c_Expr_Obop_OEq ).
fof(fact_1082_bop_Osimps_I1_J,axiom,
c_Expr_Obop_OEq != add ).
fof(fact_1083_fv__fvs_Osimps_I13_J,axiom,
! [B,Eb] : fv(while_list_char(B,Eb)) = semila919158006r_bool(fv(B),fv(Eb)) ).
fof(fact_1084_WhileT,axiom,
! [E_3,S_3_1,C_2,V_1_2,S_2_1,Pa,Eb,S_0,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,C_2,S_1),hAPP_v834067052t_char(val_list_char,V_1_2)),S_2_1))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(Eb,C_2),S_2_1),E_3),S_3_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(Eb,C_2),S_0),E_3),S_3_1)) ) ) ) ).
fof(fact_1085_WhileBodyThrow,axiom,
! [C_2,E_b,S_2_1,Pa,Eb,S_0,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,C_2,S_1),throw_list_char(E_b)),S_2_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(Eb,C_2),S_0),throw_list_char(E_b)),S_2_1)) ) ) ).
fof(fact_1086_WhileF,axiom,
! [C_2,Pa,Eb,S_0,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,bool(fFalse))),S_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(Eb,C_2),S_0),hAPP_v834067052t_char(val_list_char,unit)),S_1)) ) ).
fof(fact_1087_WhileRedsThrow,axiom,
! [C_2,B,S,Eb,S_2,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S_2))),transi2024712006on_val(red(Pa))))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,while_list_char(B,C_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S_2))),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_1088_WhileTReds,axiom,
! [Eb,S_3_1,C_2,V_1_2,S_2_1,B,S_0,S_1,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1))),transi2024712006on_val(red(Pa))))
=> ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,C_2),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V_1_2)),S_2_1))),transi2024712006on_val(red(Pa))))
=> ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,while_list_char(B,C_2)),S_2_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S_3_1))),transi2024712006on_val(red(Pa))))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,while_list_char(B,C_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S_3_1))),transi2024712006on_val(red(Pa)))) ) ) ) ).
fof(fact_1089_WhileTRedsThrow,axiom,
! [C_2,Eb,S_2_1,B,S_0,S_1,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1))),transi2024712006on_val(red(Pa))))
=> ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,C_2),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S_2_1))),transi2024712006on_val(red(Pa))))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,while_list_char(B,C_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S_2_1))),transi2024712006on_val(red(Pa)))) ) ) ).
fof(fact_1090_eval__cases_I11_J,axiom,
! [Pa,B,C_2,S,E_b,S_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(B,C_2),S),E_b),S_2))
=> ( ( E_b = hAPP_v834067052t_char(val_list_char,unit)
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,B,S),hAPP_v834067052t_char(val_list_char,bool(fFalse))),S_2)) )
=> ( ! [S_1_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,B,S),hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1_1))
=> ! [V_1_1,S_2_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,C_2,S_1_1),hAPP_v834067052t_char(val_list_char,V_1_1)),S_2_2))
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(B,C_2),S_2_2),E_b),S_2)) ) )
=> ( ! [E_1] :
( E_b = throw_list_char(E_1)
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,B,S),throw_list_char(E_1)),S_2)) )
=> ~ ! [S_1_1,E_1] :
( E_b = throw_list_char(E_1)
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,B,S),hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1_1))
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,C_2,S_1_1),throw_list_char(E_1)),S_2)) ) ) ) ) ) ) ).
fof(fact_1091_red__reds_ORedWhile,axiom,
! [B,C_2,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,while_list_char(B,C_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(B,seq_list_char(C_2,while_list_char(B,C_2)),hAPP_v834067052t_char(val_list_char,unit))),S))),red(Pa))) ).
fof(fact_1092_redp__redsp_OCondRed,axiom,
! [E_1_1,E_2,Pa,Eb,S,E_b,S_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_2))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cond_list_char(Eb,E_1_1,E_2),S),cond_list_char(E_b,E_1_1,E_2)),S_2)) ) ).
fof(fact_1093_eval__evals_OCondThrow,axiom,
! [E_1_1,E_2,Pa,Eb,S_0,E_b,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),throw_list_char(E_b)),S_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cond_list_char(Eb,E_1_1,E_2),S_0),throw_list_char(E_b)),S_1)) ) ).
fof(fact_1094_redp__redsp_OCondThrow,axiom,
! [Pa,Eb,E_1_1,E_2,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cond_list_char(throw_list_char(Eb),E_1_1,E_2),S),throw_list_char(Eb)),S)) ).
fof(fact_1095_fv__fvs_Osimps_I12_J,axiom,
! [B,E_1_1,E_2] : fv(cond_list_char(B,E_1_1,E_2)) = semila919158006r_bool(semila919158006r_bool(fv(B),fv(E_1_1)),fv(E_2)) ).
fof(fact_1096_red__reds_OCondRed,axiom,
! [E_1_1,E_2,Eb,S,E_b,S_2,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),red(Pa)))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(Eb,E_1_1,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(E_b,E_1_1,E_2)),S_2))),red(Pa))) ) ).
fof(fact_1097_CondF,axiom,
! [E_1_1,E_2,E_b,S_2_1,Pa,Eb,S_0,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,bool(fFalse))),S_1))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1),E_b),S_2_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cond_list_char(Eb,E_1_1,E_2),S_0),E_b),S_2_1)) ) ) ).
fof(fact_1098_CondT,axiom,
! [E_2,E_1_1,E_b,S_2_1,Pa,Eb,S_0,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_1),E_b),S_2_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cond_list_char(Eb,E_1_1,E_2),S_0),E_b),S_2_1)) ) ) ).
fof(fact_1099_redp__redsp_ORedCondF,axiom,
! [Pa,E_1_1,E_2,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cond_list_char(hAPP_v834067052t_char(val_list_char,bool(fFalse)),E_1_1,E_2),S),E_2),S)) ).
fof(fact_1100_redp__redsp_ORedCondT,axiom,
! [Pa,E_1_1,E_2,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cond_list_char(hAPP_v834067052t_char(val_list_char,bool(fTrue)),E_1_1,E_2),S),E_1_1),S)) ).
fof(fact_1101_red__reds_OCondThrow,axiom,
! [Eb,E_1_1,E_2,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(throw_list_char(Eb),E_1_1,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S))),red(Pa))) ).
fof(fact_1102_CondReds,axiom,
! [E_1_1,E_2,Eb,S,E_b,S_2,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),transi2024712006on_val(red(Pa))))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(Eb,E_1_1,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(E_b,E_1_1,E_2)),S_2))),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_1103_CondRedsThrow,axiom,
! [E_1_1,E_2,Eb,S,A,S_2,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_2))),transi2024712006on_val(red(Pa))))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(Eb,E_1_1,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_2))),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_1104_red__reds_ORedCondT,axiom,
! [E_1_1,E_2,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(hAPP_v834067052t_char(val_list_char,bool(fTrue)),E_1_1,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_1_1),S))),red(Pa))) ).
fof(fact_1105_red__reds_ORedCondF,axiom,
! [E_1_1,E_2,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(hAPP_v834067052t_char(val_list_char,bool(fFalse)),E_1_1,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),S))),red(Pa))) ).
fof(fact_1106_unfold__while,axiom,
! [Pa,B,C_2,S,E_b,S_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(B,C_2),S),E_b),S_2))
<=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cond_list_char(B,seq_list_char(C_2,while_list_char(B,C_2)),hAPP_v834067052t_char(val_list_char,unit)),S),E_b),S_2)) ) ).
fof(fact_1107_redp__redsp_ORedWhile,axiom,
! [Pa,B,C_2,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,while_list_char(B,C_2),S),cond_list_char(B,seq_list_char(C_2,while_list_char(B,C_2)),hAPP_v834067052t_char(val_list_char,unit))),S)) ).
fof(fact_1108_CondReds2T,axiom,
! [E_2,E_1_1,E_b,S_2_1,Eb,S_0,S_1,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1))),transi2024712006on_val(red(Pa))))
=> ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_1_1),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2_1))),transi2024712006on_val(red(Pa))))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(Eb,E_1_1,E_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2_1))),transi2024712006on_val(red(Pa)))) ) ) ).
fof(fact_1109_CondReds2F,axiom,
! [E_1_1,E_2,E_b,S_2_1,Eb,S_0,S_1,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,bool(fFalse))),S_1))),transi2024712006on_val(red(Pa))))
=> ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2_1))),transi2024712006on_val(red(Pa))))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(Eb,E_1_1,E_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2_1))),transi2024712006on_val(red(Pa)))) ) ) ).
fof(fact_1110_ty_Osimps_I20_J,axiom,
! [List] : nt != hAPP_list_char_ty(class,List) ).
fof(fact_1111_ty_Osimps_I21_J,axiom,
! [List] : hAPP_list_char_ty(class,List) != nt ).
fof(fact_1112_ty_Osimps_I7_J,axiom,
nt != void ).
fof(fact_1113_ty_Osimps_I6_J,axiom,
void != nt ).
fof(fact_1114_WTrtFAccNT,axiom,
! [F,D,Ta,Pa,Hb,Ea,Eb] :
( hBOOL(wTrt_1(Pa,Hb,Ea,Eb,nt))
=> hBOOL(wTrt_1(Pa,Hb,Ea,fAcc_list_char(Eb,F,D),Ta)) ) ).
fof(fact_1115_WTrt_H__WTrts_H_Ointros_I9_J,axiom,
! [F,D,Ta,Pa,Hb,Ea,Eb] :
( hBOOL(wTrt(Pa,Hb,Ea,Eb,nt))
=> hBOOL(wTrt(Pa,Hb,Ea,fAcc_list_char(Eb,F,D),Ta)) ) ).
fof(fact_1116_is__refT__def,axiom,
! [Ta] :
( hBOOL(is_refT(Ta))
<=> ( Ta = nt
| ? [C_1] : Ta = hAPP_list_char_ty(class,C_1) ) ) ).
fof(fact_1117_WTrtFAssNT,axiom,
! [F,D,E_2,T_2_2,Pa,Hb,Ea,E_1_1] :
( hBOOL(wTrt_1(Pa,Hb,Ea,E_1_1,nt))
=> ( hBOOL(wTrt_1(Pa,Hb,Ea,E_2,T_2_2))
=> hBOOL(wTrt_1(Pa,Hb,Ea,fAss_list_char(E_1_1,F,D,E_2),void)) ) ) ).
fof(fact_1118_WTrt_H__WTrts_H_Ointros_I11_J,axiom,
! [F,D,E_2,T_2_2,Pa,Hb,Ea,E_1_1] :
( hBOOL(wTrt(Pa,Hb,Ea,E_1_1,nt))
=> ( hBOOL(wTrt(Pa,Hb,Ea,E_2,T_2_2))
=> hBOOL(wTrt(Pa,Hb,Ea,fAss_list_char(E_1_1,F,D,E_2),void)) ) ) ).
fof(fact_1119_typeof__h_Osimps_I2_J,axiom,
! [Hb] : hAPP_val_option_ty(typeof_h(Hb),null) = hAPP_ty_option_ty(some_ty,nt) ).
fof(fact_1120_WTrt__elim__cases_I7_J,axiom,
! [Pa,Hb,Ea,Eb,F,D,Ta] :
( hBOOL(wTrt_1(Pa,Hb,Ea,fAcc_list_char(Eb,F,D),Ta))
=> ( ! [C_1] :
( hBOOL(wTrt_1(Pa,Hb,Ea,Eb,hAPP_list_char_ty(class,C_1)))
=> ~ hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(Pa,C_1,F,Ta),D)) )
=> hBOOL(wTrt_1(Pa,Hb,Ea,Eb,nt)) ) ) ).
fof(fact_1121_WTrt__elim__cases_I8_J,axiom,
! [Pa,Hb,Ea,Eb,F,D,Va,Ta] :
( hBOOL(wTrt_1(Pa,Hb,Ea,fAss_list_char(Eb,F,D,Va),Ta))
=> ( ( Ta = void
=> ! [C_1] :
( hBOOL(wTrt_1(Pa,Hb,Ea,Eb,hAPP_list_char_ty(class,C_1)))
=> ! [T_4] :
( hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(Pa,C_1,F,T_4),D))
=> ! [T_2_1] :
( hBOOL(wTrt_1(Pa,Hb,Ea,Va,T_2_1))
=> ~ hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_2_1),T_4)) ) ) ) )
=> ~ ( Ta = void
=> ( hBOOL(wTrt_1(Pa,Hb,Ea,Eb,nt))
=> ! [T_2_1] : ~ hBOOL(wTrt_1(Pa,Hb,Ea,Va,T_2_1)) ) ) ) ) ).
fof(fact_1122_refTE,axiom,
! [T] :
( hBOOL(is_refT(T))
=> ( T != nt
=> ~ ! [C_1] : T != hAPP_list_char_ty(class,C_1) ) ) ).
fof(fact_1123_eval__cases_I10_J,axiom,
! [Pa,Eb,E_1_1,E_2,S,E_b,S_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cond_list_char(Eb,E_1_1,E_2),S),E_b),S_2))
=> ( ! [S_1_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1_1))
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_1_1),E_b),S_2)) )
=> ( ! [S_1_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),hAPP_v834067052t_char(val_list_char,bool(fFalse))),S_1_1))
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_1),E_b),S_2)) )
=> ~ ! [E_1] :
( E_b = throw_list_char(E_1)
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),throw_list_char(E_1)),S_2)) ) ) ) ) ).
fof(fact_1124_red__reds_ORedNewFail,axiom,
! [C,Lb,Pa,Hb] :
( new_Addr(Hb) = none_nat
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,new_list_char(C)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(outOfMemory))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)))),red(Pa))) ) ).
fof(fact_1125_WTrtNew,axiom,
! [Hb,Ea,Pa,C] :
( hBOOL(hAPP_list_char_bool(is_cla570604648t_char(Pa),C))
=> hBOOL(wTrt_1(Pa,Hb,Ea,new_list_char(C),hAPP_list_char_ty(class,C))) ) ).
fof(fact_1126_WTrt__elim__cases_I10_J,axiom,
! [Pa,Hb,Ea,C,Ta] :
( hBOOL(wTrt_1(Pa,Hb,Ea,new_list_char(C),Ta))
=> ~ ( Ta = hAPP_list_char_ty(class,C)
=> ~ hBOOL(hAPP_list_char_bool(is_cla570604648t_char(Pa),C)) ) ) ).
fof(fact_1127_new__Addr__SomeD,axiom,
! [Hb,A] :
( new_Addr(Hb) = hAPP_nat_option_nat(some_nat,A)
=> hAPP_n546249108on_val(Hb,A) = none_P179726773on_val ) ).
fof(fact_1128_WTrt_H__WTrts_H_Ointros_I1_J,axiom,
! [Hb,Ea,Pa,C] :
( hBOOL(hAPP_list_char_bool(is_cla570604648t_char(Pa),C))
=> hBOOL(wTrt(Pa,Hb,Ea,new_list_char(C),hAPP_list_char_ty(class,C))) ) ).
fof(fact_1129_NewFail,axiom,
! [Pa,C,Lb,Hb] :
( new_Addr(Hb) = none_nat
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,new_list_char(C),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(outOfMemory))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))) ) ).
fof(fact_1130_redp__redsp_ORedNewFail,axiom,
! [Pa,C,Lb,Hb] :
( new_Addr(Hb) = none_nat
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,new_list_char(C),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(outOfMemory))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))) ) ).
fof(fact_1131_red__reds_ORedNew,axiom,
! [Lb,H_b,Pa,C,FDTs,Hb,A] :
( new_Addr(Hb) = hAPP_nat_option_nat(some_nat,A)
=> ( hBOOL(fields1147507508t_char(Pa,C,FDTs))
=> ( H_b = fun_up2041264236on_val(Hb,A,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),init_fields(FDTs))))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,new_list_char(C)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(A))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),Lb)))),red(Pa))) ) ) ) ).
fof(fact_1132_redp__redsp_ORedNew,axiom,
! [Lb,H_b,Pa,C,FDTs,Hb,A] :
( new_Addr(Hb) = hAPP_nat_option_nat(some_nat,A)
=> ( hBOOL(fields1147507508t_char(Pa,C,FDTs))
=> ( H_b = fun_up2041264236on_val(Hb,A,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),init_fields(FDTs))))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,new_list_char(C),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),hAPP_v834067052t_char(val_list_char,addr(A))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),Lb))) ) ) ) ).
fof(fact_1133_New,axiom,
! [Lb,H_b,Pa,C,FDTs,Hb,A] :
( new_Addr(Hb) = hAPP_nat_option_nat(some_nat,A)
=> ( hBOOL(fields1147507508t_char(Pa,C,FDTs))
=> ( H_b = fun_up2041264236on_val(Hb,A,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),init_fields(FDTs))))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,new_list_char(C),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),hAPP_v834067052t_char(val_list_char,addr(A))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),Lb))) ) ) ) ).
fof(fact_1134_red__reds_ORedCallNull,axiom,
! [M,Vs_1,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(hAPP_v834067052t_char(val_list_char,null),M,map_va1934808527t_char(val_list_char,Vs_1))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S))),red(Pa))) ).
fof(fact_1135_redp__redsp_ORedCallNull,axiom,
! [Pa,M,Vs_1,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,call_list_char(hAPP_v834067052t_char(val_list_char,null),M,map_va1934808527t_char(val_list_char,Vs_1)),S),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S)) ).
fof(fact_1136_CallObjThrow,axiom,
! [M,Ps,Pa,Eb,S_0,E_b,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),throw_list_char(E_b)),S_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,call_list_char(Eb,M,Ps),S_0),throw_list_char(E_b)),S_1)) ) ).
fof(fact_1137_redp__redsp_OCallObj,axiom,
! [M,Esa,Pa,Eb,S,E_b,S_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_2))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,call_list_char(Eb,M,Esa),S),call_list_char(E_b,M,Esa)),S_2)) ) ).
fof(fact_1138_redp__redsp_OCallThrowObj,axiom,
! [Pa,Eb,M,Esa,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,call_list_char(throw_list_char(Eb),M,Esa),S),throw_list_char(Eb)),S)) ).
fof(fact_1139_red__reds_OCallObj,axiom,
! [M,Esa,Eb,S,E_b,S_2,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),red(Pa)))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(Eb,M,Esa)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(E_b,M,Esa)),S_2))),red(Pa))) ) ).
fof(fact_1140_red__reds_OCallThrowObj,axiom,
! [Eb,M,Esa,S,Pa] : hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(throw_list_char(Eb),M,Esa)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S))),red(Pa))) ).
fof(fact_1141_CallRedsObj,axiom,
! [M,Esa,Eb,S,E_b,S_2,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),transi2024712006on_val(red(Pa))))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(Eb,M,Esa)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(E_b,M,Esa)),S_2))),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_1142_CallRedsThrowObj,axiom,
! [M,Esa,Eb,S0,A,S_1,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_1))),transi2024712006on_val(red(Pa))))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(Eb,M,Esa)),S0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_1))),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_1143_CallRedsNull,axiom,
! [M,Esa,Vs_1,S_2_1,Eb,S_0,S_1,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),S_1))),transi2024712006on_val(red(Pa))))
=> ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),S_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,map_va1934808527t_char(val_list_char,Vs_1)),S_2_1))),transi374442731on_val(reds(Pa))))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(Eb,M,Esa)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_2_1))),transi2024712006on_val(red(Pa)))) ) ) ).
fof(fact_1144_CallNull,axiom,
! [M,Ps,Vs_1,S_2_1,Pa,Eb,S_0,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,null)),S_1))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Ps,S_1),map_va1934808527t_char(val_list_char,Vs_1)),S_2_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,call_list_char(Eb,M,Ps),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_2_1)) ) ) ).
fof(fact_1145_extend__1__evals,axiom,
! [Es_a,T_3,Esa,T_2,Es_1,T_1,Pa] :
( hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa))
=> ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),T_2)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_1),T_1))),reds(Pa)))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Es_1,T_1),Es_a),T_3))
=> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,T_2),Es_a),T_3)) ) ) ) ).
fof(fact_1146_extend__evals,axiom,
! [Es_a,S_2,Esa,S,Es_1,S_3,Pa] :
( hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa))
=> ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),S)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_1),S_3))),transi374442731on_val(reds(Pa))))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Es_1,S_3),Es_a),S_2))
=> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,S),Es_a),S_2)) ) ) ) ).
fof(fact_1147_bigs__by__smalls,axiom,
! [Esa,S,Es_a,S_2,Pa] :
( hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,S),Es_a),S_2))
=> hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),S)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_a),S_2))),transi374442731on_val(reds(Pa)))) ) ) ).
fof(fact_1148_evals__hext,axiom,
! [Pa,Esa,Hb,Lb,Es_a,H_b,L_b] :
( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),Es_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))
=> hBOOL(hext(Hb,H_b)) ) ).
fof(fact_1149_reds__hext__incr,axiom,
! [Esa,Hb,Lb,Es_a,H_b,L_b,Pa] :
( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))),reds(Pa)))
=> hBOOL(hext(Hb,H_b)) ) ).
fof(fact_1150_evals__lcl__incr,axiom,
! [Pa,Esa,H_0,L_0,Es_a,H_1,L_1_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_0),L_0)),Es_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1),L_1_1)))
=> hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(dom_list_char_val(L_0)),dom_list_char_val(L_1_1))) ) ).
fof(fact_1151_red__reds_OCallParams,axiom,
! [Va,M,Esa,S,Es_a,S_2,Pa] :
( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),S)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_a),S_2))),reds(Pa)))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(hAPP_v834067052t_char(val_list_char,Va),M,Esa)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(hAPP_v834067052t_char(val_list_char,Va),M,Es_a)),S_2))),red(Pa))) ) ).
fof(fact_1152_CallRedsParams,axiom,
! [Va,M,Esa,S,Es_a,S_2,Pa] :
( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),S)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_a),S_2))),transi374442731on_val(reds(Pa))))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(hAPP_v834067052t_char(val_list_char,Va),M,Esa)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(hAPP_v834067052t_char(val_list_char,Va),M,Es_a)),S_2))),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_1153_CallRedsThrowParams,axiom,
! [M,Esa,Vs_1_1,A,Es_2,S_2_1,Eb,S0,Va,S_1,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,Va)),S_1))),transi2024712006on_val(red(Pa))))
=> ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),S_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,append_exp_list_char(map_va1934808527t_char(val_list_char,Vs_1_1),cons_exp_list_char(throw_list_char(A),Es_2))),S_2_1))),transi374442731on_val(reds(Pa))))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(Eb,M,Esa)),S0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_2_1))),transi2024712006on_val(red(Pa)))) ) ) ).
fof(fact_1154_fv__fvs_Osimps_I9_J,axiom,
! [Eb,M,Esa] : fv(call_list_char(Eb,M,Esa)) = semila919158006r_bool(fv(Eb),fvs(Esa)) ).
fof(fact_1155_fv__fvs_Osimps_I17_J,axiom,
! [Eb,Esa] : fvs(cons_exp_list_char(Eb,Esa)) = semila919158006r_bool(fv(Eb),fvs(Esa)) ).
fof(fact_1156_eval__evals_OCons,axiom,
! [Esa,Es_a,S_2_1,Pa,Eb,S_0,Va,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,Va)),S_1))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,S_1),Es_a),S_2_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,cons_exp_list_char(Eb,Esa),S_0),cons_exp_list_char(hAPP_v834067052t_char(val_list_char,Va),Es_a)),S_2_1)) ) ) ).
fof(fact_1157_ConsThrow,axiom,
! [Esa,Pa,Eb,S_0,E_b,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),throw_list_char(E_b)),S_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,cons_exp_list_char(Eb,Esa),S_0),cons_exp_list_char(throw_list_char(E_b),Esa)),S_1)) ) ).
fof(fact_1158_red__reds_OListRed2,axiom,
! [Va,Esa,S,Es_a,S_2,Pa] :
( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),S)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_a),S_2))),reds(Pa)))
=> hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(hAPP_v834067052t_char(val_list_char,Va),Esa)),S)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(hAPP_v834067052t_char(val_list_char,Va),Es_a)),S_2))),reds(Pa))) ) ).
fof(fact_1159_redp__redsp_OCallThrowParams,axiom,
! [Pa,Va,M,S,Esa,Vs_1,Eb,Es_a] :
( Esa = append_exp_list_char(map_va1934808527t_char(val_list_char,Vs_1),cons_exp_list_char(throw_list_char(Eb),Es_a))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,call_list_char(hAPP_v834067052t_char(val_list_char,Va),M,Esa),S),throw_list_char(Eb)),S)) ) ).
fof(fact_1160_list__eval__Throw,axiom,
! [Vs_1,Es_a,Pa,X_2,S,E_b,S_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,throw_list_char(X_2),S),E_b),S_2))
=> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,append_exp_list_char(map_va1934808527t_char(val_list_char,Vs_1),cons_exp_list_char(throw_list_char(X_2),Es_a)),S),append_exp_list_char(map_va1934808527t_char(val_list_char,Vs_1),cons_exp_list_char(E_b,Es_a))),S_2)) ) ).
fof(fact_1161_ListReds2,axiom,
! [Va,Esa,S,Es_a,S_2,Pa] :
( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),S)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_a),S_2))),transi374442731on_val(reds(Pa))))
=> hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(hAPP_v834067052t_char(val_list_char,Va),Esa)),S)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(hAPP_v834067052t_char(val_list_char,Va),Es_a)),S_2))),transi374442731on_val(reds(Pa)))) ) ).
fof(fact_1162_red__reds_OListRed1,axiom,
! [Esa,Eb,S,E_b,S_2,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),red(Pa)))
=> hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(Eb,Esa)),S)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(E_b,Esa)),S_2))),reds(Pa))) ) ).
fof(fact_1163_CallParamsThrow,axiom,
! [M,Esa,Vs_1,Ex,Es_a,S_2_1,Pa,Eb,S_0,Va,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,Va)),S_1))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,S_1),append_exp_list_char(map_va1934808527t_char(val_list_char,Vs_1),cons_exp_list_char(throw_list_char(Ex),Es_a))),S_2_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,call_list_char(Eb,M,Esa),S_0),throw_list_char(Ex)),S_2_1)) ) ) ).
fof(fact_1164_red__reds_OCallThrowParams,axiom,
! [Va,M,S,Pa,Esa,Vs_1,Eb,Es_a] :
( Esa = append_exp_list_char(map_va1934808527t_char(val_list_char,Vs_1),cons_exp_list_char(throw_list_char(Eb),Es_a))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(hAPP_v834067052t_char(val_list_char,Va),M,Esa)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S))),red(Pa))) ) ).
fof(fact_1165_ListReds1,axiom,
! [Esa,Eb,S,E_b,S_2,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2))),transi2024712006on_val(red(Pa))))
=> hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(Eb,Esa)),S)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(E_b,Esa)),S_2))),transi374442731on_val(reds(Pa)))) ) ).
fof(fact_1166_ListRedsVal,axiom,
! [Esa,Es_a,S_2_1,Eb,S_0,Va,S_1,Pa] :
( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,Va)),S_1))),transi2024712006on_val(red(Pa))))
=> ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),S_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_a),S_2_1))),transi374442731on_val(reds(Pa))))
=> hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(Eb,Esa)),S_0)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(hAPP_v834067052t_char(val_list_char,Va),Es_a)),S_2_1))),transi374442731on_val(reds(Pa)))) ) ) ).
fof(fact_1167_evals__cases_I2_J,axiom,
! [Pa,Eb,Esa,S,E_b,S_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,cons_exp_list_char(Eb,Esa),S),E_b),S_2))
=> ( ! [V_2,S_1_1,Es] :
( E_b = cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V_2),Es)
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),hAPP_v834067052t_char(val_list_char,V_2)),S_1_1))
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,S_1_1),Es),S_2)) ) )
=> ~ ! [E_1] :
( E_b = cons_exp_list_char(throw_list_char(E_1),Esa)
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),throw_list_char(E_1)),S_2)) ) ) ) ).
fof(fact_1168_evals__final,axiom,
! [Pa,Esa,S,Es_a,S_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,S),Es_a),S_2))
=> hBOOL(finals_list_char(Es_a)) ) ).
fof(fact_1169_eval__finalsId,axiom,
! [Pa,S,Esa] :
( hBOOL(finals_list_char(Esa))
=> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,S),Esa),S)) ) ).
fof(fact_1170_reds__preserves__sconf,axiom,
! [Ea,Ts,Esa,S,Es_a,S_2,Pa] :
( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),S)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_a),S_2))),reds(Pa)))
=> ( hBOOL(wTrts_1(Pa,hp(S),Ea,Esa,Ts))
=> ( hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(Pa,Ea),S))
=> hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(Pa,Ea),S_2)) ) ) ) ).
fof(fact_1171_WTrtCons,axiom,
! [Esa,Ts,Pa,Hb,Ea,Eb,Ta] :
( hBOOL(wTrt_1(Pa,Hb,Ea,Eb,Ta))
=> ( hBOOL(wTrts_1(Pa,Hb,Ea,Esa,Ts))
=> hBOOL(wTrts_1(Pa,Hb,Ea,cons_exp_list_char(Eb,Esa),cons_ty(Ta,Ts))) ) ) ).
fof(fact_1172_WTrts__hext__mono,axiom,
! [H_b,Pa,Hb,Ea,Esa,Ts] :
( hBOOL(wTrts_1(Pa,Hb,Ea,Esa,Ts))
=> ( hBOOL(hext(Hb,H_b))
=> hBOOL(wTrts_1(Pa,H_b,Ea,Esa,Ts)) ) ) ).
fof(fact_1173_WTrtCallNT,axiom,
! [M,Ta,Esa,Ts,Pa,Hb,Ea,Eb] :
( hBOOL(wTrt_1(Pa,Hb,Ea,Eb,nt))
=> ( hBOOL(wTrts_1(Pa,Hb,Ea,Esa,Ts))
=> hBOOL(wTrt_1(Pa,Hb,Ea,call_list_char(Eb,M,Esa),Ta)) ) ) ).
fof(fact_1174_WTrts__Val,axiom,
! [Pa,Hb,Ea,Vs_1,Ts] :
( hBOOL(wTrts_1(Pa,Hb,Ea,map_va1934808527t_char(val_list_char,Vs_1),Ts))
<=> map_val_option_ty(typeof_h(Hb),Vs_1) = map_ty_option_ty(some_ty,Ts) ) ).
fof(fact_1175_reds__preserves__hconf,axiom,
! [Ea,Ts,Esa,Hb,Lb,Es_a,H_b,L_b,Pa] :
( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))),reds(Pa)))
=> ( hBOOL(wTrts_1(Pa,Hb,Ea,Esa,Ts))
=> ( hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(Pa),Hb))
=> hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(Pa),H_b)) ) ) ) ).
fof(fact_1176_reds__preserves__lconf,axiom,
! [Ea,Ts,Esa,Hb,Lb,Es_a,H_b,L_b,Pa] :
( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))),reds(Pa)))
=> ( hBOOL(wTrts_1(Pa,Hb,Ea,Esa,Ts))
=> ( hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),Hb),Lb),Ea))
=> hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),H_b),L_b),Ea)) ) ) ) ).
fof(fact_1177_redsp__reds__eq,axiom,
! [Pa,X_1,Xa,Xb,Xc] :
( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(redsp(Pa,X_1,Xa),Xb),Xc))
<=> hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,X_1),Xa)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Xb),Xc))),reds(Pa))) ) ).
fof(fact_1178_blocks_Osimps_I1_J,axiom,
! [V_1,Vs_3,T,Ts_3,V,Vs_2,E] : blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,cons_list_char(V_1,Vs_3)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,cons_ty(T,Ts_3)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,cons_val(V,Vs_2)),E)))) = block_list_char(V_1,T,seq_list_char(lAss_list_char(V_1,hAPP_v834067052t_char(val_list_char,V)),blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Vs_3),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Ts_3),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Vs_2),E)))))) ).
fof(fact_1179_redp__redsp_OListRed2,axiom,
! [Va,Pa,Esa,S,Es_a,S_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(redsp(Pa,Esa,S),Es_a),S_2))
=> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(redsp(Pa,cons_exp_list_char(hAPP_v834067052t_char(val_list_char,Va),Esa),S),cons_exp_list_char(hAPP_v834067052t_char(val_list_char,Va),Es_a)),S_2)) ) ).
fof(fact_1180_redp__redsp_OListRed1,axiom,
! [Esa,Pa,Eb,S,E_b,S_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_2))
=> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(redsp(Pa,cons_exp_list_char(Eb,Esa),S),cons_exp_list_char(E_b,Esa)),S_2)) ) ).
fof(fact_1181_redp__redsp_OCallParams,axiom,
! [Va,M,Pa,Esa,S,Es_a,S_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(redsp(Pa,Esa,S),Es_a),S_2))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,call_list_char(hAPP_v834067052t_char(val_list_char,Va),M,Esa),S),call_list_char(hAPP_v834067052t_char(val_list_char,Va),M,Es_a)),S_2)) ) ).
fof(fact_1182_wf__J__prog__wf__J__mdecl,axiom,
! [Jmdcl,C,D,Fds,Mths,Pa] :
( hBOOL(wf_pro755087577t_char(wf_J_mdecl,Pa))
=> ( hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,C),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,D),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Fds),Mths)))),set_Pr1494163115t_char(Pa)))
=> ( hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,Jmdcl),set_Pr2033386304t_char(Mths)))
=> hBOOL(hAPP_P1384137393r_bool(hAPP_l2054741776r_bool(hAPP_l2138409430r_bool(wf_J_mdecl,Pa),C),Jmdcl)) ) ) ) ).
fof(fact_1183_CallRedsFinal,axiom,
! [Ef,H_3,L_3,L_2_1,M,Ts,Ta,Pns,Body,D,C,Fs,Esa,Vs_1,H_2,L_2,Eb,S_0,A,S_1,Pa] :
( hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa))
=> ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(A))),S_1))),transi2024712006on_val(red(Pa))))
=> ( hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),S_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,map_va1934808527t_char(val_list_char,Vs_1)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),L_2)))),transi374442731on_val(reds(Pa))))
=> ( hAPP_n546249108on_val(H_2,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs))
=> ( hBOOL(hAPP_list_char_bool(method1809630380t_char(Pa,C,M,Ts,Ta,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Pns),Body)),D))
=> ( size_size_list_val(Vs_1) = size_s2113983095t_char(Pns)
=> ( L_2_1 = map_up1085636310ar_val(fun_up1149430426on_val(hAPP_o538043682on_val(cOMBK_1097134891t_char,none_val),this,hAPP_val_option_val(some_val,addr(A))),Pns,Vs_1)
=> ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Body),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),L_2_1))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ef),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_3),L_3)))),transi2024712006on_val(red(Pa))))
=> ( hBOOL(final_list_char(Ef))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(Eb,M,Esa)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ef),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_3),L_2)))),transi2024712006on_val(red(Pa)))) ) ) ) ) ) ) ) ) ) ).
fof(fact_1184_Call,axiom,
! [E_b,H_3,L_3,L_2_1,M,Ts,Ta,Pns,Body,D,C,Fs,Ps,Vs_1,H_2,L_2,Pa,Eb,S_0,A,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,addr(A))),S_1))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Ps,S_1),map_va1934808527t_char(val_list_char,Vs_1)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),L_2)))
=> ( hAPP_n546249108on_val(H_2,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs))
=> ( hBOOL(hAPP_list_char_bool(method1809630380t_char(Pa,C,M,Ts,Ta,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Pns),Body)),D))
=> ( size_size_list_val(Vs_1) = size_s2113983095t_char(Pns)
=> ( L_2_1 = map_up1085636310ar_val(fun_up1149430426on_val(hAPP_o538043682on_val(cOMBK_1097134891t_char,none_val),this,hAPP_val_option_val(some_val,addr(A))),Pns,Vs_1)
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Body,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),L_2_1)),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_3),L_3)))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,call_list_char(Eb,M,Ps),S_0),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_3),L_2))) ) ) ) ) ) ) ) ).
fof(fact_1185_red__reds_ORedCall,axiom,
! [Vs_1,Pa,M,Ts,Ta,Pns,Body,D,S,A,C,Fs] :
( hAPP_n546249108on_val(hp(S),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs))
=> ( hBOOL(hAPP_list_char_bool(method1809630380t_char(Pa,C,M,Ts,Ta,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Pns),Body)),D))
=> ( size_size_list_val(Vs_1) = size_s2113983095t_char(Pns)
=> ( size_size_list_ty(Ts) = size_s2113983095t_char(Pns)
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(hAPP_v834067052t_char(val_list_char,addr(A)),M,map_va1934808527t_char(val_list_char,Vs_1))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,cons_list_char(this,Pns)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,cons_ty(hAPP_list_char_ty(class,D),Ts)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,cons_val(addr(A),Vs_1)),Body))))),S))),red(Pa))) ) ) ) ) ).
fof(fact_1186_redp__redsp_ORedCall,axiom,
! [Vs_1,Pa,M,Ts,Ta,Pns,Body,D,S,A,C,Fs] :
( hAPP_n546249108on_val(hp(S),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs))
=> ( hBOOL(hAPP_list_char_bool(method1809630380t_char(Pa,C,M,Ts,Ta,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Pns),Body)),D))
=> ( size_size_list_val(Vs_1) = size_s2113983095t_char(Pns)
=> ( size_size_list_ty(Ts) = size_s2113983095t_char(Pns)
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,call_list_char(hAPP_v834067052t_char(val_list_char,addr(A)),M,map_va1934808527t_char(val_list_char,Vs_1)),S),blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,cons_list_char(this,Pns)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,cons_ty(hAPP_list_char_ty(class,D),Ts)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,cons_val(addr(A),Vs_1)),Body))))),S)) ) ) ) ) ).
fof(fact_1187_WTrts__same__length,axiom,
! [Pa,Hb,Ea,Esa,Ts] :
( hBOOL(wTrts_1(Pa,Hb,Ea,Esa,Ts))
=> size_s1143674878t_char(Esa) = size_size_list_ty(Ts) ) ).
fof(fact_1188_blocksFinal,axiom,
! [Hb,Lb,Pa,Eb,Vs_1,Vs,Ts] :
( size_s2113983095t_char(Vs) = size_size_list_ty(Ts)
=> ( size_size_list_val(Vs_1) = size_size_list_ty(Ts)
=> ( hBOOL(final_list_char(Eb))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Vs),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Ts),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Vs_1),Eb))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)))),transi2024712006on_val(red(Pa)))) ) ) ) ).
fof(fact_1189_blocksEval,axiom,
! [Pa,Eb,Hb,Lb,E_b,H_b,L_b,Vs_1,Ps,Ts] :
( size_s2113983095t_char(Ps) = size_size_list_ty(Ts)
=> ( size_s2113983095t_char(Ps) = size_size_list_val(Vs_1)
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Ps),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Ts),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Vs_1),Eb)))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))
=> ? [L_1] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),map_up1085636310ar_val(Lb,Ps,Vs_1))),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_1))) ) ) ) ).
fof(fact_1190_wt__blocks,axiom,
! [Pa,Hb,Ea,Eb,Ta,Vs_1,Vs,Ts] :
( size_s2113983095t_char(Vs) = size_size_list_ty(Ts)
=> ( size_size_list_val(Vs_1) = size_size_list_ty(Ts)
=> ( hBOOL(wTrt_1(Pa,Hb,Ea,blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Vs),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Ts),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Vs_1),Eb)))),Ta))
<=> ( hBOOL(wTrt_1(Pa,Hb,map_up891053837har_ty(Ea,Vs,Ts),Eb,Ta))
& ? [Ts_2] :
( map_val_option_ty(typeof_h(Hb),Vs_1) = map_ty_option_ty(some_ty,Ts_2)
& hBOOL(list_all2_ty_ty(widen_2090681816t_char(Pa),Ts_2,Ts)) ) ) ) ) ) ).
fof(fact_1191_WTrtCall,axiom,
! [Esa,Ts_1,M,Ts,Ta,Pns,Body,D,Pa,Hb,Ea,Eb,C] :
( hBOOL(wTrt_1(Pa,Hb,Ea,Eb,hAPP_list_char_ty(class,C)))
=> ( hBOOL(hAPP_list_char_bool(method1809630380t_char(Pa,C,M,Ts,Ta,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Pns),Body)),D))
=> ( hBOOL(wTrts_1(Pa,Hb,Ea,Esa,Ts_1))
=> ( hBOOL(list_all2_ty_ty(widen_2090681816t_char(Pa),Ts_1,Ts))
=> hBOOL(wTrt_1(Pa,Hb,Ea,call_list_char(Eb,M,Esa),Ta)) ) ) ) ) ).
fof(fact_1192_WTrt_H__WTrts_H_Ointros_I12_J,axiom,
! [Esa,Ts_1,M,Ts,Ta,Pns,Body,D,Pa,Hb,Ea,Eb,C] :
( hBOOL(wTrt(Pa,Hb,Ea,Eb,hAPP_list_char_ty(class,C)))
=> ( hBOOL(hAPP_list_char_bool(method1809630380t_char(Pa,C,M,Ts,Ta,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Pns),Body)),D))
=> ( hBOOL(wTrts(Pa,Hb,Ea,Esa,Ts_1))
=> ( hBOOL(list_all2_ty_ty(widen_2090681816t_char(Pa),Ts_1,Ts))
=> hBOOL(wTrt(Pa,Hb,Ea,call_list_char(Eb,M,Esa),Ta)) ) ) ) ) ).
fof(fact_1193_wts_H__iff__wts,axiom,
! [Pa,Hb,Ea,Esa,Ts] :
( hBOOL(wTrts(Pa,Hb,Ea,Esa,Ts))
<=> hBOOL(wTrts_1(Pa,Hb,Ea,Esa,Ts)) ) ).
fof(fact_1194_wts_H__wts,axiom,
! [Pa,Hb,Ea,Esa,Ts] :
( hBOOL(wTrts(Pa,Hb,Ea,Esa,Ts))
=> hBOOL(wTrts_1(Pa,Hb,Ea,Esa,Ts)) ) ).
fof(fact_1195_wts__wts_H,axiom,
! [Pa,Hb,Ea,Esa,Ts] :
( hBOOL(wTrts_1(Pa,Hb,Ea,Esa,Ts))
=> hBOOL(wTrts(Pa,Hb,Ea,Esa,Ts)) ) ).
fof(fact_1196_WTrt_H__WTrts_H_Ointros_I13_J,axiom,
! [M,Ta,Esa,Ts,Pa,Hb,Ea,Eb] :
( hBOOL(wTrt(Pa,Hb,Ea,Eb,nt))
=> ( hBOOL(wTrts(Pa,Hb,Ea,Esa,Ts))
=> hBOOL(wTrt(Pa,Hb,Ea,call_list_char(Eb,M,Esa),Ta)) ) ) ).
fof(fact_1197_WTrt_H__WTrts_H_Ointros_I15_J,axiom,
! [Esa,Ts,Pa,Hb,Ea,Eb,Ta] :
( hBOOL(wTrt(Pa,Hb,Ea,Eb,Ta))
=> ( hBOOL(wTrts(Pa,Hb,Ea,Esa,Ts))
=> hBOOL(wTrts(Pa,Hb,Ea,cons_exp_list_char(Eb,Esa),cons_ty(Ta,Ts))) ) ) ).
fof(fact_1198_blocksRedsFinal,axiom,
! [L,Eb,Hb,Lb,E_b,H_b,L_b,Pa,Vs_1,Vs,Ts] :
( size_s2113983095t_char(Vs) = size_size_list_ty(Ts)
=> ( size_size_list_val(Vs_1) = size_size_list_ty(Ts)
=> ( hBOOL(distinct_list_char(Vs))
=> ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),map_up1085636310ar_val(Lb,Vs,Vs_1)))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))),transi2024712006on_val(red(Pa))))
=> ( hBOOL(final_list_char(E_b))
=> ( L = overri2012515291on_val(L_b,Lb,set_list_char(Vs))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Vs),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Ts),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Vs_1),Eb))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L)))),transi2024712006on_val(red(Pa)))) ) ) ) ) ) ) ).
fof(fact_1199_blocksReds,axiom,
! [Eb,Hb,Lb,E_b,H_b,L_b,Pa,Vs_1,Vs,Ts] :
( size_s2113983095t_char(Vs) = size_size_list_ty(Ts)
=> ( size_size_list_val(Vs_1) = size_size_list_ty(Ts)
=> ( hBOOL(distinct_list_char(Vs))
=> ( hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),map_up1085636310ar_val(Lb,Vs,Vs_1)))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))),transi2024712006on_val(red(Pa))))
=> hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Vs),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Ts),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Vs_1),Eb))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Vs),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Ts),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,map_list_char_val(comp_o1129292306t_char(the_val,L_b),Vs)),E_b))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),overri2012515291on_val(L_b,Lb,set_list_char(Vs)))))),transi2024712006on_val(red(Pa)))) ) ) ) ) ).
%----Helper facts (149)
fof(help_fNot_1_1_U,axiom,
! [P] :
( ~ hBOOL(hAPP_bool_bool(fNot,P))
| ~ hBOOL(P) ) ).
fof(help_fNot_2_1_U,axiom,
! [P] :
( hBOOL(P)
| hBOOL(hAPP_bool_bool(fNot,P)) ) ).
fof(help_fTrue_1_1_U,axiom,
hBOOL(fTrue) ).
fof(help_fTrue_1_1_T,axiom,
! [P] :
( is_bool(P)
=> ( P = fTrue
| P = fFalse ) ) ).
fof(help_fconj_1_1_U,axiom,
! [Q,P] :
( ~ hBOOL(P)
| ~ hBOOL(Q)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q)) ) ).
fof(help_fconj_2_1_U,axiom,
! [P,Q] :
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q))
| hBOOL(P) ) ).
fof(help_fconj_3_1_U,axiom,
! [P,Q] :
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q))
| hBOOL(Q) ) ).
fof(help_fdisj_1_1_U,axiom,
! [Q,P] :
( ~ hBOOL(P)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,P),Q)) ) ).
fof(help_fdisj_2_1_U,axiom,
! [P,Q] :
( ~ hBOOL(Q)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,P),Q)) ) ).
fof(help_fdisj_3_1_U,axiom,
! [P,Q] :
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,P),Q))
| hBOOL(P)
| hBOOL(Q) ) ).
fof(help_fFalse_1_1_U,axiom,
~ hBOOL(fFalse) ).
fof(help_fFalse_1_1_T,axiom,
! [P] :
( is_bool(P)
=> ( P = fTrue
| P = fFalse ) ) ).
fof(help_fequal_1_1_fequal_000tc__Value__Oval_T,axiom,
! [X,Y] :
( ~ hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(fequal_val,X),Y))
| X = Y ) ).
fof(help_fequal_2_1_fequal_000tc__Value__Oval_T,axiom,
! [X,Y] :
( X != Y
| hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(fequal_val,X),Y)) ) ).
fof(help_fequal_1_1_fequal_000tc__Option__Ooption_Itc__Value__Oval_J_T,axiom,
! [X,Y] :
( ~ hBOOL(hAPP_option_val_bool(hAPP_o586881855l_bool(fequal_option_val,X),Y))
| X = Y ) ).
fof(help_fequal_2_1_fequal_000tc__Option__Ooption_Itc__Value__Oval_J_T,axiom,
! [X,Y] :
( X != Y
| hBOOL(hAPP_option_val_bool(hAPP_o586881855l_bool(fequal_option_val,X),Y)) ) ).
fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Nat__Onat_U,axiom,
! [P,Q,R] : hAPP_nat_bool(hAPP_f800510211t_bool(hAPP_f894608603t_bool(cOMBB_bool_bool_nat,P),Q),R) = hAPP_bool_bool(P,hAPP_nat_bool(Q,R)) ).
fof(help_COMBS_1_1_COMBS_000tc__Nat__Onat_000tc__HOL__Obool_000tc__HOL__Obool_U,axiom,
! [P,Q,R] : hAPP_nat_bool(cOMBS_nat_bool_bool(P,Q),R) = hAPP_bool_bool(hAPP_n1006566506l_bool(P,R),hAPP_nat_bool(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__List__Olist_Itc_,axiom,
! [P,Q,R] : hAPP_list_char_bool(hAPP_f1371002581r_bool(hAPP_f1861125939r_bool(cOMBB_1091123364t_char,P),Q),R) = hAPP_bool_bool(P,hAPP_list_char_bool(Q,R)) ).
fof(help_COMBS_1_1_COMBS_000tc__List__Olist_Itc__String__Ochar_J_000tc__HOL__Obool_0,axiom,
! [P,Q,R] : hAPP_list_char_bool(cOMBS_1502238389l_bool(P,Q),R) = hAPP_bool_bool(hAPP_l2010421276l_bool(P,R),hAPP_list_char_bool(Q,R)) ).
fof(help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_,axiom,
! [P,Q,R] : hAPP_nat_bool(hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,P),Q),R) = hAPP_f54304608l_bool(hAPP_n215258509l_bool(P,R),Q) ).
fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo,axiom,
! [P,Q,R] : hAPP_n1006566506l_bool(hAPP_f1146629647l_bool(hAPP_f1080886329l_bool(cOMBB_1015721476ol_nat,P),Q),R) = hAPP_b589554111l_bool(P,hAPP_nat_bool(Q,R)) ).
fof(help_COMBK_1_1_COMBK_000tc__Option__Ooption_Itc__Type__Oty_J_000tc__List__Olist_,axiom,
! [P,Q] : hAPP_l512744617ion_ty(hAPP_o1240645474ion_ty(cOMBK_1294242658t_char,P),Q) = P ).
fof(help_COMBK_1_1_COMBK_000tc__Option__Ooption_Itc__Value__Oval_J_000tc__List__Olis,axiom,
! [P,Q] : hAPP_l207779698on_val(hAPP_o538043682on_val(cOMBK_1097134891t_char,P),Q) = P ).
fof(help_COMBB_1_1_COMBB_000tc__Type__Oty_000tc__Option__Ooption_Itc__Type__Oty_J_00,axiom,
! [P,Q,R] : hAPP_l512744617ion_ty(hAPP_f359949478ion_ty(hAPP_f1243585741ion_ty(cOMBB_1888336841t_char,P),Q),R) = hAPP_ty_option_ty(P,hAPP_list_char_ty(Q,R)) ).
fof(help_COMBC_1_1_COMBC_000tc__List__Olist_Itc__String__Ochar_J_000tc__Option__Oopt,axiom,
! [P,Q,R] : hAPP_list_char_bool(hAPP_o453398608r_bool(hAPP_f399018025r_bool(cOMBC_442485623l_bool,P),Q),R) = hAPP_option_val_bool(hAPP_l1646953198l_bool(P,R),Q) ).
fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_033,axiom,
! [P,Q,R] : hAPP_l2010421276l_bool(hAPP_f1163760061l_bool(hAPP_f1157863905l_bool(cOMBB_984708934t_char,P),Q),R) = hAPP_b589554111l_bool(P,hAPP_list_char_bool(Q,R)) ).
fof(help_COMBC_1_1_COMBC_000tc__Value__Oval_000tc__fun_Itc__prod_Itc__Value__Oval_Mt,axiom,
! [P,Q,R] : hAPP_val_bool(hAPP_f1728541444l_bool(hAPP_f1764548711l_bool(cOMBC_331963401l_bool,P),Q),R) = hAPP_f2028441009l_bool(hAPP_v3604996l_bool(P,R),Q) ).
fof(help_COMBC_1_1_COMBC_000tc__List__Olist_Itc__String__Ochar_J_000tc__fun_Itc__Lis,axiom,
! [P,Q,R] : hAPP_list_char_bool(hAPP_f1371002581r_bool(hAPP_f522372661r_bool(cOMBC_892477410l_bool,P),Q),R) = hAPP_f986089162l_bool(hAPP_l1903254203l_bool(P,R),Q) ).
fof(help_COMBS_1_1_COMBS_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List,axiom,
! [P,Q,R] : hAPP_P449474095r_bool(cOMBS_350755140l_bool(P,Q),R) = hAPP_bool_bool(hAPP_P1457625805l_bool(P,R),hAPP_P449474095r_bool(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_Itc__List__O,axiom,
! [P,Q,R] : hAPP_f1033709212l_bool(hAPP_f1074020887l_bool(hAPP_f1863694447l_bool(cOMBB_383678192on_val,P),Q),R) = hAPP_bool_bool(P,hAPP_f1033709212l_bool(Q,R)) ).
fof(help_COMBK_1_1_COMBK_000tc__Option__Ooption_Itc__Value__Oval_J_000tc__prod_Itc__,axiom,
! [P,Q] : hAPP_P2094403585on_val(hAPP_o1269033393on_val(cOMBK_1867744698t_char,P),Q) = P ).
fof(help_COMBC_1_1_COMBC_000tc__Value__Oval_000tc__fun_Itc__prod_Itc__Value__Oval_Mt_034,axiom,
! [P,Q,R] : hAPP_v1392248405l_bool(hAPP_f198821591l_bool(hAPP_f1880802701l_bool(cOMBC_1979963740l_bool,P),Q),R) = hAPP_f1728541444l_bool(hAPP_v1988122071l_bool(P,R),Q) ).
fof(help_COMBB_1_1_COMBB_000tc__Option__Ooption_Itc__Value__Oval_J_000tc__fun_Itc__O,axiom,
! [P,Q,R] : hAPP_l1646953198l_bool(hAPP_f396807521l_bool(hAPP_f926979333l_bool(cOMBB_1112666310t_char,P),Q),R) = hAPP_o586881855l_bool(P,hAPP_l207779698on_val(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_035,axiom,
! [P,Q,R] : hAPP_P1457625805l_bool(hAPP_f644972157l_bool(hAPP_f722872225l_bool(cOMBB_1643767893t_char,P),Q),R) = hAPP_b589554111l_bool(P,hAPP_P449474095r_bool(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__Value__Oval_Mtc__Value__Oval_J_000tc__fun_,axiom,
! [P,Q,R] : hAPP_v3604996l_bool(hAPP_f1394668591l_bool(hAPP_f183649339l_bool(cOMBB_2078984970ol_val,P),Q),R) = hAPP_P530382601l_bool(P,hAPP_v852496844al_val(Q,R)) ).
fof(help_COMBC_1_1_COMBC_000tc__prod_Itc__Value__Oval_Mtc__Value__Oval_J_000tc__fun_,axiom,
! [P,Q,R] : hAPP_P929938951l_bool(hAPP_f1335946228l_bool(hAPP_f263393637l_bool(cOMBC_813705475l_bool,P),Q),R) = hAPP_f742333458l_bool(hAPP_P1614880106l_bool(P,R),Q) ).
fof(help_COMBC_1_1_COMBC_000tc__List__Olist_Itc__String__Ochar_J_000tc__fun_Itc__pro,axiom,
! [P,Q,R] : hAPP_list_char_bool(hAPP_f335969926r_bool(hAPP_f1367982615r_bool(cOMBC_1603044337l_bool,P),Q),R) = hAPP_f2106398425l_bool(hAPP_l553007690l_bool(P,R),Q) ).
fof(help_COMBK_1_1_COMBK_000tc__Option__Ooption_Itc__Type__Oty_J_000tc__fun_Itc__pro,axiom,
! [P,Q] : hAPP_f652398900ion_ty(hAPP_o534509643ion_ty(cOMBK_184479553on_val,P),Q) = P ).
fof(help_COMBC_1_1_COMBC_000tc__Expr__Obop_000tc__fun_Itc__prod_Itc__Expr__Obop_Mtc_,axiom,
! [P,Q,R] : hAPP_b97269396l_bool(hAPP_f257113085l_bool(hAPP_f1100052969l_bool(cOMBC_199425070l_bool,P),Q),R) = hAPP_f1335946228l_bool(hAPP_b1257035143l_bool(P,R),Q) ).
fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Optio,axiom,
! [P,Q,R] : hAPP_f1033709212l_bool(hAPP_f603925568l_bool(hAPP_f181262431l_bool(cOMBC_832625297y_bool,P),Q),R) = hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(P,R),Q) ).
fof(help_COMBC_1_1_COMBC_000tc__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J_J_0,axiom,
! [P,Q,R] : hAPP_e544220455r_bool(hAPP_f1724656343r_bool(hAPP_f388097003r_bool(cOMBC_818212448l_bool,P),Q),R) = hAPP_f1314764175l_bool(hAPP_e53687815l_bool(P,R),Q) ).
fof(help_fequal_1_1_fequal_000tc__Option__Ooption_Itc__prod_Itc__List__Olist_Itc__St,axiom,
! [X,Y] :
( ~ hBOOL(hAPP_o2007402111l_bool(hAPP_o1968908095l_bool(fequal1937332960on_val,X),Y))
| X = Y ) ).
fof(help_fequal_2_1_fequal_000tc__Option__Ooption_Itc__prod_Itc__List__Olist_Itc__St,axiom,
! [X,Y] :
( X != Y
| hBOOL(hAPP_o2007402111l_bool(hAPP_o1968908095l_bool(fequal1937332960on_val,X),Y)) ) ).
fof(help_COMBC_1_1_COMBC_000tc__List__Olist_Itc__String__Ochar_J_000tc__fun_Itc__pro_036,axiom,
! [P,Q,R] : hAPP_l1361600383r_bool(hAPP_f344506159r_bool(hAPP_f447563647r_bool(cOMBC_389248878r_bool,P),Q),R) = hAPP_f335969926r_bool(hAPP_l1335043179r_bool(P,R),Q) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__Value__Oval_Mtc__prod_Itc__Value__Oval_Mtc_,axiom,
! [P,Q,R] : hAPP_v417179479l_bool(hAPP_f293485653l_bool(hAPP_f565735867l_bool(cOMBB_815843940ol_val,P),Q),R) = hAPP_f1394668591l_bool(P,hAPP_v1519391al_val(Q,R)) ).
fof(help_COMBC_1_1_COMBC_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List,axiom,
! [P,Q,R] : hAPP_P449474095r_bool(hAPP_f112056853r_bool(hAPP_f1876889431r_bool(cOMBC_148995234l_bool,P),Q),R) = hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(P,R),Q) ).
fof(help_COMBC_1_1_COMBC_000tc__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J_J_0_037,axiom,
! [P,Q,R] : hAPP_e544220455r_bool(hAPP_f1466436665r_bool(hAPP_f1766231913r_bool(cOMBC_220519196l_bool,P),Q),R) = hAPP_f82569901l_bool(hAPP_e1303556805l_bool(P,R),Q) ).
fof(help_COMBK_1_1_COMBK_000tc__Option__Ooption_Itc__prod_Itc__List__Olist_Itc__Stri,axiom,
! [P,Q] : hAPP_n546249108on_val(hAPP_o1576581476on_val(cOMBK_1944287343al_nat,P),Q) = P ).
fof(help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__Option__Ooption_Itc__prod_Itc__List,axiom,
! [P,Q,R] : hAPP_nat_bool(hAPP_o1566711458t_bool(hAPP_f489569861t_bool(cOMBC_229530231l_bool,P),Q),R) = hAPP_o2007402111l_bool(hAPP_n95946796l_bool(P,R),Q) ).
fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__Expr__Obop_Mtc__prod_Itc__Value__Oval_Mtc_,axiom,
! [P,Q,R] : hAPP_P1614880106l_bool(hAPP_f1646911885l_bool(hAPP_f62511709l_bool(cOMBB_2139740953al_val,P),Q),R) = hAPP_P1653675595l_bool(P,hAPP_P929466802al_val(Q,R)) ).
fof(help_COMBC_1_1_COMBC_000tc__List__Olist_Itc__Value__Oval_J_000tc__fun_Itc__prod_,axiom,
! [P,Q,R] : hAPP_l1062423959r_bool(hAPP_f1051205629r_bool(hAPP_f987862447r_bool(cOMBC_1387630958r_bool,P),Q),R) = hAPP_f1724656343r_bool(hAPP_l296209613r_bool(P,R),Q) ).
fof(help_COMBB_1_1_COMBB_000tc__Option__Ooption_Itc__Type__Oty_J_000tc__fun_Itc__fun,axiom,
! [P,Q,R] : hAPP_l2000496933ion_ty(hAPP_f451501457ion_ty(hAPP_f509342689ion_ty(cOMBB_352765746t_char,P),Q),R) = hAPP_o534509643ion_ty(P,hAPP_l512744617ion_ty(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List,axiom,
! [P,Q,R] : hAPP_l553007690l_bool(hAPP_f558380429l_bool(hAPP_f144783951l_bool(cOMBB_1586673472t_char,P),Q),R) = hAPP_P1180869721l_bool(P,hAPP_l2100324114t_char(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__Value__Oval_Mtc__fun_Itc__fun_Itc__prod_Itc,axiom,
! [P,Q,R] : hAPP_v1988122071l_bool(hAPP_f1859053709l_bool(hAPP_f400269243l_bool(cOMBB_1701031980ol_val,P),Q),R) = hAPP_f1764548711l_bool(P,hAPP_v417179479l_bool(Q,R)) ).
fof(help_COMBS_1_1_COMBS_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod,axiom,
! [P,Q,R] : hAPP_P1384137393r_bool(cOMBS_1743887558l_bool(P,Q),R) = hAPP_bool_bool(hAPP_P415257547l_bool(P,R),hAPP_P1384137393r_bool(Q,R)) ).
fof(help_COMBC_1_1_COMBC_000tc__List__Olist_Itc__List__Olist_Itc__String__Ochar_J_J_,axiom,
! [P,Q,R] : hAPP_l214204733r_bool(hAPP_f2091926485r_bool(hAPP_f1820115955r_bool(cOMBC_790582442r_bool,P),Q),R) = hAPP_f1466436665r_bool(hAPP_l753659065r_bool(P,R),Q) ).
fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_038,axiom,
! [P,Q,R] : hAPP_f1145256474l_bool(hAPP_f1452292669l_bool(hAPP_f1977633121l_bool(cOMBB_1303934920on_val,P),Q),R) = hAPP_b589554111l_bool(P,hAPP_f61040418l_bool(Q,R)) ).
fof(help_COMBC_1_1_COMBC_000tc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mtc__Expr__,axiom,
! [P,Q,R] : hAPP_P2118621157r_bool(hAPP_f1298720864r_bool(hAPP_f225832321r_bool(cOMBC_1365742487l_bool,P),Q),R) = hAPP_f1746574980l_bool(hAPP_P2028292026l_bool(P,R),Q) ).
fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_039,axiom,
! [P,Q,R] : hAPP_P415257547l_bool(hAPP_f1985672189l_bool(hAPP_f1169733153l_bool(cOMBB_565990871t_char,P),Q),R) = hAPP_b589554111l_bool(P,hAPP_P1384137393r_bool(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mtc__Expr__,axiom,
! [P,Q,R] : hAPP_e53687815l_bool(hAPP_f361629773l_bool(hAPP_f1612138403l_bool(cOMBB_961360819t_char,P),Q),R) = hAPP_P845017029l_bool(P,hAPP_e1752110927t_char(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Value__Oval_Mtc__Value__Oval_J_Mt,axiom,
! [P,Q,R] : hAPP_b406740087l_bool(hAPP_f866074145l_bool(hAPP_f877616419l_bool(cOMBB_1458388806ol_bop,P),Q),R) = hAPP_f1646911885l_bool(P,hAPP_b1229254591al_val(Q,R)) ).
fof(help_COMBC_1_1_COMBC_000tc__List__Olist_Itc__Type__Oty_J_000tc__fun_Itc__prod_It,axiom,
! [P,Q,R] : hAPP_l1987619678r_bool(hAPP_f2071340985r_bool(hAPP_f133320957r_bool(cOMBC_1127703214r_bool,P),Q),R) = hAPP_f1298720864r_bool(hAPP_l96108383r_bool(P,R),Q) ).
fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__,axiom,
! [P,Q,R] : hAPP_e1303556805l_bool(hAPP_f901718717l_bool(hAPP_f380623487l_bool(cOMBB_1033145403t_char,P),Q),R) = hAPP_P1293136973l_bool(P,hAPP_e952791821t_char(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_,axiom,
! [P,Q,R] : hAPP_l1425867561l_bool(hAPP_f1764180741l_bool(hAPP_f247798919l_bool(cOMBB_526805108t_char,P),Q),R) = hAPP_f558380429l_bool(P,hAPP_l208357873t_char(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fun_,axiom,
! [P,Q,R] : hAPP_f652398900ion_ty(hAPP_f2110071953ion_ty(hAPP_f69964139ion_ty(cOMBB_2041093409on_val,P),Q),R) = hAPP_P1228500987ion_ty(P,hAPP_f900686428on_val(Q,R)) ).
fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_,axiom,
! [P,Q,R] : hAPP_f1715346603l_bool(hAPP_f1579743228l_bool(hAPP_f1166017719l_bool(cOMBC_317789649l_bool,P),Q),R) = hAPP_f1134950784l_bool(hAPP_f749178132l_bool(P,R),Q) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Value__Oval_Mtc__Value__Oval_J_Mt_040,axiom,
! [P,Q,R] : hAPP_b1257035143l_bool(hAPP_f2100207721l_bool(hAPP_f1374595987l_bool(cOMBB_761748254ol_bop,P),Q),R) = hAPP_f263393637l_bool(P,hAPP_b406740087l_bool(Q,R)) ).
fof(help_COMBC_1_1_COMBC_000tc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__prod_Itc,axiom,
! [P,Q,R] : hAPP_P1907982426r_bool(hAPP_f1874697593r_bool(hAPP_f1707979241r_bool(cOMBC_407285762l_bool,P),Q),R) = hAPP_f1780084320l_bool(hAPP_P1562529797l_bool(P,R),Q) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fun_I,axiom,
! [P,Q,R] : hAPP_l1335043179r_bool(hAPP_f1032444159r_bool(hAPP_f254182519r_bool(cOMBB_1551681790t_char,P),Q),R) = hAPP_f1367982615r_bool(P,hAPP_l1425867561l_bool(Q,R)) ).
fof(help_COMBC_1_1_COMBC_000tc__List__Olist_Itc__String__Ochar_J_000tc__fun_Itc__pro_041,axiom,
! [P,Q,R] : hAPP_l465799708l_bool(hAPP_f2080627739l_bool(hAPP_f350189921l_bool(cOMBC_1535683812l_bool,P),Q),R) = hAPP_f1579743228l_bool(hAPP_l1739862107l_bool(P,R),Q) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Oc,axiom,
! [P,Q,R] : hAPP_l1842007287l_bool(hAPP_f2118054305l_bool(hAPP_f1687138147l_bool(cOMBB_2078271971st_val,P),Q),R) = hAPP_f361629773l_bool(P,hAPP_l1859255743t_char(Q,R)) ).
fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_It,axiom,
! [P,Q,R] : hAPP_f1175813647l_bool(hAPP_f550652027l_bool(hAPP_f838396643l_bool(cOMBC_2027949654l_bool,P),Q),R) = hAPP_f603925568l_bool(hAPP_f1617787571l_bool(P,R),Q) ).
fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_It,axiom,
! [P,Q,R] : hAPP_f1033709212l_bool(hAPP_f1008932791l_bool(hAPP_f2057883639l_bool(cOMBB_1750801836on_val,P),Q),R) = hAPP_P159683425l_bool(P,hAPP_f1727192346on_val(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__prod_Itc,axiom,
! [P,Q,R] : hAPP_P2028292026l_bool(hAPP_f921434893l_bool(hAPP_f693085049l_bool(cOMBB_147773915t_char,P),Q),R) = hAPP_P1198052655l_bool(P,hAPP_P1392904962t_char(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__Option__Ooption_Itc__prod_Itc__List__Olist_Itc__Stri,axiom,
! [P,Q,R] : hAPP_n95946796l_bool(hAPP_f1677329295l_bool(hAPP_f1611569977l_bool(cOMBB_731867268ol_nat,P),Q),R) = hAPP_o1968908095l_bool(P,hAPP_n546249108on_val(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M,axiom,
! [P,Q,R] : hAPP_f1175813647l_bool(hAPP_f555424277l_bool(hAPP_f1734879897l_bool(cOMBB_1522540928on_val,P),Q),R) = hAPP_f1074020887l_bool(P,hAPP_f1175813647l_bool(Q,R)) ).
fof(help_COMBS_1_1_COMBS_000tc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_It,axiom,
! [P,Q,R] : hAPP_f1175813647l_bool(cOMBS_570216337l_bool(P,Q),R) = hAPP_f1074020887l_bool(hAPP_f1492320500l_bool(P,R),hAPP_f1175813647l_bool(Q,R)) ).
fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Optio_042,axiom,
! [P,Q,R] : hAPP_f1033709212l_bool(hAPP_f33142364l_bool(hAPP_f510152537l_bool(cOMBC_1518234801l_bool,P),Q),R) = hAPP_f966411375l_bool(hAPP_f720086610l_bool(P,R),Q) ).
fof(help_COMBC_1_1_COMBC_000tc__List__Olist_Itc__List__Olist_Itc__String__Ochar_J_J__043,axiom,
! [P,Q,R] : hAPP_l217977712r_bool(hAPP_f1044627221r_bool(hAPP_f308875635r_bool(cOMBC_1718404842r_bool,P),Q),R) = hAPP_f1874697593r_bool(hAPP_l1783480313r_bool(P,R),Q) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Oc_044,axiom,
! [P,Q,R] : hAPP_l296209613r_bool(hAPP_f1449341487r_bool(hAPP_f1823921107r_bool(cOMBB_308691073st_val,P),Q),R) = hAPP_f388097003r_bool(P,hAPP_l1842007287l_bool(Q,R)) ).
fof(help_COMBC_1_1_COMBC_000tc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__prod_Itc_045,axiom,
! [P,Q,R] : hAPP_P1187139874r_bool(hAPP_f279818502r_bool(hAPP_f1419180947r_bool(cOMBC_390659185l_bool,P),Q),R) = hAPP_f483496539l_bool(hAPP_P1383068750l_bool(P,R),Q) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Oc_046,axiom,
! [P,Q,R] : hAPP_l551544901l_bool(hAPP_f165071409l_bool(hAPP_f1174637065l_bool(cOMBB_33167485t_char,P),Q),R) = hAPP_f901718717l_bool(P,hAPP_l796364813t_char(Q,R)) ).
fof(help_COMBS_1_1_COMBS_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_047,axiom,
! [P,Q,R] : hAPP_P1680401186r_bool(cOMBS_635570165l_bool(P,Q),R) = hAPP_bool_bool(hAPP_P1552072218l_bool(P,R),hAPP_P1680401186r_bool(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_048,axiom,
! [P,Q,R] : hAPP_P1552072218l_bool(hAPP_f561246575l_bool(hAPP_f321462169l_bool(cOMBB_808210516t_char,P),Q),R) = hAPP_b589554111l_bool(P,hAPP_P1680401186r_bool(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__fun_Itc,axiom,
! [P,Q,R] : hAPP_f1492320500l_bool(hAPP_f1523875321l_bool(hAPP_f592397849l_bool(cOMBB_1718333400on_val,P),Q),R) = hAPP_f1863694447l_bool(P,hAPP_f1145256474l_bool(Q,R)) ).
fof(help_COMBC_1_1_COMBC_000tc__List__Olist_Itc__String__Ochar_J_000tc__fun_Itc__pro_049,axiom,
! [P,Q,R] : hAPP_l165010689r_bool(hAPP_f1209019955r_bool(hAPP_f521496323r_bool(cOMBC_654453230r_bool,P),Q),R) = hAPP_f279818502r_bool(hAPP_l2053770731r_bool(P,R),Q) ).
fof(help_COMBC_1_1_COMBC_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod,axiom,
! [P,Q,R] : hAPP_P1384137393r_bool(hAPP_f1853572245r_bool(hAPP_f1933376467r_bool(cOMBC_36589090l_bool,P),Q),R) = hAPP_f483496539l_bool(hAPP_P7095645l_bool(P,R),Q) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Oc_050,axiom,
! [P,Q,R] : hAPP_l753659065r_bool(hAPP_f2059406941r_bool(hAPP_f108089737r_bool(cOMBB_2143526097t_char,P),Q),R) = hAPP_f1766231913r_bool(P,hAPP_l551544901l_bool(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__prod_Itc__List__Olist_Itc__String_,axiom,
! [P,Q,R] : hAPP_l2000496933ion_ty(hAPP_f802560783ion_ty(hAPP_f7643013ion_ty(cOMBB_864319000t_char,P),Q),R) = hAPP_f2110071953ion_ty(P,hAPP_l1786340417on_val(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fun__051,axiom,
! [P,Q,R] : hAPP_f749178132l_bool(hAPP_f1099622285l_bool(hAPP_f919000597l_bool(cOMBB_1153773871on_val,P),Q),R) = hAPP_P1217996045l_bool(P,hAPP_f900686428on_val(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mt,axiom,
! [P,Q,R] : hAPP_l1117138611l_bool(hAPP_f2047757465l_bool(hAPP_f466945179l_bool(cOMBB_68065882ist_ty,P),Q),R) = hAPP_f921434893l_bool(P,hAPP_l14371579t_char(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String___052,axiom,
! [P,Q,R] : hAPP_P1562529797l_bool(hAPP_f1233028029l_bool(hAPP_f1715733055l_bool(cOMBB_123628846t_char,P),Q),R) = hAPP_P1472618637l_bool(P,hAPP_P767818445t_char(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_053,axiom,
! [P,Q,R] : hAPP_f1617787571l_bool(hAPP_f857351829l_bool(hAPP_f348318673l_bool(cOMBB_1518282696on_val,P),Q),R) = hAPP_f181262431l_bool(P,hAPP_f1213370163y_bool(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mt_054,axiom,
! [P,Q,R] : hAPP_l96108383r_bool(hAPP_f1608277885r_bool(hAPP_f1134248971r_bool(cOMBB_338473166ist_ty,P),Q),R) = hAPP_f225832321r_bool(P,hAPP_l1117138611l_bool(Q,R)) ).
fof(help_COMBC_1_1_COMBC_000tc__List__Olist_Itc__prod_Itc__List__Olist_Itc__String__,axiom,
! [P,Q,R] : hAPP_l902158906r_bool(hAPP_f605643693r_bool(hAPP_f841257045r_bool(cOMBC_1407716098l_bool,P),Q),R) = hAPP_f1161798306l_bool(hAPP_l213519975l_bool(P,R),Q) ).
fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_It_055,axiom,
! [P,Q,R] : hAPP_f1175813647l_bool(hAPP_f47713631l_bool(hAPP_f77033475l_bool(cOMBC_1317565126l_bool,P),Q),R) = hAPP_f33142364l_bool(hAPP_f893576377l_bool(P,R),Q) ).
fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod,axiom,
! [P,Q,R] : hAPP_P1383068750l_bool(hAPP_f1239832973l_bool(hAPP_f1937828171l_bool(cOMBB_1681501894t_char,P),Q),R) = hAPP_P7095645l_bool(P,hAPP_P242904598t_char(Q,R)) ).
fof(help_COMBC_1_1_COMBC_000tc__List__Olist_Itc__prod_Itc__List__Olist_Itc__String___056,axiom,
! [P,Q,R] : hAPP_l24694616r_bool(hAPP_f306469557r_bool(hAPP_f197435839r_bool(cOMBC_886773442r_bool,P),Q),R) = hAPP_f605643693r_bool(hAPP_l1129005983r_bool(P,R),Q) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__prod_Itc__List__Olist_Itc__String__057,axiom,
! [P,Q,R] : hAPP_l2111308793l_bool(hAPP_f1370205989l_bool(hAPP_f1406462375l_bool(cOMBB_109816436t_char,P),Q),R) = hAPP_f1099622285l_bool(P,hAPP_l1786340417on_val(Q,R)) ).
fof(help_COMBC_1_1_COMBC_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_It,axiom,
! [P,Q,R] : hAPP_P159683425l_bool(hAPP_f1175362209l_bool(hAPP_f101237475l_bool(cOMBC_1585774710l_bool,P),Q),R) = hAPP_f91506671l_bool(hAPP_P1609485901l_bool(P,R),Q) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_058,axiom,
! [P,Q,R] : hAPP_f1175813647l_bool(hAPP_f1363667773l_bool(hAPP_f1050935001l_bool(cOMBB_1153617344on_val,P),Q),R) = hAPP_f1008932791l_bool(P,hAPP_f1849790461on_val(Q,R)) ).
fof(help_COMBC_1_1_COMBC_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_It_059,axiom,
! [P,Q,R] : hAPP_P159683425l_bool(hAPP_f1526206996l_bool(hAPP_f1467537159l_bool(cOMBC_2141828763l_bool,P),Q),R) = hAPP_f837795298l_bool(hAPP_P594889876l_bool(P,R),Q) ).
fof(help_COMBC_1_1_COMBC_000tc__prod_Itc__List__Olist_Itc__prod_Itc__List__Olist_Itc,axiom,
! [P,Q,R] : hAPP_P828904212r_bool(hAPP_f764724814r_bool(hAPP_f1410576713r_bool(cOMBC_516637475l_bool,P),Q),R) = hAPP_f2050077417l_bool(hAPP_P1418247892l_bool(P,R),Q) ).
fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_It_060,axiom,
! [P,Q,R] : hAPP_f720086610l_bool(hAPP_f292637069l_bool(hAPP_f1168269397l_bool(cOMBB_1293776864on_val,P),Q),R) = hAPP_P998768845l_bool(P,hAPP_f1727192346on_val(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__prod_Itc__List__Olist_Itc__String__061,axiom,
! [P,Q,R] : hAPP_l1739862107l_bool(hAPP_f1094343359l_bool(hAPP_f876671127l_bool(cOMBB_1200577438t_char,P),Q),R) = hAPP_f1166017719l_bool(P,hAPP_l2111308793l_bool(Q,R)) ).
fof(help_COMBC_1_1_COMBC_000tc__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J_J_0_062,axiom,
! [P,Q,R] : hAPP_e1833980889l_bool(hAPP_f989077673l_bool(hAPP_f40682957l_bool(cOMBC_562612496l_bool,P),Q),R) = hAPP_f1175362209l_bool(hAPP_e1705922617l_bool(P,R),Q) ).
fof(help_COMBS_1_1_COMBS_000tc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc_,axiom,
! [P,Q,R] : hAPP_P282169671l_bool(cOMBS_1319864284l_bool(P,Q),R) = hAPP_bool_bool(hAPP_P1402001845l_bool(P,R),hAPP_P282169671l_bool(Q,R)) ).
fof(help_COMBC_1_1_COMBC_000tc__List__Olist_Itc__String__Ochar_J_000tc__fun_Itc__pro_063,axiom,
! [P,Q,R] : hAPP_l1342015621r_bool(hAPP_f719350875r_bool(hAPP_f2133563379r_bool(cOMBC_1025440566r_bool,P),Q),R) = hAPP_f764724814r_bool(hAPP_l1988620845r_bool(P,R),Q) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc_,axiom,
! [P,Q,R] : hAPP_l1571522437l_bool(hAPP_f1136362289l_bool(hAPP_f1736484361l_bool(cOMBB_2042763133t_char,P),Q),R) = hAPP_f1233028029l_bool(P,hAPP_l1873467853t_char(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_064,axiom,
! [P,Q,R] : hAPP_P1402001845l_bool(hAPP_f379976829l_bool(hAPP_f606945057l_bool(cOMBB_705522285on_val,P),Q),R) = hAPP_b589554111l_bool(P,hAPP_P282169671l_bool(Q,R)) ).
fof(help_COMBC_1_1_COMBC_000tc__List__Olist_Itc__Expr__Oexp_Itc__List__Olist_Itc__St,axiom,
! [P,Q,R] : hAPP_l146377954l_bool(hAPP_f844901525l_bool(hAPP_f348508809l_bool(cOMBC_622308798l_bool,P),Q),R) = hAPP_f1526206996l_bool(hAPP_l177734933l_bool(P,R),Q) ).
fof(help_COMBS_1_1_COMBS_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc_,axiom,
! [P,Q,R] : hAPP_P1333315679l_bool(cOMBS_1218320756l_bool(P,Q),R) = hAPP_bool_bool(hAPP_P895943837l_bool(P,R),hAPP_P1333315679l_bool(Q,R)) ).
fof(help_COMBC_1_1_COMBC_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_065,axiom,
! [P,Q,R] : hAPP_P659547099r_bool(hAPP_f658521820r_bool(hAPP_f454222487r_bool(cOMBC_1338332465l_bool,P),Q),R) = hAPP_f515912112l_bool(hAPP_P780018708l_bool(P,R),Q) ).
fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_066,axiom,
! [P,Q,R] : hAPP_P895943837l_bool(hAPP_f914702973l_bool(hAPP_f1600936353l_bool(cOMBB_1617503877on_val,P),Q),R) = hAPP_b589554111l_bool(P,hAPP_P1333315679l_bool(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__067,axiom,
! [P,Q,R] : hAPP_l1783480313r_bool(hAPP_f531187933r_bool(hAPP_f179418505r_bool(cOMBB_550632017t_char,P),Q),R) = hAPP_f1707979241r_bool(P,hAPP_l1571522437l_bool(Q,R)) ).
fof(help_COMBC_1_1_COMBC_000tc__List__Olist_Itc__String__Ochar_J_000tc__fun_Itc__pro_068,axiom,
! [P,Q,R] : hAPP_l2140727500r_bool(hAPP_f2025561243r_bool(hAPP_f1500560577r_bool(cOMBC_1784597444r_bool,P),Q),R) = hAPP_f658521820r_bool(hAPP_l923073979r_bool(P,R),Q) ).
fof(help_COMBC_1_1_COMBC_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_069,axiom,
! [P,Q,R] : hAPP_P1680401186r_bool(hAPP_f1666729379r_bool(hAPP_f1020753317r_bool(cOMBC_1297648632l_bool,P),Q),R) = hAPP_f515912112l_bool(hAPP_P205570445l_bool(P,R),Q) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__070,axiom,
! [P,Q,R] : hAPP_l1845912621l_bool(hAPP_f1868463117l_bool(hAPP_f1365840271l_bool(cOMBB_1705938036t_char,P),Q),R) = hAPP_f1239832973l_bool(P,hAPP_l1388836853t_char(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__prod_Itc__List__Olist_Itc,axiom,
! [P,Q,R] : hAPP_l213519975l_bool(hAPP_f156692813l_bool(hAPP_f1847120981l_bool(cOMBB_1035649854t_char,P),Q),R) = hAPP_P1327510541l_bool(P,hAPP_l277216047t_char(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__071,axiom,
! [P,Q,R] : hAPP_l2053770731r_bool(hAPP_f732843907r_bool(hAPP_f1563448447r_bool(cOMBB_1490692730t_char,P),Q),R) = hAPP_f1419180947r_bool(P,hAPP_l1845912621l_bool(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_072,axiom,
! [P,Q,R] : hAPP_f613075253l_bool(hAPP_f1670595613l_bool(hAPP_f1472899487l_bool(cOMBB_588525814on_val,P),Q),R) = hAPP_f292637069l_bool(P,hAPP_f1849790461on_val(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__O,axiom,
! [P,Q,R] : hAPP_P1609485901l_bool(hAPP_f826324045l_bool(hAPP_f1639555093l_bool(cOMBB_985659173on_val,P),Q),R) = hAPP_P2015860941l_bool(P,hAPP_P604205461on_val(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_073,axiom,
! [P,Q,R] : hAPP_f893576377l_bool(hAPP_f1250221913l_bool(hAPP_f1860331535l_bool(cOMBB_2084052674on_val,P),Q),R) = hAPP_f510152537l_bool(P,hAPP_f613075253l_bool(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_074,axiom,
! [P,Q,R] : hAPP_P1418247892l_bool(hAPP_f2037329933l_bool(hAPP_f251669717l_bool(cOMBB_773661144t_char,P),Q),R) = hAPP_P1517699917l_bool(P,hAPP_P1423780764t_char(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__Oli,axiom,
! [P,Q,R] : hAPP_P594889876l_bool(hAPP_f375531599l_bool(hAPP_f1564338425l_bool(cOMBB_1078680455on_val,P),Q),R) = hAPP_P483670507l_bool(P,hAPP_P1963616220on_val(Q,R)) ).
fof(help_COMBC_1_1_COMBC_000tc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__O,axiom,
! [P,Q,R] : hAPP_P1708370145l_bool(hAPP_f973018659l_bool(hAPP_f961387813l_bool(cOMBC_1608987946l_bool,P),Q),R) = hAPP_f1453283057l_bool(hAPP_P638161699l_bool(P,R),Q) ).
fof(help_COMBC_1_1_COMBC_000tc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__Oli,axiom,
! [P,Q,R] : hAPP_P71593144l_bool(hAPP_f1317381998l_bool(hAPP_f1734997943l_bool(cOMBC_1491642377l_bool,P),Q),R) = hAPP_f458849545l_bool(hAPP_P88824722l_bool(P,R),Q) ).
fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_075,axiom,
! [P,Q,R] : hAPP_P780018708l_bool(hAPP_f1107475085l_bool(hAPP_f937861397l_bool(cOMBB_1520154591t_char,P),Q),R) = hAPP_P205570445l_bool(P,hAPP_P1224499548t_char(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__List__Olist_Itc__prod_Itc__List__Olist_Itc_,axiom,
! [P,Q,R] : hAPP_l1536299231l_bool(hAPP_f935003377l_bool(hAPP_f162154931l_bool(cOMBB_859890145har_ty,P),Q),R) = hAPP_f156692813l_bool(P,hAPP_l352172327t_char(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__List__Olist_Itc__prod_Itc__List__Olist_Itc__076,axiom,
! [P,Q,R] : hAPP_l1129005983r_bool(hAPP_f1749915625r_bool(hAPP_f842743203r_bool(cOMBB_657296617har_ty,P),Q),R) = hAPP_f841257045r_bool(P,hAPP_l1536299231l_bool(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__O,axiom,
! [P,Q,R] : hAPP_e286792811l_bool(hAPP_f1614195593l_bool(hAPP_f705562443l_bool(cOMBB_507006011t_char,P),Q),R) = hAPP_f826324045l_bool(P,hAPP_e1659493427on_val(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__List__Olist_Itc__prod_Itc__List__,axiom,
! [P,Q,R] : hAPP_l810309945l_bool(hAPP_f1817350437l_bool(hAPP_f614662951l_bool(cOMBB_1558246132t_char,P),Q),R) = hAPP_f2037329933l_bool(P,hAPP_l309186817t_char(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__O_077,axiom,
! [P,Q,R] : hAPP_e1705922617l_bool(hAPP_f1475571983l_bool(hAPP_f1946480059l_bool(cOMBB_673739729t_char,P),Q),R) = hAPP_f101237475l_bool(P,hAPP_e286792811l_bool(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__O_078,axiom,
! [P,Q,R] : hAPP_l232580245l_bool(hAPP_f1752856401l_bool(hAPP_f552300311l_bool(cOMBB_1270208498t_char,P),Q),R) = hAPP_f375531599l_bool(P,hAPP_l1275479261on_val(Q,R)) ).
fof(help_COMBC_1_1_COMBC_000tc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__O_079,axiom,
! [P,Q,R] : hAPP_P1116729363l_bool(hAPP_f1200025813l_bool(hAPP_f1089788553l_bool(cOMBC_967917532l_bool,P),Q),R) = hAPP_f973018659l_bool(hAPP_P609938901l_bool(P,R),Q) ).
fof(help_COMBC_1_1_COMBC_000tc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc_,axiom,
! [P,Q,R] : hAPP_P282169671l_bool(hAPP_f2036784149l_bool(hAPP_f1720452391l_bool(cOMBC_1021753250l_bool,P),Q),R) = hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(P,R),Q) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__List__Olist_Itc__prod_Itc__List___080,axiom,
! [P,Q,R] : hAPP_l1988620845r_bool(hAPP_f1957374161r_bool(hAPP_f304993943r_bool(cOMBB_847828016t_char,P),Q),R) = hAPP_f1410576713r_bool(P,hAPP_l810309945l_bool(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__O_081,axiom,
! [P,Q,R] : hAPP_l177734933l_bool(hAPP_f1149562121l_bool(hAPP_f1850037271l_bool(cOMBB_773375802t_char,P),Q),R) = hAPP_f1467537159l_bool(P,hAPP_l232580245l_bool(Q,R)) ).
fof(help_COMBC_1_1_COMBC_000tc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__Oli_082,axiom,
! [P,Q,R] : hAPP_P1183008383l_bool(hAPP_f447422815l_bool(hAPP_f2052909183l_bool(cOMBC_766524526l_bool,P),Q),R) = hAPP_f1317381998l_bool(hAPP_P768428603l_bool(P,R),Q) ).
fof(help_COMBC_1_1_COMBC_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc_,axiom,
! [P,Q,R] : hAPP_P1333315679l_bool(hAPP_f1856968213l_bool(hAPP_f677078775l_bool(cOMBC_475083938l_bool,P),Q),R) = hAPP_f458849545l_bool(hAPP_P126004409l_bool(P,R),Q) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_,axiom,
! [P,Q,R] : hAPP_l1591404153l_bool(hAPP_f333583909l_bool(hAPP_f1407048615l_bool(cOMBB_741416308t_char,P),Q),R) = hAPP_f1107475085l_bool(P,hAPP_l902950593t_char(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J__083,axiom,
! [P,Q,R] : hAPP_l923073979r_bool(hAPP_f29105311r_bool(hAPP_f953097879r_bool(cOMBB_672864638t_char,P),Q),R) = hAPP_f454222487r_bool(P,hAPP_l1591404153l_bool(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc_,axiom,
! [P,Q,R] : hAPP_P638161699l_bool(hAPP_f762728813l_bool(hAPP_f1510763001l_bool(cOMBB_565412073on_val,P),Q),R) = hAPP_P1303341961l_bool(P,hAPP_P1886180715on_val(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc_,axiom,
! [P,Q,R] : hAPP_P88824722l_bool(hAPP_f1776493709l_bool(hAPP_f810261999l_bool(cOMBB_1034324152on_val,P),Q),R) = hAPP_P126004409l_bool(P,hAPP_P658340954on_val(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__,axiom,
! [P,Q,R] : hAPP_P527298901l_bool(hAPP_f1204100177l_bool(hAPP_f2026692601l_bool(cOMBB_1977588741on_val,P),Q),R) = hAPP_f762728813l_bool(P,hAPP_P1870962205on_val(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc___084,axiom,
! [P,Q,R] : hAPP_P609938901l_bool(hAPP_f2095325577l_bool(hAPP_f1135930489l_bool(cOMBB_1223415373on_val,P),Q),R) = hAPP_f961387813l_bool(P,hAPP_P527298901l_bool(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__,axiom,
! [P,Q,R] : hAPP_P76086873l_bool(hAPP_f1082373989l_bool(hAPP_f869803751l_bool(cOMBB_555068556on_val,P),Q),R) = hAPP_f1776493709l_bool(P,hAPP_P1526035745on_val(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc___085,axiom,
! [P,Q,R] : hAPP_P768428603l_bool(hAPP_f1427871743l_bool(hAPP_f32926423l_bool(cOMBB_779086262on_val,P),Q),R) = hAPP_f1734997943l_bool(P,hAPP_P76086873l_bool(Q,R)) ).
%----Conjectures (1)
fof(conj_0,conjecture,
hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,hAPP_val_option_val(some_val,v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a)))),red(p))) ).
%------------------------------------------------------------------------------