TPTP Problem File: SWW476+3.p
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%------------------------------------------------------------------------------
% File : SWW476+3 : TPTP v8.2.0. Released v5.3.0.
% Domain : Software Verification
% Problem : Java type soundness line 197, 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_l197 [Bla11]
% Status : Theorem
% Rating : 1.00 v5.3.0
% Syntax : Number of formulae : 1346 ( 451 unt; 0 def)
% Number of atoms : 3013 (1287 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 2109 ( 442 ~; 27 |; 135 &)
% ( 178 <=>;1327 =>; 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 : 822 ( 822 usr; 121 con; 0-6 aty)
% Number of variables : 5823 (5724 !; 99 ?)
% SPC : FOF_THM_RFO_SEQ
% Comments : This file was generated by Isabelle (most likely Sledgehammer)
% 2011-08-09 17:38:07
% : Encoded with monomorphized guards.
%------------------------------------------------------------------------------
%----Explicit typings (117)
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_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_HOL_Oundefined_000tc__String__Ochar,axiom,
is_char(undefined_char(char)) ).
fof(gsy_c_List_Odistinct_000tc__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J_J,axiom,
! [B_1_1] : is_bool(distin1416307044t_char(B_1_1)) ).
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_Odistinct_000tc__Nat__Onat,axiom,
! [B_1_1] : is_bool(distinct_nat(B_1_1)) ).
fof(gsy_c_List_Odistinct_000tc__Type__Oty,axiom,
! [B_1_1] : is_bool(distinct_ty(B_1_1)) ).
fof(gsy_c_List_Odistinct_000tc__Value__Oval,axiom,
! [B_1_1] : is_bool(distinct_val(B_1_1)) ).
fof(gsy_c_List_Odistinct_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List,axiom,
! [B_1_1] : is_bool(distin1973552748t_char(B_1_1)) ).
fof(gsy_c_List_Odistinct_000tc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc_,axiom,
! [B_1_1] : is_bool(distin179070212on_val(B_1_1)) ).
fof(gsy_c_List_Odistinct_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc_,axiom,
! [B_1_1] : is_bool(distin1349260956on_val(B_1_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_Orderings_Oord__class_Oless__eq_000tc__fun_Itc__List__Olist_Itc__String__O,axiom,
! [B_1_1,B_2_1] : is_bool(ord_le2092826700r_bool(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] : is_bool(wTrt_1(B_1_1,B_2_1,B_3_1,B_4_1,B_5)) ).
fof(gsy_c_Progress_OWTrts_H,axiom,
! [B_1_1,B_2_1,B_3_1,B_4_1,B_5] : is_bool(wTrts(B_1_1,B_2_1,B_3_1,B_4_1,B_5)) ).
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,hypothesis,
! [B_1_1,B_2_1,B_3_1,B_4_1,B_5] : is_bool(wTrt(B_1_1,B_2_1,B_3_1,B_4_1,B_5)) ).
fof(gsy_c_WellTypeRT_OWTrts,axiom,
! [B_1_1,B_2_1,B_3_1,B_4_1,B_5] : is_bool(wTrts_1(B_1_1,B_2_1,B_3_1,B_4_1,B_5)) ).
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__Expr__Oexp_Itc__List__Olist_Itc__String__Ocha,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_l1538097584r_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__List__Olist_Itc__List__Olist_Itc__String__Ochar_J_J_000tc__HOL,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_l1948381865r_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__List__Olist_Itc__Option__Ooption_Itc__Type__Oty_J_J_000tc__HOL,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_l292106447y_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__Type__Oty_J_000tc__HOL__Obool,hypothesis,
! [B_1_1,B_2_1] : is_bool(hAPP_list_ty_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__List__Olist_Itc__Value__Oval_J_000tc__HOL__Obool,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_list_val_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__List__Olist_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__St,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_l2060099886l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__List__Olist_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__Li,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_l1440102849l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__List__Olist_Itc__prod_Itc__prod_Itc__List__Olist_Itc__String__,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_l1176981118y_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__List__Olist_Itc__prod_Itc__prod_Itc__List__Olist_Itc__String___001,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_l492540231l_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__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__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__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__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List_,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_f1715346603l_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_003,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_004,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__005,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__006,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_P831231943y_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__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__Expr__Oexp_Itc__List__Oli,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P1038730315l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__prod_Itc__List__Olist_Itc__Expr__Oe,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P1821438151l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__String__Ochar_Mtc__String__Ochar_J_000tc__HOL__Obool,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P1700239815r_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__Type__Oty_Mtc__Type__Oty_J_000tc__HOL__Obool,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P1716187463y_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__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__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___007,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_008,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P1070896250l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List_009,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__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__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)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P439015943l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J_J,axiom,
! [B_1_1,B_2_1] : is_bool(member_exp_list_char(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__List__Olist_Itc__String__Ochar_J,axiom,
! [B_1_1,B_2_1] : is_bool(member_list_char(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__Nat__Onat,axiom,
! [B_1_1,B_2_1] : is_bool(member_nat(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__Option__Ooption_Itc__Type__Oty_J,axiom,
! [B_1_1,B_2_1] : is_bool(member_option_ty(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__Type__Oty,axiom,
! [B_1_1,B_2_1] : is_bool(member_ty(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__Value__Oval,axiom,
! [B_1_1,B_2_1] : is_bool(member_val(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J_J,axiom,
! [B_1_1,B_2_1] : is_bool(member1199939018t_char(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__Olist_Itc__,axiom,
! [B_1_1,B_2_1] : is_bool(member894971540t_char(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__Ochar_J_,axiom,
! [B_1_1,B_2_1] : is_bool(member817832404t_char(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List__Olist_,axiom,
! [B_1_1,B_2_1] : is_bool(member1251428284t_char(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__List__Olist_Itc_,axiom,
! [B_1_1,B_2_1] : is_bool(member104734088ist_ty(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mtc__List__Olist_It,axiom,
! [B_1_1,B_2_1] : is_bool(member273646106st_val(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__prod_Itc__List__Olist_Itc__prod_Itc__Expr__Oexp_Itc__List__O,axiom,
! [B_1_1,B_2_1] : is_bool(member1942985176on_val(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__prod_Itc__List__Olist_Itc__prod_Itc__List__Olist_Itc__Expr__,axiom,
! [B_1_1,B_2_1] : is_bool(member295766740on_val(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__prod_Itc__String__Ochar_Mtc__String__Ochar_J,axiom,
! [B_1_1,B_2_1] : is_bool(member1725532372r_char(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__prod_Itc__Type__Oty_Mtc__Type__Oty_J,axiom,
! [B_1_1,B_2_1] : is_bool(member1736614484_ty_ty(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__prod_Itc__Value__Oval_Mtc__Value__Oval_J,axiom,
! [B_1_1,B_2_1] : is_bool(member649088532al_val(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__prod_Itc__prod_Itc__Expr__Obop_Mtc__prod_Itc__Value__Oval_Mt,axiom,
! [B_1_1,B_2_1] : is_bool(member1732271180al_val(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String_,axiom,
! [B_1_1,B_2_1] : is_bool(member773094996on_val(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__O,axiom,
! [B_1_1,B_2_1] : is_bool(member875476972on_val(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String,axiom,
! [B_1_1,B_2_1] : is_bool(member1999287380t_char(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String_010,axiom,
! [B_1_1,B_2_1] : is_bool(member1420286996t_char(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Li,axiom,
! [B_1_1,B_2_1] : is_bool(member1783291580har_ty(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Li_011,axiom,
! [B_1_1,B_2_1] : is_bool(member806854661ar_val(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Li_012,axiom,
! [B_1_1,B_2_1] : is_bool(member794220506t_char(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fu,axiom,
! [B_1_1,B_2_1] : is_bool(member1322055188on_val(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__prod_I,axiom,
! [B_1_1,B_2_1] : is_bool(member125098544t_char(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mtc__Expr,axiom,
! [B_1_1,B_2_1] : is_bool(member1161907014t_char(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__prod_Itc__prod_Itc__Value__Oval_Mtc__Value__Oval_J_Mtc__prod,axiom,
! [B_1_1,B_2_1] : is_bool(member837208074al_val(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__prod_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_,axiom,
! [B_1_1,B_2_1] : is_bool(member563141460on_val(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__prod_Itc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_It,axiom,
! [B_1_1,B_2_1] : is_bool(member808015754on_val(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_It,axiom,
! [B_1_1,B_2_1] : is_bool(member88670778on_val(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar,axiom,
! [B_1_1,B_2_1] : is_bool(member619264020ar_val(B_1_1,B_2_1)) ).
%----Relevant facts (1200)
fof(fact_0_widens__refl,axiom,
! [Pa,Xs] : hBOOL(hAPP_list_ty_bool(list_all2_ty_ty(widen_2090681816t_char(Pa),Xs),Xs)) ).
fof(fact_1_widen__refl,axiom,
! [P_4,T_9] : hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(P_4),T_9),T_9)) ).
fof(fact_2_widens__trans,axiom,
! [Us_3,Pa,Ss,Tsa] :
( hBOOL(hAPP_list_ty_bool(list_all2_ty_ty(widen_2090681816t_char(Pa),Ss),Tsa))
=> ( hBOOL(hAPP_list_ty_bool(list_all2_ty_ty(widen_2090681816t_char(Pa),Tsa),Us_3))
=> hBOOL(hAPP_list_ty_bool(list_all2_ty_ty(widen_2090681816t_char(Pa),Ss),Us_3)) ) ) ).
fof(fact_3_list__all2__lengthD,axiom,
! [Pa,Xs,Ys] :
( hBOOL(hAPP_l1440102849l_bool(list_a809715167on_val(Pa,Xs),Ys))
=> hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_l1766199206al_nat(size_s470606735on_val,Ys) ) ).
fof(fact_4_list__all2__lengthD,axiom,
! [Pa,Xs,Ys] :
( hBOOL(hAPP_l2060099886l_bool(list_a1874290002on_val(Pa,Xs),Ys))
=> hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_l1746926841al_nat(size_s60479160on_val,Ys) ) ).
fof(fact_5_list__all2__lengthD,axiom,
! [Pa,Xs,Ys] :
( hBOOL(hAPP_list_char_bool(list_a1647123652r_char(Pa,Xs),Ys))
=> hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_list_char_nat(size_size_list_char,Ys) ) ).
fof(fact_6_list__all2__lengthD,axiom,
! [Pa,Xs,Ys] :
( hBOOL(hAPP_l1176981118y_bool(list_a1115291042har_ty(Pa,Xs),Ys))
=> hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_l540212137ty_nat(size_s1444510216har_ty,Ys) ) ).
fof(fact_7_list__all2__lengthD,axiom,
! [Pa,Xs,Ys] :
( hBOOL(hAPP_l492540231l_bool(list_a400141291ar_val(Pa,Xs),Ys))
=> hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_l1280603808al_nat(size_s760178257ar_val,Ys) ) ).
fof(fact_8_list__all2__lengthD,axiom,
! [Pa,Xs,Ys] :
( hBOOL(hAPP_l292106447y_bool(list_a1834344429ion_ty(Pa,Xs),Ys))
=> hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_l289305880ty_nat(size_s1050794909ion_ty,Ys) ) ).
fof(fact_9_list__all2__lengthD,axiom,
! [Pa,Xs,Ys] :
( hBOOL(hAPP_l1440102849l_bool(list_a392402672on_val(Pa,Xs),Ys))
=> hAPP_list_ty_nat(size_size_list_ty,Xs) = hAPP_l1766199206al_nat(size_s470606735on_val,Ys) ) ).
fof(fact_10_list__all2__lengthD,axiom,
! [Pa,Xs,Ys] :
( hBOOL(hAPP_l2060099886l_bool(list_a216081281on_val(Pa,Xs),Ys))
=> hAPP_list_ty_nat(size_size_list_ty,Xs) = hAPP_l1746926841al_nat(size_s60479160on_val,Ys) ) ).
fof(fact_11_list__all2__lengthD,axiom,
! [Pa,Xs,Ys] :
( hBOOL(hAPP_list_char_bool(list_all2_ty_char(Pa,Xs),Ys))
=> hAPP_list_ty_nat(size_size_list_ty,Xs) = hAPP_list_char_nat(size_size_list_char,Ys) ) ).
fof(fact_12_list__all2__lengthD,axiom,
! [Pa,Xs,Ys] :
( hBOOL(hAPP_l1176981118y_bool(list_a860324561har_ty(Pa,Xs),Ys))
=> hAPP_list_ty_nat(size_size_list_ty,Xs) = hAPP_l540212137ty_nat(size_s1444510216har_ty,Ys) ) ).
fof(fact_13_list__all2__lengthD,axiom,
! [Pa,Xs,Ys] :
( hBOOL(hAPP_l492540231l_bool(list_a123308442ar_val(Pa,Xs),Ys))
=> hAPP_list_ty_nat(size_size_list_ty,Xs) = hAPP_l1280603808al_nat(size_s760178257ar_val,Ys) ) ).
fof(fact_14_list__all2__lengthD,axiom,
! [Pa,Xs,Ys] :
( hBOOL(hAPP_l292106447y_bool(list_a1880637950ion_ty(Pa,Xs),Ys))
=> hAPP_list_ty_nat(size_size_list_ty,Xs) = hAPP_l289305880ty_nat(size_s1050794909ion_ty,Ys) ) ).
fof(fact_15_list__all2__lengthD,axiom,
! [Pa,Xs,Ys] :
( hBOOL(hAPP_l1440102849l_bool(list_a88719801on_val(Pa,Xs),Ys))
=> hAPP_list_val_nat(size_size_list_val,Xs) = hAPP_l1766199206al_nat(size_s470606735on_val,Ys) ) ).
fof(fact_16_list__all2__lengthD,axiom,
! [Pa,Xs,Ys] :
( hBOOL(hAPP_l2060099886l_bool(list_a1839848952on_val(Pa,Xs),Ys))
=> hAPP_list_val_nat(size_size_list_val,Xs) = hAPP_l1746926841al_nat(size_s60479160on_val,Ys) ) ).
fof(fact_17_list__all2__lengthD,axiom,
! [Pa,Xs,Ys] :
( hBOOL(hAPP_list_char_bool(list_all2_val_char(Pa,Xs),Ys))
=> hAPP_list_val_nat(size_size_list_val,Xs) = hAPP_list_char_nat(size_size_list_char,Ys) ) ).
fof(fact_18_list__all2__lengthD,axiom,
! [Pa,Xs,Ys] :
( hBOOL(hAPP_l1176981118y_bool(list_a2075757640har_ty(Pa,Xs),Ys))
=> hAPP_list_val_nat(size_size_list_val,Xs) = hAPP_l540212137ty_nat(size_s1444510216har_ty,Ys) ) ).
fof(fact_19_list__all2__lengthD,axiom,
! [Pa,Xs,Ys] :
( hBOOL(hAPP_l492540231l_bool(list_a1609582481ar_val(Pa,Xs),Ys))
=> hAPP_list_val_nat(size_size_list_val,Xs) = hAPP_l1280603808al_nat(size_s760178257ar_val,Ys) ) ).
fof(fact_20_list__all2__lengthD,axiom,
! [Pa,Xs,Ys] :
( hBOOL(hAPP_l292106447y_bool(list_a1462908359ion_ty(Pa,Xs),Ys))
=> hAPP_list_val_nat(size_size_list_val,Xs) = hAPP_l289305880ty_nat(size_s1050794909ion_ty,Ys) ) ).
fof(fact_21_list__all2__lengthD,axiom,
! [Pa,Xs,Ys] :
( hBOOL(hAPP_l1440102849l_bool(list_a288514022on_val(Pa,Xs),Ys))
=> hAPP_l452123639ar_nat(size_s1143674878t_char,Xs) = hAPP_l1766199206al_nat(size_s470606735on_val,Ys) ) ).
fof(fact_22_list__all2__lengthD,axiom,
! [Pa,Xs,Ys] :
( hBOOL(hAPP_l2060099886l_bool(list_a2080147979on_val(Pa,Xs),Ys))
=> hAPP_l452123639ar_nat(size_s1143674878t_char,Xs) = hAPP_l1746926841al_nat(size_s60479160on_val,Ys) ) ).
fof(fact_23_list__all2__lengthD,axiom,
! [Pa,Xs,Ys] :
( hBOOL(hAPP_list_char_bool(list_a1552939645r_char(Pa,Xs),Ys))
=> hAPP_l452123639ar_nat(size_s1143674878t_char,Xs) = hAPP_list_char_nat(size_size_list_char,Ys) ) ).
fof(fact_24_list__all2__lengthD,axiom,
! [Pa,Xs,Ys] :
( hBOOL(hAPP_l1176981118y_bool(list_a623412059har_ty(Pa,Xs),Ys))
=> hAPP_l452123639ar_nat(size_s1143674878t_char,Xs) = hAPP_l540212137ty_nat(size_s1444510216har_ty,Ys) ) ).
fof(fact_25_list__all2__lengthD,axiom,
! [Pa,Xs,Ys] :
( hBOOL(hAPP_l492540231l_bool(list_a1554965796ar_val(Pa,Xs),Ys))
=> hAPP_l452123639ar_nat(size_s1143674878t_char,Xs) = hAPP_l1280603808al_nat(size_s760178257ar_val,Ys) ) ).
fof(fact_26_list__all2__lengthD,axiom,
! [Pa,Xs,Ys] :
( hBOOL(hAPP_l292106447y_bool(list_a52822260ion_ty(Pa,Xs),Ys))
=> hAPP_l452123639ar_nat(size_s1143674878t_char,Xs) = hAPP_l289305880ty_nat(size_s1050794909ion_ty,Ys) ) ).
fof(fact_27_list__all2__lengthD,axiom,
! [Pa,Xs,Ys] :
( hBOOL(hAPP_l1948381865r_bool(list_a1169722591t_char(Pa,Xs),Ys))
=> hAPP_l1766199206al_nat(size_s470606735on_val,Xs) = hAPP_l66428094ar_nat(size_s2113983095t_char,Ys) ) ).
fof(fact_28_list__all2__lengthD,axiom,
! [Pa,Xs,Ys] :
( hBOOL(hAPP_l1948381865r_bool(list_a292640256t_char(Pa,Xs),Ys))
=> hAPP_l1746926841al_nat(size_s60479160on_val,Xs) = hAPP_l66428094ar_nat(size_s2113983095t_char,Ys) ) ).
fof(fact_29_list__all2__lengthD,axiom,
! [Pa,Xs,Ys] :
( hBOOL(hAPP_l1948381865r_bool(list_a1337954418t_char(Pa,Xs),Ys))
=> hAPP_list_char_nat(size_size_list_char,Xs) = hAPP_l66428094ar_nat(size_s2113983095t_char,Ys) ) ).
fof(fact_30_list__all2__lengthD,axiom,
! [Pa,Xs,Ys] :
( hBOOL(hAPP_l1948381865r_bool(list_a1479679312t_char(Pa,Xs),Ys))
=> hAPP_l540212137ty_nat(size_s1444510216har_ty,Xs) = hAPP_l66428094ar_nat(size_s2113983095t_char,Ys) ) ).
fof(fact_31_list__all2__lengthD,axiom,
! [Pa,Xs,Ys] :
( hBOOL(hAPP_l1948381865r_bool(list_a24143385t_char(Pa,Xs),Ys))
=> hAPP_l1280603808al_nat(size_s760178257ar_val,Xs) = hAPP_l66428094ar_nat(size_s2113983095t_char,Ys) ) ).
fof(fact_32_list__all2__lengthD,axiom,
! [Pa,Xs,Ys] :
( hBOOL(hAPP_l1948381865r_bool(list_a839443437t_char(Pa,Xs),Ys))
=> hAPP_l289305880ty_nat(size_s1050794909ion_ty,Xs) = hAPP_l66428094ar_nat(size_s2113983095t_char,Ys) ) ).
fof(fact_33_list__all2__lengthD,axiom,
! [Pa,Xs,Ys] :
( hBOOL(hAPP_list_ty_bool(list_a182912018val_ty(Pa,Xs),Ys))
=> hAPP_l1766199206al_nat(size_s470606735on_val,Xs) = hAPP_list_ty_nat(size_size_list_ty,Ys) ) ).
fof(fact_34_list__all2__lengthD,axiom,
! [Pa,Xs,Ys] :
( hBOOL(hAPP_list_ty_bool(list_a2001304881val_ty(Pa,Xs),Ys))
=> hAPP_l1746926841al_nat(size_s60479160on_val,Xs) = hAPP_list_ty_nat(size_size_list_ty,Ys) ) ).
fof(fact_35_list__all2__lengthD,axiom,
! [Pa,Xs,Ys] :
( hBOOL(hAPP_list_ty_bool(list_all2_char_ty(Pa,Xs),Ys))
=> hAPP_list_char_nat(size_size_list_char,Xs) = hAPP_list_ty_nat(size_size_list_ty,Ys) ) ).
fof(fact_36_list__all2__lengthD,axiom,
! [Pa,Xs,Ys] :
( hBOOL(hAPP_list_ty_bool(list_a985311713_ty_ty(Pa,Xs),Ys))
=> hAPP_l540212137ty_nat(size_s1444510216har_ty,Xs) = hAPP_list_ty_nat(size_size_list_ty,Ys) ) ).
fof(fact_37_list__all2__lengthD,axiom,
! [Pa,Xs,Ys] :
( hBOOL(hAPP_list_ty_bool(list_a307207512val_ty(Pa,Xs),Ys))
=> hAPP_l1280603808al_nat(size_s760178257ar_val,Xs) = hAPP_list_ty_nat(size_size_list_ty,Ys) ) ).
fof(fact_38_list__all2__lengthD,axiom,
! [Pa,Xs,Ys] :
( hBOOL(hAPP_list_ty_bool(list_a2039389316_ty_ty(Pa,Xs),Ys))
=> hAPP_l289305880ty_nat(size_s1050794909ion_ty,Xs) = hAPP_list_ty_nat(size_size_list_ty,Ys) ) ).
fof(fact_39_list__all2__lengthD,axiom,
! [Pa,Xs,Ys] :
( hBOOL(hAPP_list_val_bool(list_a595061083al_val(Pa,Xs),Ys))
=> hAPP_l1766199206al_nat(size_s470606735on_val,Xs) = hAPP_list_val_nat(size_size_list_val,Ys) ) ).
fof(fact_40_list__all2__lengthD,axiom,
! [Pa,Xs,Ys] :
( hBOOL(hAPP_list_val_bool(list_a594658042al_val(Pa,Xs),Ys))
=> hAPP_l1746926841al_nat(size_s60479160on_val,Xs) = hAPP_list_val_nat(size_size_list_val,Ys) ) ).
fof(fact_41_list__all2__lengthD,axiom,
! [Pa,Xs,Ys] :
( hBOOL(hAPP_list_val_bool(list_all2_char_val(Pa,Xs),Ys))
=> hAPP_list_char_nat(size_size_list_char,Xs) = hAPP_list_val_nat(size_size_list_val,Ys) ) ).
fof(fact_42_list__all2__lengthD,axiom,
! [Pa,Xs,Ys] :
( hBOOL(hAPP_list_val_bool(list_a1068996522ty_val(Pa,Xs),Ys))
=> hAPP_l540212137ty_nat(size_s1444510216har_ty,Xs) = hAPP_list_val_nat(size_size_list_val,Ys) ) ).
fof(fact_43_list__all2__lengthD,axiom,
! [Pa,Xs,Ys] :
( hBOOL(hAPP_list_val_bool(list_a1889288097al_val(Pa,Xs),Ys))
=> hAPP_l1280603808al_nat(size_s760178257ar_val,Xs) = hAPP_list_val_nat(size_size_list_val,Ys) ) ).
fof(fact_44_list__all2__lengthD,axiom,
! [Pa,Xs,Ys] :
( hBOOL(hAPP_list_val_bool(list_a1073113293ty_val(Pa,Xs),Ys))
=> hAPP_l289305880ty_nat(size_s1050794909ion_ty,Xs) = hAPP_list_val_nat(size_size_list_val,Ys) ) ).
fof(fact_45_list__all2__lengthD,axiom,
! [Pa,Xs,Ys] :
( hBOOL(hAPP_l1538097584r_bool(list_a1478901862t_char(Pa,Xs),Ys))
=> hAPP_l1766199206al_nat(size_s470606735on_val,Xs) = hAPP_l452123639ar_nat(size_s1143674878t_char,Ys) ) ).
fof(fact_46_list__all2__lengthD,axiom,
! [Pa,Xs,Ys] :
( hBOOL(hAPP_l1538097584r_bool(list_a789546247t_char(Pa,Xs),Ys))
=> hAPP_l1746926841al_nat(size_s60479160on_val,Xs) = hAPP_l452123639ar_nat(size_s1143674878t_char,Ys) ) ).
fof(fact_47_list__all2__lengthD,axiom,
! [Pa,Xs,Ys] :
( hBOOL(hAPP_l1538097584r_bool(list_a196402809t_char(Pa,Xs),Ys))
=> hAPP_list_char_nat(size_size_list_char,Xs) = hAPP_l452123639ar_nat(size_s1143674878t_char,Ys) ) ).
fof(fact_48_list__all2__lengthD,axiom,
! [Pa,Xs,Ys] :
( hBOOL(hAPP_l1538097584r_bool(list_a1822188631t_char(Pa,Xs),Ys))
=> hAPP_l540212137ty_nat(size_s1444510216har_ty,Xs) = hAPP_l452123639ar_nat(size_s1143674878t_char,Ys) ) ).
fof(fact_49_list__all2__lengthD,axiom,
! [Pa,Xs,Ys] :
( hBOOL(hAPP_l1538097584r_bool(list_a422786208t_char(Pa,Xs),Ys))
=> hAPP_l1280603808al_nat(size_s760178257ar_val,Xs) = hAPP_l452123639ar_nat(size_s1143674878t_char,Ys) ) ).
fof(fact_50_list__all2__lengthD,axiom,
! [Pa,Xs,Ys] :
( hBOOL(hAPP_l1538097584r_bool(list_a283687028t_char(Pa,Xs),Ys))
=> hAPP_l289305880ty_nat(size_s1050794909ion_ty,Xs) = hAPP_l452123639ar_nat(size_s1143674878t_char,Ys) ) ).
fof(fact_51_list__all2__lengthD,axiom,
! [Pa,Xs,Ys] :
( hBOOL(hAPP_list_ty_bool(list_all2_ty_ty(Pa,Xs),Ys))
=> hAPP_list_ty_nat(size_size_list_ty,Xs) = hAPP_list_ty_nat(size_size_list_ty,Ys) ) ).
fof(fact_52_list__all2__lengthD,axiom,
! [Pa,Xs,Ys] :
( hBOOL(hAPP_list_ty_bool(list_all2_val_ty(Pa,Xs),Ys))
=> hAPP_list_val_nat(size_size_list_val,Xs) = hAPP_list_ty_nat(size_size_list_ty,Ys) ) ).
fof(fact_53_length__map,axiom,
! [F_1,Xs] : hAPP_l1961350547ty_nat(size_s1518787998har_ty,hAPP_l1910281173har_ty(map_Pr1267419400har_ty(F_1),Xs)) = hAPP_l540212137ty_nat(size_s1444510216har_ty,Xs) ).
fof(fact_54_length__map,axiom,
! [F_1,Xs] : hAPP_l540212137ty_nat(size_s1444510216har_ty,hAPP_l162677262har_ty(map_Pr1471044963har_ty(F_1),Xs)) = hAPP_l1526684570ty_nat(size_s1760542935har_ty,Xs) ).
fof(fact_55_length__map,axiom,
! [F_1,Xs] : hAPP_l1718801839al_nat(size_s1457910402on_val,hAPP_l1790629643on_val(map_li596218076on_val(F_1),Xs)) = hAPP_l49336279al_nat(size_s655688734ar_val,Xs) ).
fof(fact_56_length__map,axiom,
! [F_1,Xs] : hAPP_l49336279al_nat(size_s655688734ar_val,hAPP_l823328606ar_val(map_li912744805ar_val(F_1),Xs)) = hAPP_l23466336ty_nat(size_s764697941har_ty,Xs) ).
fof(fact_57_length__map,axiom,
! [F_1,Xs] : hAPP_l1718801839al_nat(size_s1457910402on_val,hAPP_l721971010on_val(map_li1065623653on_val(F_1),Xs)) = hAPP_l23466336ty_nat(size_s764697941har_ty,Xs) ).
fof(fact_58_length__map,axiom,
! [F_1,Xs] : hAPP_list_nat_nat(size_size_list_nat,hAPP_l248265089st_nat(map_nat_nat(F_1),Xs)) = hAPP_list_nat_nat(size_size_list_nat,Xs) ).
fof(fact_59_length__map,axiom,
! [F_1,Xs] : hAPP_l365675759ar_nat(size_s1010401542t_char,hAPP_l250787541t_char(map_Pr361633150t_char(F_1),Xs)) = hAPP_l365675759ar_nat(size_s1010401542t_char,Xs) ).
fof(fact_60_length__map,axiom,
! [F_1,Xs] : hAPP_l1593094847al_nat(size_s2086378294on_val,hAPP_l1208602837on_val(map_Pr1729094110on_val(F_1),Xs)) = hAPP_l1593094847al_nat(size_s2086378294on_val,Xs) ).
fof(fact_61_length__map,axiom,
! [F_1,Xs] : hAPP_l1794950871al_nat(size_s1699857438on_val,hAPP_l1695428693on_val(map_Pr1655409582on_val(F_1),Xs)) = hAPP_l1794950871al_nat(size_s1699857438on_val,Xs) ).
fof(fact_62_length__map,axiom,
! [F_1,Xs] : hAPP_l66428094ar_nat(size_s2113983095t_char,hAPP_l1664314621t_char(map_Pr1982459768t_char(F_1),Xs)) = hAPP_l1766199206al_nat(size_s470606735on_val,Xs) ).
fof(fact_63_length__map,axiom,
! [F_1,Xs] : hAPP_l66428094ar_nat(size_s2113983095t_char,hAPP_l244703952t_char(map_Pr1152367783t_char(F_1),Xs)) = hAPP_l1746926841al_nat(size_s60479160on_val,Xs) ).
fof(fact_64_length__map,axiom,
! [F_1,Xs] : hAPP_l66428094ar_nat(size_s2113983095t_char,hAPP_l1927076062t_char(map_char_list_char(F_1),Xs)) = hAPP_list_char_nat(size_size_list_char,Xs) ).
fof(fact_65_length__map,axiom,
! [F_1,Xs] : hAPP_l66428094ar_nat(size_s2113983095t_char,hAPP_l632662400t_char(map_Pr197231351t_char(F_1),Xs)) = hAPP_l540212137ty_nat(size_s1444510216har_ty,Xs) ).
fof(fact_66_length__map,axiom,
! [F_1,Xs] : hAPP_l66428094ar_nat(size_s2113983095t_char,hAPP_l1890693879t_char(map_Pr1809410112t_char(F_1),Xs)) = hAPP_l1280603808al_nat(size_s760178257ar_val,Xs) ).
fof(fact_67_length__map,axiom,
! [F_1,Xs] : hAPP_l66428094ar_nat(size_s2113983095t_char,hAPP_l1368737135t_char(map_op1924521862t_char(F_1),Xs)) = hAPP_l289305880ty_nat(size_s1050794909ion_ty,Xs) ).
fof(fact_68_length__map,axiom,
! [F_1,Xs] : hAPP_list_ty_nat(size_size_list_ty,hAPP_l674002314ist_ty(map_Pr58749369val_ty(F_1),Xs)) = hAPP_l1766199206al_nat(size_s470606735on_val,Xs) ).
fof(fact_69_length__map,axiom,
! [F_1,Xs] : hAPP_list_ty_nat(size_size_list_ty,hAPP_l560448119ist_ty(map_Pr401282634val_ty(F_1),Xs)) = hAPP_l1746926841al_nat(size_s60479160on_val,Xs) ).
fof(fact_70_length__map,axiom,
! [F_1,Xs] : hAPP_list_ty_nat(size_size_list_ty,hAPP_l1044806633ist_ty(map_char_ty(F_1),Xs)) = hAPP_list_char_nat(size_size_list_char,Xs) ).
fof(fact_71_length__map,axiom,
! [F_1,Xs] : hAPP_list_ty_nat(size_size_list_ty,hAPP_l1097172935ist_ty(map_Pr1636893690_ty_ty(F_1),Xs)) = hAPP_l540212137ty_nat(size_s1444510216har_ty,Xs) ).
fof(fact_72_length__map,axiom,
! [F_1,Xs] : hAPP_list_ty_nat(size_size_list_ty,hAPP_l1538085392ist_ty(map_Pr199785201val_ty(F_1),Xs)) = hAPP_l1280603808al_nat(size_s760178257ar_val,Xs) ).
fof(fact_73_length__map,axiom,
! [F_1,Xs] : hAPP_list_ty_nat(size_size_list_ty,hAPP_l1583451544ist_ty(map_option_ty_ty(F_1),Xs)) = hAPP_l289305880ty_nat(size_s1050794909ion_ty,Xs) ).
fof(fact_74_length__map,axiom,
! [F_1,Xs] : hAPP_list_val_nat(size_size_list_val,hAPP_l228474410st_val(map_option_val_val(F_1),Xs)) = hAPP_l870066319al_nat(size_s1595297126on_val,Xs) ).
fof(fact_75_length__map,axiom,
! [F_1,Xs] : hAPP_list_val_nat(size_size_list_val,hAPP_l1342091219st_val(map_Pr1583805314al_val(F_1),Xs)) = hAPP_l1766199206al_nat(size_s470606735on_val,Xs) ).
fof(fact_76_length__map,axiom,
! [F_1,Xs] : hAPP_list_val_nat(size_size_list_val,hAPP_l1023956544st_val(map_Pr1730568083al_val(F_1),Xs)) = hAPP_l1746926841al_nat(size_s60479160on_val,Xs) ).
fof(fact_77_length__map,axiom,
! [F_1,Xs] : hAPP_list_val_nat(size_size_list_val,hAPP_l473790130st_val(map_char_val(F_1),Xs)) = hAPP_list_char_nat(size_size_list_char,Xs) ).
fof(fact_78_length__map,axiom,
! [F_1,Xs] : hAPP_list_val_nat(size_size_list_val,hAPP_l1473803152st_val(map_Pr961574211ty_val(F_1),Xs)) = hAPP_l540212137ty_nat(size_s1444510216har_ty,Xs) ).
fof(fact_79_length__map,axiom,
! [F_1,Xs] : hAPP_list_val_nat(size_size_list_val,hAPP_l1523427673st_val(map_Pr1022222522al_val(F_1),Xs)) = hAPP_l1280603808al_nat(size_s760178257ar_val,Xs) ).
fof(fact_80_length__map,axiom,
! [F_1,Xs] : hAPP_list_val_nat(size_size_list_val,hAPP_l336371937st_val(map_option_ty_val(F_1),Xs)) = hAPP_l289305880ty_nat(size_s1050794909ion_ty,Xs) ).
fof(fact_81_length__map,axiom,
! [F_1,Xs] : hAPP_l452123639ar_nat(size_s1143674878t_char,hAPP_l1683732356t_char(map_Pr1211171455t_char(F_1),Xs)) = hAPP_l1766199206al_nat(size_s470606735on_val,Xs) ).
fof(fact_82_length__map,axiom,
! [F_1,Xs] : hAPP_l452123639ar_nat(size_s1143674878t_char,hAPP_l2043127767t_char(map_Pr161410094t_char(F_1),Xs)) = hAPP_l1746926841al_nat(size_s60479160on_val,Xs) ).
fof(fact_83_length__map,axiom,
! [F_1,Xs] : hAPP_l452123639ar_nat(size_s1143674878t_char,hAPP_l925187813t_char(map_ch278031520t_char(F_1),Xs)) = hAPP_list_char_nat(size_size_list_char,Xs) ).
fof(fact_84_length__map,axiom,
! [F_1,Xs] : hAPP_l452123639ar_nat(size_s1143674878t_char,hAPP_l2038191751t_char(map_Pr863062654t_char(F_1),Xs)) = hAPP_l540212137ty_nat(size_s1444510216har_ty,Xs) ).
fof(fact_85_length__map,axiom,
! [F_1,Xs] : hAPP_l452123639ar_nat(size_s1143674878t_char,hAPP_l347191422t_char(map_Pr187266887t_char(F_1),Xs)) = hAPP_l1280603808al_nat(size_s760178257ar_val,Xs) ).
fof(fact_86_length__map,axiom,
! [F_1,Xs] : hAPP_l452123639ar_nat(size_s1143674878t_char,hAPP_l330149622t_char(map_op1779340173t_char(F_1),Xs)) = hAPP_l289305880ty_nat(size_s1050794909ion_ty,Xs) ).
fof(fact_87_length__map,axiom,
! [F_1,Xs] : hAPP_l870066319al_nat(size_s1595297126on_val,hAPP_l297961988on_val(map_li50976719on_val(F_1),Xs)) = hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) ).
fof(fact_88_length__map,axiom,
! [F_1,Xs] : hAPP_l66428094ar_nat(size_s2113983095t_char,hAPP_l407174677t_char(map_li1333403488t_char(F_1),Xs)) = hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) ).
fof(fact_89_length__map,axiom,
! [F_1,Xs] : hAPP_l1766199206al_nat(size_s470606735on_val,hAPP_l1956999469on_val(map_li1622452344on_val(F_1),Xs)) = hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) ).
fof(fact_90_length__map,axiom,
! [F_1,Xs] : hAPP_l1746926841al_nat(size_s60479160on_val,hAPP_l713251482on_val(map_li586533881on_val(F_1),Xs)) = hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) ).
fof(fact_91_length__map,axiom,
! [F_1,Xs] : hAPP_list_char_nat(size_size_list_char,hAPP_l838080012t_char(map_list_char_char(F_1),Xs)) = hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) ).
fof(fact_92_length__map,axiom,
! [F_1,Xs] : hAPP_l540212137ty_nat(size_s1444510216har_ty,hAPP_l1261744106har_ty(map_li1980326729har_ty(F_1),Xs)) = hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) ).
fof(fact_93_length__map,axiom,
! [F_1,Xs] : hAPP_l1280603808al_nat(size_s760178257ar_val,hAPP_l1298778931ar_val(map_li37924370ar_val(F_1),Xs)) = hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) ).
fof(fact_94_length__map,axiom,
! [F_1,Xs] : hAPP_l289305880ty_nat(size_s1050794909ion_ty,hAPP_l1491470139ion_ty(map_li771939206ion_ty(F_1),Xs)) = hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) ).
fof(fact_95_length__map,axiom,
! [F_1,Xs] : hAPP_l1766199206al_nat(size_s470606735on_val,hAPP_l273343760on_val(map_ty268240023on_val(F_1),Xs)) = hAPP_list_ty_nat(size_size_list_ty,Xs) ).
fof(fact_96_length__map,axiom,
! [F_1,Xs] : hAPP_l1746926841al_nat(size_s60479160on_val,hAPP_l664719479on_val(map_ty763542682on_val(F_1),Xs)) = hAPP_list_ty_nat(size_size_list_ty,Xs) ).
fof(fact_97_length__map,axiom,
! [F_1,Xs] : hAPP_list_char_nat(size_size_list_char,hAPP_l1705142505t_char(map_ty_char(F_1),Xs)) = hAPP_list_ty_nat(size_size_list_ty,Xs) ).
fof(fact_98_length__map,axiom,
! [F_1,Xs] : hAPP_l540212137ty_nat(size_s1444510216har_ty,hAPP_l499600071har_ty(map_ty1511906538har_ty(F_1),Xs)) = hAPP_list_ty_nat(size_size_list_ty,Xs) ).
fof(fact_99_length__map,axiom,
! [F_1,Xs] : hAPP_l1280603808al_nat(size_s760178257ar_val,hAPP_l958580624ar_val(map_ty15886131ar_val(F_1),Xs)) = hAPP_list_ty_nat(size_size_list_ty,Xs) ).
fof(fact_100_length__map,axiom,
! [F_1,Xs] : hAPP_l1766199206al_nat(size_s470606735on_val,hAPP_l1097436295on_val(map_va1077464032on_val(F_1),Xs)) = hAPP_list_val_nat(size_size_list_val,Xs) ).
fof(fact_101_length__map,axiom,
! [F_1,Xs] : hAPP_l1746926841al_nat(size_s60479160on_val,hAPP_l863146944on_val(map_va828275345on_val(F_1),Xs)) = hAPP_list_val_nat(size_size_list_val,Xs) ).
fof(fact_102_length__map,axiom,
! [F_1,Xs] : hAPP_list_char_nat(size_size_list_char,hAPP_l281179442t_char(map_val_char(F_1),Xs)) = hAPP_list_val_nat(size_size_list_val,Xs) ).
fof(fact_103_length__map,axiom,
! [F_1,Xs] : hAPP_l540212137ty_nat(size_s1444510216har_ty,hAPP_l220561168har_ty(map_va1968335329har_ty(F_1),Xs)) = hAPP_list_val_nat(size_size_list_val,Xs) ).
fof(fact_104_length__map,axiom,
! [F_1,Xs] : hAPP_l1280603808al_nat(size_s760178257ar_val,hAPP_l412706649ar_val(map_va742516906ar_val(F_1),Xs)) = hAPP_list_val_nat(size_size_list_val,Xs) ).
fof(fact_105_length__map,axiom,
! [F_1,Xs] : hAPP_l1766199206al_nat(size_s470606735on_val,hAPP_l897806566on_val(map_ex20783615on_val(F_1),Xs)) = hAPP_l452123639ar_nat(size_s1143674878t_char,Xs) ).
fof(fact_106_length__map,axiom,
! [F_1,Xs] : hAPP_l1746926841al_nat(size_s60479160on_val,hAPP_l1429130273on_val(map_ex1452011826on_val(F_1),Xs)) = hAPP_l452123639ar_nat(size_s1143674878t_char,Xs) ).
fof(fact_107_length__map,axiom,
! [F_1,Xs] : hAPP_list_char_nat(size_size_list_char,hAPP_l89656979t_char(map_ex1634568356r_char(F_1),Xs)) = hAPP_l452123639ar_nat(size_s1143674878t_char,Xs) ).
fof(fact_108_length__map,axiom,
! [F_1,Xs] : hAPP_l540212137ty_nat(size_s1444510216har_ty,hAPP_l527892593har_ty(map_ex1811769730har_ty(F_1),Xs)) = hAPP_l452123639ar_nat(size_s1143674878t_char,Xs) ).
fof(fact_109_length__map,axiom,
! [F_1,Xs] : hAPP_l1280603808al_nat(size_s760178257ar_val,hAPP_l1207846970ar_val(map_ex1319446475ar_val(F_1),Xs)) = hAPP_l452123639ar_nat(size_s1143674878t_char,Xs) ).
fof(fact_110_length__map,axiom,
! [F_1,Xs] : hAPP_l289305880ty_nat(size_s1050794909ion_ty,hAPP_l1002225652ion_ty(map_ex1548475405ion_ty(F_1),Xs)) = hAPP_l452123639ar_nat(size_s1143674878t_char,Xs) ).
fof(fact_111_length__map,axiom,
! [F_1,Xs] : hAPP_l289305880ty_nat(size_s1050794909ion_ty,hAPP_l2006940821ion_ty(map_val_option_ty(F_1),Xs)) = hAPP_list_val_nat(size_size_list_val,Xs) ).
fof(fact_112_length__map,axiom,
! [F_1,Xs] : hAPP_l289305880ty_nat(size_s1050794909ion_ty,hAPP_l1487035934ion_ty(map_ty_option_ty(F_1),Xs)) = hAPP_list_ty_nat(size_size_list_ty,Xs) ).
fof(fact_113_length__map,axiom,
! [F_1,Xs] : hAPP_l452123639ar_nat(size_s1143674878t_char,hAPP_l732421366t_char(map_va1934808527t_char(F_1),Xs)) = hAPP_list_val_nat(size_size_list_val,Xs) ).
fof(fact_114_length__map,axiom,
! [F_1,Xs] : hAPP_list_val_nat(size_size_list_val,hAPP_l1892737211st_val(map_list_char_val(F_1),Xs)) = hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) ).
fof(fact_115_length__map,axiom,
! [F_1,Xs] : hAPP_l1280603808al_nat(size_s760178257ar_val,hAPP_l608137480ar_val(map_Pr1153581243ar_val(F_1),Xs)) = hAPP_l540212137ty_nat(size_s1444510216har_ty,Xs) ).
fof(fact_116_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1336021888har_ty(map_li56668639har_ty(F_1),Xs) = hAPP_l1910281173har_ty(map_Pr1267419400har_ty(G),Ys)
=> hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_l540212137ty_nat(size_s1444510216har_ty,Ys) ) ).
fof(fact_117_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1261744106har_ty(map_li1980326729har_ty(F_1),Xs) = hAPP_l162677262har_ty(map_Pr1471044963har_ty(G),Ys)
=> hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_l1526684570ty_nat(size_s1760542935har_ty,Ys) ) ).
fof(fact_118_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l164125796on_val(map_li1461022915on_val(F_1),Xs) = hAPP_l1790629643on_val(map_li596218076on_val(G),Ys)
=> hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_l49336279al_nat(size_s655688734ar_val,Ys) ) ).
fof(fact_119_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1975021756ar_val(map_li401377927ar_val(F_1),Xs) = hAPP_l823328606ar_val(map_li912744805ar_val(G),Ys)
=> hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_l23466336ty_nat(size_s764697941har_ty,Ys) ) ).
fof(fact_120_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l164125796on_val(map_li1461022915on_val(F_1),Xs) = hAPP_l721971010on_val(map_li1065623653on_val(G),Ys)
=> hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_l23466336ty_nat(size_s764697941har_ty,Ys) ) ).
fof(fact_121_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1111097995st_nat(map_list_char_nat(F_1),Xs) = hAPP_l248265089st_nat(map_nat_nat(G),Ys)
=> hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_list_nat_nat(size_size_list_nat,Ys) ) ).
fof(fact_122_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1416713636t_char(map_li239070063t_char(F_1),Xs) = hAPP_l250787541t_char(map_Pr361633150t_char(G),Ys)
=> hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_l365675759ar_nat(size_s1010401542t_char,Ys) ) ).
fof(fact_123_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l2122855380on_val(map_li1925379487on_val(F_1),Xs) = hAPP_l1208602837on_val(map_Pr1729094110on_val(G),Ys)
=> hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_l1593094847al_nat(size_s2086378294on_val,Ys) ) ).
fof(fact_124_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l418486716on_val(map_li1100402823on_val(F_1),Xs) = hAPP_l1695428693on_val(map_Pr1655409582on_val(G),Ys)
=> hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_l1794950871al_nat(size_s1699857438on_val,Ys) ) ).
fof(fact_125_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l573877853har_ty(map_ty1735732096har_ty(F_1),Xs) = hAPP_l1910281173har_ty(map_Pr1267419400har_ty(G),Ys)
=> hAPP_list_ty_nat(size_size_list_ty,Xs) = hAPP_l540212137ty_nat(size_s1444510216har_ty,Ys) ) ).
fof(fact_126_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l499600071har_ty(map_ty1511906538har_ty(F_1),Xs) = hAPP_l162677262har_ty(map_Pr1471044963har_ty(G),Ys)
=> hAPP_list_ty_nat(size_size_list_ty,Xs) = hAPP_l1526684570ty_nat(size_s1760542935har_ty,Ys) ) ).
fof(fact_127_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l642124097on_val(map_ty330392676on_val(F_1),Xs) = hAPP_l1790629643on_val(map_li596218076on_val(G),Ys)
=> hAPP_list_ty_nat(size_size_list_ty,Xs) = hAPP_l49336279al_nat(size_s655688734ar_val,Ys) ) ).
fof(fact_128_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l654786079ar_val(map_ty217218598ar_val(F_1),Xs) = hAPP_l823328606ar_val(map_li912744805ar_val(G),Ys)
=> hAPP_list_ty_nat(size_size_list_ty,Xs) = hAPP_l23466336ty_nat(size_s764697941har_ty,Ys) ) ).
fof(fact_129_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l642124097on_val(map_ty330392676on_val(F_1),Xs) = hAPP_l721971010on_val(map_li1065623653on_val(G),Ys)
=> hAPP_list_ty_nat(size_size_list_ty,Xs) = hAPP_l23466336ty_nat(size_s764697941har_ty,Ys) ) ).
fof(fact_130_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1530663448st_val(map_ty_val(F_1),Xs) = hAPP_l228474410st_val(map_option_val_val(G),Ys)
=> hAPP_list_ty_nat(size_size_list_ty,Xs) = hAPP_l870066319al_nat(size_s1595297126on_val,Ys) ) ).
fof(fact_131_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1014734695on_val(map_ty_option_val(F_1),Xs) = hAPP_l297961988on_val(map_li50976719on_val(G),Ys)
=> hAPP_list_ty_nat(size_size_list_ty,Xs) = hAPP_l66428094ar_nat(size_s2113983095t_char,Ys) ) ).
fof(fact_132_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l402740472t_char(map_ty_list_char(F_1),Xs) = hAPP_l407174677t_char(map_li1333403488t_char(G),Ys)
=> hAPP_list_ty_nat(size_size_list_ty,Xs) = hAPP_l66428094ar_nat(size_s2113983095t_char,Ys) ) ).
fof(fact_133_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l277434984st_nat(map_ty_nat(F_1),Xs) = hAPP_l248265089st_nat(map_nat_nat(G),Ys)
=> hAPP_list_ty_nat(size_size_list_ty,Xs) = hAPP_list_nat_nat(size_size_list_nat,Ys) ) ).
fof(fact_134_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1218266887t_char(map_ty1751634702t_char(F_1),Xs) = hAPP_l250787541t_char(map_Pr361633150t_char(G),Ys)
=> hAPP_list_ty_nat(size_size_list_ty,Xs) = hAPP_l365675759ar_nat(size_s1010401542t_char,Ys) ) ).
fof(fact_135_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l2092195639on_val(map_ty1597677374on_val(F_1),Xs) = hAPP_l1208602837on_val(map_Pr1729094110on_val(G),Ys)
=> hAPP_list_ty_nat(size_size_list_ty,Xs) = hAPP_l1593094847al_nat(size_s2086378294on_val,Ys) ) ).
fof(fact_136_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1634001311on_val(map_ty891785382on_val(F_1),Xs) = hAPP_l1695428693on_val(map_Pr1655409582on_val(G),Ys)
=> hAPP_list_ty_nat(size_size_list_ty,Xs) = hAPP_l1794950871al_nat(size_s1699857438on_val,Ys) ) ).
fof(fact_137_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l294838950har_ty(map_va44677239har_ty(F_1),Xs) = hAPP_l1910281173har_ty(map_Pr1267419400har_ty(G),Ys)
=> hAPP_list_val_nat(size_size_list_val,Xs) = hAPP_l540212137ty_nat(size_s1444510216har_ty,Ys) ) ).
fof(fact_138_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l220561168har_ty(map_va1968335329har_ty(F_1),Xs) = hAPP_l162677262har_ty(map_Pr1471044963har_ty(G),Ys)
=> hAPP_list_val_nat(size_size_list_val,Xs) = hAPP_l1526684570ty_nat(size_s1760542935har_ty,Ys) ) ).
fof(fact_139_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1725810570on_val(map_va1286924123on_val(F_1),Xs) = hAPP_l1790629643on_val(map_li596218076on_val(G),Ys)
=> hAPP_list_val_nat(size_size_list_val,Xs) = hAPP_l49336279al_nat(size_s655688734ar_val,Ys) ) ).
fof(fact_140_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1426221334ar_val(map_va45294063ar_val(F_1),Xs) = hAPP_l823328606ar_val(map_li912744805ar_val(G),Ys)
=> hAPP_list_val_nat(size_size_list_val,Xs) = hAPP_l23466336ty_nat(size_s764697941har_ty,Ys) ) ).
fof(fact_141_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1725810570on_val(map_va1286924123on_val(F_1),Xs) = hAPP_l721971010on_val(map_li1065623653on_val(G),Ys)
=> hAPP_list_val_nat(size_size_list_val,Xs) = hAPP_l23466336ty_nat(size_s764697941har_ty,Ys) ) ).
fof(fact_142_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l273806049st_val(map_val_val(F_1),Xs) = hAPP_l228474410st_val(map_option_val_val(G),Ys)
=> hAPP_list_val_nat(size_size_list_val,Xs) = hAPP_l870066319al_nat(size_s1595297126on_val,Ys) ) ).
fof(fact_143_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l761459294on_val(map_val_option_val(F_1),Xs) = hAPP_l297961988on_val(map_li50976719on_val(G),Ys)
=> hAPP_list_val_nat(size_size_list_val,Xs) = hAPP_l66428094ar_nat(size_s2113983095t_char,Ys) ) ).
fof(fact_144_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l922645359t_char(map_val_list_char(F_1),Xs) = hAPP_l407174677t_char(map_li1333403488t_char(G),Ys)
=> hAPP_list_val_nat(size_size_list_val,Xs) = hAPP_l66428094ar_nat(size_s2113983095t_char,Ys) ) ).
fof(fact_145_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l324487089st_nat(map_val_nat(F_1),Xs) = hAPP_l248265089st_nat(map_nat_nat(G),Ys)
=> hAPP_list_val_nat(size_size_list_val,Xs) = hAPP_list_nat_nat(size_size_list_nat,Ys) ) ).
fof(fact_146_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1687586302t_char(map_va234578647t_char(F_1),Xs) = hAPP_l250787541t_char(map_Pr361633150t_char(G),Ys)
=> hAPP_list_val_nat(size_size_list_val,Xs) = hAPP_l365675759ar_nat(size_s1010401542t_char,Ys) ) ).
fof(fact_147_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1134997550on_val(map_va787979527on_val(F_1),Xs) = hAPP_l1208602837on_val(map_Pr1729094110on_val(G),Ys)
=> hAPP_list_val_nat(size_size_list_val,Xs) = hAPP_l1593094847al_nat(size_s2086378294on_val,Ys) ) ).
fof(fact_148_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l382831894on_val(map_va527586287on_val(F_1),Xs) = hAPP_l1695428693on_val(map_Pr1655409582on_val(G),Ys)
=> hAPP_list_val_nat(size_size_list_val,Xs) = hAPP_l1794950871al_nat(size_s1699857438on_val,Ys) ) ).
fof(fact_149_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l602170375har_ty(map_ex2035595288har_ty(F_1),Xs) = hAPP_l1910281173har_ty(map_Pr1267419400har_ty(G),Ys)
=> hAPP_l452123639ar_nat(size_s1143674878t_char,Xs) = hAPP_l540212137ty_nat(size_s1444510216har_ty,Ys) ) ).
fof(fact_150_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l527892593har_ty(map_ex1811769730har_ty(F_1),Xs) = hAPP_l162677262har_ty(map_Pr1471044963har_ty(G),Ys)
=> hAPP_l452123639ar_nat(size_s1143674878t_char,Xs) = hAPP_l1526684570ty_nat(size_s1760542935har_ty,Ys) ) ).
fof(fact_151_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1463304939on_val(map_ex1279484156on_val(F_1),Xs) = hAPP_l1790629643on_val(map_li596218076on_val(G),Ys)
=> hAPP_l452123639ar_nat(size_s1143674878t_char,Xs) = hAPP_l49336279al_nat(size_s655688734ar_val,Ys) ) ).
fof(fact_152_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l121373941ar_val(map_ex178392974ar_val(F_1),Xs) = hAPP_l823328606ar_val(map_li912744805ar_val(G),Ys)
=> hAPP_l452123639ar_nat(size_s1143674878t_char,Xs) = hAPP_l23466336ty_nat(size_s764697941har_ty,Ys) ) ).
fof(fact_153_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1463304939on_val(map_ex1279484156on_val(F_1),Xs) = hAPP_l721971010on_val(map_li1065623653on_val(G),Ys)
=> hAPP_l452123639ar_nat(size_s1143674878t_char,Xs) = hAPP_l23466336ty_nat(size_s764697941har_ty,Ys) ) ).
fof(fact_154_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1539861698st_val(map_ex740158547ar_val(F_1),Xs) = hAPP_l228474410st_val(map_option_val_val(G),Ys)
=> hAPP_l452123639ar_nat(size_s1143674878t_char,Xs) = hAPP_l870066319al_nat(size_s1595297126on_val,Ys) ) ).
fof(fact_155_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1607890493on_val(map_ex1598883030on_val(F_1),Xs) = hAPP_l297961988on_val(map_li50976719on_val(G),Ys)
=> hAPP_l452123639ar_nat(size_s1143674878t_char,Xs) = hAPP_l66428094ar_nat(size_s2113983095t_char,Ys) ) ).
fof(fact_156_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l2065413838t_char(map_ex2109939687t_char(F_1),Xs) = hAPP_l407174677t_char(map_li1333403488t_char(G),Ys)
=> hAPP_l452123639ar_nat(size_s1143674878t_char,Xs) = hAPP_l66428094ar_nat(size_s2113983095t_char,Ys) ) ).
fof(fact_157_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1496769042st_nat(map_ex1185884067ar_nat(F_1),Xs) = hAPP_l248265089st_nat(map_nat_nat(G),Ys)
=> hAPP_l452123639ar_nat(size_s1143674878t_char,Xs) = hAPP_list_nat_nat(size_size_list_nat,Ys) ) ).
fof(fact_158_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1379210717t_char(map_ex230966390t_char(F_1),Xs) = hAPP_l250787541t_char(map_Pr361633150t_char(G),Ys)
=> hAPP_l452123639ar_nat(size_s1143674878t_char,Xs) = hAPP_l365675759ar_nat(size_s1010401542t_char,Ys) ) ).
fof(fact_159_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1585742349on_val(map_ex2031894694on_val(F_1),Xs) = hAPP_l1208602837on_val(map_Pr1729094110on_val(G),Ys)
=> hAPP_l452123639ar_nat(size_s1143674878t_char,Xs) = hAPP_l1593094847al_nat(size_s2086378294on_val,Ys) ) ).
fof(fact_160_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1557845365on_val(map_ex840371726on_val(F_1),Xs) = hAPP_l1695428693on_val(map_Pr1655409582on_val(G),Ys)
=> hAPP_l452123639ar_nat(size_s1143674878t_char,Xs) = hAPP_l1794950871al_nat(size_s1699857438on_val,Ys) ) ).
fof(fact_161_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1910281173har_ty(map_Pr1267419400har_ty(F_1),Xs) = hAPP_l1336021888har_ty(map_li56668639har_ty(G),Ys)
=> hAPP_l540212137ty_nat(size_s1444510216har_ty,Xs) = hAPP_l66428094ar_nat(size_s2113983095t_char,Ys) ) ).
fof(fact_162_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l162677262har_ty(map_Pr1471044963har_ty(F_1),Xs) = hAPP_l1261744106har_ty(map_li1980326729har_ty(G),Ys)
=> hAPP_l1526684570ty_nat(size_s1760542935har_ty,Xs) = hAPP_l66428094ar_nat(size_s2113983095t_char,Ys) ) ).
fof(fact_163_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1790629643on_val(map_li596218076on_val(F_1),Xs) = hAPP_l164125796on_val(map_li1461022915on_val(G),Ys)
=> hAPP_l49336279al_nat(size_s655688734ar_val,Xs) = hAPP_l66428094ar_nat(size_s2113983095t_char,Ys) ) ).
fof(fact_164_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l823328606ar_val(map_li912744805ar_val(F_1),Xs) = hAPP_l1975021756ar_val(map_li401377927ar_val(G),Ys)
=> hAPP_l23466336ty_nat(size_s764697941har_ty,Xs) = hAPP_l66428094ar_nat(size_s2113983095t_char,Ys) ) ).
fof(fact_165_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l721971010on_val(map_li1065623653on_val(F_1),Xs) = hAPP_l164125796on_val(map_li1461022915on_val(G),Ys)
=> hAPP_l23466336ty_nat(size_s764697941har_ty,Xs) = hAPP_l66428094ar_nat(size_s2113983095t_char,Ys) ) ).
fof(fact_166_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l297961988on_val(map_li50976719on_val(F_1),Xs) = hAPP_l297961988on_val(map_li50976719on_val(G),Ys)
=> hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_l66428094ar_nat(size_s2113983095t_char,Ys) ) ).
fof(fact_167_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l407174677t_char(map_li1333403488t_char(F_1),Xs) = hAPP_l407174677t_char(map_li1333403488t_char(G),Ys)
=> hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_l66428094ar_nat(size_s2113983095t_char,Ys) ) ).
fof(fact_168_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l248265089st_nat(map_nat_nat(F_1),Xs) = hAPP_l1111097995st_nat(map_list_char_nat(G),Ys)
=> hAPP_list_nat_nat(size_size_list_nat,Xs) = hAPP_l66428094ar_nat(size_s2113983095t_char,Ys) ) ).
fof(fact_169_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l250787541t_char(map_Pr361633150t_char(F_1),Xs) = hAPP_l1416713636t_char(map_li239070063t_char(G),Ys)
=> hAPP_l365675759ar_nat(size_s1010401542t_char,Xs) = hAPP_l66428094ar_nat(size_s2113983095t_char,Ys) ) ).
fof(fact_170_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1208602837on_val(map_Pr1729094110on_val(F_1),Xs) = hAPP_l2122855380on_val(map_li1925379487on_val(G),Ys)
=> hAPP_l1593094847al_nat(size_s2086378294on_val,Xs) = hAPP_l66428094ar_nat(size_s2113983095t_char,Ys) ) ).
fof(fact_171_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1695428693on_val(map_Pr1655409582on_val(F_1),Xs) = hAPP_l418486716on_val(map_li1100402823on_val(G),Ys)
=> hAPP_l1794950871al_nat(size_s1699857438on_val,Xs) = hAPP_l66428094ar_nat(size_s2113983095t_char,Ys) ) ).
fof(fact_172_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1910281173har_ty(map_Pr1267419400har_ty(F_1),Xs) = hAPP_l573877853har_ty(map_ty1735732096har_ty(G),Ys)
=> hAPP_l540212137ty_nat(size_s1444510216har_ty,Xs) = hAPP_list_ty_nat(size_size_list_ty,Ys) ) ).
fof(fact_173_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l162677262har_ty(map_Pr1471044963har_ty(F_1),Xs) = hAPP_l499600071har_ty(map_ty1511906538har_ty(G),Ys)
=> hAPP_l1526684570ty_nat(size_s1760542935har_ty,Xs) = hAPP_list_ty_nat(size_size_list_ty,Ys) ) ).
fof(fact_174_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1790629643on_val(map_li596218076on_val(F_1),Xs) = hAPP_l642124097on_val(map_ty330392676on_val(G),Ys)
=> hAPP_l49336279al_nat(size_s655688734ar_val,Xs) = hAPP_list_ty_nat(size_size_list_ty,Ys) ) ).
fof(fact_175_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l823328606ar_val(map_li912744805ar_val(F_1),Xs) = hAPP_l654786079ar_val(map_ty217218598ar_val(G),Ys)
=> hAPP_l23466336ty_nat(size_s764697941har_ty,Xs) = hAPP_list_ty_nat(size_size_list_ty,Ys) ) ).
fof(fact_176_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l721971010on_val(map_li1065623653on_val(F_1),Xs) = hAPP_l642124097on_val(map_ty330392676on_val(G),Ys)
=> hAPP_l23466336ty_nat(size_s764697941har_ty,Xs) = hAPP_list_ty_nat(size_size_list_ty,Ys) ) ).
fof(fact_177_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l228474410st_val(map_option_val_val(F_1),Xs) = hAPP_l1530663448st_val(map_ty_val(G),Ys)
=> hAPP_l870066319al_nat(size_s1595297126on_val,Xs) = hAPP_list_ty_nat(size_size_list_ty,Ys) ) ).
fof(fact_178_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l297961988on_val(map_li50976719on_val(F_1),Xs) = hAPP_l1014734695on_val(map_ty_option_val(G),Ys)
=> hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_list_ty_nat(size_size_list_ty,Ys) ) ).
fof(fact_179_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l407174677t_char(map_li1333403488t_char(F_1),Xs) = hAPP_l402740472t_char(map_ty_list_char(G),Ys)
=> hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_list_ty_nat(size_size_list_ty,Ys) ) ).
fof(fact_180_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l248265089st_nat(map_nat_nat(F_1),Xs) = hAPP_l277434984st_nat(map_ty_nat(G),Ys)
=> hAPP_list_nat_nat(size_size_list_nat,Xs) = hAPP_list_ty_nat(size_size_list_ty,Ys) ) ).
fof(fact_181_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l250787541t_char(map_Pr361633150t_char(F_1),Xs) = hAPP_l1218266887t_char(map_ty1751634702t_char(G),Ys)
=> hAPP_l365675759ar_nat(size_s1010401542t_char,Xs) = hAPP_list_ty_nat(size_size_list_ty,Ys) ) ).
fof(fact_182_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1208602837on_val(map_Pr1729094110on_val(F_1),Xs) = hAPP_l2092195639on_val(map_ty1597677374on_val(G),Ys)
=> hAPP_l1593094847al_nat(size_s2086378294on_val,Xs) = hAPP_list_ty_nat(size_size_list_ty,Ys) ) ).
fof(fact_183_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1695428693on_val(map_Pr1655409582on_val(F_1),Xs) = hAPP_l1634001311on_val(map_ty891785382on_val(G),Ys)
=> hAPP_l1794950871al_nat(size_s1699857438on_val,Xs) = hAPP_list_ty_nat(size_size_list_ty,Ys) ) ).
fof(fact_184_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1910281173har_ty(map_Pr1267419400har_ty(F_1),Xs) = hAPP_l294838950har_ty(map_va44677239har_ty(G),Ys)
=> hAPP_l540212137ty_nat(size_s1444510216har_ty,Xs) = hAPP_list_val_nat(size_size_list_val,Ys) ) ).
fof(fact_185_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l162677262har_ty(map_Pr1471044963har_ty(F_1),Xs) = hAPP_l220561168har_ty(map_va1968335329har_ty(G),Ys)
=> hAPP_l1526684570ty_nat(size_s1760542935har_ty,Xs) = hAPP_list_val_nat(size_size_list_val,Ys) ) ).
fof(fact_186_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1790629643on_val(map_li596218076on_val(F_1),Xs) = hAPP_l1725810570on_val(map_va1286924123on_val(G),Ys)
=> hAPP_l49336279al_nat(size_s655688734ar_val,Xs) = hAPP_list_val_nat(size_size_list_val,Ys) ) ).
fof(fact_187_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l823328606ar_val(map_li912744805ar_val(F_1),Xs) = hAPP_l1426221334ar_val(map_va45294063ar_val(G),Ys)
=> hAPP_l23466336ty_nat(size_s764697941har_ty,Xs) = hAPP_list_val_nat(size_size_list_val,Ys) ) ).
fof(fact_188_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l721971010on_val(map_li1065623653on_val(F_1),Xs) = hAPP_l1725810570on_val(map_va1286924123on_val(G),Ys)
=> hAPP_l23466336ty_nat(size_s764697941har_ty,Xs) = hAPP_list_val_nat(size_size_list_val,Ys) ) ).
fof(fact_189_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l228474410st_val(map_option_val_val(F_1),Xs) = hAPP_l273806049st_val(map_val_val(G),Ys)
=> hAPP_l870066319al_nat(size_s1595297126on_val,Xs) = hAPP_list_val_nat(size_size_list_val,Ys) ) ).
fof(fact_190_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l297961988on_val(map_li50976719on_val(F_1),Xs) = hAPP_l761459294on_val(map_val_option_val(G),Ys)
=> hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_list_val_nat(size_size_list_val,Ys) ) ).
fof(fact_191_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l407174677t_char(map_li1333403488t_char(F_1),Xs) = hAPP_l922645359t_char(map_val_list_char(G),Ys)
=> hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_list_val_nat(size_size_list_val,Ys) ) ).
fof(fact_192_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l248265089st_nat(map_nat_nat(F_1),Xs) = hAPP_l324487089st_nat(map_val_nat(G),Ys)
=> hAPP_list_nat_nat(size_size_list_nat,Xs) = hAPP_list_val_nat(size_size_list_val,Ys) ) ).
fof(fact_193_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l250787541t_char(map_Pr361633150t_char(F_1),Xs) = hAPP_l1687586302t_char(map_va234578647t_char(G),Ys)
=> hAPP_l365675759ar_nat(size_s1010401542t_char,Xs) = hAPP_list_val_nat(size_size_list_val,Ys) ) ).
fof(fact_194_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1208602837on_val(map_Pr1729094110on_val(F_1),Xs) = hAPP_l1134997550on_val(map_va787979527on_val(G),Ys)
=> hAPP_l1593094847al_nat(size_s2086378294on_val,Xs) = hAPP_list_val_nat(size_size_list_val,Ys) ) ).
fof(fact_195_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1695428693on_val(map_Pr1655409582on_val(F_1),Xs) = hAPP_l382831894on_val(map_va527586287on_val(G),Ys)
=> hAPP_l1794950871al_nat(size_s1699857438on_val,Xs) = hAPP_list_val_nat(size_size_list_val,Ys) ) ).
fof(fact_196_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1910281173har_ty(map_Pr1267419400har_ty(F_1),Xs) = hAPP_l602170375har_ty(map_ex2035595288har_ty(G),Ys)
=> hAPP_l540212137ty_nat(size_s1444510216har_ty,Xs) = hAPP_l452123639ar_nat(size_s1143674878t_char,Ys) ) ).
fof(fact_197_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l162677262har_ty(map_Pr1471044963har_ty(F_1),Xs) = hAPP_l527892593har_ty(map_ex1811769730har_ty(G),Ys)
=> hAPP_l1526684570ty_nat(size_s1760542935har_ty,Xs) = hAPP_l452123639ar_nat(size_s1143674878t_char,Ys) ) ).
fof(fact_198_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1790629643on_val(map_li596218076on_val(F_1),Xs) = hAPP_l1463304939on_val(map_ex1279484156on_val(G),Ys)
=> hAPP_l49336279al_nat(size_s655688734ar_val,Xs) = hAPP_l452123639ar_nat(size_s1143674878t_char,Ys) ) ).
fof(fact_199_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l823328606ar_val(map_li912744805ar_val(F_1),Xs) = hAPP_l121373941ar_val(map_ex178392974ar_val(G),Ys)
=> hAPP_l23466336ty_nat(size_s764697941har_ty,Xs) = hAPP_l452123639ar_nat(size_s1143674878t_char,Ys) ) ).
fof(fact_200_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l721971010on_val(map_li1065623653on_val(F_1),Xs) = hAPP_l1463304939on_val(map_ex1279484156on_val(G),Ys)
=> hAPP_l23466336ty_nat(size_s764697941har_ty,Xs) = hAPP_l452123639ar_nat(size_s1143674878t_char,Ys) ) ).
fof(fact_201_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l228474410st_val(map_option_val_val(F_1),Xs) = hAPP_l1539861698st_val(map_ex740158547ar_val(G),Ys)
=> hAPP_l870066319al_nat(size_s1595297126on_val,Xs) = hAPP_l452123639ar_nat(size_s1143674878t_char,Ys) ) ).
fof(fact_202_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l297961988on_val(map_li50976719on_val(F_1),Xs) = hAPP_l1607890493on_val(map_ex1598883030on_val(G),Ys)
=> hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_l452123639ar_nat(size_s1143674878t_char,Ys) ) ).
fof(fact_203_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l407174677t_char(map_li1333403488t_char(F_1),Xs) = hAPP_l2065413838t_char(map_ex2109939687t_char(G),Ys)
=> hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_l452123639ar_nat(size_s1143674878t_char,Ys) ) ).
fof(fact_204_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l248265089st_nat(map_nat_nat(F_1),Xs) = hAPP_l1496769042st_nat(map_ex1185884067ar_nat(G),Ys)
=> hAPP_list_nat_nat(size_size_list_nat,Xs) = hAPP_l452123639ar_nat(size_s1143674878t_char,Ys) ) ).
fof(fact_205_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l250787541t_char(map_Pr361633150t_char(F_1),Xs) = hAPP_l1379210717t_char(map_ex230966390t_char(G),Ys)
=> hAPP_l365675759ar_nat(size_s1010401542t_char,Xs) = hAPP_l452123639ar_nat(size_s1143674878t_char,Ys) ) ).
fof(fact_206_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1208602837on_val(map_Pr1729094110on_val(F_1),Xs) = hAPP_l1585742349on_val(map_ex2031894694on_val(G),Ys)
=> hAPP_l1593094847al_nat(size_s2086378294on_val,Xs) = hAPP_l452123639ar_nat(size_s1143674878t_char,Ys) ) ).
fof(fact_207_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1695428693on_val(map_Pr1655409582on_val(F_1),Xs) = hAPP_l1557845365on_val(map_ex840371726on_val(G),Ys)
=> hAPP_l1794950871al_nat(size_s1699857438on_val,Xs) = hAPP_l452123639ar_nat(size_s1143674878t_char,Ys) ) ).
fof(fact_208_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l2006940821ion_ty(map_val_option_ty(F_1),Xs) = hAPP_l601126435ion_ty(map_Pr1420995486ion_ty(G),Ys)
=> hAPP_list_val_nat(size_size_list_val,Xs) = hAPP_l1766199206al_nat(size_s470606735on_val,Ys) ) ).
fof(fact_209_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l2006940821ion_ty(map_val_option_ty(F_1),Xs) = hAPP_l1328999414ion_ty(map_Pr590903501ion_ty(G),Ys)
=> hAPP_list_val_nat(size_size_list_val,Xs) = hAPP_l1746926841al_nat(size_s60479160on_val,Ys) ) ).
fof(fact_210_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l2006940821ion_ty(map_val_option_ty(F_1),Xs) = hAPP_l863887876ion_ty(map_char_option_ty(G),Ys)
=> hAPP_list_val_nat(size_size_list_val,Xs) = hAPP_list_char_nat(size_size_list_char,Ys) ) ).
fof(fact_211_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l2006940821ion_ty(map_val_option_ty(F_1),Xs) = hAPP_l1716957862ion_ty(map_Pr1783250717ion_ty(G),Ys)
=> hAPP_list_val_nat(size_size_list_val,Xs) = hAPP_l540212137ty_nat(size_s1444510216har_ty,Ys) ) ).
fof(fact_212_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l2006940821ion_ty(map_val_option_ty(F_1),Xs) = hAPP_l827505693ion_ty(map_Pr1247945830ion_ty(G),Ys)
=> hAPP_list_val_nat(size_size_list_val,Xs) = hAPP_l1280603808al_nat(size_s760178257ar_val,Ys) ) ).
fof(fact_213_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l2006940821ion_ty(map_val_option_ty(F_1),Xs) = hAPP_l305548949ion_ty(map_op1363057580ion_ty(G),Ys)
=> hAPP_list_val_nat(size_size_list_val,Xs) = hAPP_l289305880ty_nat(size_s1050794909ion_ty,Ys) ) ).
fof(fact_214_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1487035934ion_ty(map_ty_option_ty(F_1),Xs) = hAPP_l601126435ion_ty(map_Pr1420995486ion_ty(G),Ys)
=> hAPP_list_ty_nat(size_size_list_ty,Xs) = hAPP_l1766199206al_nat(size_s470606735on_val,Ys) ) ).
fof(fact_215_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1487035934ion_ty(map_ty_option_ty(F_1),Xs) = hAPP_l1328999414ion_ty(map_Pr590903501ion_ty(G),Ys)
=> hAPP_list_ty_nat(size_size_list_ty,Xs) = hAPP_l1746926841al_nat(size_s60479160on_val,Ys) ) ).
fof(fact_216_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1487035934ion_ty(map_ty_option_ty(F_1),Xs) = hAPP_l863887876ion_ty(map_char_option_ty(G),Ys)
=> hAPP_list_ty_nat(size_size_list_ty,Xs) = hAPP_list_char_nat(size_size_list_char,Ys) ) ).
fof(fact_217_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1487035934ion_ty(map_ty_option_ty(F_1),Xs) = hAPP_l1716957862ion_ty(map_Pr1783250717ion_ty(G),Ys)
=> hAPP_list_ty_nat(size_size_list_ty,Xs) = hAPP_l540212137ty_nat(size_s1444510216har_ty,Ys) ) ).
fof(fact_218_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1487035934ion_ty(map_ty_option_ty(F_1),Xs) = hAPP_l827505693ion_ty(map_Pr1247945830ion_ty(G),Ys)
=> hAPP_list_ty_nat(size_size_list_ty,Xs) = hAPP_l1280603808al_nat(size_s760178257ar_val,Ys) ) ).
fof(fact_219_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1487035934ion_ty(map_ty_option_ty(F_1),Xs) = hAPP_l305548949ion_ty(map_op1363057580ion_ty(G),Ys)
=> hAPP_list_ty_nat(size_size_list_ty,Xs) = hAPP_l289305880ty_nat(size_s1050794909ion_ty,Ys) ) ).
fof(fact_220_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l732421366t_char(map_va1934808527t_char(F_1),Xs) = hAPP_l1683732356t_char(map_Pr1211171455t_char(G),Ys)
=> hAPP_list_val_nat(size_size_list_val,Xs) = hAPP_l1766199206al_nat(size_s470606735on_val,Ys) ) ).
fof(fact_221_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l732421366t_char(map_va1934808527t_char(F_1),Xs) = hAPP_l2043127767t_char(map_Pr161410094t_char(G),Ys)
=> hAPP_list_val_nat(size_size_list_val,Xs) = hAPP_l1746926841al_nat(size_s60479160on_val,Ys) ) ).
fof(fact_222_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l732421366t_char(map_va1934808527t_char(F_1),Xs) = hAPP_l925187813t_char(map_ch278031520t_char(G),Ys)
=> hAPP_list_val_nat(size_size_list_val,Xs) = hAPP_list_char_nat(size_size_list_char,Ys) ) ).
fof(fact_223_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l732421366t_char(map_va1934808527t_char(F_1),Xs) = hAPP_l2038191751t_char(map_Pr863062654t_char(G),Ys)
=> hAPP_list_val_nat(size_size_list_val,Xs) = hAPP_l540212137ty_nat(size_s1444510216har_ty,Ys) ) ).
fof(fact_224_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l732421366t_char(map_va1934808527t_char(F_1),Xs) = hAPP_l347191422t_char(map_Pr187266887t_char(G),Ys)
=> hAPP_list_val_nat(size_size_list_val,Xs) = hAPP_l1280603808al_nat(size_s760178257ar_val,Ys) ) ).
fof(fact_225_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l732421366t_char(map_va1934808527t_char(F_1),Xs) = hAPP_l330149622t_char(map_op1779340173t_char(G),Ys)
=> hAPP_list_val_nat(size_size_list_val,Xs) = hAPP_l289305880ty_nat(size_s1050794909ion_ty,Ys) ) ).
fof(fact_226_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1892737211st_val(map_list_char_val(F_1),Xs) = hAPP_l228474410st_val(map_option_val_val(G),Ys)
=> hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_l870066319al_nat(size_s1595297126on_val,Ys) ) ).
fof(fact_227_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1892737211st_val(map_list_char_val(F_1),Xs) = hAPP_l1342091219st_val(map_Pr1583805314al_val(G),Ys)
=> hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_l1766199206al_nat(size_s470606735on_val,Ys) ) ).
fof(fact_228_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1892737211st_val(map_list_char_val(F_1),Xs) = hAPP_l1023956544st_val(map_Pr1730568083al_val(G),Ys)
=> hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_l1746926841al_nat(size_s60479160on_val,Ys) ) ).
fof(fact_229_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1892737211st_val(map_list_char_val(F_1),Xs) = hAPP_l473790130st_val(map_char_val(G),Ys)
=> hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_list_char_nat(size_size_list_char,Ys) ) ).
fof(fact_230_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1892737211st_val(map_list_char_val(F_1),Xs) = hAPP_l1473803152st_val(map_Pr961574211ty_val(G),Ys)
=> hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_l540212137ty_nat(size_s1444510216har_ty,Ys) ) ).
fof(fact_231_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1892737211st_val(map_list_char_val(F_1),Xs) = hAPP_l1523427673st_val(map_Pr1022222522al_val(G),Ys)
=> hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_l1280603808al_nat(size_s760178257ar_val,Ys) ) ).
fof(fact_232_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1892737211st_val(map_list_char_val(F_1),Xs) = hAPP_l336371937st_val(map_option_ty_val(G),Ys)
=> hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_l289305880ty_nat(size_s1050794909ion_ty,Ys) ) ).
fof(fact_233_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l608137480ar_val(map_Pr1153581243ar_val(F_1),Xs) = hAPP_l102711883ar_val(map_Pr1591425018ar_val(G),Ys)
=> hAPP_l540212137ty_nat(size_s1444510216har_ty,Xs) = hAPP_l1766199206al_nat(size_s470606735on_val,Ys) ) ).
fof(fact_234_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l608137480ar_val(map_Pr1153581243ar_val(F_1),Xs) = hAPP_l2147361720ar_val(map_Pr618945291ar_val(G),Ys)
=> hAPP_l540212137ty_nat(size_s1444510216har_ty,Xs) = hAPP_l1746926841al_nat(size_s60479160on_val,Ys) ) ).
fof(fact_235_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l608137480ar_val(map_Pr1153581243ar_val(F_1),Xs) = hAPP_l606396970ar_val(map_ch1589830937ar_val(G),Ys)
=> hAPP_l540212137ty_nat(size_s1444510216har_ty,Xs) = hAPP_list_char_nat(size_size_list_char,Ys) ) ).
fof(fact_236_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l608137480ar_val(map_Pr1153581243ar_val(F_1),Xs) = hAPP_l1462265297ar_val(map_Pr879013170ar_val(G),Ys)
=> hAPP_l540212137ty_nat(size_s1444510216har_ty,Xs) = hAPP_l1280603808al_nat(size_s760178257ar_val,Ys) ) ).
fof(fact_237_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l608137480ar_val(map_Pr1153581243ar_val(F_1),Xs) = hAPP_l278271321ar_val(map_op1852210284ar_val(G),Ys)
=> hAPP_l540212137ty_nat(size_s1444510216har_ty,Xs) = hAPP_l289305880ty_nat(size_s1050794909ion_ty,Ys) ) ).
fof(fact_238_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l601126435ion_ty(map_Pr1420995486ion_ty(F_1),Xs) = hAPP_l2006940821ion_ty(map_val_option_ty(G),Ys)
=> hAPP_l1766199206al_nat(size_s470606735on_val,Xs) = hAPP_list_val_nat(size_size_list_val,Ys) ) ).
fof(fact_239_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1328999414ion_ty(map_Pr590903501ion_ty(F_1),Xs) = hAPP_l2006940821ion_ty(map_val_option_ty(G),Ys)
=> hAPP_l1746926841al_nat(size_s60479160on_val,Xs) = hAPP_list_val_nat(size_size_list_val,Ys) ) ).
fof(fact_240_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l863887876ion_ty(map_char_option_ty(F_1),Xs) = hAPP_l2006940821ion_ty(map_val_option_ty(G),Ys)
=> hAPP_list_char_nat(size_size_list_char,Xs) = hAPP_list_val_nat(size_size_list_val,Ys) ) ).
fof(fact_241_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1716957862ion_ty(map_Pr1783250717ion_ty(F_1),Xs) = hAPP_l2006940821ion_ty(map_val_option_ty(G),Ys)
=> hAPP_l540212137ty_nat(size_s1444510216har_ty,Xs) = hAPP_list_val_nat(size_size_list_val,Ys) ) ).
fof(fact_242_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l827505693ion_ty(map_Pr1247945830ion_ty(F_1),Xs) = hAPP_l2006940821ion_ty(map_val_option_ty(G),Ys)
=> hAPP_l1280603808al_nat(size_s760178257ar_val,Xs) = hAPP_list_val_nat(size_size_list_val,Ys) ) ).
fof(fact_243_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l305548949ion_ty(map_op1363057580ion_ty(F_1),Xs) = hAPP_l2006940821ion_ty(map_val_option_ty(G),Ys)
=> hAPP_l289305880ty_nat(size_s1050794909ion_ty,Xs) = hAPP_list_val_nat(size_size_list_val,Ys) ) ).
fof(fact_244_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l601126435ion_ty(map_Pr1420995486ion_ty(F_1),Xs) = hAPP_l1487035934ion_ty(map_ty_option_ty(G),Ys)
=> hAPP_l1766199206al_nat(size_s470606735on_val,Xs) = hAPP_list_ty_nat(size_size_list_ty,Ys) ) ).
fof(fact_245_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1328999414ion_ty(map_Pr590903501ion_ty(F_1),Xs) = hAPP_l1487035934ion_ty(map_ty_option_ty(G),Ys)
=> hAPP_l1746926841al_nat(size_s60479160on_val,Xs) = hAPP_list_ty_nat(size_size_list_ty,Ys) ) ).
fof(fact_246_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l863887876ion_ty(map_char_option_ty(F_1),Xs) = hAPP_l1487035934ion_ty(map_ty_option_ty(G),Ys)
=> hAPP_list_char_nat(size_size_list_char,Xs) = hAPP_list_ty_nat(size_size_list_ty,Ys) ) ).
fof(fact_247_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1716957862ion_ty(map_Pr1783250717ion_ty(F_1),Xs) = hAPP_l1487035934ion_ty(map_ty_option_ty(G),Ys)
=> hAPP_l540212137ty_nat(size_s1444510216har_ty,Xs) = hAPP_list_ty_nat(size_size_list_ty,Ys) ) ).
fof(fact_248_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l827505693ion_ty(map_Pr1247945830ion_ty(F_1),Xs) = hAPP_l1487035934ion_ty(map_ty_option_ty(G),Ys)
=> hAPP_l1280603808al_nat(size_s760178257ar_val,Xs) = hAPP_list_ty_nat(size_size_list_ty,Ys) ) ).
fof(fact_249_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l305548949ion_ty(map_op1363057580ion_ty(F_1),Xs) = hAPP_l1487035934ion_ty(map_ty_option_ty(G),Ys)
=> hAPP_l289305880ty_nat(size_s1050794909ion_ty,Xs) = hAPP_list_ty_nat(size_size_list_ty,Ys) ) ).
fof(fact_250_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1683732356t_char(map_Pr1211171455t_char(F_1),Xs) = hAPP_l732421366t_char(map_va1934808527t_char(G),Ys)
=> hAPP_l1766199206al_nat(size_s470606735on_val,Xs) = hAPP_list_val_nat(size_size_list_val,Ys) ) ).
fof(fact_251_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l2043127767t_char(map_Pr161410094t_char(F_1),Xs) = hAPP_l732421366t_char(map_va1934808527t_char(G),Ys)
=> hAPP_l1746926841al_nat(size_s60479160on_val,Xs) = hAPP_list_val_nat(size_size_list_val,Ys) ) ).
fof(fact_252_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l925187813t_char(map_ch278031520t_char(F_1),Xs) = hAPP_l732421366t_char(map_va1934808527t_char(G),Ys)
=> hAPP_list_char_nat(size_size_list_char,Xs) = hAPP_list_val_nat(size_size_list_val,Ys) ) ).
fof(fact_253_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l2038191751t_char(map_Pr863062654t_char(F_1),Xs) = hAPP_l732421366t_char(map_va1934808527t_char(G),Ys)
=> hAPP_l540212137ty_nat(size_s1444510216har_ty,Xs) = hAPP_list_val_nat(size_size_list_val,Ys) ) ).
fof(fact_254_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l347191422t_char(map_Pr187266887t_char(F_1),Xs) = hAPP_l732421366t_char(map_va1934808527t_char(G),Ys)
=> hAPP_l1280603808al_nat(size_s760178257ar_val,Xs) = hAPP_list_val_nat(size_size_list_val,Ys) ) ).
fof(fact_255_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l330149622t_char(map_op1779340173t_char(F_1),Xs) = hAPP_l732421366t_char(map_va1934808527t_char(G),Ys)
=> hAPP_l289305880ty_nat(size_s1050794909ion_ty,Xs) = hAPP_list_val_nat(size_size_list_val,Ys) ) ).
fof(fact_256_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l228474410st_val(map_option_val_val(F_1),Xs) = hAPP_l1892737211st_val(map_list_char_val(G),Ys)
=> hAPP_l870066319al_nat(size_s1595297126on_val,Xs) = hAPP_l66428094ar_nat(size_s2113983095t_char,Ys) ) ).
fof(fact_257_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1342091219st_val(map_Pr1583805314al_val(F_1),Xs) = hAPP_l1892737211st_val(map_list_char_val(G),Ys)
=> hAPP_l1766199206al_nat(size_s470606735on_val,Xs) = hAPP_l66428094ar_nat(size_s2113983095t_char,Ys) ) ).
fof(fact_258_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1023956544st_val(map_Pr1730568083al_val(F_1),Xs) = hAPP_l1892737211st_val(map_list_char_val(G),Ys)
=> hAPP_l1746926841al_nat(size_s60479160on_val,Xs) = hAPP_l66428094ar_nat(size_s2113983095t_char,Ys) ) ).
fof(fact_259_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l473790130st_val(map_char_val(F_1),Xs) = hAPP_l1892737211st_val(map_list_char_val(G),Ys)
=> hAPP_list_char_nat(size_size_list_char,Xs) = hAPP_l66428094ar_nat(size_s2113983095t_char,Ys) ) ).
fof(fact_260_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1473803152st_val(map_Pr961574211ty_val(F_1),Xs) = hAPP_l1892737211st_val(map_list_char_val(G),Ys)
=> hAPP_l540212137ty_nat(size_s1444510216har_ty,Xs) = hAPP_l66428094ar_nat(size_s2113983095t_char,Ys) ) ).
fof(fact_261_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1523427673st_val(map_Pr1022222522al_val(F_1),Xs) = hAPP_l1892737211st_val(map_list_char_val(G),Ys)
=> hAPP_l1280603808al_nat(size_s760178257ar_val,Xs) = hAPP_l66428094ar_nat(size_s2113983095t_char,Ys) ) ).
fof(fact_262_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l336371937st_val(map_option_ty_val(F_1),Xs) = hAPP_l1892737211st_val(map_list_char_val(G),Ys)
=> hAPP_l289305880ty_nat(size_s1050794909ion_ty,Xs) = hAPP_l66428094ar_nat(size_s2113983095t_char,Ys) ) ).
fof(fact_263_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l102711883ar_val(map_Pr1591425018ar_val(F_1),Xs) = hAPP_l608137480ar_val(map_Pr1153581243ar_val(G),Ys)
=> hAPP_l1766199206al_nat(size_s470606735on_val,Xs) = hAPP_l540212137ty_nat(size_s1444510216har_ty,Ys) ) ).
fof(fact_264_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l2147361720ar_val(map_Pr618945291ar_val(F_1),Xs) = hAPP_l608137480ar_val(map_Pr1153581243ar_val(G),Ys)
=> hAPP_l1746926841al_nat(size_s60479160on_val,Xs) = hAPP_l540212137ty_nat(size_s1444510216har_ty,Ys) ) ).
fof(fact_265_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l606396970ar_val(map_ch1589830937ar_val(F_1),Xs) = hAPP_l608137480ar_val(map_Pr1153581243ar_val(G),Ys)
=> hAPP_list_char_nat(size_size_list_char,Xs) = hAPP_l540212137ty_nat(size_s1444510216har_ty,Ys) ) ).
fof(fact_266_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l608137480ar_val(map_Pr1153581243ar_val(F_1),Xs) = hAPP_l608137480ar_val(map_Pr1153581243ar_val(G),Ys)
=> hAPP_l540212137ty_nat(size_s1444510216har_ty,Xs) = hAPP_l540212137ty_nat(size_s1444510216har_ty,Ys) ) ).
fof(fact_267_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1462265297ar_val(map_Pr879013170ar_val(F_1),Xs) = hAPP_l608137480ar_val(map_Pr1153581243ar_val(G),Ys)
=> hAPP_l1280603808al_nat(size_s760178257ar_val,Xs) = hAPP_l540212137ty_nat(size_s1444510216har_ty,Ys) ) ).
fof(fact_268_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l278271321ar_val(map_op1852210284ar_val(F_1),Xs) = hAPP_l608137480ar_val(map_Pr1153581243ar_val(G),Ys)
=> hAPP_l289305880ty_nat(size_s1050794909ion_ty,Xs) = hAPP_l540212137ty_nat(size_s1444510216har_ty,Ys) ) ).
fof(fact_269_prod__induct5,axiom,
! [X_2,Pa] :
( ! [A_2,B_1,C_4,D_2,E_7] : hBOOL(hAPP_P824029447r_bool(Pa,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_2),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,B_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,C_4),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,D_2),E_7))))))
=> hBOOL(hAPP_P824029447r_bool(Pa,X_2)) ) ).
fof(fact_270_prod__induct5,axiom,
! [X_2,Pa] :
( ! [A_2,B_1,C_4,D_2,E_7] : hBOOL(hAPP_P2028072621l_bool(Pa,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_2),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B_1),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,C_4),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,D_2),E_7))))))
=> hBOOL(hAPP_P2028072621l_bool(Pa,X_2)) ) ).
fof(fact_271_prod__induct5,axiom,
! [X_2,Pa] :
( ! [A_2,B_1,C_4,D_2,E_7] : hBOOL(hAPP_P378063101l_bool(Pa,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_2),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B_1),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,C_4),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,D_2),E_7))))))
=> hBOOL(hAPP_P378063101l_bool(Pa,X_2)) ) ).
fof(fact_272_prod__cases5,axiom,
! [Y_6] :
~ ! [A_2,B_1,C_4,D_2,E_7] : Y_6 != hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_2),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,B_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,C_4),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,D_2),E_7)))) ).
fof(fact_273_prod__cases5,axiom,
! [Y_1] :
~ ! [A_2,B_1,C_4,D_2,E_7] : Y_1 != hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_2),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B_1),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,C_4),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,D_2),E_7)))) ).
fof(fact_274_prod__cases5,axiom,
! [Y_1] :
~ ! [A_2,B_1,C_4,D_2,E_7] : Y_1 != hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_2),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B_1),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,C_4),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,D_2),E_7)))) ).
fof(fact_275_prod__induct4,axiom,
! [X_2,Pa] :
( ! [A_2,B_1,C_4,D_2] : hBOOL(hAPP_P92196306r_bool(Pa,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_2),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,B_1),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,C_4),D_2)))))
=> hBOOL(hAPP_P92196306r_bool(Pa,X_2)) ) ).
fof(fact_276_prod__induct4,axiom,
! [X_2,Pa] :
( ! [A_2,B_1,C_4,D_2] : hBOOL(hAPP_P282169671l_bool(Pa,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_2),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,C_4),D_2)))))
=> hBOOL(hAPP_P282169671l_bool(Pa,X_2)) ) ).
fof(fact_277_prod__induct4,axiom,
! [X_2,Pa] :
( ! [A_2,B_1,C_4,D_2] : hBOOL(hAPP_P1333315679l_bool(Pa,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_2),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,B_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,C_4),D_2)))))
=> hBOOL(hAPP_P1333315679l_bool(Pa,X_2)) ) ).
fof(fact_278_prod__induct4,axiom,
! [X_2,Pa] :
( ! [A_2,B_1,C_4,D_2] : hBOOL(hAPP_P824029447r_bool(Pa,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_2),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,B_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,C_4),D_2)))))
=> hBOOL(hAPP_P824029447r_bool(Pa,X_2)) ) ).
fof(fact_279_prod__induct4,axiom,
! [X_2,Pa] :
( ! [A_2,B_1,C_4,D_2] : hBOOL(hAPP_P1240100515r_bool(Pa,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_2),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,B_1),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,C_4),D_2)))))
=> hBOOL(hAPP_P1240100515r_bool(Pa,X_2)) ) ).
fof(fact_280_prod__induct4,axiom,
! [X_2,Pa] :
( ! [A_2,B_1,C_4,D_2] : hBOOL(hAPP_P378063101l_bool(Pa,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_2),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B_1),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,C_4),D_2)))))
=> hBOOL(hAPP_P378063101l_bool(Pa,X_2)) ) ).
fof(fact_281_prod__induct4,axiom,
! [X_2,Pa] :
( ! [A_2,B_1,C_4,D_2] : hBOOL(hAPP_P2028072621l_bool(Pa,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_2),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B_1),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,C_4),D_2)))))
=> hBOOL(hAPP_P2028072621l_bool(Pa,X_2)) ) ).
fof(fact_282_prod__induct4,axiom,
! [X_2,Pa] :
( ! [A_2,B_1,C_4,D_2] :
( is_bop(B_1)
=> hBOOL(hAPP_P738987199l_bool(Pa,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A_2),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,B_1),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,C_4),D_2))))) )
=> hBOOL(hAPP_P738987199l_bool(Pa,X_2)) ) ).
fof(fact_283_prod__cases4,axiom,
! [Y_5] :
~ ! [A_2,B_1,C_4,D_2] : Y_5 != hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_2),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,B_1),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,C_4),D_2))) ).
fof(fact_284_prod__cases4,axiom,
! [Y_1] :
~ ! [A_2,B_1,C_4,D_2] : Y_1 != hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_2),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,C_4),D_2))) ).
fof(fact_285_prod__cases4,axiom,
! [Y_1] :
~ ! [A_2,B_1,C_4,D_2] : Y_1 != hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_2),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,B_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,C_4),D_2))) ).
fof(fact_286_prod__cases4,axiom,
! [Y_5] :
~ ! [A_2,B_1,C_4,D_2] : Y_5 != hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_2),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,B_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,C_4),D_2))) ).
fof(fact_287_prod__cases4,axiom,
! [Y_5] :
~ ! [A_2,B_1,C_4,D_2] : Y_5 != hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_2),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,B_1),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,C_4),D_2))) ).
fof(fact_288_prod__cases4,axiom,
! [Y_1] :
~ ! [A_2,B_1,C_4,D_2] : Y_1 != hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_2),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B_1),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,C_4),D_2))) ).
fof(fact_289_prod__cases4,axiom,
! [Y_1] :
~ ! [A_2,B_1,C_4,D_2] : Y_1 != hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_2),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B_1),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,C_4),D_2))) ).
fof(fact_290_prod__cases4,axiom,
! [Y_5] :
~ ! [A_2,B_1,C_4,D_2] :
( is_bop(B_1)
=> Y_5 != hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A_2),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,B_1),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,C_4),D_2))) ) ).
fof(fact_291_Pair__inject,axiom,
! [A_18,B_4,A_17,B_3] :
( hAPP_P295788316har_ty(hAPP_l848957697har_ty(produc1002914035har_ty,A_18),B_4) = hAPP_P295788316har_ty(hAPP_l848957697har_ty(produc1002914035har_ty,A_17),B_3)
=> ~ ( A_18 = A_17
=> B_4 != B_3 ) ) ).
fof(fact_292_Pair__inject,axiom,
! [A_18,B_4,A_17,B_3] :
( hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,A_18),B_4) = hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,A_17),B_3)
=> ~ ( A_18 = A_17
=> B_4 != B_3 ) ) ).
fof(fact_293_Pair__inject,axiom,
! [A_18,B_4,A_17,B_3] :
( hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,A_18),B_4) = hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,A_17),B_3)
=> ~ ( A_18 = A_17
=> B_4 != B_3 ) ) ).
fof(fact_294_Pair__inject,axiom,
! [A_18,B_4,A_17,B_3] :
( hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,A_18),B_4) = hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,A_17),B_3)
=> ~ ( A_18 = A_17
=> B_4 != B_3 ) ) ).
fof(fact_295_Pair__inject,axiom,
! [A_1,B,A_8,B_2] :
( hAPP_l1701465547on_val(hAPP_l1588290397on_val(produc493060183on_val,A_1),B) = hAPP_l1701465547on_val(hAPP_l1588290397on_val(produc493060183on_val,A_8),B_2)
=> ~ ( A_1 = A_8
=> B != B_2 ) ) ).
fof(fact_296_Pair__inject,axiom,
! [A_1,B,A_8,B_2] :
( hAPP_l1485560508on_val(hAPP_l1324137613on_val(produc584381409on_val,A_1),B) = hAPP_l1485560508on_val(hAPP_l1324137613on_val(produc584381409on_val,A_8),B_2)
=> ~ ( A_1 = A_8
=> B != B_2 ) ) ).
fof(fact_297_Pair__inject,axiom,
! [A_18,B_4,A_17,B_3] :
( ( is_char(A_18)
& is_char(B_4)
& is_char(A_17)
& is_char(B_3) )
=> ( hAPP_c802977373r_char(hAPP_c1242523777r_char(produc601902295r_char,A_18),B_4) = hAPP_c802977373r_char(hAPP_c1242523777r_char(produc601902295r_char,A_17),B_3)
=> ~ ( A_18 = A_17
=> B_4 != B_3 ) ) ) ).
fof(fact_298_Pair__inject,axiom,
! [A_18,B_4,A_17,B_3] :
( hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,A_18),B_4) = hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,A_17),B_3)
=> ~ ( A_18 = A_17
=> B_4 != B_3 ) ) ).
fof(fact_299_Pair__inject,axiom,
! [A_18,B_4,A_17,B_3] :
( hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,A_18),B_4) = hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,A_17),B_3)
=> ~ ( A_18 = A_17
=> B_4 != B_3 ) ) ).
fof(fact_300_Pair__inject,axiom,
! [A_18,B_4,A_17,B_3] :
( hAPP_t65172803_ty_ty(hAPP_t1494094285_ty_ty(product_Pair_ty_ty,A_18),B_4) = hAPP_t65172803_ty_ty(hAPP_t1494094285_ty_ty(product_Pair_ty_ty,A_17),B_3)
=> ~ ( A_18 = A_17
=> B_4 != B_3 ) ) ).
fof(fact_301_Pair__inject,axiom,
! [A_18,B_4,A_17,B_3] :
( hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,A_18),B_4) = hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,A_17),B_3)
=> ~ ( A_18 = A_17
=> B_4 != B_3 ) ) ).
fof(fact_302_Pair__inject,axiom,
! [A_18,B_4,A_17,B_3] :
( hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,A_18),B_4) = hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,A_17),B_3)
=> ~ ( A_18 = A_17
=> B_4 != B_3 ) ) ).
fof(fact_303_Pair__inject,axiom,
! [A_18,B_4,A_17,B_3] :
( hAPP_P976385092ar_val(hAPP_P800634639ar_val(produc1317546007ar_val,A_18),B_4) = hAPP_P976385092ar_val(hAPP_P800634639ar_val(produc1317546007ar_val,A_17),B_3)
=> ~ ( A_18 = A_17
=> B_4 != B_3 ) ) ).
fof(fact_304_Pair__inject,axiom,
! [A_18,B_4,A_17,B_3] :
( hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,A_18),B_4) = hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,A_17),B_3)
=> ~ ( A_18 = A_17
=> B_4 != B_3 ) ) ).
fof(fact_305_Pair__inject,axiom,
! [A_18,B_4,A_17,B_3] :
( hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A_18),B_4) = hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A_17),B_3)
=> ~ ( A_18 = A_17
=> B_4 != B_3 ) ) ).
fof(fact_306_Pair__inject,axiom,
! [A_18,B_4,A_17,B_3] :
( hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,A_18),B_4) = hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,A_17),B_3)
=> ~ ( A_18 = A_17
=> B_4 != B_3 ) ) ).
fof(fact_307_Pair__inject,axiom,
! [A_18,B_4,A_17,B_3] :
( hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A_18),B_4) = hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A_17),B_3)
=> ~ ( A_18 = A_17
=> B_4 != B_3 ) ) ).
fof(fact_308_Pair__inject,axiom,
! [A_1,B,A_8,B_2] :
( hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_1),B) = hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_8),B_2)
=> ~ ( A_1 = A_8
=> B != B_2 ) ) ).
fof(fact_309_Pair__inject,axiom,
! [A_1,B,A_8,B_2] :
( hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A_1),B) = hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A_8),B_2)
=> ~ ( A_1 = A_8
=> B != B_2 ) ) ).
fof(fact_310_Pair__inject,axiom,
! [A_1,B,A_8,B_2] :
( hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_1),B) = hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_8),B_2)
=> ~ ( A_1 = A_8
=> B != B_2 ) ) ).
fof(fact_311_Pair__inject,axiom,
! [A_1,B,A_8,B_2] :
( hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A_1),B) = hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A_8),B_2)
=> ~ ( A_1 = A_8
=> B != B_2 ) ) ).
fof(fact_312_Pair__inject,axiom,
! [A_18,B_4,A_17,B_3] :
( hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A_18),B_4) = hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A_17),B_3)
=> ~ ( A_18 = A_17
=> B_4 != B_3 ) ) ).
fof(fact_313_Pair__inject,axiom,
! [A_18,B_4,A_17,B_3] :
( hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_18),B_4) = hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_17),B_3)
=> ~ ( A_18 = A_17
=> B_4 != B_3 ) ) ).
fof(fact_314_Pair__inject,axiom,
! [A_18,B_4,A_17,B_3] :
( hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_18),B_4) = hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_17),B_3)
=> ~ ( A_18 = A_17
=> B_4 != B_3 ) ) ).
fof(fact_315_Pair__inject,axiom,
! [A_18,B_4,A_17,B_3] :
( hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_18),B_4) = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_17),B_3)
=> ~ ( A_18 = A_17
=> B_4 != B_3 ) ) ).
fof(fact_316_Pair__inject,axiom,
! [A_18,B_4,A_17,B_3] :
( hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_18),B_4) = hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_17),B_3)
=> ~ ( A_18 = A_17
=> B_4 != B_3 ) ) ).
fof(fact_317_Pair__inject,axiom,
! [A_18,B_4,A_17,B_3] :
( hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_18),B_4) = hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_17),B_3)
=> ~ ( A_18 = A_17
=> B_4 != B_3 ) ) ).
fof(fact_318_Pair__inject,axiom,
! [A_1,B,A_8,B_2] :
( hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_1),B) = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_8),B_2)
=> ~ ( A_1 = A_8
=> B != B_2 ) ) ).
fof(fact_319_Pair__inject,axiom,
! [A_1,B,A_8,B_2] :
( hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),B) = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_8),B_2)
=> ~ ( A_1 = A_8
=> B != B_2 ) ) ).
fof(fact_320_Pair__inject,axiom,
! [A_1,B,A_8,B_2] :
( hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_1),B) = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_8),B_2)
=> ~ ( A_1 = A_8
=> B != B_2 ) ) ).
fof(fact_321_Pair__inject,axiom,
! [A_1,B,A_8,B_2] :
( hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_1),B) = hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_8),B_2)
=> ~ ( A_1 = A_8
=> B != B_2 ) ) ).
fof(fact_322_Pair__inject,axiom,
! [A_1,B,A_8,B_2] :
( hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),B) = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_8),B_2)
=> ~ ( A_1 = A_8
=> B != B_2 ) ) ).
fof(fact_323_Pair__inject,axiom,
! [A_1,B,A_8,B_2] :
( hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_1),B) = hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_8),B_2)
=> ~ ( A_1 = A_8
=> B != B_2 ) ) ).
fof(fact_324_Pair__inject,axiom,
! [A_18,B_4,A_17,B_3] :
( ( is_bop(A_18)
& is_bop(A_17) )
=> ( hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_18),B_4) = hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_17),B_3)
=> ~ ( A_18 = A_17
=> B_4 != B_3 ) ) ) ).
fof(fact_325_Pair__inject,axiom,
! [A_18,B_4,A_17,B_3] :
( hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_18),B_4) = hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_17),B_3)
=> ~ ( A_18 = A_17
=> B_4 != B_3 ) ) ).
fof(fact_326_Pair__inject,axiom,
! [A_18,B_4,A_17,B_3] :
( hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_18),B_4) = hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_17),B_3)
=> ~ ( A_18 = A_17
=> B_4 != B_3 ) ) ).
fof(fact_327_Pair__inject,axiom,
! [A_18,B_4,A_17,B_3] :
( hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_18),B_4) = hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_17),B_3)
=> ~ ( A_18 = A_17
=> B_4 != B_3 ) ) ).
fof(fact_328_Pair__inject,axiom,
! [A_18,B_4,A_17,B_3] :
( hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,A_18),B_4) = hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,A_17),B_3)
=> ~ ( A_18 = A_17
=> B_4 != B_3 ) ) ).
fof(fact_329_Pair__eq,axiom,
! [A_1,B,A_8,B_2] :
( hAPP_P295788316har_ty(hAPP_l848957697har_ty(produc1002914035har_ty,A_1),B) = hAPP_P295788316har_ty(hAPP_l848957697har_ty(produc1002914035har_ty,A_8),B_2)
<=> ( A_1 = A_8
& B = B_2 ) ) ).
fof(fact_330_Pair__eq,axiom,
! [A_1,B,A_8,B_2] :
( hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,A_1),B) = hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,A_8),B_2)
<=> ( A_1 = A_8
& B = B_2 ) ) ).
fof(fact_331_Pair__eq,axiom,
! [A_1,B,A_8,B_2] :
( hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,A_1),B) = hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,A_8),B_2)
<=> ( A_1 = A_8
& B = B_2 ) ) ).
fof(fact_332_Pair__eq,axiom,
! [A_1,B,A_8,B_2] :
( hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,A_1),B) = hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,A_8),B_2)
<=> ( A_1 = A_8
& B = B_2 ) ) ).
fof(fact_333_Pair__eq,axiom,
! [A_1,B,A_8,B_2] :
( hAPP_l1701465547on_val(hAPP_l1588290397on_val(produc493060183on_val,A_1),B) = hAPP_l1701465547on_val(hAPP_l1588290397on_val(produc493060183on_val,A_8),B_2)
<=> ( A_1 = A_8
& B = B_2 ) ) ).
fof(fact_334_Pair__eq,axiom,
! [A_1,B,A_8,B_2] :
( hAPP_l1485560508on_val(hAPP_l1324137613on_val(produc584381409on_val,A_1),B) = hAPP_l1485560508on_val(hAPP_l1324137613on_val(produc584381409on_val,A_8),B_2)
<=> ( A_1 = A_8
& B = B_2 ) ) ).
fof(fact_335_Pair__eq,axiom,
! [A_1,B,A_8,B_2] :
( ( is_char(A_1)
& is_char(B)
& is_char(A_8)
& is_char(B_2) )
=> ( hAPP_c802977373r_char(hAPP_c1242523777r_char(produc601902295r_char,A_1),B) = hAPP_c802977373r_char(hAPP_c1242523777r_char(produc601902295r_char,A_8),B_2)
<=> ( A_1 = A_8
& B = B_2 ) ) ) ).
fof(fact_336_Pair__eq,axiom,
! [A_1,B,A_8,B_2] :
( hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,A_1),B) = hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,A_8),B_2)
<=> ( A_1 = A_8
& B = B_2 ) ) ).
fof(fact_337_Pair__eq,axiom,
! [A_1,B,A_8,B_2] :
( hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,A_1),B) = hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,A_8),B_2)
<=> ( A_1 = A_8
& B = B_2 ) ) ).
fof(fact_338_Pair__eq,axiom,
! [A_1,B,A_8,B_2] :
( hAPP_t65172803_ty_ty(hAPP_t1494094285_ty_ty(product_Pair_ty_ty,A_1),B) = hAPP_t65172803_ty_ty(hAPP_t1494094285_ty_ty(product_Pair_ty_ty,A_8),B_2)
<=> ( A_1 = A_8
& B = B_2 ) ) ).
fof(fact_339_Pair__eq,axiom,
! [A_1,B,A_8,B_2] :
( hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,A_1),B) = hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,A_8),B_2)
<=> ( A_1 = A_8
& B = B_2 ) ) ).
fof(fact_340_Pair__eq,axiom,
! [A_1,B,A_8,B_2] :
( hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,A_1),B) = hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,A_8),B_2)
<=> ( A_1 = A_8
& B = B_2 ) ) ).
fof(fact_341_Pair__eq,axiom,
! [A_1,B,A_8,B_2] :
( hAPP_P976385092ar_val(hAPP_P800634639ar_val(produc1317546007ar_val,A_1),B) = hAPP_P976385092ar_val(hAPP_P800634639ar_val(produc1317546007ar_val,A_8),B_2)
<=> ( A_1 = A_8
& B = B_2 ) ) ).
fof(fact_342_Pair__eq,axiom,
! [A_1,B,A_8,B_2] :
( hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,A_1),B) = hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,A_8),B_2)
<=> ( A_1 = A_8
& B = B_2 ) ) ).
fof(fact_343_Pair__eq,axiom,
! [A_1,B,A_8,B_2] :
( hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A_1),B) = hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A_8),B_2)
<=> ( A_1 = A_8
& B = B_2 ) ) ).
fof(fact_344_Pair__eq,axiom,
! [A_1,B,A_8,B_2] :
( hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,A_1),B) = hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,A_8),B_2)
<=> ( A_1 = A_8
& B = B_2 ) ) ).
fof(fact_345_Pair__eq,axiom,
! [A_1,B,A_8,B_2] :
( hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A_1),B) = hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A_8),B_2)
<=> ( A_1 = A_8
& B = B_2 ) ) ).
fof(fact_346_Pair__eq,axiom,
! [A_1,B,A_8,B_2] :
( hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_1),B) = hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_8),B_2)
<=> ( A_1 = A_8
& B = B_2 ) ) ).
fof(fact_347_Pair__eq,axiom,
! [A_1,B,A_8,B_2] :
( hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A_1),B) = hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A_8),B_2)
<=> ( A_1 = A_8
& B = B_2 ) ) ).
fof(fact_348_Pair__eq,axiom,
! [A_1,B,A_8,B_2] :
( hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_1),B) = hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_8),B_2)
<=> ( A_1 = A_8
& B = B_2 ) ) ).
fof(fact_349_Pair__eq,axiom,
! [A_1,B,A_8,B_2] :
( hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A_1),B) = hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A_8),B_2)
<=> ( A_1 = A_8
& B = B_2 ) ) ).
fof(fact_350_Pair__eq,axiom,
! [A_1,B,A_8,B_2] :
( hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A_1),B) = hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A_8),B_2)
<=> ( A_1 = A_8
& B = B_2 ) ) ).
fof(fact_351_Pair__eq,axiom,
! [A_1,B,A_8,B_2] :
( hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_1),B) = hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_8),B_2)
<=> ( A_1 = A_8
& B = B_2 ) ) ).
fof(fact_352_Pair__eq,axiom,
! [A_1,B,A_8,B_2] :
( hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_1),B) = hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_8),B_2)
<=> ( A_1 = A_8
& B = B_2 ) ) ).
fof(fact_353_Pair__eq,axiom,
! [A_1,B,A_8,B_2] :
( hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),B) = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_8),B_2)
<=> ( A_1 = A_8
& B = B_2 ) ) ).
fof(fact_354_Pair__eq,axiom,
! [A_1,B,A_8,B_2] :
( hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_1),B) = hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_8),B_2)
<=> ( A_1 = A_8
& B = B_2 ) ) ).
fof(fact_355_Pair__eq,axiom,
! [A_1,B,A_8,B_2] :
( hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_1),B) = hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_8),B_2)
<=> ( A_1 = A_8
& B = B_2 ) ) ).
fof(fact_356_Pair__eq,axiom,
! [A_1,B,A_8,B_2] :
( hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_1),B) = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_8),B_2)
<=> ( A_1 = A_8
& B = B_2 ) ) ).
fof(fact_357_Pair__eq,axiom,
! [A_1,B,A_8,B_2] :
( hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),B) = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_8),B_2)
<=> ( A_1 = A_8
& B = B_2 ) ) ).
fof(fact_358_Pair__eq,axiom,
! [A_1,B,A_8,B_2] :
( hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_1),B) = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_8),B_2)
<=> ( A_1 = A_8
& B = B_2 ) ) ).
fof(fact_359_Pair__eq,axiom,
! [A_1,B,A_8,B_2] :
( hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_1),B) = hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_8),B_2)
<=> ( A_1 = A_8
& B = B_2 ) ) ).
fof(fact_360_Pair__eq,axiom,
! [A_1,B,A_8,B_2] :
( hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),B) = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_8),B_2)
<=> ( A_1 = A_8
& B = B_2 ) ) ).
fof(fact_361_Pair__eq,axiom,
! [A_1,B,A_8,B_2] :
( hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_1),B) = hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_8),B_2)
<=> ( A_1 = A_8
& B = B_2 ) ) ).
fof(fact_362_Pair__eq,axiom,
! [A_1,B,A_8,B_2] :
( ( is_bop(A_1)
& is_bop(A_8) )
=> ( hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_1),B) = hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_8),B_2)
<=> ( A_1 = A_8
& B = B_2 ) ) ) ).
fof(fact_363_Pair__eq,axiom,
! [A_1,B,A_8,B_2] :
( hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),B) = hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_8),B_2)
<=> ( A_1 = A_8
& B = B_2 ) ) ).
fof(fact_364_Pair__eq,axiom,
! [A_1,B,A_8,B_2] :
( hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),B) = hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_8),B_2)
<=> ( A_1 = A_8
& B = B_2 ) ) ).
fof(fact_365_Pair__eq,axiom,
! [A_1,B,A_8,B_2] :
( hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_1),B) = hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_8),B_2)
<=> ( A_1 = A_8
& B = B_2 ) ) ).
fof(fact_366_Pair__eq,axiom,
! [A_1,B,A_8,B_2] :
( hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,A_1),B) = hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,A_8),B_2)
<=> ( A_1 = A_8
& B = B_2 ) ) ).
fof(fact_367_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P831231943y_bool(Pa,X1))
<=> ! [A_2,B_1] : hBOOL(hAPP_P831231943y_bool(Pa,hAPP_P295788316har_ty(hAPP_l848957697har_ty(produc1002914035har_ty,A_2),B_1))) ) ).
fof(fact_368_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P27757617y_bool(Pa,X1))
<=> ! [A_2,B_1] : hBOOL(hAPP_P27757617y_bool(Pa,hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,A_2),B_1))) ) ).
fof(fact_369_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P748443392y_bool(Pa,X1))
<=> ! [A_2,B_1] : hBOOL(hAPP_P748443392y_bool(Pa,hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,A_2),B_1))) ) ).
fof(fact_370_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P476431815r_bool(Pa,X1))
<=> ! [A_2,B_1] : hBOOL(hAPP_P476431815r_bool(Pa,hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,A_2),B_1))) ) ).
fof(fact_371_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P1821438151l_bool(Pa,X1))
<=> ! [A_2,B_1] : hBOOL(hAPP_P1821438151l_bool(Pa,hAPP_l1701465547on_val(hAPP_l1588290397on_val(produc493060183on_val,A_2),B_1))) ) ).
fof(fact_372_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P1038730315l_bool(Pa,X1))
<=> ! [A_2,B_1] : hBOOL(hAPP_P1038730315l_bool(Pa,hAPP_l1485560508on_val(hAPP_l1324137613on_val(produc584381409on_val,A_2),B_1))) ) ).
fof(fact_373_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P1700239815r_bool(Pa,X1))
<=> ! [A_2,B_1] :
( ( is_char(A_2)
& is_char(B_1) )
=> hBOOL(hAPP_P1700239815r_bool(Pa,hAPP_c802977373r_char(hAPP_c1242523777r_char(produc601902295r_char,A_2),B_1))) ) ) ).
fof(fact_374_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P2115985549l_bool(Pa,X1))
<=> ! [A_2,B_1] : hBOOL(hAPP_P2115985549l_bool(Pa,hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,A_2),B_1))) ) ).
fof(fact_375_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P1574824955y_bool(Pa,X1))
<=> ! [A_2,B_1] : hBOOL(hAPP_P1574824955y_bool(Pa,hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,A_2),B_1))) ) ).
fof(fact_376_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P1716187463y_bool(Pa,X1))
<=> ! [A_2,B_1] : hBOOL(hAPP_P1716187463y_bool(Pa,hAPP_t65172803_ty_ty(hAPP_t1494094285_ty_ty(product_Pair_ty_ty,A_2),B_1))) ) ).
fof(fact_377_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P499022727r_bool(Pa,X1))
<=> ! [A_2,B_1] : hBOOL(hAPP_P499022727r_bool(Pa,hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,A_2),B_1))) ) ).
fof(fact_378_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P1632759357r_bool(Pa,X1))
<=> ! [A_2,B_1] : hBOOL(hAPP_P1632759357r_bool(Pa,hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,A_2),B_1))) ) ).
fof(fact_379_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P439015943l_bool(Pa,X1))
<=> ! [A_2,B_1] : hBOOL(hAPP_P439015943l_bool(Pa,hAPP_P976385092ar_val(hAPP_P800634639ar_val(produc1317546007ar_val,A_2),B_1))) ) ).
fof(fact_380_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P1002912327r_bool(Pa,X1))
<=> ! [A_2,B_1] : hBOOL(hAPP_P1002912327r_bool(Pa,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,A_2),B_1))) ) ).
fof(fact_381_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P2010574925r_bool(Pa,X1))
<=> ! [A_2,B_1] : hBOOL(hAPP_P2010574925r_bool(Pa,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A_2),B_1))) ) ).
fof(fact_382_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P2123002749l_bool(Pa,X1))
<=> ! [A_2,B_1] : hBOOL(hAPP_P2123002749l_bool(Pa,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,A_2),B_1))) ) ).
fof(fact_383_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P738987199l_bool(Pa,X1))
<=> ! [A_2,B_1] : hBOOL(hAPP_P738987199l_bool(Pa,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A_2),B_1))) ) ).
fof(fact_384_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P2028072621l_bool(Pa,X1))
<=> ! [A_2,B_1] : hBOOL(hAPP_P2028072621l_bool(Pa,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_2),B_1))) ) ).
fof(fact_385_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P124632071l_bool(Pa,X1))
<=> ! [A_2,B_1] : hBOOL(hAPP_P124632071l_bool(Pa,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A_2),B_1))) ) ).
fof(fact_386_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P378063101l_bool(Pa,X1))
<=> ! [A_2,B_1] : hBOOL(hAPP_P378063101l_bool(Pa,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_2),B_1))) ) ).
fof(fact_387_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P1221872711l_bool(Pa,X1))
<=> ! [A_2,B_1] : hBOOL(hAPP_P1221872711l_bool(Pa,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A_2),B_1))) ) ).
fof(fact_388_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P1183499705r_bool(Pa,X1))
<=> ! [A_2,B_1] : hBOOL(hAPP_P1183499705r_bool(Pa,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A_2),B_1))) ) ).
fof(fact_389_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P1240100515r_bool(Pa,X1))
<=> ! [A_2,B_1] : hBOOL(hAPP_P1240100515r_bool(Pa,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_2),B_1))) ) ).
fof(fact_390_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P824029447r_bool(Pa,X1))
<=> ! [A_2,B_1] : hBOOL(hAPP_P824029447r_bool(Pa,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_2),B_1))) ) ).
fof(fact_391_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P92196306r_bool(Pa,X1))
<=> ! [A_2,B_1] : hBOOL(hAPP_P92196306r_bool(Pa,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_2),B_1))) ) ).
fof(fact_392_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P1907982426r_bool(Pa,X1))
<=> ! [A_2,B_1] : hBOOL(hAPP_P1907982426r_bool(Pa,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_2),B_1))) ) ).
fof(fact_393_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P2118621157r_bool(Pa,X1))
<=> ! [A_2,B_1] : hBOOL(hAPP_P2118621157r_bool(Pa,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_2),B_1))) ) ).
fof(fact_394_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P159683425l_bool(Pa,X1))
<=> ! [A_2,B_1] : hBOOL(hAPP_P159683425l_bool(Pa,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_2),B_1))) ) ).
fof(fact_395_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P282169671l_bool(Pa,X1))
<=> ! [A_2,B_1] : hBOOL(hAPP_P282169671l_bool(Pa,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_2),B_1))) ) ).
fof(fact_396_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P1708370145l_bool(Pa,X1))
<=> ! [A_2,B_1] : hBOOL(hAPP_P1708370145l_bool(Pa,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_2),B_1))) ) ).
fof(fact_397_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P1235399154l_bool(Pa,X1))
<=> ! [A_2,B_1] : hBOOL(hAPP_P1235399154l_bool(Pa,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_2),B_1))) ) ).
fof(fact_398_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P1333315679l_bool(Pa,X1))
<=> ! [A_2,B_1] : hBOOL(hAPP_P1333315679l_bool(Pa,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_2),B_1))) ) ).
fof(fact_399_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P71593144l_bool(Pa,X1))
<=> ! [A_2,B_1] : hBOOL(hAPP_P71593144l_bool(Pa,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_2),B_1))) ) ).
fof(fact_400_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P943837928l_bool(Pa,X1))
<=> ! [A_2,B_1] :
( is_bop(A_2)
=> hBOOL(hAPP_P943837928l_bool(Pa,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_2),B_1))) ) ) ).
fof(fact_401_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P929938951l_bool(Pa,X1))
<=> ! [A_2,B_1] : hBOOL(hAPP_P929938951l_bool(Pa,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_2),B_1))) ) ).
fof(fact_402_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P449474095r_bool(Pa,X1))
<=> ! [A_2,B_1] : hBOOL(hAPP_P449474095r_bool(Pa,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_2),B_1))) ) ).
fof(fact_403_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P2014166431r_bool(Pa,X1))
<=> ! [A_2,B_1] : hBOOL(hAPP_P2014166431r_bool(Pa,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_2),B_1))) ) ).
fof(fact_404_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P1070896250l_bool(Pa,X1))
<=> ! [A_2,B_1] : hBOOL(hAPP_P1070896250l_bool(Pa,hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,A_2),B_1))) ) ).
fof(fact_405_neq__if__length__neq,axiom,
! [Xs,Ys] :
( hAPP_l1766199206al_nat(size_s470606735on_val,Xs) != hAPP_l1766199206al_nat(size_s470606735on_val,Ys)
=> Xs != Ys ) ).
fof(fact_406_neq__if__length__neq,axiom,
! [Xs,Ys] :
( hAPP_l1746926841al_nat(size_s60479160on_val,Xs) != hAPP_l1746926841al_nat(size_s60479160on_val,Ys)
=> Xs != Ys ) ).
fof(fact_407_neq__if__length__neq,axiom,
! [Xs_8,Ys_6] :
( hAPP_list_char_nat(size_size_list_char,Xs_8) != hAPP_list_char_nat(size_size_list_char,Ys_6)
=> Xs_8 != Ys_6 ) ).
fof(fact_408_neq__if__length__neq,axiom,
! [Xs_8,Ys_6] :
( hAPP_l540212137ty_nat(size_s1444510216har_ty,Xs_8) != hAPP_l540212137ty_nat(size_s1444510216har_ty,Ys_6)
=> Xs_8 != Ys_6 ) ).
fof(fact_409_neq__if__length__neq,axiom,
! [Xs_8,Ys_6] :
( hAPP_l1280603808al_nat(size_s760178257ar_val,Xs_8) != hAPP_l1280603808al_nat(size_s760178257ar_val,Ys_6)
=> Xs_8 != Ys_6 ) ).
fof(fact_410_neq__if__length__neq,axiom,
! [Xs_8,Ys_6] :
( hAPP_l289305880ty_nat(size_s1050794909ion_ty,Xs_8) != hAPP_l289305880ty_nat(size_s1050794909ion_ty,Ys_6)
=> Xs_8 != Ys_6 ) ).
fof(fact_411_neq__if__length__neq,axiom,
! [Xs_8,Ys_6] :
( hAPP_l66428094ar_nat(size_s2113983095t_char,Xs_8) != hAPP_l66428094ar_nat(size_s2113983095t_char,Ys_6)
=> Xs_8 != Ys_6 ) ).
fof(fact_412_neq__if__length__neq,axiom,
! [Xs_8,Ys_6] :
( hAPP_list_ty_nat(size_size_list_ty,Xs_8) != hAPP_list_ty_nat(size_size_list_ty,Ys_6)
=> Xs_8 != Ys_6 ) ).
fof(fact_413_neq__if__length__neq,axiom,
! [Xs_8,Ys_6] :
( hAPP_list_val_nat(size_size_list_val,Xs_8) != hAPP_list_val_nat(size_size_list_val,Ys_6)
=> Xs_8 != Ys_6 ) ).
fof(fact_414_neq__if__length__neq,axiom,
! [Xs_8,Ys_6] :
( hAPP_l452123639ar_nat(size_s1143674878t_char,Xs_8) != hAPP_l452123639ar_nat(size_s1143674878t_char,Ys_6)
=> Xs_8 != Ys_6 ) ).
fof(fact_415_list__all2__eq,axiom,
! [Xs,Ys] :
( Xs = Ys
<=> hBOOL(hAPP_list_ty_bool(list_all2_ty_ty(fequal_ty,Xs),Ys)) ) ).
fof(fact_416_widen__trans,axiom,
! [T_8,P_3,S_4,U_1] :
( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(P_3),S_4),U_1))
=> ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(P_3),U_1),T_8))
=> hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(P_3),S_4),T_8)) ) ) ).
fof(fact_417_prod__cases3,axiom,
! [Y_4] :
~ ! [A_2,B_1,C_4] : Y_4 != hAPP_P295788316har_ty(hAPP_l848957697har_ty(produc1002914035har_ty,A_2),hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,B_1),C_4)) ).
fof(fact_418_prod__cases3,axiom,
! [Y_4] :
~ ! [A_2,B_1,C_4] : Y_4 != hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_2),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,B_1),C_4)) ).
fof(fact_419_prod__cases3,axiom,
! [Y_4] :
~ ! [A_2,B_1,C_4] : Y_4 != hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_2),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,B_1),C_4)) ).
fof(fact_420_prod__cases3,axiom,
! [Y_1] :
~ ! [A_2,B_1,C_4] : Y_1 != hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_2),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B_1),C_4)) ).
fof(fact_421_prod__cases3,axiom,
! [Y_1] :
~ ! [A_2,B_1,C_4] : Y_1 != hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_2),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,B_1),C_4)) ).
fof(fact_422_prod__cases3,axiom,
! [Y_1] :
~ ! [A_2,B_1,C_4] : Y_1 != hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_2),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,B_1),C_4)) ).
fof(fact_423_prod__cases3,axiom,
! [Y_1] :
~ ! [A_2,B_1,C_4] : Y_1 != hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_2),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,B_1),C_4)) ).
fof(fact_424_prod__cases3,axiom,
! [Y_4] :
~ ! [A_2,B_1,C_4] :
( is_bop(A_2)
=> Y_4 != hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_2),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,B_1),C_4)) ) ).
fof(fact_425_prod__cases3,axiom,
! [Y_4] :
~ ! [A_2,B_1,C_4] : Y_4 != hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_2),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,B_1),C_4)) ).
fof(fact_426_prod__cases3,axiom,
! [Y_4] :
~ ! [A_2,B_1,C_4] : Y_4 != hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_2),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,B_1),C_4)) ).
fof(fact_427_prod__cases3,axiom,
! [Y_4] :
~ ! [A_2,B_1,C_4] : Y_4 != hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A_2),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,B_1),C_4)) ).
fof(fact_428_prod__cases3,axiom,
! [Y_1] :
~ ! [A_2,B_1,C_4] : Y_1 != hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A_2),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,B_1),C_4)) ).
fof(fact_429_prod__cases3,axiom,
! [Y_1] :
~ ! [A_2,B_1,C_4] : Y_1 != hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_2),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B_1),C_4)) ).
fof(fact_430_prod__cases3,axiom,
! [Y_1] :
~ ! [A_2,B_1,C_4] : Y_1 != hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A_2),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,B_1),C_4)) ).
fof(fact_431_prod__cases3,axiom,
! [Y_1] :
~ ! [A_2,B_1,C_4] : Y_1 != hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_2),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B_1),C_4)) ).
fof(fact_432_prod__cases3,axiom,
! [Y_4] :
~ ! [A_2,B_1,C_4] :
( is_bop(B_1)
=> Y_4 != hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A_2),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,B_1),C_4)) ) ).
fof(fact_433_prod__cases3,axiom,
! [Y_4] :
~ ! [A_2,B_1,C_4] : Y_4 != hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,A_2),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,B_1),C_4)) ).
fof(fact_434_prod__cases3,axiom,
! [Y_4] :
~ ! [A_2,B_1,C_4] : Y_4 != hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A_2),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,B_1),C_4)) ).
fof(fact_435_prod__cases3,axiom,
! [Y_4] :
~ ! [A_2,B_1,C_4] : Y_4 != hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,A_2),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,B_1),C_4)) ).
fof(fact_436_prod__cases3,axiom,
! [Y_4] :
~ ! [A_2,B_1,C_4] : Y_4 != hAPP_P976385092ar_val(hAPP_P800634639ar_val(produc1317546007ar_val,A_2),hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,B_1),C_4)) ).
fof(fact_437_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_2,B_1,C_4] :
( is_bop(A_2)
=> hBOOL(hAPP_P943837928l_bool(Pa,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_2),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,B_1),C_4)))) )
=> hBOOL(hAPP_P943837928l_bool(Pa,X_2)) ) ).
fof(fact_438_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_2,B_1,C_4] : hBOOL(hAPP_P71593144l_bool(Pa,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_2),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,B_1),C_4))))
=> hBOOL(hAPP_P71593144l_bool(Pa,X_2)) ) ).
fof(fact_439_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_2,B_1,C_4] : hBOOL(hAPP_P1333315679l_bool(Pa,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_2),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,B_1),C_4))))
=> hBOOL(hAPP_P1333315679l_bool(Pa,X_2)) ) ).
fof(fact_440_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_2,B_1,C_4] : hBOOL(hAPP_P1708370145l_bool(Pa,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_2),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,B_1),C_4))))
=> hBOOL(hAPP_P1708370145l_bool(Pa,X_2)) ) ).
fof(fact_441_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_2,B_1,C_4] : hBOOL(hAPP_P282169671l_bool(Pa,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_2),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B_1),C_4))))
=> hBOOL(hAPP_P282169671l_bool(Pa,X_2)) ) ).
fof(fact_442_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_2,B_1,C_4] : hBOOL(hAPP_P1907982426r_bool(Pa,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_2),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,B_1),C_4))))
=> hBOOL(hAPP_P1907982426r_bool(Pa,X_2)) ) ).
fof(fact_443_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_2,B_1,C_4] : hBOOL(hAPP_P92196306r_bool(Pa,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_2),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,B_1),C_4))))
=> hBOOL(hAPP_P92196306r_bool(Pa,X_2)) ) ).
fof(fact_444_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_2,B_1,C_4] : hBOOL(hAPP_P1002912327r_bool(Pa,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,A_2),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,B_1),C_4))))
=> hBOOL(hAPP_P1002912327r_bool(Pa,X_2)) ) ).
fof(fact_445_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_2,B_1,C_4] : hBOOL(hAPP_P439015943l_bool(Pa,hAPP_P976385092ar_val(hAPP_P800634639ar_val(produc1317546007ar_val,A_2),hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,B_1),C_4))))
=> hBOOL(hAPP_P439015943l_bool(Pa,X_2)) ) ).
fof(fact_446_confs__conv__map,axiom,
! [Pa,Ha,Vsa,Ts_1] :
( hBOOL(hAPP_list_ty_bool(list_all2_val_ty(conf_P373316194t_char(Pa,Ha),Vsa),Ts_1))
<=> ? [Ts_4] :
( hAPP_l2006940821ion_ty(map_val_option_ty(typeof_h(Ha)),Vsa) = hAPP_l1487035934ion_ty(map_ty_option_ty(some_ty),Ts_4)
& hBOOL(hAPP_list_ty_bool(list_all2_ty_ty(widen_2090681816t_char(Pa),Ts_4),Ts_1)) ) ) ).
fof(fact_447_list__all2__mono,axiom,
! [Q_1,Pa,Xs,Ys] :
( hBOOL(hAPP_list_ty_bool(list_all2_val_ty(Pa,Xs),Ys))
=> ( ! [Xs_7,Ys_5] :
( hBOOL(hAPP_ty_bool(hAPP_val_fun_ty_bool(Pa,Xs_7),Ys_5))
=> hBOOL(hAPP_ty_bool(hAPP_val_fun_ty_bool(Q_1,Xs_7),Ys_5)) )
=> hBOOL(hAPP_list_ty_bool(list_all2_val_ty(Q_1,Xs),Ys)) ) ) ).
fof(fact_448_list__all2__mono,axiom,
! [Q_1,Pa,Xs,Ys] :
( hBOOL(hAPP_list_ty_bool(list_all2_ty_ty(Pa,Xs),Ys))
=> ( ! [Xs_7,Ys_5] :
( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(Pa,Xs_7),Ys_5))
=> hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(Q_1,Xs_7),Ys_5)) )
=> hBOOL(hAPP_list_ty_bool(list_all2_ty_ty(Q_1,Xs),Ys)) ) ) ).
fof(fact_449_list__all2__refl,axiom,
! [Xs,Pa] :
( ! [X_1] : hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(Pa,X_1),X_1))
=> hBOOL(hAPP_list_ty_bool(list_all2_ty_ty(Pa,Xs),Xs)) ) ).
fof(fact_450_list__all2__antisym,axiom,
! [Xs,Ys,Q_1,Pa] :
( ! [X_1,Y_2] :
( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(Pa,X_1),Y_2))
=> ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(Q_1,Y_2),X_1))
=> X_1 = Y_2 ) )
=> ( hBOOL(hAPP_list_ty_bool(list_all2_ty_ty(Pa,Xs),Ys))
=> ( hBOOL(hAPP_list_ty_bool(list_all2_ty_ty(Q_1,Ys),Xs))
=> Xs = Ys ) ) ) ).
fof(fact_451_Ex__list__of__length,axiom,
! [N_1] :
? [Xs_7] : hAPP_l452123639ar_nat(size_s1143674878t_char,Xs_7) = N_1 ).
fof(fact_452_Ex__list__of__length,axiom,
! [N_1] :
? [Xs_7] : hAPP_list_val_nat(size_size_list_val,Xs_7) = N_1 ).
fof(fact_453_Ex__list__of__length,axiom,
! [N_1] :
? [Xs_7] : hAPP_list_ty_nat(size_size_list_ty,Xs_7) = N_1 ).
fof(fact_454_Ex__list__of__length,axiom,
! [N_1] :
? [Xs_7] : hAPP_l66428094ar_nat(size_s2113983095t_char,Xs_7) = N_1 ).
fof(fact_455_prod_Oexhaust,axiom,
! [Y_3] :
~ ! [A_2,B_1] : Y_3 != hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,A_2),B_1) ).
fof(fact_456_prod_Oexhaust,axiom,
! [Y_3] :
~ ! [A_2,B_1] : Y_3 != hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_2),B_1) ).
fof(fact_457_prod_Oexhaust,axiom,
! [Y_3] :
~ ! [A_2,B_1] : Y_3 != hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_2),B_1) ).
fof(fact_458_prod_Oexhaust,axiom,
! [Y_3] :
~ ! [A_2,B_1] : Y_3 != hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_2),B_1) ).
fof(fact_459_prod_Oexhaust,axiom,
! [Y_3] :
~ ! [A_2,B_1] :
( is_bop(A_2)
=> Y_3 != hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_2),B_1) ) ).
fof(fact_460_prod_Oexhaust,axiom,
! [Y_1] :
~ ! [A_2,B_1] : Y_1 != hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_2),B_1) ).
fof(fact_461_prod_Oexhaust,axiom,
! [Y_1] :
~ ! [A_2,B_1] : Y_1 != hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_2),B_1) ).
fof(fact_462_prod_Oexhaust,axiom,
! [Y_1] :
~ ! [A_2,B_1] : Y_1 != hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_2),B_1) ).
fof(fact_463_prod_Oexhaust,axiom,
! [Y_1] :
~ ! [A_2,B_1] : Y_1 != hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_2),B_1) ).
fof(fact_464_prod_Oexhaust,axiom,
! [Y_1] :
~ ! [A_2,B_1] : Y_1 != hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_2),B_1) ).
fof(fact_465_prod_Oexhaust,axiom,
! [Y_1] :
~ ! [A_2,B_1] : Y_1 != hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_2),B_1) ).
fof(fact_466_prod_Oexhaust,axiom,
! [Y_3] :
~ ! [A_2,B_1] : Y_3 != hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_2),B_1) ).
fof(fact_467_prod_Oexhaust,axiom,
! [Y_3] :
~ ! [A_2,B_1] : Y_3 != hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_2),B_1) ).
fof(fact_468_prod_Oexhaust,axiom,
! [Y_3] :
~ ! [A_2,B_1] : Y_3 != hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_2),B_1) ).
fof(fact_469_PairE,axiom,
! [P_2] :
~ ! [X_1,Y_2] : P_2 != hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,X_1),Y_2) ).
fof(fact_470_PairE,axiom,
! [P_2] :
~ ! [X_1,Y_2] : P_2 != hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,X_1),Y_2) ).
fof(fact_471_PairE,axiom,
! [P_2] :
~ ! [X_1,Y_2] : P_2 != hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,X_1),Y_2) ).
fof(fact_472_PairE,axiom,
! [P_2] :
~ ! [X_1,Y_2] : P_2 != hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,X_1),Y_2) ).
fof(fact_473_PairE,axiom,
! [P_2] :
~ ! [X_1,Y_2] :
( is_bop(X_1)
=> P_2 != hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,X_1),Y_2) ) ).
fof(fact_474_PairE,axiom,
! [P_1] :
~ ! [X_1,Y_2] : P_1 != hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,X_1),Y_2) ).
fof(fact_475_PairE,axiom,
! [P_1] :
~ ! [X_1,Y_2] : P_1 != hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,X_1),Y_2) ).
fof(fact_476_PairE,axiom,
! [P_1] :
~ ! [X_1,Y_2] : P_1 != hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,X_1),Y_2) ).
fof(fact_477_PairE,axiom,
! [P_1] :
~ ! [X_1,Y_2] : P_1 != hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,X_1),Y_2) ).
fof(fact_478_PairE,axiom,
! [P_1] :
~ ! [X_1,Y_2] : P_1 != hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X_1),Y_2) ).
fof(fact_479_PairE,axiom,
! [P_1] :
~ ! [X_1,Y_2] : P_1 != hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X_1),Y_2) ).
fof(fact_480_PairE,axiom,
! [P_2] :
~ ! [X_1,Y_2] : P_2 != hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,X_1),Y_2) ).
fof(fact_481_PairE,axiom,
! [P_2] :
~ ! [X_1,Y_2] : P_2 != hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,X_1),Y_2) ).
fof(fact_482_PairE,axiom,
! [P_2] :
~ ! [X_1,Y_2] : P_2 != hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,X_1),Y_2) ).
fof(fact_483_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P1070896250l_bool(Pa,X1))
<=> ? [A_2,B_1] : hBOOL(hAPP_P1070896250l_bool(Pa,hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,A_2),B_1))) ) ).
fof(fact_484_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P2014166431r_bool(Pa,X1))
<=> ? [A_2,B_1] : hBOOL(hAPP_P2014166431r_bool(Pa,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_2),B_1))) ) ).
fof(fact_485_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P449474095r_bool(Pa,X1))
<=> ? [A_2,B_1] : hBOOL(hAPP_P449474095r_bool(Pa,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_2),B_1))) ) ).
fof(fact_486_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P929938951l_bool(Pa,X1))
<=> ? [A_2,B_1] : hBOOL(hAPP_P929938951l_bool(Pa,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_2),B_1))) ) ).
fof(fact_487_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P943837928l_bool(Pa,X1))
<=> ? [A_2,B_1] :
( is_bop(A_2)
& hBOOL(hAPP_P943837928l_bool(Pa,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_2),B_1))) ) ) ).
fof(fact_488_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P71593144l_bool(Pa,X1))
<=> ? [A_2,B_1] : hBOOL(hAPP_P71593144l_bool(Pa,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_2),B_1))) ) ).
fof(fact_489_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P1333315679l_bool(Pa,X1))
<=> ? [A_2,B_1] : hBOOL(hAPP_P1333315679l_bool(Pa,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_2),B_1))) ) ).
fof(fact_490_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P1235399154l_bool(Pa,X1))
<=> ? [A_2,B_1] : hBOOL(hAPP_P1235399154l_bool(Pa,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_2),B_1))) ) ).
fof(fact_491_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P1708370145l_bool(Pa,X1))
<=> ? [A_2,B_1] : hBOOL(hAPP_P1708370145l_bool(Pa,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_2),B_1))) ) ).
fof(fact_492_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P282169671l_bool(Pa,X1))
<=> ? [A_2,B_1] : hBOOL(hAPP_P282169671l_bool(Pa,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_2),B_1))) ) ).
fof(fact_493_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P159683425l_bool(Pa,X1))
<=> ? [A_2,B_1] : hBOOL(hAPP_P159683425l_bool(Pa,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_2),B_1))) ) ).
fof(fact_494_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P2118621157r_bool(Pa,X1))
<=> ? [A_2,B_1] : hBOOL(hAPP_P2118621157r_bool(Pa,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_2),B_1))) ) ).
fof(fact_495_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P1907982426r_bool(Pa,X1))
<=> ? [A_2,B_1] : hBOOL(hAPP_P1907982426r_bool(Pa,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_2),B_1))) ) ).
fof(fact_496_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P92196306r_bool(Pa,X1))
<=> ? [A_2,B_1] : hBOOL(hAPP_P92196306r_bool(Pa,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_2),B_1))) ) ).
fof(fact_497_conf__widen,axiom,
! [T_4,Pa,Ha,V,Ta] :
( hBOOL(hAPP_ty_bool(hAPP_val_fun_ty_bool(conf_P373316194t_char(Pa,Ha),V),Ta))
=> ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),Ta),T_4))
=> hBOOL(hAPP_ty_bool(hAPP_val_fun_ty_bool(conf_P373316194t_char(Pa,Ha),V),T_4)) ) ) ).
fof(fact_498_confs__widens,axiom,
! [Ts_1,Pa,Ha,Vsa,Tsa] :
( hBOOL(hAPP_list_ty_bool(list_all2_val_ty(conf_P373316194t_char(Pa,Ha),Vsa),Tsa))
=> ( hBOOL(hAPP_list_ty_bool(list_all2_ty_ty(widen_2090681816t_char(Pa),Tsa),Ts_1))
=> hBOOL(hAPP_list_ty_bool(list_all2_val_ty(conf_P373316194t_char(Pa,Ha),Vsa),Ts_1)) ) ) ).
fof(fact_499_conf__def,axiom,
! [Pa,Ha,V,Ta] :
( hBOOL(hAPP_ty_bool(hAPP_val_fun_ty_bool(conf_P373316194t_char(Pa,Ha),V),Ta))
<=> ? [T_3] :
( hAPP_val_option_ty(typeof_h(Ha),V) = hAPP_ty_option_ty(some_ty,T_3)
& hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_3),Ta)) ) ) ).
fof(fact_500_blocksEval,axiom,
! [Pa,Ea,Ha,L_1,E,H,L,Vsa,Ps,Tsa] :
( hAPP_l66428094ar_nat(size_s2113983095t_char,Ps) = hAPP_list_ty_nat(size_size_list_ty,Tsa)
=> ( hAPP_l66428094ar_nat(size_s2113983095t_char,Ps) = hAPP_list_val_nat(size_size_list_val,Vsa)
=> ( 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,Tsa),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Vsa),Ea)))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1)),E),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L)))
=> ? [L_6] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),map_up1085636310ar_val(L_1,Ps,Vsa))),E),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L_6))) ) ) ) ).
fof(fact_501_option_Oinject,axiom,
! [A_1,A_8] :
( hAPP_nat_option_nat(some_nat,A_1) = hAPP_nat_option_nat(some_nat,A_8)
<=> A_1 = A_8 ) ).
fof(fact_502_option_Oinject,axiom,
! [A_1,A_8] :
( hAPP_val_option_val(some_val,A_1) = hAPP_val_option_val(some_val,A_8)
<=> A_1 = A_8 ) ).
fof(fact_503_option_Oinject,axiom,
! [A_1,A_8] :
( hAPP_P1510515380on_val(some_P948696889on_val,A_1) = hAPP_P1510515380on_val(some_P948696889on_val,A_8)
<=> A_1 = A_8 ) ).
fof(fact_504_option_Oinject,axiom,
! [A_1,A_8] :
( hAPP_ty_option_ty(some_ty,A_1) = hAPP_ty_option_ty(some_ty,A_8)
<=> A_1 = A_8 ) ).
fof(fact_505_curryI,axiom,
! [F_1,A_1,B] :
( hBOOL(hAPP_P1070896250l_bool(F_1,hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,A_1),B)))
=> hBOOL(hAPP_val_bool(hAPP_P486515074l_bool(produc218426791l_bool(F_1),A_1),B)) ) ).
fof(fact_506_curryI,axiom,
! [F_1,A_1,B] :
( hBOOL(hAPP_P2014166431r_bool(F_1,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_1),B)))
=> hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(produc288369490r_bool(F_1),A_1),B)) ) ).
fof(fact_507_curryI,axiom,
! [F_1,A_1,B] :
( hBOOL(hAPP_P449474095r_bool(F_1,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),B)))
=> hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(produc95371820r_bool(F_1),A_1),B)) ) ).
fof(fact_508_curryI,axiom,
! [F_1,A_1,B] :
( hBOOL(hAPP_P929938951l_bool(F_1,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),B)))
=> hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(produc886919678l_bool(F_1),A_1),B)) ) ).
fof(fact_509_curryI,axiom,
! [F_1,A_1,B] :
( hBOOL(hAPP_P943837928l_bool(F_1,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_1),B)))
=> hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(produc1555310053l_bool(F_1),A_1),B)) ) ).
fof(fact_510_curryI,axiom,
! [F_1,A_1,B] :
( hBOOL(hAPP_P71593144l_bool(F_1,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_1),B)))
=> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(produc1838470831l_bool(F_1),A_1),B)) ) ).
fof(fact_511_curryI,axiom,
! [F_1,A_1,B] :
( hBOOL(hAPP_P1333315679l_bool(F_1,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),B)))
=> hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(produc2053127004l_bool(F_1),A_1),B)) ) ).
fof(fact_512_curryI,axiom,
! [F_1,A_1,B] :
( hBOOL(hAPP_P1235399154l_bool(F_1,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_1),B)))
=> hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(produc481748255l_bool(F_1),A_1),B)) ) ).
fof(fact_513_curryI,axiom,
! [F_1,A_1,B] :
( hBOOL(hAPP_P1708370145l_bool(F_1,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_1),B)))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(produc1911975310l_bool(F_1),A_1),B)) ) ).
fof(fact_514_curryI,axiom,
! [F_1,A_1,B] :
( hBOOL(hAPP_P282169671l_bool(F_1,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),B)))
=> hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(produc1159035454l_bool(F_1),A_1),B)) ) ).
fof(fact_515_curryI,axiom,
! [F_1,A_1,B] :
( hBOOL(hAPP_P159683425l_bool(F_1,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_1),B)))
=> hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(produc2062775566l_bool(F_1),A_1),B)) ) ).
fof(fact_516_curryI,axiom,
! [F_1,A_1,B] :
( hBOOL(hAPP_P2118621157r_bool(F_1,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_1),B)))
=> hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(produc550034914r_bool(F_1),A_1),B)) ) ).
fof(fact_517_curryI,axiom,
! [F_1,A_1,B] :
( hBOOL(hAPP_P1907982426r_bool(F_1,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_1),B)))
=> hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(produc156891095r_bool(F_1),A_1),B)) ) ).
fof(fact_518_curryI,axiom,
! [F_1,A_1,B] :
( hBOOL(hAPP_P92196306r_bool(F_1,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),B)))
=> hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(produc1574020101r_bool(F_1),A_1),B)) ) ).
fof(fact_519_WTrts__Val,axiom,
! [Pa,Ha,E_4,Vsa,Tsa] :
( hBOOL(wTrts_1(Pa,Ha,E_4,hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vsa),Tsa))
<=> hAPP_l2006940821ion_ty(map_val_option_ty(typeof_h(Ha)),Vsa) = hAPP_l1487035934ion_ty(map_ty_option_ty(some_ty),Tsa) ) ).
fof(fact_520_blocksFinal,axiom,
! [Ha,L_1,Pa,Ea,Vsa,Vsa_1,Tsa] :
( hAPP_l66428094ar_nat(size_s2113983095t_char,Vsa_1) = hAPP_list_ty_nat(size_size_list_ty,Tsa)
=> ( hAPP_list_val_nat(size_size_list_val,Vsa) = hAPP_list_ty_nat(size_size_list_ty,Tsa)
=> ( hBOOL(final_list_char(Ea))
=> hBOOL(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,Vsa_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Tsa),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Vsa),Ea))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1))),transi2024712006on_val(red(Pa)))) ) ) ) ).
fof(fact_521_WTrtVal,axiom,
! [Pa,E_4,Ha,V,Ta] :
( hAPP_val_option_ty(typeof_h(Ha),V) = hAPP_ty_option_ty(some_ty,Ta)
=> hBOOL(wTrt(Pa,Ha,E_4,hAPP_v834067052t_char(val_list_char,V),Ta)) ) ).
fof(fact_522_lexn__length,axiom,
! [Xs,Ys,R_1,N] :
( hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Xs),Ys),lexn_char(R_1,N)))
=> ( hAPP_list_char_nat(size_size_list_char,Xs) = N
& hAPP_list_char_nat(size_size_list_char,Ys) = N ) ) ).
fof(fact_523_lexn__length,axiom,
! [Xs,Ys,R_1,N] :
( hBOOL(member894971540t_char(hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,Xs),Ys),lexn_exp_list_char(R_1,N)))
=> ( hAPP_l452123639ar_nat(size_s1143674878t_char,Xs) = N
& hAPP_l452123639ar_nat(size_s1143674878t_char,Ys) = N ) ) ).
fof(fact_524_lexn__length,axiom,
! [Xs,Ys,R_1,N] :
( hBOOL(member273646106st_val(hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,Xs),Ys),lexn_val(R_1,N)))
=> ( hAPP_list_val_nat(size_size_list_val,Xs) = N
& hAPP_list_val_nat(size_size_list_val,Ys) = N ) ) ).
fof(fact_525_lexn__length,axiom,
! [Xs,Ys,R_1,N] :
( hBOOL(member104734088ist_ty(hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,Xs),Ys),lexn_ty(R_1,N)))
=> ( hAPP_list_ty_nat(size_size_list_ty,Xs) = N
& hAPP_list_ty_nat(size_size_list_ty,Ys) = N ) ) ).
fof(fact_526_lexn__length,axiom,
! [Xs,Ys,R_1,N] :
( hBOOL(member817832404t_char(hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,Xs),Ys),lexn_list_char(R_1,N)))
=> ( hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = N
& hAPP_l66428094ar_nat(size_s2113983095t_char,Ys) = N ) ) ).
fof(fact_527_WTrts__hext__mono,axiom,
! [H,Pa,Ha,E_4,Es_1,Tsa] :
( hBOOL(wTrts_1(Pa,Ha,E_4,Es_1,Tsa))
=> ( hBOOL(hext(Ha,H))
=> hBOOL(wTrts_1(Pa,H,E_4,Es_1,Tsa)) ) ) ).
fof(fact_528_WTrt__hext__mono,axiom,
! [H,Pa,Ha,E_4,Ea,Ta] :
( hBOOL(wTrt(Pa,Ha,E_4,Ea,Ta))
=> ( hBOOL(hext(Ha,H))
=> hBOOL(wTrt(Pa,H,E_4,Ea,Ta)) ) ) ).
fof(fact_529_WTrts__same__length,axiom,
! [Pa,Ha,E_4,Es_1,Tsa] :
( hBOOL(wTrts_1(Pa,Ha,E_4,Es_1,Tsa))
=> hAPP_l452123639ar_nat(size_s1143674878t_char,Es_1) = hAPP_list_ty_nat(size_size_list_ty,Tsa) ) ).
fof(fact_530_curryE,axiom,
! [F_1,A_1,B] :
( hBOOL(hAPP_val_bool(hAPP_P486515074l_bool(produc218426791l_bool(F_1),A_1),B))
=> hBOOL(hAPP_P1070896250l_bool(F_1,hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,A_1),B))) ) ).
fof(fact_531_curryE,axiom,
! [F_1,A_1,B] :
( hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(produc288369490r_bool(F_1),A_1),B))
=> hBOOL(hAPP_P2014166431r_bool(F_1,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_1),B))) ) ).
fof(fact_532_curryE,axiom,
! [F_1,A_1,B] :
( hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(produc95371820r_bool(F_1),A_1),B))
=> hBOOL(hAPP_P449474095r_bool(F_1,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),B))) ) ).
fof(fact_533_curryE,axiom,
! [F_1,A_1,B] :
( hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(produc886919678l_bool(F_1),A_1),B))
=> hBOOL(hAPP_P929938951l_bool(F_1,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),B))) ) ).
fof(fact_534_curryE,axiom,
! [F_1,A_1,B] :
( hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(produc1555310053l_bool(F_1),A_1),B))
=> hBOOL(hAPP_P943837928l_bool(F_1,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_1),B))) ) ).
fof(fact_535_curryE,axiom,
! [F_1,A_1,B] :
( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(produc1838470831l_bool(F_1),A_1),B))
=> hBOOL(hAPP_P71593144l_bool(F_1,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_1),B))) ) ).
fof(fact_536_curryE,axiom,
! [F_1,A_1,B] :
( hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(produc2053127004l_bool(F_1),A_1),B))
=> hBOOL(hAPP_P1333315679l_bool(F_1,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),B))) ) ).
fof(fact_537_curryE,axiom,
! [F_1,A_1,B] :
( hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(produc481748255l_bool(F_1),A_1),B))
=> hBOOL(hAPP_P1235399154l_bool(F_1,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_1),B))) ) ).
fof(fact_538_curryE,axiom,
! [F_1,A_1,B] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(produc1911975310l_bool(F_1),A_1),B))
=> hBOOL(hAPP_P1708370145l_bool(F_1,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_1),B))) ) ).
fof(fact_539_curryE,axiom,
! [F_1,A_1,B] :
( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(produc1159035454l_bool(F_1),A_1),B))
=> hBOOL(hAPP_P282169671l_bool(F_1,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),B))) ) ).
fof(fact_540_curryE,axiom,
! [F_1,A_1,B] :
( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(produc2062775566l_bool(F_1),A_1),B))
=> hBOOL(hAPP_P159683425l_bool(F_1,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_1),B))) ) ).
fof(fact_541_curryE,axiom,
! [F_1,A_1,B] :
( hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(produc550034914r_bool(F_1),A_1),B))
=> hBOOL(hAPP_P2118621157r_bool(F_1,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_1),B))) ) ).
fof(fact_542_curryE,axiom,
! [F_1,A_1,B] :
( hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(produc156891095r_bool(F_1),A_1),B))
=> hBOOL(hAPP_P1907982426r_bool(F_1,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_1),B))) ) ).
fof(fact_543_curryE,axiom,
! [F_1,A_1,B] :
( hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(produc1574020101r_bool(F_1),A_1),B))
=> hBOOL(hAPP_P92196306r_bool(F_1,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),B))) ) ).
fof(fact_544_curryD,axiom,
! [F_1,A_1,B] :
( hBOOL(hAPP_val_bool(hAPP_P486515074l_bool(produc218426791l_bool(F_1),A_1),B))
=> hBOOL(hAPP_P1070896250l_bool(F_1,hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,A_1),B))) ) ).
fof(fact_545_curryD,axiom,
! [F_1,A_1,B] :
( hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(produc288369490r_bool(F_1),A_1),B))
=> hBOOL(hAPP_P2014166431r_bool(F_1,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_1),B))) ) ).
fof(fact_546_curryD,axiom,
! [F_1,A_1,B] :
( hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(produc95371820r_bool(F_1),A_1),B))
=> hBOOL(hAPP_P449474095r_bool(F_1,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),B))) ) ).
fof(fact_547_curryD,axiom,
! [F_1,A_1,B] :
( hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(produc886919678l_bool(F_1),A_1),B))
=> hBOOL(hAPP_P929938951l_bool(F_1,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),B))) ) ).
fof(fact_548_curryD,axiom,
! [F_1,A_1,B] :
( hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(produc1555310053l_bool(F_1),A_1),B))
=> hBOOL(hAPP_P943837928l_bool(F_1,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_1),B))) ) ).
fof(fact_549_curryD,axiom,
! [F_1,A_1,B] :
( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(produc1838470831l_bool(F_1),A_1),B))
=> hBOOL(hAPP_P71593144l_bool(F_1,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_1),B))) ) ).
fof(fact_550_curryD,axiom,
! [F_1,A_1,B] :
( hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(produc2053127004l_bool(F_1),A_1),B))
=> hBOOL(hAPP_P1333315679l_bool(F_1,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),B))) ) ).
fof(fact_551_curryD,axiom,
! [F_1,A_1,B] :
( hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(produc481748255l_bool(F_1),A_1),B))
=> hBOOL(hAPP_P1235399154l_bool(F_1,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_1),B))) ) ).
fof(fact_552_curryD,axiom,
! [F_1,A_1,B] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(produc1911975310l_bool(F_1),A_1),B))
=> hBOOL(hAPP_P1708370145l_bool(F_1,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_1),B))) ) ).
fof(fact_553_curryD,axiom,
! [F_1,A_1,B] :
( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(produc1159035454l_bool(F_1),A_1),B))
=> hBOOL(hAPP_P282169671l_bool(F_1,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),B))) ) ).
fof(fact_554_curryD,axiom,
! [F_1,A_1,B] :
( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(produc2062775566l_bool(F_1),A_1),B))
=> hBOOL(hAPP_P159683425l_bool(F_1,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_1),B))) ) ).
fof(fact_555_curryD,axiom,
! [F_1,A_1,B] :
( hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(produc550034914r_bool(F_1),A_1),B))
=> hBOOL(hAPP_P2118621157r_bool(F_1,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_1),B))) ) ).
fof(fact_556_curryD,axiom,
! [F_1,A_1,B] :
( hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(produc156891095r_bool(F_1),A_1),B))
=> hBOOL(hAPP_P1907982426r_bool(F_1,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_1),B))) ) ).
fof(fact_557_curryD,axiom,
! [F_1,A_1,B] :
( hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(produc1574020101r_bool(F_1),A_1),B))
=> hBOOL(hAPP_P92196306r_bool(F_1,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),B))) ) ).
fof(fact_558_red__hext__incr,axiom,
! [Ea,Ha,L_1,E,H,L,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L))),red(Pa)))
=> hBOOL(hext(Ha,H)) ) ).
fof(fact_559_rtrancl_Ortrancl__refl,axiom,
! [A_1,R_1] : hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),A_1),transi1395422419t_char(R_1))) ).
fof(fact_560_rtrancl_Ortrancl__refl,axiom,
! [A_1,R_1] : hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),A_1),transi374442731on_val(R_1))) ).
fof(fact_561_rtrancl_Ortrancl__refl,axiom,
! [A_1,R_1] : hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),A_1),transi2024712006on_val(R_1))) ).
fof(fact_562_rtrancl_Ortrancl__refl,axiom,
! [A_1,R_1] : hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),A_1),transi935034983cl_val(R_1))) ).
fof(fact_563_hext__typeof__mono,axiom,
! [V,Ta,Ha,H] :
( hBOOL(hext(Ha,H))
=> ( hAPP_val_option_ty(typeof_h(Ha),V) = hAPP_ty_option_ty(some_ty,Ta)
=> hAPP_val_option_ty(typeof_h(H),V) = hAPP_ty_option_ty(some_ty,Ta) ) ) ).
fof(fact_564_eval__hext,axiom,
! [Pa,Ea,Ha,L_1,E,H,L] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1)),E),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L)))
=> hBOOL(hext(Ha,H)) ) ).
fof(fact_565_hext__refl,axiom,
! [Ha] : hBOOL(hext(Ha,Ha)) ).
fof(fact_566_r__into__rtrancl,axiom,
! [P_1,R_1] :
( hBOOL(member1251428284t_char(P_1,R_1))
=> hBOOL(member1251428284t_char(P_1,transi1395422419t_char(R_1))) ) ).
fof(fact_567_r__into__rtrancl,axiom,
! [P_1,R_1] :
( hBOOL(member875476972on_val(P_1,R_1))
=> hBOOL(member875476972on_val(P_1,transi374442731on_val(R_1))) ) ).
fof(fact_568_r__into__rtrancl,axiom,
! [P_1,R_1] :
( hBOOL(member773094996on_val(P_1,R_1))
=> hBOOL(member773094996on_val(P_1,transi2024712006on_val(R_1))) ) ).
fof(fact_569_red__preserves__hconf,axiom,
! [E_4,Ta,Ea,Ha,L_1,E,H,L,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L))),red(Pa)))
=> ( hBOOL(wTrt(Pa,Ha,E_4,Ea,Ta))
=> ( hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(Pa),Ha))
=> hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(Pa),H)) ) ) ) ).
fof(fact_570_eval__finalId,axiom,
! [Pa,S_1,Ea] :
( hBOOL(final_list_char(Ea))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),Ea),S_1)) ) ).
fof(fact_571_eval__final,axiom,
! [Pa,Ea,S_1,E,S] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),E),S))
=> hBOOL(final_list_char(E)) ) ).
fof(fact_572_red__preserves__lconf,axiom,
! [E_4,Ta,Ea,Ha,L_1,E,H,L,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L))),red(Pa)))
=> ( hBOOL(wTrt(Pa,Ha,E_4,Ea,Ta))
=> ( hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),Ha),L_1),E_4))
=> hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),H),L),E_4)) ) ) ) ).
fof(fact_573_Val,axiom,
! [Pa,V,S_1] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,hAPP_v834067052t_char(val_list_char,V),S_1),hAPP_v834067052t_char(val_list_char,V)),S_1)) ).
fof(fact_574_lconf__hext,axiom,
! [H,Pa,Ha,L_1,E_4] :
( hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),Ha),L_1),E_4))
=> ( hBOOL(hext(Ha,H))
=> hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),H),L_1),E_4)) ) ) ).
fof(fact_575_rtrancl__idemp,axiom,
! [R_1] : transi1395422419t_char(transi1395422419t_char(R_1)) = transi1395422419t_char(R_1) ).
fof(fact_576_rtrancl__idemp,axiom,
! [R_1] : transi374442731on_val(transi374442731on_val(R_1)) = transi374442731on_val(R_1) ).
fof(fact_577_rtrancl__idemp,axiom,
! [R_1] : transi2024712006on_val(transi2024712006on_val(R_1)) = transi2024712006on_val(R_1) ).
fof(fact_578_hext__trans,axiom,
! [H_5,Ha,H] :
( hBOOL(hext(Ha,H))
=> ( hBOOL(hext(H,H_5))
=> hBOOL(hext(Ha,H_5)) ) ) ).
fof(fact_579_converse__rtrancl__into__rtrancl,axiom,
! [C_2,A_1,B,R_1] :
( hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),B),R_1))
=> ( hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,B),C_2),transi1395422419t_char(R_1)))
=> hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),C_2),transi1395422419t_char(R_1))) ) ) ).
fof(fact_580_converse__rtrancl__into__rtrancl,axiom,
! [C_2,A_1,B,R_1] :
( hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),B),R_1))
=> ( hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B),C_2),transi374442731on_val(R_1)))
=> hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),C_2),transi374442731on_val(R_1))) ) ) ).
fof(fact_581_converse__rtrancl__into__rtrancl,axiom,
! [C_2,A_1,B,R_1] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),B),R_1))
=> ( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B),C_2),transi2024712006on_val(R_1)))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),C_2),transi2024712006on_val(R_1))) ) ) ).
fof(fact_582_converse__rtrancl__into__rtrancl,axiom,
! [C_2,A_1,B,R_1] :
( hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),B),R_1))
=> ( hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,B),C_2),transi935034983cl_val(R_1)))
=> hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),C_2),transi935034983cl_val(R_1))) ) ) ).
fof(fact_583_rtrancl_Ortrancl__into__rtrancl,axiom,
! [C_2,A_1,B,R_1] :
( hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),B),transi1395422419t_char(R_1)))
=> ( hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,B),C_2),R_1))
=> hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),C_2),transi1395422419t_char(R_1))) ) ) ).
fof(fact_584_rtrancl_Ortrancl__into__rtrancl,axiom,
! [C_2,A_1,B,R_1] :
( hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),B),transi374442731on_val(R_1)))
=> ( hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B),C_2),R_1))
=> hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),C_2),transi374442731on_val(R_1))) ) ) ).
fof(fact_585_rtrancl_Ortrancl__into__rtrancl,axiom,
! [C_2,A_1,B,R_1] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),B),transi2024712006on_val(R_1)))
=> ( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B),C_2),R_1))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),C_2),transi2024712006on_val(R_1))) ) ) ).
fof(fact_586_rtrancl_Ortrancl__into__rtrancl,axiom,
! [C_2,A_1,B,R_1] :
( hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),B),transi935034983cl_val(R_1)))
=> ( hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,B),C_2),R_1))
=> hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),C_2),transi935034983cl_val(R_1))) ) ) ).
fof(fact_587_rtrancl__trans,axiom,
! [C_2,A_1,B,R_1] :
( hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),B),transi1395422419t_char(R_1)))
=> ( hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,B),C_2),transi1395422419t_char(R_1)))
=> hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),C_2),transi1395422419t_char(R_1))) ) ) ).
fof(fact_588_rtrancl__trans,axiom,
! [C_2,A_1,B,R_1] :
( hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),B),transi374442731on_val(R_1)))
=> ( hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B),C_2),transi374442731on_val(R_1)))
=> hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),C_2),transi374442731on_val(R_1))) ) ) ).
fof(fact_589_rtrancl__trans,axiom,
! [C_2,A_1,B,R_1] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),B),transi2024712006on_val(R_1)))
=> ( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B),C_2),transi2024712006on_val(R_1)))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),C_2),transi2024712006on_val(R_1))) ) ) ).
fof(fact_590_rtrancl__trans,axiom,
! [C_2,A_1,B,R_1] :
( hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),B),transi935034983cl_val(R_1)))
=> ( hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,B),C_2),transi935034983cl_val(R_1)))
=> hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),C_2),transi935034983cl_val(R_1))) ) ) ).
fof(fact_591_eval__cases_I2_J,axiom,
! [Pa,V,S_1,E,S] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,hAPP_v834067052t_char(val_list_char,V),S_1),E),S))
=> ~ ( E = hAPP_v834067052t_char(val_list_char,V)
=> S != S_1 ) ) ).
fof(fact_592_lconf__def,axiom,
! [Pa,Ha,L_1,E_4] :
( hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),Ha),L_1),E_4))
<=> ! [V_7,V_4] :
( hAPP_l207779698on_val(L_1,V_7) = hAPP_val_option_val(some_val,V_4)
=> ? [T_1] :
( hAPP_l512744617ion_ty(E_4,V_7) = hAPP_ty_option_ty(some_ty,T_1)
& hBOOL(hAPP_ty_bool(hAPP_val_fun_ty_bool(conf_P373316194t_char(Pa,Ha),V_4),T_1)) ) ) ) ).
fof(fact_593_converse__rtranclE2,axiom,
! [Xa_1,Xb_1,Za,Zb,R_1] :
( hBOOL(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_2,B_1] :
( hBOOL(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_2),B_1)),R_1))
=> ~ hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_2),B_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Za),Zb)),transi374442731on_val(R_1))) ) ) ) ).
fof(fact_594_converse__rtranclE2,axiom,
! [Xa_1,Xb_1,Za,Zb,R_1] :
( hBOOL(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_2,B_1] :
( hBOOL(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_2),B_1)),R_1))
=> ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_2),B_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Za),Zb)),transi2024712006on_val(R_1))) ) ) ) ).
fof(fact_595_converse__rtranclE2,axiom,
! [Xa_1,Xb_1,Za,Zb,R_1] :
( hBOOL(member619264020ar_val(hAPP_P976385092ar_val(hAPP_P800634639ar_val(produc1317546007ar_val,hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,Xa_1),Xb_1)),hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,Za),Zb)),transi1600669663ar_val(R_1)))
=> ( hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,Xa_1),Xb_1) != hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,Za),Zb)
=> ~ ! [A_2,B_1] :
( hBOOL(member619264020ar_val(hAPP_P976385092ar_val(hAPP_P800634639ar_val(produc1317546007ar_val,hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,Xa_1),Xb_1)),hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,A_2),B_1)),R_1))
=> ~ hBOOL(member619264020ar_val(hAPP_P976385092ar_val(hAPP_P800634639ar_val(produc1317546007ar_val,hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,A_2),B_1)),hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,Za),Zb)),transi1600669663ar_val(R_1))) ) ) ) ).
fof(fact_596_converse__rtranclE2,axiom,
! [Xa_1,Xb_1,Za,Zb,R_1] :
( hBOOL(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_2,B_1] :
( hBOOL(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_2),B_1)),R_1))
=> ~ hBOOL(member1999287380t_char(hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_2),B_1)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Za),Zb)),transi198989188t_char(R_1))) ) ) ) ).
fof(fact_597_converse__rtranclE2,axiom,
! [Xa_1,Xb_1,Za,Zb,R_1] :
( hBOOL(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_2,B_1] :
( hBOOL(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_2),B_1)),R_1))
=> ~ hBOOL(member794220506t_char(hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_2),B_1)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Za),Zb)),transi1095029602t_char(R_1))) ) ) ) ).
fof(fact_598_converse__rtranclE2,axiom,
! [Xa_1,Xb_1,Za,Zb,R_1] :
( hBOOL(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_2,B_1] :
( hBOOL(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_2),B_1)),R_1))
=> ~ hBOOL(member837208074al_val(hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_2),B_1)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Za),Zb)),transi1423755450al_val(R_1))) ) ) ) ).
fof(fact_599_converse__rtranclE2,axiom,
! [Xa_1,Xb_1,Za,Zb,R_1] :
( hBOOL(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_2,B_1] :
( is_bop(A_2)
=> ( hBOOL(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_2),B_1)),R_1))
=> ~ hBOOL(member1732271180al_val(hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_2),B_1)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Za),Zb)),transi1906258203al_val(R_1))) ) ) ) ) ).
fof(fact_600_converse__rtranclE2,axiom,
! [Xa_1,Xb_1,Za,Zb,R_1] :
( hBOOL(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_2,B_1] :
( hBOOL(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_2),B_1)),R_1))
=> ~ hBOOL(member88670778on_val(hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_2),B_1)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Za),Zb)),transi208336786on_val(R_1))) ) ) ) ).
fof(fact_601_converse__rtranclE2,axiom,
! [Xa_1,Xb_1,Za,Zb,R_1] :
( hBOOL(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_2,B_1] :
( hBOOL(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_2),B_1)),R_1))
=> ~ hBOOL(member1322055188on_val(hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_2),B_1)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Za),Zb)),transi61620055on_val(R_1))) ) ) ) ).
fof(fact_602_converse__rtranclE2,axiom,
! [Xa_1,Xb_1,Za,Zb,R_1] :
( hBOOL(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_2,B_1] :
( hBOOL(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_2),B_1)),R_1))
=> ~ hBOOL(member808015754on_val(hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_2),B_1)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Za),Zb)),transi910771962on_val(R_1))) ) ) ) ).
fof(fact_603_converse__rtranclE2,axiom,
! [Xa_1,Xb_1,Za,Zb,R_1] :
( hBOOL(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_2,B_1] :
( hBOOL(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_2),B_1)),R_1))
=> ~ hBOOL(member563141460on_val(hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_2),B_1)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Za),Zb)),transi921647814on_val(R_1))) ) ) ) ).
fof(fact_604_converse__rtranclE2,axiom,
! [Xa_1,Xb_1,Za,Zb,R_1] :
( hBOOL(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_2,B_1] :
( hBOOL(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_2),B_1)),R_1))
=> ~ hBOOL(member1161907014t_char(hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_2),B_1)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Za),Zb)),transi1789604888t_char(R_1))) ) ) ) ).
fof(fact_605_converse__rtranclE2,axiom,
! [Xa_1,Xb_1,Za,Zb,R_1] :
( hBOOL(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_2,B_1] :
( hBOOL(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_2),B_1)),R_1))
=> ~ hBOOL(member125098544t_char(hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_2),B_1)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Za),Zb)),transi1257872013t_char(R_1))) ) ) ) ).
fof(fact_606_converse__rtranclE2,axiom,
! [Xa_1,Xb_1,Za,Zb,R_1] :
( hBOOL(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_2,B_1] :
( hBOOL(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_2),B_1)),R_1))
=> ~ hBOOL(member1420286996t_char(hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_2),B_1)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Za),Zb)),transi122195895t_char(R_1))) ) ) ) ).
fof(fact_607_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(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_2,B_1,Aa,Ba] :
( hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_2),B_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Aa),Ba)),R_1))
=> ( hBOOL(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_2),B_1)) ) ) )
=> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,Ax),Ay)) ) ) ) ).
fof(fact_608_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(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_2,B_1,Aa,Ba] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_2),B_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Aa),Ba)),R_1))
=> ( hBOOL(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_2),B_1)) ) ) )
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,Ax),Ay)) ) ) ) ).
fof(fact_609_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(member619264020ar_val(hAPP_P976385092ar_val(hAPP_P800634639ar_val(produc1317546007ar_val,hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,Ax),Ay)),hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,Bx),By)),transi1600669663ar_val(R_1)))
=> ( hBOOL(hAPP_val_bool(hAPP_P486515074l_bool(Pa,Bx),By))
=> ( ! [A_2,B_1,Aa,Ba] :
( hBOOL(member619264020ar_val(hAPP_P976385092ar_val(hAPP_P800634639ar_val(produc1317546007ar_val,hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,A_2),B_1)),hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,Aa),Ba)),R_1))
=> ( hBOOL(member619264020ar_val(hAPP_P976385092ar_val(hAPP_P800634639ar_val(produc1317546007ar_val,hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,Aa),Ba)),hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,Bx),By)),transi1600669663ar_val(R_1)))
=> ( hBOOL(hAPP_val_bool(hAPP_P486515074l_bool(Pa,Aa),Ba))
=> hBOOL(hAPP_val_bool(hAPP_P486515074l_bool(Pa,A_2),B_1)) ) ) )
=> hBOOL(hAPP_val_bool(hAPP_P486515074l_bool(Pa,Ax),Ay)) ) ) ) ).
fof(fact_610_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(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_2,B_1,Aa,Ba] :
( hBOOL(member1999287380t_char(hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_2),B_1)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Aa),Ba)),R_1))
=> ( hBOOL(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_2),B_1)) ) ) )
=> hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(Pa,Ax),Ay)) ) ) ) ).
fof(fact_611_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(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_2,B_1,Aa,Ba] :
( hBOOL(member794220506t_char(hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_2),B_1)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Aa),Ba)),R_1))
=> ( hBOOL(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_2),B_1)) ) ) )
=> hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(Pa,Ax),Ay)) ) ) ) ).
fof(fact_612_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(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_2,B_1,Aa,Ba] :
( hBOOL(member837208074al_val(hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_2),B_1)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Aa),Ba)),R_1))
=> ( hBOOL(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_2),B_1)) ) ) )
=> hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(Pa,Ax),Ay)) ) ) ) ).
fof(fact_613_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(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_2,B_1,Aa,Ba] :
( ( is_bop(A_2)
& is_bop(Aa) )
=> ( hBOOL(member1732271180al_val(hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_2),B_1)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Aa),Ba)),R_1))
=> ( hBOOL(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_2),B_1)) ) ) ) )
=> hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(Pa,Ax),Ay)) ) ) ) ).
fof(fact_614_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(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_2,B_1,Aa,Ba] :
( hBOOL(member88670778on_val(hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_2),B_1)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Aa),Ba)),R_1))
=> ( hBOOL(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_2),B_1)) ) ) )
=> hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,Ax),Ay)) ) ) ) ).
fof(fact_615_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(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_2,B_1,Aa,Ba] :
( hBOOL(member1322055188on_val(hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_2),B_1)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Aa),Ba)),R_1))
=> ( hBOOL(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_2),B_1)) ) ) )
=> hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(Pa,Ax),Ay)) ) ) ) ).
fof(fact_616_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(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_2,B_1,Aa,Ba] :
( hBOOL(member808015754on_val(hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_2),B_1)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Aa),Ba)),R_1))
=> ( hBOOL(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_2),B_1)) ) ) )
=> hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,Ax),Ay)) ) ) ) ).
fof(fact_617_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(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_2,B_1,Aa,Ba] :
( hBOOL(member563141460on_val(hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_2),B_1)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Aa),Ba)),R_1))
=> ( hBOOL(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_2),B_1)) ) ) )
=> hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,Ax),Ay)) ) ) ) ).
fof(fact_618_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(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_2,B_1,Aa,Ba] :
( hBOOL(member1161907014t_char(hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_2),B_1)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Aa),Ba)),R_1))
=> ( hBOOL(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_2),B_1)) ) ) )
=> hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(Pa,Ax),Ay)) ) ) ) ).
fof(fact_619_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(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_2,B_1,Aa,Ba] :
( hBOOL(member125098544t_char(hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_2),B_1)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Aa),Ba)),R_1))
=> ( hBOOL(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_2),B_1)) ) ) )
=> hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(Pa,Ax),Ay)) ) ) ) ).
fof(fact_620_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(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_2,B_1,Aa,Ba] :
( hBOOL(member1420286996t_char(hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_2),B_1)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Aa),Ba)),R_1))
=> ( hBOOL(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_2),B_1)) ) ) )
=> hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(Pa,Ax),Ay)) ) ) ) ).
fof(fact_621_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(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_2,B_1,Aa,Ba] :
( hBOOL(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_2),B_1)),transi374442731on_val(R_1)))
=> ( hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_2),B_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Aa),Ba)),R_1))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,A_2),B_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,Aa),Ba)) ) ) )
=> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,Bx),By)) ) ) ) ).
fof(fact_622_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(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_2,B_1,Aa,Ba] :
( hBOOL(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_2),B_1)),transi2024712006on_val(R_1)))
=> ( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_2),B_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Aa),Ba)),R_1))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,A_2),B_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,Aa),Ba)) ) ) )
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,Bx),By)) ) ) ) ).
fof(fact_623_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(member619264020ar_val(hAPP_P976385092ar_val(hAPP_P800634639ar_val(produc1317546007ar_val,hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,Ax),Ay)),hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,Bx),By)),transi1600669663ar_val(R_1)))
=> ( hBOOL(hAPP_val_bool(hAPP_P486515074l_bool(Pa,Ax),Ay))
=> ( ! [A_2,B_1,Aa,Ba] :
( hBOOL(member619264020ar_val(hAPP_P976385092ar_val(hAPP_P800634639ar_val(produc1317546007ar_val,hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,Ax),Ay)),hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,A_2),B_1)),transi1600669663ar_val(R_1)))
=> ( hBOOL(member619264020ar_val(hAPP_P976385092ar_val(hAPP_P800634639ar_val(produc1317546007ar_val,hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,A_2),B_1)),hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,Aa),Ba)),R_1))
=> ( hBOOL(hAPP_val_bool(hAPP_P486515074l_bool(Pa,A_2),B_1))
=> hBOOL(hAPP_val_bool(hAPP_P486515074l_bool(Pa,Aa),Ba)) ) ) )
=> hBOOL(hAPP_val_bool(hAPP_P486515074l_bool(Pa,Bx),By)) ) ) ) ).
fof(fact_624_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(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_2,B_1,Aa,Ba] :
( hBOOL(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_2),B_1)),transi198989188t_char(R_1)))
=> ( hBOOL(member1999287380t_char(hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_2),B_1)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Aa),Ba)),R_1))
=> ( hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(Pa,A_2),B_1))
=> hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(Pa,Aa),Ba)) ) ) )
=> hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(Pa,Bx),By)) ) ) ) ).
fof(fact_625_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(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_2,B_1,Aa,Ba] :
( hBOOL(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_2),B_1)),transi1095029602t_char(R_1)))
=> ( hBOOL(member794220506t_char(hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_2),B_1)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Aa),Ba)),R_1))
=> ( hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(Pa,A_2),B_1))
=> hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(Pa,Aa),Ba)) ) ) )
=> hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(Pa,Bx),By)) ) ) ) ).
fof(fact_626_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(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_2,B_1,Aa,Ba] :
( hBOOL(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_2),B_1)),transi1423755450al_val(R_1)))
=> ( hBOOL(member837208074al_val(hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_2),B_1)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Aa),Ba)),R_1))
=> ( hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(Pa,A_2),B_1))
=> hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(Pa,Aa),Ba)) ) ) )
=> hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(Pa,Bx),By)) ) ) ) ).
fof(fact_627_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(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_2,B_1,Aa,Ba] :
( ( is_bop(A_2)
& is_bop(Aa) )
=> ( hBOOL(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_2),B_1)),transi1906258203al_val(R_1)))
=> ( hBOOL(member1732271180al_val(hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_2),B_1)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Aa),Ba)),R_1))
=> ( hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(Pa,A_2),B_1))
=> hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(Pa,Aa),Ba)) ) ) ) )
=> hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(Pa,Bx),By)) ) ) ) ).
fof(fact_628_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(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_2,B_1,Aa,Ba] :
( hBOOL(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_2),B_1)),transi208336786on_val(R_1)))
=> ( hBOOL(member88670778on_val(hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_2),B_1)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Aa),Ba)),R_1))
=> ( hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,A_2),B_1))
=> hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,Aa),Ba)) ) ) )
=> hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,Bx),By)) ) ) ) ).
fof(fact_629_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(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_2,B_1,Aa,Ba] :
( hBOOL(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_2),B_1)),transi61620055on_val(R_1)))
=> ( hBOOL(member1322055188on_val(hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_2),B_1)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Aa),Ba)),R_1))
=> ( hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(Pa,A_2),B_1))
=> hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(Pa,Aa),Ba)) ) ) )
=> hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(Pa,Bx),By)) ) ) ) ).
fof(fact_630_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(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_2,B_1,Aa,Ba] :
( hBOOL(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_2),B_1)),transi910771962on_val(R_1)))
=> ( hBOOL(member808015754on_val(hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_2),B_1)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Aa),Ba)),R_1))
=> ( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,A_2),B_1))
=> hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,Aa),Ba)) ) ) )
=> hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,Bx),By)) ) ) ) ).
fof(fact_631_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(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_2,B_1,Aa,Ba] :
( hBOOL(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_2),B_1)),transi921647814on_val(R_1)))
=> ( hBOOL(member563141460on_val(hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_2),B_1)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Aa),Ba)),R_1))
=> ( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,A_2),B_1))
=> hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,Aa),Ba)) ) ) )
=> hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,Bx),By)) ) ) ) ).
fof(fact_632_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(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_2,B_1,Aa,Ba] :
( hBOOL(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_2),B_1)),transi1789604888t_char(R_1)))
=> ( hBOOL(member1161907014t_char(hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_2),B_1)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Aa),Ba)),R_1))
=> ( hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(Pa,A_2),B_1))
=> hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(Pa,Aa),Ba)) ) ) )
=> hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(Pa,Bx),By)) ) ) ) ).
fof(fact_633_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(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_2,B_1,Aa,Ba] :
( hBOOL(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_2),B_1)),transi1257872013t_char(R_1)))
=> ( hBOOL(member125098544t_char(hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_2),B_1)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Aa),Ba)),R_1))
=> ( hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(Pa,A_2),B_1))
=> hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(Pa,Aa),Ba)) ) ) )
=> hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(Pa,Bx),By)) ) ) ) ).
fof(fact_634_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(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_2,B_1,Aa,Ba] :
( hBOOL(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_2),B_1)),transi122195895t_char(R_1)))
=> ( hBOOL(member1420286996t_char(hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_2),B_1)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Aa),Ba)),R_1))
=> ( hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(Pa,A_2),B_1))
=> hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(Pa,Aa),Ba)) ) ) )
=> hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(Pa,Bx),By)) ) ) ) ).
fof(fact_635_rtranclE,axiom,
! [A_1,B,R_1] :
( hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),B),transi1395422419t_char(R_1)))
=> ( A_1 != B
=> ~ ! [Y_2] :
( hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),Y_2),transi1395422419t_char(R_1)))
=> ~ hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Y_2),B),R_1)) ) ) ) ).
fof(fact_636_rtranclE,axiom,
! [A_1,B,R_1] :
( hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),B),transi374442731on_val(R_1)))
=> ( A_1 != B
=> ~ ! [Y_2] :
( hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),Y_2),transi374442731on_val(R_1)))
=> ~ hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Y_2),B),R_1)) ) ) ) ).
fof(fact_637_rtranclE,axiom,
! [A_1,B,R_1] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),B),transi2024712006on_val(R_1)))
=> ( A_1 != B
=> ~ ! [Y_2] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),Y_2),transi2024712006on_val(R_1)))
=> ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Y_2),B),R_1)) ) ) ) ).
fof(fact_638_rtranclE,axiom,
! [A_1,B,R_1] :
( hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),B),transi935034983cl_val(R_1)))
=> ( A_1 != B
=> ~ ! [Y_2] :
( hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),Y_2),transi935034983cl_val(R_1)))
=> ~ hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Y_2),B),R_1)) ) ) ) ).
fof(fact_639_converse__rtranclE,axiom,
! [X_2,Z_1,R_1] :
( hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,X_2),Z_1),transi1395422419t_char(R_1)))
=> ( X_2 != Z_1
=> ~ ! [Y_2] :
( hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,X_2),Y_2),R_1))
=> ~ hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Y_2),Z_1),transi1395422419t_char(R_1))) ) ) ) ).
fof(fact_640_converse__rtranclE,axiom,
! [X_2,Z_1,R_1] :
( hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,X_2),Z_1),transi374442731on_val(R_1)))
=> ( X_2 != Z_1
=> ~ ! [Y_2] :
( hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,X_2),Y_2),R_1))
=> ~ hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Y_2),Z_1),transi374442731on_val(R_1))) ) ) ) ).
fof(fact_641_converse__rtranclE,axiom,
! [X_2,Z_1,R_1] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X_2),Z_1),transi2024712006on_val(R_1)))
=> ( X_2 != Z_1
=> ~ ! [Y_2] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X_2),Y_2),R_1))
=> ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Y_2),Z_1),transi2024712006on_val(R_1))) ) ) ) ).
fof(fact_642_converse__rtranclE,axiom,
! [X_2,Z_1,R_1] :
( hBOOL(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_2] :
( hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,X_2),Y_2),R_1))
=> ~ hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Y_2),Z_1),transi935034983cl_val(R_1))) ) ) ) ).
fof(fact_643_mem__def,axiom,
! [X_2,A_16] :
( hBOOL(member_nat(X_2,A_16))
<=> hBOOL(hAPP_nat_bool(A_16,X_2)) ) ).
fof(fact_644_mem__def,axiom,
! [X_2,A_16] :
( hBOOL(member_list_char(X_2,A_16))
<=> hBOOL(hAPP_list_char_bool(A_16,X_2)) ) ).
fof(fact_645_mem__def,axiom,
! [X_2,A_16] :
( hBOOL(member1251428284t_char(X_2,A_16))
<=> hBOOL(hAPP_P449474095r_bool(A_16,X_2)) ) ).
fof(fact_646_mem__def,axiom,
! [X_2,A_16] :
( hBOOL(member875476972on_val(X_2,A_16))
<=> hBOOL(hAPP_P1333315679l_bool(A_16,X_2)) ) ).
fof(fact_647_mem__def,axiom,
! [X_2,A_16] :
( hBOOL(member773094996on_val(X_2,A_16))
<=> hBOOL(hAPP_P282169671l_bool(A_16,X_2)) ) ).
fof(fact_648_converse__rtrancl__induct,axiom,
! [Pa,A_1,B,R_1] :
( hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),B),transi1395422419t_char(R_1)))
=> ( hBOOL(hAPP_list_char_bool(Pa,B))
=> ( ! [Y_2,Z] :
( hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Y_2),Z),R_1))
=> ( hBOOL(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_2)) ) ) )
=> hBOOL(hAPP_list_char_bool(Pa,A_1)) ) ) ) ).
fof(fact_649_converse__rtrancl__induct,axiom,
! [Pa,A_1,B,R_1] :
( hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),B),transi374442731on_val(R_1)))
=> ( hBOOL(hAPP_P71593144l_bool(Pa,B))
=> ( ! [Y_2,Z] :
( hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Y_2),Z),R_1))
=> ( hBOOL(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_2)) ) ) )
=> hBOOL(hAPP_P71593144l_bool(Pa,A_1)) ) ) ) ).
fof(fact_650_converse__rtrancl__induct,axiom,
! [Pa,A_1,B,R_1] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),B),transi2024712006on_val(R_1)))
=> ( hBOOL(hAPP_P1708370145l_bool(Pa,B))
=> ( ! [Y_2,Z] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Y_2),Z),R_1))
=> ( hBOOL(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_2)) ) ) )
=> hBOOL(hAPP_P1708370145l_bool(Pa,A_1)) ) ) ) ).
fof(fact_651_converse__rtrancl__induct,axiom,
! [Pa,A_1,B,R_1] :
( hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),B),transi935034983cl_val(R_1)))
=> ( hBOOL(hAPP_val_bool(Pa,B))
=> ( ! [Y_2,Z] :
( hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Y_2),Z),R_1))
=> ( hBOOL(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_2)) ) ) )
=> hBOOL(hAPP_val_bool(Pa,A_1)) ) ) ) ).
fof(fact_652_rtrancl__induct,axiom,
! [Pa,A_1,B,R_1] :
( hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),B),transi1395422419t_char(R_1)))
=> ( hBOOL(hAPP_list_char_bool(Pa,A_1))
=> ( ! [Y_2,Z] :
( hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),Y_2),transi1395422419t_char(R_1)))
=> ( hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Y_2),Z),R_1))
=> ( hBOOL(hAPP_list_char_bool(Pa,Y_2))
=> hBOOL(hAPP_list_char_bool(Pa,Z)) ) ) )
=> hBOOL(hAPP_list_char_bool(Pa,B)) ) ) ) ).
fof(fact_653_rtrancl__induct,axiom,
! [Pa,A_1,B,R_1] :
( hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),B),transi374442731on_val(R_1)))
=> ( hBOOL(hAPP_P71593144l_bool(Pa,A_1))
=> ( ! [Y_2,Z] :
( hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),Y_2),transi374442731on_val(R_1)))
=> ( hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Y_2),Z),R_1))
=> ( hBOOL(hAPP_P71593144l_bool(Pa,Y_2))
=> hBOOL(hAPP_P71593144l_bool(Pa,Z)) ) ) )
=> hBOOL(hAPP_P71593144l_bool(Pa,B)) ) ) ) ).
fof(fact_654_rtrancl__induct,axiom,
! [Pa,A_1,B,R_1] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),B),transi2024712006on_val(R_1)))
=> ( hBOOL(hAPP_P1708370145l_bool(Pa,A_1))
=> ( ! [Y_2,Z] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),Y_2),transi2024712006on_val(R_1)))
=> ( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Y_2),Z),R_1))
=> ( hBOOL(hAPP_P1708370145l_bool(Pa,Y_2))
=> hBOOL(hAPP_P1708370145l_bool(Pa,Z)) ) ) )
=> hBOOL(hAPP_P1708370145l_bool(Pa,B)) ) ) ) ).
fof(fact_655_rtrancl__induct,axiom,
! [Pa,A_1,B,R_1] :
( hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),B),transi935034983cl_val(R_1)))
=> ( hBOOL(hAPP_val_bool(Pa,A_1))
=> ( ! [Y_2,Z] :
( hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),Y_2),transi935034983cl_val(R_1)))
=> ( hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Y_2),Z),R_1))
=> ( hBOOL(hAPP_val_bool(Pa,Y_2))
=> hBOOL(hAPP_val_bool(Pa,Z)) ) ) )
=> hBOOL(hAPP_val_bool(Pa,B)) ) ) ) ).
fof(fact_656_blocksRedsFinal,axiom,
! [L_5,Ea,Ha,L_1,E,H,L,Pa,Vsa,Vsa_1,Tsa] :
( hAPP_l66428094ar_nat(size_s2113983095t_char,Vsa_1) = hAPP_list_ty_nat(size_size_list_ty,Tsa)
=> ( hAPP_list_val_nat(size_size_list_val,Vsa) = hAPP_list_ty_nat(size_size_list_ty,Tsa)
=> ( hBOOL(distinct_list_char(Vsa_1))
=> ( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),map_up1085636310ar_val(L_1,Vsa_1,Vsa)))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L))),transi2024712006on_val(red(Pa))))
=> ( hBOOL(final_list_char(E))
=> ( L_5 = overri2012515291on_val(L,L_1,set_list_char(Vsa_1))
=> hBOOL(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,Vsa_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Tsa),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Vsa),Ea))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L_5))),transi2024712006on_val(red(Pa)))) ) ) ) ) ) ) ).
fof(fact_657_Red__lcl__add,axiom,
! [L_0,Ea,Ha,L_1,E,H,L,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L))),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),map_ad325961431ar_val(L_0,L_1)))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),map_ad325961431ar_val(L_0,L)))),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_658_map__eq__conv,axiom,
! [F_1,Xs,G] :
( hAPP_l608137480ar_val(map_Pr1153581243ar_val(F_1),Xs) = hAPP_l608137480ar_val(map_Pr1153581243ar_val(G),Xs)
<=> ! [X_1] :
( hBOOL(member1783291580har_ty(X_1,set_Pr1831523898har_ty(Xs)))
=> hAPP_P841862366ar_val(F_1,X_1) = hAPP_P841862366ar_val(G,X_1) ) ) ).
fof(fact_659_map__eq__conv,axiom,
! [F_1,Xs,G] :
( hAPP_l1892737211st_val(map_list_char_val(F_1),Xs) = hAPP_l1892737211st_val(map_list_char_val(G),Xs)
<=> ! [X_1] :
( hBOOL(member_list_char(X_1,set_list_char(Xs)))
=> hAPP_list_char_val(F_1,X_1) = hAPP_list_char_val(G,X_1) ) ) ).
fof(fact_660_map__eq__conv,axiom,
! [F_1,Xs,G] :
( hAPP_l732421366t_char(map_va1934808527t_char(F_1),Xs) = hAPP_l732421366t_char(map_va1934808527t_char(G),Xs)
<=> ! [X_1] :
( hBOOL(member_val(X_1,set_val(Xs)))
=> hAPP_v834067052t_char(F_1,X_1) = hAPP_v834067052t_char(G,X_1) ) ) ).
fof(fact_661_map__eq__conv,axiom,
! [F_1,Xs,G] :
( hAPP_l1487035934ion_ty(map_ty_option_ty(F_1),Xs) = hAPP_l1487035934ion_ty(map_ty_option_ty(G),Xs)
<=> ! [X_1] :
( hBOOL(member_ty(X_1,set_ty(Xs)))
=> hAPP_ty_option_ty(F_1,X_1) = hAPP_ty_option_ty(G,X_1) ) ) ).
fof(fact_662_map__eq__conv,axiom,
! [F_1,Xs,G] :
( hAPP_l2006940821ion_ty(map_val_option_ty(F_1),Xs) = hAPP_l2006940821ion_ty(map_val_option_ty(G),Xs)
<=> ! [X_1] :
( hBOOL(member_val(X_1,set_val(Xs)))
=> hAPP_val_option_ty(F_1,X_1) = hAPP_val_option_ty(G,X_1) ) ) ).
fof(fact_663_red__lcl__add,axiom,
! [L_0,Ea,Ha,L_1,E,H,L,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L))),red(Pa)))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),map_ad325961431ar_val(L_0,L_1)))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),map_ad325961431ar_val(L_0,L)))),red(Pa))) ) ).
fof(fact_664_blocksReds,axiom,
! [Ea,Ha,L_1,E,H,L,Pa,Vsa,Vsa_1,Tsa] :
( hAPP_l66428094ar_nat(size_s2113983095t_char,Vsa_1) = hAPP_list_ty_nat(size_size_list_ty,Tsa)
=> ( hAPP_list_val_nat(size_size_list_val,Vsa) = hAPP_list_ty_nat(size_size_list_ty,Tsa)
=> ( hBOOL(distinct_list_char(Vsa_1))
=> ( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),map_up1085636310ar_val(L_1,Vsa_1,Vsa)))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L))),transi2024712006on_val(red(Pa))))
=> hBOOL(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,Vsa_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Tsa),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Vsa),Ea))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Vsa_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Tsa),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,hAPP_l1892737211st_val(map_list_char_val(comp_o1129292306t_char(the_val,L)),Vsa_1)),E))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),overri2012515291on_val(L,L_1,set_list_char(Vsa_1))))),transi2024712006on_val(red(Pa)))) ) ) ) ) ).
fof(fact_665_map__cong,axiom,
! [F_1,G,Xs,Ys] :
( Xs = Ys
=> ( ! [X_1] :
( hBOOL(member1783291580har_ty(X_1,set_Pr1831523898har_ty(Ys)))
=> hAPP_P841862366ar_val(F_1,X_1) = hAPP_P841862366ar_val(G,X_1) )
=> hAPP_l608137480ar_val(map_Pr1153581243ar_val(F_1),Xs) = hAPP_l608137480ar_val(map_Pr1153581243ar_val(G),Ys) ) ) ).
fof(fact_666_map__cong,axiom,
! [F_1,G,Xs,Ys] :
( Xs = Ys
=> ( ! [X_1] :
( hBOOL(member_list_char(X_1,set_list_char(Ys)))
=> hAPP_list_char_val(F_1,X_1) = hAPP_list_char_val(G,X_1) )
=> hAPP_l1892737211st_val(map_list_char_val(F_1),Xs) = hAPP_l1892737211st_val(map_list_char_val(G),Ys) ) ) ).
fof(fact_667_map__cong,axiom,
! [F_1,G,Xs,Ys] :
( Xs = Ys
=> ( ! [X_1] :
( hBOOL(member_val(X_1,set_val(Ys)))
=> hAPP_v834067052t_char(F_1,X_1) = hAPP_v834067052t_char(G,X_1) )
=> hAPP_l732421366t_char(map_va1934808527t_char(F_1),Xs) = hAPP_l732421366t_char(map_va1934808527t_char(G),Ys) ) ) ).
fof(fact_668_map__cong,axiom,
! [F_1,G,Xs,Ys] :
( Xs = Ys
=> ( ! [X_1] :
( hBOOL(member_ty(X_1,set_ty(Ys)))
=> hAPP_ty_option_ty(F_1,X_1) = hAPP_ty_option_ty(G,X_1) )
=> hAPP_l1487035934ion_ty(map_ty_option_ty(F_1),Xs) = hAPP_l1487035934ion_ty(map_ty_option_ty(G),Ys) ) ) ).
fof(fact_669_map__cong,axiom,
! [F_1,G,Xs,Ys] :
( Xs = Ys
=> ( ! [X_1] :
( hBOOL(member_val(X_1,set_val(Ys)))
=> hAPP_val_option_ty(F_1,X_1) = hAPP_val_option_ty(G,X_1) )
=> hAPP_l2006940821ion_ty(map_val_option_ty(F_1),Xs) = hAPP_l2006940821ion_ty(map_val_option_ty(G),Ys) ) ) ).
fof(fact_670_map__idI,axiom,
! [F_1,Xs] :
( ! [X_1] :
( hBOOL(member_list_char(X_1,set_list_char(Xs)))
=> hAPP_l1074208899t_char(F_1,X_1) = X_1 )
=> hAPP_l407174677t_char(map_li1333403488t_char(F_1),Xs) = Xs ) ).
fof(fact_671_map__idI,axiom,
! [F_1,Xs] :
( ! [X_1] :
( hBOOL(member_nat(X_1,set_nat(Xs)))
=> hAPP_nat_nat(F_1,X_1) = X_1 )
=> hAPP_l248265089st_nat(map_nat_nat(F_1),Xs) = Xs ) ).
fof(fact_672_map__idI,axiom,
! [F_1,Xs] :
( ! [X_1] :
( hBOOL(member1251428284t_char(X_1,set_Pr550895038t_char(Xs)))
=> hAPP_P760138657t_char(F_1,X_1) = X_1 )
=> hAPP_l250787541t_char(map_Pr361633150t_char(F_1),Xs) = Xs ) ).
fof(fact_673_map__idI,axiom,
! [F_1,Xs] :
( ! [X_1] :
( hBOOL(member875476972on_val(X_1,set_Pr771975662on_val(Xs)))
=> hAPP_P1439304705on_val(F_1,X_1) = X_1 )
=> hAPP_l1208602837on_val(map_Pr1729094110on_val(F_1),Xs) = Xs ) ).
fof(fact_674_map__idI,axiom,
! [F_1,Xs] :
( ! [X_1] :
( hBOOL(member773094996on_val(X_1,set_Pr1921835862on_val(Xs)))
=> hAPP_P918220497on_val(F_1,X_1) = X_1 )
=> hAPP_l1695428693on_val(map_Pr1655409582on_val(F_1),Xs) = Xs ) ).
fof(fact_675_map__ext,axiom,
! [F_1,G,Xs] :
( ! [X_1] :
( hBOOL(member1783291580har_ty(X_1,set_Pr1831523898har_ty(Xs)))
=> hAPP_P841862366ar_val(F_1,X_1) = hAPP_P841862366ar_val(G,X_1) )
=> hAPP_l608137480ar_val(map_Pr1153581243ar_val(F_1),Xs) = hAPP_l608137480ar_val(map_Pr1153581243ar_val(G),Xs) ) ).
fof(fact_676_map__ext,axiom,
! [F_1,G,Xs] :
( ! [X_1] :
( hBOOL(member_list_char(X_1,set_list_char(Xs)))
=> hAPP_list_char_val(F_1,X_1) = hAPP_list_char_val(G,X_1) )
=> hAPP_l1892737211st_val(map_list_char_val(F_1),Xs) = hAPP_l1892737211st_val(map_list_char_val(G),Xs) ) ).
fof(fact_677_map__ext,axiom,
! [F_1,G,Xs] :
( ! [X_1] :
( hBOOL(member_val(X_1,set_val(Xs)))
=> hAPP_v834067052t_char(F_1,X_1) = hAPP_v834067052t_char(G,X_1) )
=> hAPP_l732421366t_char(map_va1934808527t_char(F_1),Xs) = hAPP_l732421366t_char(map_va1934808527t_char(G),Xs) ) ).
fof(fact_678_map__ext,axiom,
! [F_1,G,Xs] :
( ! [X_1] :
( hBOOL(member_ty(X_1,set_ty(Xs)))
=> hAPP_ty_option_ty(F_1,X_1) = hAPP_ty_option_ty(G,X_1) )
=> hAPP_l1487035934ion_ty(map_ty_option_ty(F_1),Xs) = hAPP_l1487035934ion_ty(map_ty_option_ty(G),Xs) ) ).
fof(fact_679_map__ext,axiom,
! [F_1,G,Xs] :
( ! [X_1] :
( hBOOL(member_val(X_1,set_val(Xs)))
=> hAPP_val_option_ty(F_1,X_1) = hAPP_val_option_ty(G,X_1) )
=> hAPP_l2006940821ion_ty(map_val_option_ty(F_1),Xs) = hAPP_l2006940821ion_ty(map_val_option_ty(G),Xs) ) ).
fof(fact_680_ex__map__conv,axiom,
! [Ys,F_1] :
( ? [Xs_7] : Ys = hAPP_l608137480ar_val(map_Pr1153581243ar_val(F_1),Xs_7)
<=> ! [X_1] :
( hBOOL(member806854661ar_val(X_1,set_Pr309835907ar_val(Ys)))
=> ? [Xa] : X_1 = hAPP_P841862366ar_val(F_1,Xa) ) ) ).
fof(fact_681_ex__map__conv,axiom,
! [Ys,F_1] :
( ? [Xs_7] : Ys = hAPP_l1892737211st_val(map_list_char_val(F_1),Xs_7)
<=> ! [X_1] :
( hBOOL(member_val(X_1,set_val(Ys)))
=> ? [Xa] : X_1 = hAPP_list_char_val(F_1,Xa) ) ) ).
fof(fact_682_ex__map__conv,axiom,
! [Ys,F_1] :
( ? [Xs_7] : Ys = hAPP_l732421366t_char(map_va1934808527t_char(F_1),Xs_7)
<=> ! [X_1] :
( hBOOL(member_exp_list_char(X_1,set_exp_list_char(Ys)))
=> ? [Xa] : X_1 = hAPP_v834067052t_char(F_1,Xa) ) ) ).
fof(fact_683_ex__map__conv,axiom,
! [Ys,F_1] :
( ? [Xs_7] : Ys = hAPP_l1487035934ion_ty(map_ty_option_ty(F_1),Xs_7)
<=> ! [X_1] :
( hBOOL(member_option_ty(X_1,set_option_ty(Ys)))
=> ? [Xa] : X_1 = hAPP_ty_option_ty(F_1,Xa) ) ) ).
fof(fact_684_ex__map__conv,axiom,
! [Ys,F_1] :
( ? [Xs_7] : Ys = hAPP_l2006940821ion_ty(map_val_option_ty(F_1),Xs_7)
<=> ! [X_1] :
( hBOOL(member_option_ty(X_1,set_option_ty(Ys)))
=> ? [Xa] : X_1 = hAPP_val_option_ty(F_1,Xa) ) ) ).
fof(fact_685_map__add__upds,axiom,
! [M1,M2,Xs,Ys] : map_ad325961431ar_val(M1,map_up1085636310ar_val(M2,Xs,Ys)) = map_up1085636310ar_val(map_ad325961431ar_val(M1,M2),Xs,Ys) ).
fof(fact_686_map__add__upds,axiom,
! [M1,M2,Xs,Ys] : map_add_list_char_ty(M1,map_up891053837har_ty(M2,Xs,Ys)) = map_up891053837har_ty(map_add_list_char_ty(M1,M2),Xs,Ys) ).
fof(fact_687_map__upds__apply__nontin,axiom,
! [F_1,Ys,X_2,Xs] :
( ~ hBOOL(member_list_char(X_2,set_list_char(Xs)))
=> hAPP_l207779698on_val(map_up1085636310ar_val(F_1,Xs,Ys),X_2) = hAPP_l207779698on_val(F_1,X_2) ) ).
fof(fact_688_map__upds__apply__nontin,axiom,
! [F_1,Ys,X_2,Xs] :
( ~ hBOOL(member_list_char(X_2,set_list_char(Xs)))
=> hAPP_l512744617ion_ty(map_up891053837har_ty(F_1,Xs,Ys),X_2) = hAPP_l512744617ion_ty(F_1,X_2) ) ).
fof(fact_689_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_690_hext__def,axiom,
! [Ha,H] :
( hBOOL(hext(Ha,H))
<=> ! [A_2,C_1,Fs] :
( hAPP_n546249108on_val(Ha,A_2) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C_1),Fs))
=> ? [Fs_3] : hAPP_n546249108on_val(H,A_2) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C_1),Fs_3)) ) ) ).
fof(fact_691_hext__objD,axiom,
! [A_1,C,Fs_1,Ha,H] :
( hBOOL(hext(Ha,H))
=> ( hAPP_n546249108on_val(Ha,A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_1))
=> ? [Fs_3] : hAPP_n546249108on_val(H,A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_3)) ) ) ).
fof(fact_692_map__comp__map,axiom,
! [F_1,G] : comp_l347675690har_ty(map_li596218076on_val(F_1),map_li912744805ar_val(G)) = map_li1065623653on_val(comp_l424027617har_ty(F_1,G)) ).
fof(fact_693_map__comp__map,axiom,
! [F_1,G] : comp_l1825390573t_char(map_option_val_val(F_1),map_li50976719on_val(G)) = map_list_char_val(comp_o1129292306t_char(F_1,G)) ).
fof(fact_694_List_Omap_Ocomp,axiom,
! [F_1,G] : comp_l347675690har_ty(map_li596218076on_val(F_1),map_li912744805ar_val(G)) = map_li1065623653on_val(comp_l424027617har_ty(F_1,G)) ).
fof(fact_695_List_Omap_Ocomp,axiom,
! [F_1,G] : comp_l1825390573t_char(map_option_val_val(F_1),map_li50976719on_val(G)) = map_list_char_val(comp_o1129292306t_char(F_1,G)) ).
fof(fact_696_map__map,axiom,
! [F_1,G,Xs] : hAPP_l1790629643on_val(map_li596218076on_val(F_1),hAPP_l823328606ar_val(map_li912744805ar_val(G),Xs)) = hAPP_l721971010on_val(map_li1065623653on_val(comp_l424027617har_ty(F_1,G)),Xs) ).
fof(fact_697_map__map,axiom,
! [F_1,G,Xs] : hAPP_l228474410st_val(map_option_val_val(F_1),hAPP_l297961988on_val(map_li50976719on_val(G),Xs)) = hAPP_l1892737211st_val(map_list_char_val(comp_o1129292306t_char(F_1,G)),Xs) ).
fof(fact_698_List_Omap_Ocompositionality,axiom,
! [F_1,G,List_2] : hAPP_l1790629643on_val(map_li596218076on_val(F_1),hAPP_l823328606ar_val(map_li912744805ar_val(G),List_2)) = hAPP_l721971010on_val(map_li1065623653on_val(comp_l424027617har_ty(F_1,G)),List_2) ).
fof(fact_699_List_Omap_Ocompositionality,axiom,
! [F_1,G,List_2] : hAPP_l228474410st_val(map_option_val_val(F_1),hAPP_l297961988on_val(map_li50976719on_val(G),List_2)) = hAPP_l1892737211st_val(map_list_char_val(comp_o1129292306t_char(F_1,G)),List_2) ).
fof(fact_700_the_Osimps,axiom,
! [X_2] : hAPP_o1977518472on_val(the_Pr431167171on_val,hAPP_P1510515380on_val(some_P948696889on_val,X_2)) = X_2 ).
fof(fact_701_the_Osimps,axiom,
! [X_7] : hAPP_option_val_val(the_val,hAPP_val_option_val(some_val,X_7)) = X_7 ).
fof(fact_702_the_Osimps,axiom,
! [X_7] : hAPP_option_nat_nat(the_nat,hAPP_nat_option_nat(some_nat,X_7)) = X_7 ).
fof(fact_703_the_Osimps,axiom,
! [X_7] : hAPP_option_ty_ty(the_ty,hAPP_ty_option_ty(some_ty,X_7)) = X_7 ).
fof(fact_704_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_705_hextI,axiom,
! [H,Ha] :
( ! [A_2,C_1,Fs] :
( hAPP_n546249108on_val(Ha,A_2) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C_1),Fs))
=> ? [Fs_3] : hAPP_n546249108on_val(H,A_2) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C_1),Fs_3)) )
=> hBOOL(hext(Ha,H)) ) ).
fof(fact_706_TryRedsVal,axiom,
! [C,V_1,E_2,Ea,S_1,V,S,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V)),S)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(Ea,C,V_1,E_2)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V)),S)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_707_reds__preserves__lconf,axiom,
! [E_4,Tsa,Es_1,Ha,L_1,Es,H,L,Pa] :
( hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1))),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L))),reds(Pa)))
=> ( hBOOL(wTrts_1(Pa,Ha,E_4,Es_1,Tsa))
=> ( hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),Ha),L_1),E_4))
=> hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),H),L),E_4)) ) ) ) ).
fof(fact_708_reds__preserves__hconf,axiom,
! [E_4,Tsa,Es_1,Ha,L_1,Es,H,L,Pa] :
( hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1))),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L))),reds(Pa)))
=> ( hBOOL(wTrts_1(Pa,Ha,E_4,Es_1,Tsa))
=> ( hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(Pa),Ha))
=> hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(Pa),H)) ) ) ) ).
fof(fact_709_BinOp2Reds,axiom,
! [V,Bop,Ea,S_1,E,S,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(hAPP_v834067052t_char(val_list_char,V),Bop,Ea)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(hAPP_v834067052t_char(val_list_char,V),Bop,E)),S)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_710_FAssReds2,axiom,
! [V,F,D,Ea,S_1,E,S,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(hAPP_v834067052t_char(val_list_char,V),F,D,Ea)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(hAPP_v834067052t_char(val_list_char,V),F,D,E)),S)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_711_SeqReds2,axiom,
! [E_2,E_2_1,S_2_1,E_1,S_0,V_1_2,S_1_2,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_1),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V_1_2)),S_1_2)),transi2024712006on_val(red(Pa))))
=> ( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),S_1_2)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2_1),S_2_1)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(E_1,E_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2_1),S_2_1)),transi2024712006on_val(red(Pa)))) ) ) ).
fof(fact_712_override__on__apply__in,axiom,
! [F_1,G,A_1,A_16] :
( hBOOL(member_list_char(A_1,A_16))
=> hAPP_l207779698on_val(overri2012515291on_val(F_1,G,A_16),A_1) = hAPP_l207779698on_val(G,A_1) ) ).
fof(fact_713_override__on__apply__notin,axiom,
! [F_1,G,A_1,A_16] :
( ~ hBOOL(member_list_char(A_1,A_16))
=> hAPP_l207779698on_val(overri2012515291on_val(F_1,G,A_16),A_1) = hAPP_l207779698on_val(F_1,A_1) ) ).
fof(fact_714_override__on__def,axiom,
! [F_1,G,A_16,X_1] :
( ( hBOOL(member_list_char(X_1,A_16))
=> hAPP_l207779698on_val(overri2012515291on_val(F_1,G,A_16),X_1) = hAPP_l207779698on_val(G,X_1) )
& ( ~ hBOOL(member_list_char(X_1,A_16))
=> hAPP_l207779698on_val(overri2012515291on_val(F_1,G,A_16),X_1) = hAPP_l207779698on_val(F_1,X_1) ) ) ).
fof(fact_715_WTrtSeq,axiom,
! [E_2,T_2_1,Pa,Ha,E_4,E_1,T_1_1] :
( hBOOL(wTrt(Pa,Ha,E_4,E_1,T_1_1))
=> ( hBOOL(wTrt(Pa,Ha,E_4,E_2,T_2_1))
=> hBOOL(wTrt(Pa,Ha,E_4,seq_list_char(E_1,E_2),T_2_1)) ) ) ).
fof(fact_716_Seq,axiom,
! [E_1,E_2,S_2_1,Pa,E_0,S_0,V,S_1_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_0,S_0),hAPP_v834067052t_char(val_list_char,V)),S_1_2))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_1_2),E_2),S_2_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,seq_list_char(E_0,E_1),S_0),E_2),S_2_1)) ) ) ).
fof(fact_717_Try,axiom,
! [C,V_1,E_2,Pa,E_1,S_0,V_1_2,S_1_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_0),hAPP_v834067052t_char(val_list_char,V_1_2)),S_1_2))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,tryCatch_list_char(E_1,C,V_1,E_2),S_0),hAPP_v834067052t_char(val_list_char,V_1_2)),S_1_2)) ) ).
fof(fact_718_red__reds_OSeqRed,axiom,
! [E_2,Ea,S_1,E,S,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S)),red(Pa)))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(Ea,E_2)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(E,E_2)),S)),red(Pa))) ) ).
fof(fact_719_red__reds_OFAssRed1,axiom,
! [F,D,E_2,Ea,S_1,E,S,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S)),red(Pa)))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(Ea,F,D,E_2)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(E,F,D,E_2)),S)),red(Pa))) ) ).
fof(fact_720_red__reds_OBinOpRed1,axiom,
! [Bop,E_2,Ea,S_1,E,S,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S)),red(Pa)))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(Ea,Bop,E_2)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(E,Bop,E_2)),S)),red(Pa))) ) ).
fof(fact_721_reds__hext__incr,axiom,
! [Es_1,Ha,L_1,Es,H,L,Pa] :
( hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1))),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L))),reds(Pa)))
=> hBOOL(hext(Ha,H)) ) ).
fof(fact_722_red__reds_OTryRed,axiom,
! [C,V_1,E_2,Ea,S_1,E,S,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S)),red(Pa)))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(Ea,C,V_1,E_2)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(E,C,V_1,E_2)),S)),red(Pa))) ) ).
fof(fact_723_o__def,axiom,
! [F_1,G,X_1] : hAPP_l968768258on_val(comp_l424027617har_ty(F_1,G),X_1) = hAPP_l1000746233on_val(F_1,hAPP_l608137480ar_val(G,X_1)) ).
fof(fact_724_o__def,axiom,
! [F_1,G,X_1] : hAPP_list_char_val(comp_o1129292306t_char(F_1,G),X_1) = hAPP_option_val_val(F_1,hAPP_l207779698on_val(G,X_1)) ).
fof(fact_725_o__apply,axiom,
! [F_1,G,X_2] : hAPP_l968768258on_val(comp_l424027617har_ty(F_1,G),X_2) = hAPP_l1000746233on_val(F_1,hAPP_l608137480ar_val(G,X_2)) ).
fof(fact_726_o__apply,axiom,
! [F_1,G,X_2] : hAPP_list_char_val(comp_o1129292306t_char(F_1,G),X_2) = hAPP_option_val_val(F_1,hAPP_l207779698on_val(G,X_2)) ).
fof(fact_727_red__reds_ORedSeq,axiom,
! [V,E_2,S_1,Pa] : hBOOL(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,V),E_2)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),S_1)),red(Pa))) ).
fof(fact_728_SeqReds,axiom,
! [E_2,Ea,S_1,E,S,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(Ea,E_2)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(E,E_2)),S)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_729_red__reds_OFAssRed2,axiom,
! [V,F,D,Ea,S_1,E,S,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S)),red(Pa)))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(hAPP_v834067052t_char(val_list_char,V),F,D,Ea)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(hAPP_v834067052t_char(val_list_char,V),F,D,E)),S)),red(Pa))) ) ).
fof(fact_730_red__reds_OBinOpRed2,axiom,
! [V_1_2,Bop,Ea,S_1,E,S,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S)),red(Pa)))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_2),Bop,Ea)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_2),Bop,E)),S)),red(Pa))) ) ).
fof(fact_731_FAssReds1,axiom,
! [F,D,E_2,Ea,S_1,E,S,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(Ea,F,D,E_2)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(E,F,D,E_2)),S)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_732_BinOp1Reds,axiom,
! [Bop,E_2,Ea,S_1,E,S,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(Ea,Bop,E_2)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(E,Bop,E_2)),S)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_733_red__reds_ORedTry,axiom,
! [V,C,V_1,E_2,S_1,Pa] : hBOOL(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,V),C,V_1,E_2)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V)),S_1)),red(Pa))) ).
fof(fact_734_TryReds,axiom,
! [C,V_1,E_2,Ea,S_1,E,S,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(Ea,C,V_1,E_2)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(E,C,V_1,E_2)),S)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_735_BinOpRedsVal,axiom,
! [Bop,V,E_2,V_2,S_2_1,E_1,S_0,V_1_2,S_1_2,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_1),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V_1_2)),S_1_2)),transi2024712006on_val(red(Pa))))
=> ( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),S_1_2)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V_2)),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))) = hAPP_val_option_val(some_val,V)
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(E_1,Bop,E_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V)),S_2_1)),transi2024712006on_val(red(Pa)))) ) ) ) ).
fof(fact_736_red__reds_ORedBinOp,axiom,
! [S_1,Pa,Bop,V_1_2,V_2,V] :
( 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))) = hAPP_val_option_val(some_val,V)
=> hBOOL(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))),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V)),S_1)),red(Pa))) ) ).
fof(fact_737_CallRedsParams,axiom,
! [V,M,Es_1,S_1,Es,S,Pa] :
( hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_1),S_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es),S)),transi374442731on_val(reds(Pa))))
=> hBOOL(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,V),M,Es_1)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(hAPP_v834067052t_char(val_list_char,V),M,Es)),S)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_738_ListRedsVal,axiom,
! [Es_1,Es,S_2_1,Ea,S_0,V,S_1_2,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V)),S_1_2)),transi2024712006on_val(red(Pa))))
=> ( hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_1),S_1_2)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es),S_2_1)),transi374442731on_val(reds(Pa))))
=> hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,hAPP_l2011456725t_char(cons_exp_list_char(Ea),Es_1)),S_0)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,hAPP_l2011456725t_char(cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V)),Es)),S_2_1)),transi374442731on_val(reds(Pa)))) ) ) ).
fof(fact_739_exp_Osimps_I114_J,axiom,
! [Exp1_49,Bop_13,Exp2_49,Exp1_48,List_14,A_15,Exp2_48] : binOp_list_char(Exp1_49,Bop_13,Exp2_49) != tryCatch_list_char(Exp1_48,List_14,A_15,Exp2_48) ).
fof(fact_740_exp_Osimps_I115_J,axiom,
! [Exp1_47,List_13,A_14,Exp2_47,Exp1_46,Bop_12,Exp2_46] : tryCatch_list_char(Exp1_47,List_13,A_14,Exp2_47) != binOp_list_char(Exp1_46,Bop_12,Exp2_46) ).
fof(fact_741_exp_Osimps_I182_J,axiom,
! [Exp1_45,List1_25,List2_25,Exp2_45,Exp1_44,List_12,A_13,Exp2_44] : fAss_list_char(Exp1_45,List1_25,List2_25,Exp2_45) != tryCatch_list_char(Exp1_44,List_12,A_13,Exp2_44) ).
fof(fact_742_exp_Osimps_I183_J,axiom,
! [Exp1_43,List_11,A_12,Exp2_43,Exp1_42,List1_24,List2_24,Exp2_42] : tryCatch_list_char(Exp1_43,List_11,A_12,Exp2_43) != fAss_list_char(Exp1_42,List1_24,List2_24,Exp2_42) ).
fof(fact_743_exp_Osimps_I212_J,axiom,
! [Exp1_41,Exp2_41,Exp1_40,List_10,A_11,Exp2_40] : seq_list_char(Exp1_41,Exp2_41) != tryCatch_list_char(Exp1_40,List_10,A_11,Exp2_40) ).
fof(fact_744_not__Cons__self,axiom,
! [Xs_6,X_6] : Xs_6 != hAPP_l273806049st_val(cons_val(X_6),Xs_6) ).
fof(fact_745_not__Cons__self,axiom,
! [Xs_6,X_6] : Xs_6 != hAPP_l407174677t_char(cons_list_char(X_6),Xs_6) ).
fof(fact_746_not__Cons__self,axiom,
! [Xs_6,X_6] : Xs_6 != hAPP_list_ty_list_ty(cons_ty(X_6),Xs_6) ).
fof(fact_747_not__Cons__self,axiom,
! [Xs_6,X_6] : Xs_6 != hAPP_l2011456725t_char(cons_exp_list_char(X_6),Xs_6) ).
fof(fact_748_not__Cons__self2,axiom,
! [X_5,Xs_5] : hAPP_l273806049st_val(cons_val(X_5),Xs_5) != Xs_5 ).
fof(fact_749_not__Cons__self2,axiom,
! [X_5,Xs_5] : hAPP_l407174677t_char(cons_list_char(X_5),Xs_5) != Xs_5 ).
fof(fact_750_not__Cons__self2,axiom,
! [X_5,Xs_5] : hAPP_list_ty_list_ty(cons_ty(X_5),Xs_5) != Xs_5 ).
fof(fact_751_not__Cons__self2,axiom,
! [X_5,Xs_5] : hAPP_l2011456725t_char(cons_exp_list_char(X_5),Xs_5) != Xs_5 ).
fof(fact_752_list_Oinject,axiom,
! [A_1,List_2,A_8,List_1] :
( hAPP_l273806049st_val(cons_val(A_1),List_2) = hAPP_l273806049st_val(cons_val(A_8),List_1)
<=> ( A_1 = A_8
& List_2 = List_1 ) ) ).
fof(fact_753_list_Oinject,axiom,
! [A_1,List_2,A_8,List_1] :
( hAPP_l407174677t_char(cons_list_char(A_1),List_2) = hAPP_l407174677t_char(cons_list_char(A_8),List_1)
<=> ( A_1 = A_8
& List_2 = List_1 ) ) ).
fof(fact_754_list_Oinject,axiom,
! [A_1,List_2,A_8,List_1] :
( hAPP_list_ty_list_ty(cons_ty(A_1),List_2) = hAPP_list_ty_list_ty(cons_ty(A_8),List_1)
<=> ( A_1 = A_8
& List_2 = List_1 ) ) ).
fof(fact_755_list_Oinject,axiom,
! [A_1,List_2,A_8,List_1] :
( hAPP_l2011456725t_char(cons_exp_list_char(A_1),List_2) = hAPP_l2011456725t_char(cons_exp_list_char(A_8),List_1)
<=> ( A_1 = A_8
& List_2 = List_1 ) ) ).
fof(fact_756_exp_Osimps_I9_J,axiom,
! [Exp_15,List1_11,List2_11,Exp_14,List1_10,List2_10] :
( call_list_char(Exp_15,List1_11,List2_11) = call_list_char(Exp_14,List1_10,List2_10)
<=> ( Exp_15 = Exp_14
& List1_11 = List1_10
& List2_11 = List2_10 ) ) ).
fof(fact_757_exp_Osimps_I81_J,axiom,
! [Exp_25,List1_23,List2_23,Val_13] : call_list_char(Exp_25,List1_23,List2_23) != hAPP_v834067052t_char(val_list_char,Val_13) ).
fof(fact_758_exp_Osimps_I80_J,axiom,
! [Val_12,Exp_24,List1_22,List2_22] : hAPP_v834067052t_char(val_list_char,Val_12) != call_list_char(Exp_24,List1_22,List2_22) ).
fof(fact_759_exp_Osimps_I186_J,axiom,
! [Exp_23,List1_21,List2_21,Exp1_39,Exp2_39] : call_list_char(Exp_23,List1_21,List2_21) != seq_list_char(Exp1_39,Exp2_39) ).
fof(fact_760_exp_Osimps_I187_J,axiom,
! [Exp1_38,Exp2_38,Exp_22,List1_20,List2_20] : seq_list_char(Exp1_38,Exp2_38) != call_list_char(Exp_22,List1_20,List2_20) ).
fof(fact_761_exp_Osimps_I170_J,axiom,
! [Exp1_37,List1_19,List2_19,Exp2_37,Exp_21,List1_18,List2_18] : fAss_list_char(Exp1_37,List1_19,List2_19,Exp2_37) != call_list_char(Exp_21,List1_18,List2_18) ).
fof(fact_762_exp_Osimps_I171_J,axiom,
! [Exp_20,List1_17,List2_17,Exp1_36,List1_16,List2_16,Exp2_36] : call_list_char(Exp_20,List1_17,List2_17) != fAss_list_char(Exp1_36,List1_16,List2_16,Exp2_36) ).
fof(fact_763_exp_Osimps_I102_J,axiom,
! [Exp1_35,Bop_11,Exp2_35,Exp_19,List1_15,List2_15] : binOp_list_char(Exp1_35,Bop_11,Exp2_35) != call_list_char(Exp_19,List1_15,List2_15) ).
fof(fact_764_exp_Osimps_I103_J,axiom,
! [Exp_18,List1_14,List2_14,Exp1_34,Bop_10,Exp2_34] : call_list_char(Exp_18,List1_14,List2_14) != binOp_list_char(Exp1_34,Bop_10,Exp2_34) ).
fof(fact_765_exp_Osimps_I195_J,axiom,
! [Exp1_33,List_9,A_10,Exp2_33,Exp_17,List1_13,List2_13] : tryCatch_list_char(Exp1_33,List_9,A_10,Exp2_33) != call_list_char(Exp_17,List1_13,List2_13) ).
fof(fact_766_exp_Osimps_I194_J,axiom,
! [Exp_16,List1_12,List2_12,Exp1_32,List_8,A_9,Exp2_32] : call_list_char(Exp_16,List1_12,List2_12) != tryCatch_list_char(Exp1_32,List_8,A_9,Exp2_32) ).
fof(fact_767_set__ConsD,axiom,
! [Y_1,X_2,Xs] :
( hBOOL(member_list_char(Y_1,set_list_char(hAPP_l407174677t_char(cons_list_char(X_2),Xs))))
=> ( Y_1 = X_2
| hBOOL(member_list_char(Y_1,set_list_char(Xs))) ) ) ).
fof(fact_768_set__ConsD,axiom,
! [Y_1,X_2,Xs] :
( hBOOL(member_nat(Y_1,set_nat(hAPP_l248265089st_nat(cons_nat(X_2),Xs))))
=> ( Y_1 = X_2
| hBOOL(member_nat(Y_1,set_nat(Xs))) ) ) ).
fof(fact_769_set__ConsD,axiom,
! [Y_1,X_2,Xs] :
( hBOOL(member1251428284t_char(Y_1,set_Pr550895038t_char(hAPP_l250787541t_char(cons_P2009561711t_char(X_2),Xs))))
=> ( Y_1 = X_2
| hBOOL(member1251428284t_char(Y_1,set_Pr550895038t_char(Xs))) ) ) ).
fof(fact_770_set__ConsD,axiom,
! [Y_1,X_2,Xs] :
( hBOOL(member875476972on_val(Y_1,set_Pr771975662on_val(hAPP_l1208602837on_val(cons_P1546421407on_val(X_2),Xs))))
=> ( Y_1 = X_2
| hBOOL(member875476972on_val(Y_1,set_Pr771975662on_val(Xs))) ) ) ).
fof(fact_771_set__ConsD,axiom,
! [Y_1,X_2,Xs] :
( hBOOL(member773094996on_val(Y_1,set_Pr1921835862on_val(hAPP_l1695428693on_val(cons_P511631239on_val(X_2),Xs))))
=> ( Y_1 = X_2
| hBOOL(member773094996on_val(Y_1,set_Pr1921835862on_val(Xs))) ) ) ).
fof(fact_772_set__ConsD,axiom,
! [Y_1,X_2,Xs] :
( hBOOL(member_val(Y_1,set_val(hAPP_l273806049st_val(cons_val(X_2),Xs))))
=> ( Y_1 = X_2
| hBOOL(member_val(Y_1,set_val(Xs))) ) ) ).
fof(fact_773_set__ConsD,axiom,
! [Y_1,X_2,Xs] :
( hBOOL(member_ty(Y_1,set_ty(hAPP_list_ty_list_ty(cons_ty(X_2),Xs))))
=> ( Y_1 = X_2
| hBOOL(member_ty(Y_1,set_ty(Xs))) ) ) ).
fof(fact_774_set__ConsD,axiom,
! [Y_1,X_2,Xs] :
( hBOOL(member_exp_list_char(Y_1,set_exp_list_char(hAPP_l2011456725t_char(cons_exp_list_char(X_2),Xs))))
=> ( Y_1 = X_2
| hBOOL(member_exp_list_char(Y_1,set_exp_list_char(Xs))) ) ) ).
fof(fact_775_map_Osimps_I2_J,axiom,
! [F_1,X_2,Xs] : hAPP_l608137480ar_val(map_Pr1153581243ar_val(F_1),hAPP_l1836003391har_ty(cons_P796333129har_ty(X_2),Xs)) = hAPP_l1462265297ar_val(cons_P2112347922ar_val(hAPP_P841862366ar_val(F_1,X_2)),hAPP_l608137480ar_val(map_Pr1153581243ar_val(F_1),Xs)) ).
fof(fact_776_map_Osimps_I2_J,axiom,
! [F_1,X_2,Xs] : hAPP_l1892737211st_val(map_list_char_val(F_1),hAPP_l407174677t_char(cons_list_char(X_2),Xs)) = hAPP_l273806049st_val(cons_val(hAPP_list_char_val(F_1,X_2)),hAPP_l1892737211st_val(map_list_char_val(F_1),Xs)) ).
fof(fact_777_map_Osimps_I2_J,axiom,
! [F_1,X_2,Xs] : hAPP_l732421366t_char(map_va1934808527t_char(F_1),hAPP_l273806049st_val(cons_val(X_2),Xs)) = hAPP_l2011456725t_char(cons_exp_list_char(hAPP_v834067052t_char(F_1,X_2)),hAPP_l732421366t_char(map_va1934808527t_char(F_1),Xs)) ).
fof(fact_778_map_Osimps_I2_J,axiom,
! [F_1,X_2,Xs] : hAPP_l1487035934ion_ty(map_ty_option_ty(F_1),hAPP_list_ty_list_ty(cons_ty(X_2),Xs)) = hAPP_l305548949ion_ty(cons_option_ty(hAPP_ty_option_ty(F_1,X_2)),hAPP_l1487035934ion_ty(map_ty_option_ty(F_1),Xs)) ).
fof(fact_779_map_Osimps_I2_J,axiom,
! [F_1,X_2,Xs] : hAPP_l2006940821ion_ty(map_val_option_ty(F_1),hAPP_l273806049st_val(cons_val(X_2),Xs)) = hAPP_l305548949ion_ty(cons_option_ty(hAPP_val_option_ty(F_1,X_2)),hAPP_l2006940821ion_ty(map_val_option_ty(F_1),Xs)) ).
fof(fact_780_list__all2__Cons,axiom,
! [Pa,X_2,Xs,Y_1,Ys] :
( hBOOL(hAPP_list_ty_bool(list_all2_val_ty(Pa,hAPP_l273806049st_val(cons_val(X_2),Xs)),hAPP_list_ty_list_ty(cons_ty(Y_1),Ys)))
<=> ( hBOOL(hAPP_ty_bool(hAPP_val_fun_ty_bool(Pa,X_2),Y_1))
& hBOOL(hAPP_list_ty_bool(list_all2_val_ty(Pa,Xs),Ys)) ) ) ).
fof(fact_781_list__all2__Cons,axiom,
! [Pa,X_2,Xs,Y_1,Ys] :
( hBOOL(hAPP_list_ty_bool(list_all2_ty_ty(Pa,hAPP_list_ty_list_ty(cons_ty(X_2),Xs)),hAPP_list_ty_list_ty(cons_ty(Y_1),Ys)))
<=> ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(Pa,X_2),Y_1))
& hBOOL(hAPP_list_ty_bool(list_all2_ty_ty(Pa,Xs),Ys)) ) ) ).
fof(fact_782_distinct_Osimps_I2_J,axiom,
! [X_2,Xs] :
( hBOOL(distinct_list_char(hAPP_l407174677t_char(cons_list_char(X_2),Xs)))
<=> ( ~ hBOOL(member_list_char(X_2,set_list_char(Xs)))
& hBOOL(distinct_list_char(Xs)) ) ) ).
fof(fact_783_distinct_Osimps_I2_J,axiom,
! [X_2,Xs] :
( hBOOL(distinct_nat(hAPP_l248265089st_nat(cons_nat(X_2),Xs)))
<=> ( ~ hBOOL(member_nat(X_2,set_nat(Xs)))
& hBOOL(distinct_nat(Xs)) ) ) ).
fof(fact_784_distinct_Osimps_I2_J,axiom,
! [X_2,Xs] :
( hBOOL(distin1973552748t_char(hAPP_l250787541t_char(cons_P2009561711t_char(X_2),Xs)))
<=> ( ~ hBOOL(member1251428284t_char(X_2,set_Pr550895038t_char(Xs)))
& hBOOL(distin1973552748t_char(Xs)) ) ) ).
fof(fact_785_distinct_Osimps_I2_J,axiom,
! [X_2,Xs] :
( hBOOL(distin1349260956on_val(hAPP_l1208602837on_val(cons_P1546421407on_val(X_2),Xs)))
<=> ( ~ hBOOL(member875476972on_val(X_2,set_Pr771975662on_val(Xs)))
& hBOOL(distin1349260956on_val(Xs)) ) ) ).
fof(fact_786_distinct_Osimps_I2_J,axiom,
! [X_2,Xs] :
( hBOOL(distin179070212on_val(hAPP_l1695428693on_val(cons_P511631239on_val(X_2),Xs)))
<=> ( ~ hBOOL(member773094996on_val(X_2,set_Pr1921835862on_val(Xs)))
& hBOOL(distin179070212on_val(Xs)) ) ) ).
fof(fact_787_distinct_Osimps_I2_J,axiom,
! [X_2,Xs] :
( hBOOL(distinct_val(hAPP_l273806049st_val(cons_val(X_2),Xs)))
<=> ( ~ hBOOL(member_val(X_2,set_val(Xs)))
& hBOOL(distinct_val(Xs)) ) ) ).
fof(fact_788_distinct_Osimps_I2_J,axiom,
! [X_2,Xs] :
( hBOOL(distinct_ty(hAPP_list_ty_list_ty(cons_ty(X_2),Xs)))
<=> ( ~ hBOOL(member_ty(X_2,set_ty(Xs)))
& hBOOL(distinct_ty(Xs)) ) ) ).
fof(fact_789_distinct_Osimps_I2_J,axiom,
! [X_2,Xs] :
( hBOOL(distin1416307044t_char(hAPP_l2011456725t_char(cons_exp_list_char(X_2),Xs)))
<=> ( ~ hBOOL(member_exp_list_char(X_2,set_exp_list_char(Xs)))
& hBOOL(distin1416307044t_char(Xs)) ) ) ).
fof(fact_790_red__reds_OCallObj,axiom,
! [M,Es_1,Ea,S_1,E,S,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S)),red(Pa)))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(Ea,M,Es_1)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(E,M,Es_1)),S)),red(Pa))) ) ).
fof(fact_791_exp_Osimps_I3_J,axiom,
! [Val_11,Val_10] :
( hAPP_v834067052t_char(val_list_char,Val_11) = hAPP_v834067052t_char(val_list_char,Val_10)
<=> Val_11 = Val_10 ) ).
fof(fact_792_exp_Osimps_I11_J,axiom,
! [Exp1_31,Exp2_31,Exp1_30,Exp2_30] :
( seq_list_char(Exp1_31,Exp2_31) = seq_list_char(Exp1_30,Exp2_30)
<=> ( Exp1_31 = Exp1_30
& Exp2_31 = Exp2_30 ) ) ).
fof(fact_793_exp_Osimps_I8_J,axiom,
! [Exp1_31,List1_11,List2_11,Exp2_31,Exp1_30,List1_10,List2_10,Exp2_30] :
( fAss_list_char(Exp1_31,List1_11,List2_11,Exp2_31) = fAss_list_char(Exp1_30,List1_10,List2_10,Exp2_30)
<=> ( Exp1_31 = Exp1_30
& List1_11 = List1_10
& List2_11 = List2_10
& Exp2_31 = Exp2_30 ) ) ).
fof(fact_794_exp_Osimps_I4_J,axiom,
! [Exp1_31,Bop,Exp2_31,Exp1_30,Bop_9,Exp2_30] :
( ( is_bop(Bop)
& is_bop(Bop_9) )
=> ( binOp_list_char(Exp1_31,Bop,Exp2_31) = binOp_list_char(Exp1_30,Bop_9,Exp2_30)
<=> ( Exp1_31 = Exp1_30
& Bop = Bop_9
& Exp2_31 = Exp2_30 ) ) ) ).
fof(fact_795_exp_Osimps_I15_J,axiom,
! [Exp1_31,List_2,A_1,Exp2_31,Exp1_30,List_1,A_8,Exp2_30] :
( tryCatch_list_char(Exp1_31,List_2,A_1,Exp2_31) = tryCatch_list_char(Exp1_30,List_1,A_8,Exp2_30)
<=> ( Exp1_31 = Exp1_30
& List_2 = List_1
& A_1 = A_8
& Exp2_31 = Exp2_30 ) ) ).
fof(fact_796_CallRedsObj,axiom,
! [M,Es_1,Ea,S_1,E,S,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(Ea,M,Es_1)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(E,M,Es_1)),S)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_797_ListReds2,axiom,
! [V,Es_1,S_1,Es,S,Pa] :
( hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_1),S_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es),S)),transi374442731on_val(reds(Pa))))
=> hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,hAPP_l2011456725t_char(cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V)),Es_1)),S_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,hAPP_l2011456725t_char(cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V)),Es)),S)),transi374442731on_val(reds(Pa)))) ) ).
fof(fact_798_red__reds_OListRed2,axiom,
! [V,Es_1,S_1,Es,S,Pa] :
( hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_1),S_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es),S)),reds(Pa)))
=> hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,hAPP_l2011456725t_char(cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V)),Es_1)),S_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,hAPP_l2011456725t_char(cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V)),Es)),S)),reds(Pa))) ) ).
fof(fact_799_red__reds_OListRed1,axiom,
! [Es_1,Ea,S_1,E,S,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S)),red(Pa)))
=> hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,hAPP_l2011456725t_char(cons_exp_list_char(Ea),Es_1)),S_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,hAPP_l2011456725t_char(cons_exp_list_char(E),Es_1)),S)),reds(Pa))) ) ).
fof(fact_800_BinOp,axiom,
! [Bop,V,E_2,V_2,S_2_1,Pa,E_1,S_0,V_1_2,S_1_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_0),hAPP_v834067052t_char(val_list_char,V_1_2)),S_1_2))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_2),hAPP_v834067052t_char(val_list_char,V_2)),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))) = hAPP_val_option_val(some_val,V)
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,binOp_list_char(E_1,Bop,E_2),S_0),hAPP_v834067052t_char(val_list_char,V)),S_2_1)) ) ) ) ).
fof(fact_801_exp_Osimps_I85_J,axiom,
! [Exp1_29,Exp2_29,Val_9] : seq_list_char(Exp1_29,Exp2_29) != hAPP_v834067052t_char(val_list_char,Val_9) ).
fof(fact_802_exp_Osimps_I84_J,axiom,
! [Val_8,Exp1_28,Exp2_28] : hAPP_v834067052t_char(val_list_char,Val_8) != seq_list_char(Exp1_28,Exp2_28) ).
fof(fact_803_exp_Osimps_I79_J,axiom,
! [Exp1_27,List1_9,List2_9,Exp2_27,Val_7] : fAss_list_char(Exp1_27,List1_9,List2_9,Exp2_27) != hAPP_v834067052t_char(val_list_char,Val_7) ).
fof(fact_804_exp_Osimps_I78_J,axiom,
! [Val_6,Exp1_26,List1_8,List2_8,Exp2_26] : hAPP_v834067052t_char(val_list_char,Val_6) != fAss_list_char(Exp1_26,List1_8,List2_8,Exp2_26) ).
fof(fact_805_exp_Osimps_I71_J,axiom,
! [Exp1_25,Bop_8,Exp2_25,Val_5] : binOp_list_char(Exp1_25,Bop_8,Exp2_25) != hAPP_v834067052t_char(val_list_char,Val_5) ).
fof(fact_806_exp_Osimps_I70_J,axiom,
! [Val_4,Exp1_24,Bop_7,Exp2_24] : hAPP_v834067052t_char(val_list_char,Val_4) != binOp_list_char(Exp1_24,Bop_7,Exp2_24) ).
fof(fact_807_exp_Osimps_I93_J,axiom,
! [Exp1_23,List_7,A_7,Exp2_23,Val_3] : tryCatch_list_char(Exp1_23,List_7,A_7,Exp2_23) != hAPP_v834067052t_char(val_list_char,Val_3) ).
fof(fact_808_exp_Osimps_I92_J,axiom,
! [Val_2,Exp1_22,List_6,A_6,Exp2_22] : hAPP_v834067052t_char(val_list_char,Val_2) != tryCatch_list_char(Exp1_22,List_6,A_6,Exp2_22) ).
fof(fact_809_red__reds_OCallParams,axiom,
! [V,M,Es_1,S_1,Es,S,Pa] :
( hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_1),S_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es),S)),reds(Pa)))
=> hBOOL(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,V),M,Es_1)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(hAPP_v834067052t_char(val_list_char,V),M,Es)),S)),red(Pa))) ) ).
fof(fact_810_ListReds1,axiom,
! [Es_1,Ea,S_1,E,S,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S)),transi2024712006on_val(red(Pa))))
=> hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,hAPP_l2011456725t_char(cons_exp_list_char(Ea),Es_1)),S_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,hAPP_l2011456725t_char(cons_exp_list_char(E),Es_1)),S)),transi374442731on_val(reds(Pa)))) ) ).
fof(fact_811_exp_Osimps_I174_J,axiom,
! [Exp1_21,List1_7,List2_7,Exp2_21,Exp1_20,Exp2_20] : fAss_list_char(Exp1_21,List1_7,List2_7,Exp2_21) != seq_list_char(Exp1_20,Exp2_20) ).
fof(fact_812_exp_Osimps_I175_J,axiom,
! [Exp1_19,Exp2_19,Exp1_18,List1_6,List2_6,Exp2_18] : seq_list_char(Exp1_19,Exp2_19) != fAss_list_char(Exp1_18,List1_6,List2_6,Exp2_18) ).
fof(fact_813_exp_Osimps_I106_J,axiom,
! [Exp1_17,Bop_6,Exp2_17,Exp1_16,Exp2_16] : binOp_list_char(Exp1_17,Bop_6,Exp2_17) != seq_list_char(Exp1_16,Exp2_16) ).
fof(fact_814_exp_Osimps_I107_J,axiom,
! [Exp1_15,Exp2_15,Exp1_14,Bop_5,Exp2_14] : seq_list_char(Exp1_15,Exp2_15) != binOp_list_char(Exp1_14,Bop_5,Exp2_14) ).
fof(fact_815_exp_Osimps_I101_J,axiom,
! [Exp1_13,List1_5,List2_5,Exp2_13,Exp1_12,Bop_4,Exp2_12] : fAss_list_char(Exp1_13,List1_5,List2_5,Exp2_13) != binOp_list_char(Exp1_12,Bop_4,Exp2_12) ).
fof(fact_816_exp_Osimps_I100_J,axiom,
! [Exp1_11,Bop_3,Exp2_11,Exp1_10,List1_4,List2_4,Exp2_10] : binOp_list_char(Exp1_11,Bop_3,Exp2_11) != fAss_list_char(Exp1_10,List1_4,List2_4,Exp2_10) ).
fof(fact_817_exp_Osimps_I213_J,axiom,
! [Exp1_9,List_5,A_5,Exp2_9,Exp1_8,Exp2_8] : tryCatch_list_char(Exp1_9,List_5,A_5,Exp2_9) != seq_list_char(Exp1_8,Exp2_8) ).
fof(fact_818_list__all2__Cons2,axiom,
! [Pa,Xs,Y_1,Ys] :
( hBOOL(hAPP_list_ty_bool(list_all2_val_ty(Pa,Xs),hAPP_list_ty_list_ty(cons_ty(Y_1),Ys)))
<=> ? [Z,Zs_4] :
( Xs = hAPP_l273806049st_val(cons_val(Z),Zs_4)
& hBOOL(hAPP_ty_bool(hAPP_val_fun_ty_bool(Pa,Z),Y_1))
& hBOOL(hAPP_list_ty_bool(list_all2_val_ty(Pa,Zs_4),Ys)) ) ) ).
fof(fact_819_list__all2__Cons2,axiom,
! [Pa,Xs,Y_1,Ys] :
( hBOOL(hAPP_list_ty_bool(list_all2_ty_ty(Pa,Xs),hAPP_list_ty_list_ty(cons_ty(Y_1),Ys)))
<=> ? [Z,Zs_4] :
( Xs = hAPP_list_ty_list_ty(cons_ty(Z),Zs_4)
& hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(Pa,Z),Y_1))
& hBOOL(hAPP_list_ty_bool(list_all2_ty_ty(Pa,Zs_4),Ys)) ) ) ).
fof(fact_820_list__all2__Cons1,axiom,
! [Pa,X_2,Xs,Ys] :
( hBOOL(hAPP_list_ty_bool(list_all2_val_ty(Pa,hAPP_l273806049st_val(cons_val(X_2),Xs)),Ys))
<=> ? [Z,Zs_4] :
( Ys = hAPP_list_ty_list_ty(cons_ty(Z),Zs_4)
& hBOOL(hAPP_ty_bool(hAPP_val_fun_ty_bool(Pa,X_2),Z))
& hBOOL(hAPP_list_ty_bool(list_all2_val_ty(Pa,Xs),Zs_4)) ) ) ).
fof(fact_821_list__all2__Cons1,axiom,
! [Pa,X_2,Xs,Ys] :
( hBOOL(hAPP_list_ty_bool(list_all2_ty_ty(Pa,hAPP_list_ty_list_ty(cons_ty(X_2),Xs)),Ys))
<=> ? [Z,Zs_4] :
( Ys = hAPP_list_ty_list_ty(cons_ty(Z),Zs_4)
& hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(Pa,X_2),Z))
& hBOOL(hAPP_list_ty_bool(list_all2_ty_ty(Pa,Xs),Zs_4)) ) ) ).
fof(fact_822_Cons__eq__map__conv,axiom,
! [X_2,Xs,F_1,Ys] :
( hAPP_l1462265297ar_val(cons_P2112347922ar_val(X_2),Xs) = hAPP_l608137480ar_val(map_Pr1153581243ar_val(F_1),Ys)
<=> ? [Z,Zs_4] :
( Ys = hAPP_l1836003391har_ty(cons_P796333129har_ty(Z),Zs_4)
& X_2 = hAPP_P841862366ar_val(F_1,Z)
& Xs = hAPP_l608137480ar_val(map_Pr1153581243ar_val(F_1),Zs_4) ) ) ).
fof(fact_823_Cons__eq__map__conv,axiom,
! [X_2,Xs,F_1,Ys] :
( hAPP_l273806049st_val(cons_val(X_2),Xs) = hAPP_l1892737211st_val(map_list_char_val(F_1),Ys)
<=> ? [Z,Zs_4] :
( Ys = hAPP_l407174677t_char(cons_list_char(Z),Zs_4)
& X_2 = hAPP_list_char_val(F_1,Z)
& Xs = hAPP_l1892737211st_val(map_list_char_val(F_1),Zs_4) ) ) ).
fof(fact_824_Cons__eq__map__conv,axiom,
! [X_2,Xs,F_1,Ys] :
( hAPP_l2011456725t_char(cons_exp_list_char(X_2),Xs) = hAPP_l732421366t_char(map_va1934808527t_char(F_1),Ys)
<=> ? [Z,Zs_4] :
( Ys = hAPP_l273806049st_val(cons_val(Z),Zs_4)
& X_2 = hAPP_v834067052t_char(F_1,Z)
& Xs = hAPP_l732421366t_char(map_va1934808527t_char(F_1),Zs_4) ) ) ).
fof(fact_825_Cons__eq__map__conv,axiom,
! [X_2,Xs,F_1,Ys] :
( hAPP_l305548949ion_ty(cons_option_ty(X_2),Xs) = hAPP_l1487035934ion_ty(map_ty_option_ty(F_1),Ys)
<=> ? [Z,Zs_4] :
( Ys = hAPP_list_ty_list_ty(cons_ty(Z),Zs_4)
& X_2 = hAPP_ty_option_ty(F_1,Z)
& Xs = hAPP_l1487035934ion_ty(map_ty_option_ty(F_1),Zs_4) ) ) ).
fof(fact_826_Cons__eq__map__conv,axiom,
! [X_2,Xs,F_1,Ys] :
( hAPP_l305548949ion_ty(cons_option_ty(X_2),Xs) = hAPP_l2006940821ion_ty(map_val_option_ty(F_1),Ys)
<=> ? [Z,Zs_4] :
( Ys = hAPP_l273806049st_val(cons_val(Z),Zs_4)
& X_2 = hAPP_val_option_ty(F_1,Z)
& Xs = hAPP_l2006940821ion_ty(map_val_option_ty(F_1),Zs_4) ) ) ).
fof(fact_827_map__eq__Cons__conv,axiom,
! [F_1,Xs,Y_1,Ys] :
( hAPP_l608137480ar_val(map_Pr1153581243ar_val(F_1),Xs) = hAPP_l1462265297ar_val(cons_P2112347922ar_val(Y_1),Ys)
<=> ? [Z,Zs_4] :
( Xs = hAPP_l1836003391har_ty(cons_P796333129har_ty(Z),Zs_4)
& hAPP_P841862366ar_val(F_1,Z) = Y_1
& hAPP_l608137480ar_val(map_Pr1153581243ar_val(F_1),Zs_4) = Ys ) ) ).
fof(fact_828_map__eq__Cons__conv,axiom,
! [F_1,Xs,Y_1,Ys] :
( hAPP_l1892737211st_val(map_list_char_val(F_1),Xs) = hAPP_l273806049st_val(cons_val(Y_1),Ys)
<=> ? [Z,Zs_4] :
( Xs = hAPP_l407174677t_char(cons_list_char(Z),Zs_4)
& hAPP_list_char_val(F_1,Z) = Y_1
& hAPP_l1892737211st_val(map_list_char_val(F_1),Zs_4) = Ys ) ) ).
fof(fact_829_map__eq__Cons__conv,axiom,
! [F_1,Xs,Y_1,Ys] :
( hAPP_l732421366t_char(map_va1934808527t_char(F_1),Xs) = hAPP_l2011456725t_char(cons_exp_list_char(Y_1),Ys)
<=> ? [Z,Zs_4] :
( Xs = hAPP_l273806049st_val(cons_val(Z),Zs_4)
& hAPP_v834067052t_char(F_1,Z) = Y_1
& hAPP_l732421366t_char(map_va1934808527t_char(F_1),Zs_4) = Ys ) ) ).
fof(fact_830_map__eq__Cons__conv,axiom,
! [F_1,Xs,Y_1,Ys] :
( hAPP_l1487035934ion_ty(map_ty_option_ty(F_1),Xs) = hAPP_l305548949ion_ty(cons_option_ty(Y_1),Ys)
<=> ? [Z,Zs_4] :
( Xs = hAPP_list_ty_list_ty(cons_ty(Z),Zs_4)
& hAPP_ty_option_ty(F_1,Z) = Y_1
& hAPP_l1487035934ion_ty(map_ty_option_ty(F_1),Zs_4) = Ys ) ) ).
fof(fact_831_map__eq__Cons__conv,axiom,
! [F_1,Xs,Y_1,Ys] :
( hAPP_l2006940821ion_ty(map_val_option_ty(F_1),Xs) = hAPP_l305548949ion_ty(cons_option_ty(Y_1),Ys)
<=> ? [Z,Zs_4] :
( Xs = hAPP_l273806049st_val(cons_val(Z),Zs_4)
& hAPP_val_option_ty(F_1,Z) = Y_1
& hAPP_l2006940821ion_ty(map_val_option_ty(F_1),Zs_4) = Ys ) ) ).
fof(fact_832_Cons__in__lex,axiom,
! [X_2,Xs,Y_1,Ys,R_1] :
( hBOOL(member817832404t_char(hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,hAPP_l407174677t_char(cons_list_char(X_2),Xs)),hAPP_l407174677t_char(cons_list_char(Y_1),Ys)),lex_list_char(R_1)))
<=> ( ( hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,X_2),Y_1),R_1))
& hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_l66428094ar_nat(size_s2113983095t_char,Ys) )
| ( X_2 = Y_1
& hBOOL(member817832404t_char(hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,Xs),Ys),lex_list_char(R_1))) ) ) ) ).
fof(fact_833_Cons__in__lex,axiom,
! [X_2,Xs,Y_1,Ys,R_1] :
( hBOOL(member295766740on_val(hAPP_l1701465547on_val(hAPP_l1588290397on_val(produc493060183on_val,hAPP_l254081045on_val(cons_P1190705016on_val(X_2),Xs)),hAPP_l254081045on_val(cons_P1190705016on_val(Y_1),Ys)),lex_Pr830868420on_val(R_1)))
<=> ( ( hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,X_2),Y_1),R_1))
& hAPP_l1766199206al_nat(size_s470606735on_val,Xs) = hAPP_l1766199206al_nat(size_s470606735on_val,Ys) )
| ( X_2 = Y_1
& hBOOL(member295766740on_val(hAPP_l1701465547on_val(hAPP_l1588290397on_val(produc493060183on_val,Xs),Ys),lex_Pr830868420on_val(R_1))) ) ) ) ).
fof(fact_834_Cons__in__lex,axiom,
! [X_2,Xs,Y_1,Ys,R_1] :
( hBOOL(member1942985176on_val(hAPP_l1485560508on_val(hAPP_l1324137613on_val(produc584381409on_val,hAPP_l76241055on_val(cons_P1917484281on_val(X_2),Xs)),hAPP_l76241055on_val(cons_P1917484281on_val(Y_1),Ys)),lex_Pr979517357on_val(R_1)))
<=> ( ( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X_2),Y_1),R_1))
& hAPP_l1746926841al_nat(size_s60479160on_val,Xs) = hAPP_l1746926841al_nat(size_s60479160on_val,Ys) )
| ( X_2 = Y_1
& hBOOL(member1942985176on_val(hAPP_l1485560508on_val(hAPP_l1324137613on_val(produc584381409on_val,Xs),Ys),lex_Pr979517357on_val(R_1))) ) ) ) ).
fof(fact_835_Cons__in__lex,axiom,
! [X_2,Xs,Y_1,Ys,R_1] :
( ( is_char(X_2)
& is_char(Y_1) )
=> ( hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,hAPP_l1074208899t_char(cons_char(X_2),Xs)),hAPP_l1074208899t_char(cons_char(Y_1),Ys)),lex_char(R_1)))
<=> ( ( hBOOL(member1725532372r_char(hAPP_c802977373r_char(hAPP_c1242523777r_char(produc601902295r_char,X_2),Y_1),R_1))
& hAPP_list_char_nat(size_size_list_char,Xs) = hAPP_list_char_nat(size_size_list_char,Ys) )
| ( X_2 = Y_1
& hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Xs),Ys),lex_char(R_1))) ) ) ) ) ).
fof(fact_836_Cons__in__lex,axiom,
! [X_2,Xs,Y_1,Ys,R_1] :
( hBOOL(member273646106st_val(hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,hAPP_l273806049st_val(cons_val(X_2),Xs)),hAPP_l273806049st_val(cons_val(Y_1),Ys)),lex_val(R_1)))
<=> ( ( hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,X_2),Y_1),R_1))
& hAPP_list_val_nat(size_size_list_val,Xs) = hAPP_list_val_nat(size_size_list_val,Ys) )
| ( X_2 = Y_1
& hBOOL(member273646106st_val(hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,Xs),Ys),lex_val(R_1))) ) ) ) ).
fof(fact_837_Cons__in__lex,axiom,
! [X_2,Xs,Y_1,Ys,R_1] :
( hBOOL(member104734088ist_ty(hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,hAPP_list_ty_list_ty(cons_ty(X_2),Xs)),hAPP_list_ty_list_ty(cons_ty(Y_1),Ys)),lex_ty(R_1)))
<=> ( ( hBOOL(member1736614484_ty_ty(hAPP_t65172803_ty_ty(hAPP_t1494094285_ty_ty(product_Pair_ty_ty,X_2),Y_1),R_1))
& hAPP_list_ty_nat(size_size_list_ty,Xs) = hAPP_list_ty_nat(size_size_list_ty,Ys) )
| ( X_2 = Y_1
& hBOOL(member104734088ist_ty(hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,Xs),Ys),lex_ty(R_1))) ) ) ) ).
fof(fact_838_Cons__in__lex,axiom,
! [X_2,Xs,Y_1,Ys,R_1] :
( hBOOL(member894971540t_char(hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,hAPP_l2011456725t_char(cons_exp_list_char(X_2),Xs)),hAPP_l2011456725t_char(cons_exp_list_char(Y_1),Ys)),lex_exp_list_char(R_1)))
<=> ( ( hBOOL(member1199939018t_char(hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,X_2),Y_1),R_1))
& hAPP_l452123639ar_nat(size_s1143674878t_char,Xs) = hAPP_l452123639ar_nat(size_s1143674878t_char,Ys) )
| ( X_2 = Y_1
& hBOOL(member894971540t_char(hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,Xs),Ys),lex_exp_list_char(R_1))) ) ) ) ).
fof(fact_839_not__finals__ConsI,axiom,
! [Es_4,E_8] :
( ~ hBOOL(final_list_char(E_8))
=> ~ hBOOL(finals_list_char(hAPP_l2011456725t_char(cons_exp_list_char(E_8),Es_4))) ) ).
fof(fact_840_redp__redsp_ORedBinOp,axiom,
! [Pa,S_1,Bop,V_1_2,V_2,V] :
( 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))) = hAPP_val_option_val(some_val,V)
=> 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)),S_1),hAPP_v834067052t_char(val_list_char,V)),S_1)) ) ).
fof(fact_841_CallRedsThrowParams,axiom,
! [M,Es_1,Vs_1_1,A_1,Es_2_1,S_2_1,Ea,S0,V,S_1_2,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V)),S_1_2)),transi2024712006on_val(red(Pa))))
=> ( hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_1),S_1_2)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,append_exp_list_char(hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vs_1_1),hAPP_l2011456725t_char(cons_exp_list_char(throw_list_char(A_1)),Es_2_1))),S_2_1)),transi374442731on_val(reds(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(Ea,M,Es_1)),S0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A_1)),S_2_1)),transi2024712006on_val(red(Pa)))) ) ) ).
fof(fact_842_BinOpRedsThrow2,axiom,
! [Bop,E_2,Ea,S_2_1,E_1,S_0,V_1_2,S_1_2,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_1),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V_1_2)),S_1_2)),transi2024712006on_val(red(Pa))))
=> ( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),S_1_2)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Ea)),S_2_1)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(E_1,Bop,E_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Ea)),S_2_1)),transi2024712006on_val(red(Pa)))) ) ) ).
fof(fact_843_WTrtCons,axiom,
! [Es_1,Tsa,Pa,Ha,E_4,Ea,Ta] :
( hBOOL(wTrt(Pa,Ha,E_4,Ea,Ta))
=> ( hBOOL(wTrts_1(Pa,Ha,E_4,Es_1,Tsa))
=> hBOOL(wTrts_1(Pa,Ha,E_4,hAPP_l2011456725t_char(cons_exp_list_char(Ea),Es_1),hAPP_list_ty_list_ty(cons_ty(Ta),Tsa))) ) ) ).
fof(fact_844_redp__redsp_OFAssThrow1,axiom,
! [Pa,Ea,F,D,E_2,S_1] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(throw_list_char(Ea),F,D,E_2),S_1),throw_list_char(Ea)),S_1)) ).
fof(fact_845_redp__redsp_OBinOpThrow1,axiom,
! [Pa,Ea,Bop,E_2,S_1] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,binOp_list_char(throw_list_char(Ea),Bop,E_2),S_1),throw_list_char(Ea)),S_1)) ).
fof(fact_846_redp__redsp_OSeqThrow,axiom,
! [Pa,Ea,E_2,S_1] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,seq_list_char(throw_list_char(Ea),E_2),S_1),throw_list_char(Ea)),S_1)) ).
fof(fact_847_exp_Osimps_I14_J,axiom,
! [Exp_15,Exp_14] :
( throw_list_char(Exp_15) = throw_list_char(Exp_14)
<=> Exp_15 = Exp_14 ) ).
fof(fact_848_redp__redsp_OCallThrowObj,axiom,
! [Pa,Ea,M,Es_1,S_1] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,call_list_char(throw_list_char(Ea),M,Es_1),S_1),throw_list_char(Ea)),S_1)) ).
fof(fact_849_redp__redsp_OThrowRed,axiom,
! [Pa,Ea,S_1,E,S] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S_1),E),S))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,throw_list_char(Ea),S_1),throw_list_char(E)),S)) ) ).
fof(fact_850_redp__redsp_OThrowThrow,axiom,
! [Pa,Ea,S_1] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,throw_list_char(throw_list_char(Ea)),S_1),throw_list_char(Ea)),S_1)) ).
fof(fact_851_append__eq__appendI,axiom,
! [Ys_4,Us_2,Xs_4,Xs1_1,Zs_3] :
( append_exp_list_char(Xs_4,Xs1_1) = Zs_3
=> ( Ys_4 = append_exp_list_char(Xs1_1,Us_2)
=> append_exp_list_char(Xs_4,Ys_4) = append_exp_list_char(Zs_3,Us_2) ) ) ).
fof(fact_852_append__same__eq,axiom,
! [Ys,Xs,Zs] :
( append_exp_list_char(Ys,Xs) = append_exp_list_char(Zs,Xs)
<=> Ys = Zs ) ).
fof(fact_853_same__append__eq,axiom,
! [Xs,Ys,Zs] :
( append_exp_list_char(Xs,Ys) = append_exp_list_char(Xs,Zs)
<=> Ys = Zs ) ).
fof(fact_854_append__eq__append__conv2,axiom,
! [Xs,Ys,Zs,Ts_3] :
( append_exp_list_char(Xs,Ys) = append_exp_list_char(Zs,Ts_3)
<=> ? [Us_1] :
( ( Xs = append_exp_list_char(Zs,Us_1)
& append_exp_list_char(Us_1,Ys) = Ts_3 )
| ( append_exp_list_char(Xs,Us_1) = Zs
& Ys = append_exp_list_char(Us_1,Ts_3) ) ) ) ).
fof(fact_855_append__assoc,axiom,
! [Xs_3,Ys_3,Zs_2] : append_exp_list_char(append_exp_list_char(Xs_3,Ys_3),Zs_2) = append_exp_list_char(Xs_3,append_exp_list_char(Ys_3,Zs_2)) ).
fof(fact_856_redp__redsp_OFAssThrow2,axiom,
! [Pa,V,F,D,Ea,S_1] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(hAPP_v834067052t_char(val_list_char,V),F,D,throw_list_char(Ea)),S_1),throw_list_char(Ea)),S_1)) ).
fof(fact_857_redp__redsp_OBinOpThrow2,axiom,
! [Pa,V_1_2,Bop,Ea,S_1] : 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(Ea)),S_1),throw_list_char(Ea)),S_1)) ).
fof(fact_858_Cons__eq__appendI,axiom,
! [Xs_2,Zs_1,X_4,Xs1,Ys_2] :
( hAPP_l2011456725t_char(cons_exp_list_char(X_4),Xs1) = Ys_2
=> ( Xs_2 = append_exp_list_char(Xs1,Zs_1)
=> hAPP_l2011456725t_char(cons_exp_list_char(X_4),Xs_2) = append_exp_list_char(Ys_2,Zs_1) ) ) ).
fof(fact_859_Cons__eq__appendI,axiom,
! [Xs_2,Zs_1,X_4,Xs1,Ys_2] :
( hAPP_l273806049st_val(cons_val(X_4),Xs1) = Ys_2
=> ( Xs_2 = append_val(Xs1,Zs_1)
=> hAPP_l273806049st_val(cons_val(X_4),Xs_2) = append_val(Ys_2,Zs_1) ) ) ).
fof(fact_860_Cons__eq__appendI,axiom,
! [Xs_2,Zs_1,X_4,Xs1,Ys_2] :
( hAPP_l407174677t_char(cons_list_char(X_4),Xs1) = Ys_2
=> ( Xs_2 = append_list_char(Xs1,Zs_1)
=> hAPP_l407174677t_char(cons_list_char(X_4),Xs_2) = append_list_char(Ys_2,Zs_1) ) ) ).
fof(fact_861_Cons__eq__appendI,axiom,
! [Xs_2,Zs_1,X_4,Xs1,Ys_2] :
( hAPP_list_ty_list_ty(cons_ty(X_4),Xs1) = Ys_2
=> ( Xs_2 = append_ty(Xs1,Zs_1)
=> hAPP_list_ty_list_ty(cons_ty(X_4),Xs_2) = append_ty(Ys_2,Zs_1) ) ) ).
fof(fact_862_append__Cons,axiom,
! [X_3,Xs_1,Ys_1] : append_exp_list_char(hAPP_l2011456725t_char(cons_exp_list_char(X_3),Xs_1),Ys_1) = hAPP_l2011456725t_char(cons_exp_list_char(X_3),append_exp_list_char(Xs_1,Ys_1)) ).
fof(fact_863_append__Cons,axiom,
! [X_3,Xs_1,Ys_1] : append_val(hAPP_l273806049st_val(cons_val(X_3),Xs_1),Ys_1) = hAPP_l273806049st_val(cons_val(X_3),append_val(Xs_1,Ys_1)) ).
fof(fact_864_append__Cons,axiom,
! [X_3,Xs_1,Ys_1] : append_list_char(hAPP_l407174677t_char(cons_list_char(X_3),Xs_1),Ys_1) = hAPP_l407174677t_char(cons_list_char(X_3),append_list_char(Xs_1,Ys_1)) ).
fof(fact_865_append__Cons,axiom,
! [X_3,Xs_1,Ys_1] : append_ty(hAPP_list_ty_list_ty(cons_ty(X_3),Xs_1),Ys_1) = hAPP_list_ty_list_ty(cons_ty(X_3),append_ty(Xs_1,Ys_1)) ).
fof(fact_866_map__append,axiom,
! [F_1,Xs,Ys] : hAPP_l608137480ar_val(map_Pr1153581243ar_val(F_1),append590652462har_ty(Xs,Ys)) = append1049742455ar_val(hAPP_l608137480ar_val(map_Pr1153581243ar_val(F_1),Xs),hAPP_l608137480ar_val(map_Pr1153581243ar_val(F_1),Ys)) ).
fof(fact_867_map__append,axiom,
! [F_1,Xs,Ys] : hAPP_l1892737211st_val(map_list_char_val(F_1),append_list_char(Xs,Ys)) = append_val(hAPP_l1892737211st_val(map_list_char_val(F_1),Xs),hAPP_l1892737211st_val(map_list_char_val(F_1),Ys)) ).
fof(fact_868_map__append,axiom,
! [F_1,Xs,Ys] : hAPP_l732421366t_char(map_va1934808527t_char(F_1),append_val(Xs,Ys)) = append_exp_list_char(hAPP_l732421366t_char(map_va1934808527t_char(F_1),Xs),hAPP_l732421366t_char(map_va1934808527t_char(F_1),Ys)) ).
fof(fact_869_map__append,axiom,
! [F_1,Xs,Ys] : hAPP_l1487035934ion_ty(map_ty_option_ty(F_1),append_ty(Xs,Ys)) = append_option_ty(hAPP_l1487035934ion_ty(map_ty_option_ty(F_1),Xs),hAPP_l1487035934ion_ty(map_ty_option_ty(F_1),Ys)) ).
fof(fact_870_map__append,axiom,
! [F_1,Xs,Ys] : hAPP_l2006940821ion_ty(map_val_option_ty(F_1),append_val(Xs,Ys)) = append_option_ty(hAPP_l2006940821ion_ty(map_val_option_ty(F_1),Xs),hAPP_l2006940821ion_ty(map_val_option_ty(F_1),Ys)) ).
fof(fact_871_eval__evals_OThrowThrow,axiom,
! [Pa,Ea,S_0,E,S_1_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),throw_list_char(E)),S_1_2))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,throw_list_char(Ea),S_0),throw_list_char(E)),S_1_2)) ) ).
fof(fact_872_list__all2__appendI,axiom,
! [C_2,D_1,Pa,A_1,B] :
( hBOOL(hAPP_list_ty_bool(list_all2_val_ty(Pa,A_1),B))
=> ( hBOOL(hAPP_list_ty_bool(list_all2_val_ty(Pa,C_2),D_1))
=> hBOOL(hAPP_list_ty_bool(list_all2_val_ty(Pa,append_val(A_1,C_2)),append_ty(B,D_1))) ) ) ).
fof(fact_873_list__all2__appendI,axiom,
! [C_2,D_1,Pa,A_1,B] :
( hBOOL(hAPP_list_ty_bool(list_all2_ty_ty(Pa,A_1),B))
=> ( hBOOL(hAPP_list_ty_bool(list_all2_ty_ty(Pa,C_2),D_1))
=> hBOOL(hAPP_list_ty_bool(list_all2_ty_ty(Pa,append_ty(A_1,C_2)),append_ty(B,D_1))) ) ) ).
fof(fact_874_redp__redsp_OSeqRed,axiom,
! [E_2,Pa,Ea,S_1,E,S] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S_1),E),S))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,seq_list_char(Ea,E_2),S_1),seq_list_char(E,E_2)),S)) ) ).
fof(fact_875_redp__redsp_OFAssRed1,axiom,
! [F,D,E_2,Pa,Ea,S_1,E,S] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S_1),E),S))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(Ea,F,D,E_2),S_1),fAss_list_char(E,F,D,E_2)),S)) ) ).
fof(fact_876_redp__redsp_OCallObj,axiom,
! [M,Es_1,Pa,Ea,S_1,E,S] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S_1),E),S))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,call_list_char(Ea,M,Es_1),S_1),call_list_char(E,M,Es_1)),S)) ) ).
fof(fact_877_redp__redsp_OBinOpRed1,axiom,
! [Bop,E_2,Pa,Ea,S_1,E,S] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S_1),E),S))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,binOp_list_char(Ea,Bop,E_2),S_1),binOp_list_char(E,Bop,E_2)),S)) ) ).
fof(fact_878_redp__redsp_OTryRed,axiom,
! [C,V_1,E_2,Pa,Ea,S_1,E,S] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S_1),E),S))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,tryCatch_list_char(Ea,C,V_1,E_2),S_1),tryCatch_list_char(E,C,V_1,E_2)),S)) ) ).
fof(fact_879_redp__redsp_OCallThrowParams,axiom,
! [Pa,V,M,S_1,Es_1,Vsa,Ea,Es] :
( Es_1 = append_exp_list_char(hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vsa),hAPP_l2011456725t_char(cons_exp_list_char(throw_list_char(Ea)),Es))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,call_list_char(hAPP_v834067052t_char(val_list_char,V),M,Es_1),S_1),throw_list_char(Ea)),S_1)) ) ).
fof(fact_880_exp_Osimps_I90_J,axiom,
! [Val_1,Exp_13] : hAPP_v834067052t_char(val_list_char,Val_1) != throw_list_char(Exp_13) ).
fof(fact_881_exp_Osimps_I91_J,axiom,
! [Exp_12,Val] : throw_list_char(Exp_12) != hAPP_v834067052t_char(val_list_char,Val) ).
fof(fact_882_exp_Osimps_I211_J,axiom,
! [Exp_11,Exp1_7,Exp2_7] : throw_list_char(Exp_11) != seq_list_char(Exp1_7,Exp2_7) ).
fof(fact_883_exp_Osimps_I210_J,axiom,
! [Exp1_6,Exp2_6,Exp_10] : seq_list_char(Exp1_6,Exp2_6) != throw_list_char(Exp_10) ).
fof(fact_884_exp_Osimps_I181_J,axiom,
! [Exp_9,Exp1_5,List1_3,List2_3,Exp2_5] : throw_list_char(Exp_9) != fAss_list_char(Exp1_5,List1_3,List2_3,Exp2_5) ).
fof(fact_885_exp_Osimps_I180_J,axiom,
! [Exp1_4,List1_2,List2_2,Exp2_4,Exp_8] : fAss_list_char(Exp1_4,List1_2,List2_2,Exp2_4) != throw_list_char(Exp_8) ).
fof(fact_886_exp_Osimps_I193_J,axiom,
! [Exp_7,Exp_6,List1_1,List2_1] : throw_list_char(Exp_7) != call_list_char(Exp_6,List1_1,List2_1) ).
fof(fact_887_exp_Osimps_I192_J,axiom,
! [Exp_5,List1,List2,Exp_4] : call_list_char(Exp_5,List1,List2) != throw_list_char(Exp_4) ).
fof(fact_888_exp_Osimps_I113_J,axiom,
! [Exp_3,Exp1_3,Bop_2,Exp2_3] : throw_list_char(Exp_3) != binOp_list_char(Exp1_3,Bop_2,Exp2_3) ).
fof(fact_889_exp_Osimps_I112_J,axiom,
! [Exp1_2,Bop_1,Exp2_2,Exp_2] : binOp_list_char(Exp1_2,Bop_1,Exp2_2) != throw_list_char(Exp_2) ).
fof(fact_890_exp_Osimps_I224_J,axiom,
! [Exp_1,Exp1_1,List_4,A_4,Exp2_1] : throw_list_char(Exp_1) != tryCatch_list_char(Exp1_1,List_4,A_4,Exp2_1) ).
fof(fact_891_exp_Osimps_I225_J,axiom,
! [Exp1,List_3,A_3,Exp2,Exp] : tryCatch_list_char(Exp1,List_3,A_3,Exp2) != throw_list_char(Exp) ).
fof(fact_892_finals__app__map,axiom,
! [Vsa,Es_1] :
( hBOOL(finals_list_char(append_exp_list_char(hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vsa),Es_1)))
<=> hBOOL(finals_list_char(Es_1)) ) ).
fof(fact_893_list__all2__append,axiom,
! [Pa,Us,Vsa,Xs,Ys] :
( hAPP_list_val_nat(size_size_list_val,Xs) = hAPP_list_ty_nat(size_size_list_ty,Ys)
=> ( hBOOL(hAPP_list_ty_bool(list_all2_val_ty(Pa,append_val(Xs,Us)),append_ty(Ys,Vsa)))
<=> ( hBOOL(hAPP_list_ty_bool(list_all2_val_ty(Pa,Xs),Ys))
& hBOOL(hAPP_list_ty_bool(list_all2_val_ty(Pa,Us),Vsa)) ) ) ) ).
fof(fact_894_list__all2__append,axiom,
! [Pa,Us,Vsa,Xs,Ys] :
( hAPP_list_ty_nat(size_size_list_ty,Xs) = hAPP_list_ty_nat(size_size_list_ty,Ys)
=> ( hBOOL(hAPP_list_ty_bool(list_all2_ty_ty(Pa,append_ty(Xs,Us)),append_ty(Ys,Vsa)))
<=> ( hBOOL(hAPP_list_ty_bool(list_all2_ty_ty(Pa,Xs),Ys))
& hBOOL(hAPP_list_ty_bool(list_all2_ty_ty(Pa,Us),Vsa)) ) ) ) ).
fof(fact_895_redp__redsp_ORedSeq,axiom,
! [Pa,V,E_2,S_1] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,seq_list_char(hAPP_v834067052t_char(val_list_char,V),E_2),S_1),E_2),S_1)) ).
fof(fact_896_redp__redsp_OFAssRed2,axiom,
! [V,F,D,Pa,Ea,S_1,E,S] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S_1),E),S))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(hAPP_v834067052t_char(val_list_char,V),F,D,Ea),S_1),fAss_list_char(hAPP_v834067052t_char(val_list_char,V),F,D,E)),S)) ) ).
fof(fact_897_redp__redsp_OBinOpRed2,axiom,
! [V_1_2,Bop,Pa,Ea,S_1,E,S] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S_1),E),S))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_2),Bop,Ea),S_1),binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_2),Bop,E)),S)) ) ).
fof(fact_898_fun__upds__append__drop,axiom,
! [M_1,Zs,Xs,Ys] :
( hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_list_val_nat(size_size_list_val,Ys)
=> map_up1085636310ar_val(M_1,append_list_char(Xs,Zs),Ys) = map_up1085636310ar_val(M_1,Xs,Ys) ) ).
fof(fact_899_fun__upds__append__drop,axiom,
! [M_1,Zs,Xs,Ys] :
( hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_list_ty_nat(size_size_list_ty,Ys)
=> map_up891053837har_ty(M_1,append_list_char(Xs,Zs),Ys) = map_up891053837har_ty(M_1,Xs,Ys) ) ).
fof(fact_900_fun__upds__append2__drop,axiom,
! [M_1,Zs,Xs,Ys] :
( hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_list_val_nat(size_size_list_val,Ys)
=> map_up1085636310ar_val(M_1,Xs,append_val(Ys,Zs)) = map_up1085636310ar_val(M_1,Xs,Ys) ) ).
fof(fact_901_fun__upds__append2__drop,axiom,
! [M_1,Zs,Xs,Ys] :
( hAPP_l66428094ar_nat(size_s2113983095t_char,Xs) = hAPP_list_ty_nat(size_size_list_ty,Ys)
=> map_up891053837har_ty(M_1,Xs,append_ty(Ys,Zs)) = map_up891053837har_ty(M_1,Xs,Ys) ) ).
fof(fact_902_redp__redsp_ORedTry,axiom,
! [Pa,V,C,V_1,E_2,S_1] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,tryCatch_list_char(hAPP_v834067052t_char(val_list_char,V),C,V_1,E_2),S_1),hAPP_v834067052t_char(val_list_char,V)),S_1)) ).
fof(fact_903_eval__evals_OSeqThrow,axiom,
! [E_1,Pa,E_0,S_0,Ea,S_1_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_0,S_0),throw_list_char(Ea)),S_1_2))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,seq_list_char(E_0,E_1),S_0),throw_list_char(Ea)),S_1_2)) ) ).
fof(fact_904_eval__evals_OFAssThrow1,axiom,
! [F,D,E_2,Pa,E_1,S_0,E,S_1_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_0),throw_list_char(E)),S_1_2))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAss_list_char(E_1,F,D,E_2),S_0),throw_list_char(E)),S_1_2)) ) ).
fof(fact_905_CallObjThrow,axiom,
! [M,Ps,Pa,Ea,S_0,E,S_1_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),throw_list_char(E)),S_1_2))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,call_list_char(Ea,M,Ps),S_0),throw_list_char(E)),S_1_2)) ) ).
fof(fact_906_eval__evals_OBinOpThrow1,axiom,
! [Bop,E_2,Pa,E_1,S_0,Ea,S_1_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_0),throw_list_char(Ea)),S_1_2))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,binOp_list_char(E_1,Bop,E_2),S_0),throw_list_char(Ea)),S_1_2)) ) ).
fof(fact_907_red__reds_OThrowRed,axiom,
! [Ea,S_1,E,S,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S)),red(Pa)))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Ea)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(E)),S)),red(Pa))) ) ).
fof(fact_908_red__reds_OThrowThrow,axiom,
! [Ea,S_1,Pa] : hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(throw_list_char(Ea))),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Ea)),S_1)),red(Pa))) ).
fof(fact_909_eval__evals_OFAssThrow2,axiom,
! [F,D,E_2,E,S_2_1,Pa,E_1,S_0,V,S_1_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_0),hAPP_v834067052t_char(val_list_char,V)),S_1_2))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_2),throw_list_char(E)),S_2_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAss_list_char(E_1,F,D,E_2),S_0),throw_list_char(E)),S_2_1)) ) ) ).
fof(fact_910_eval__evals_OBinOpThrow2,axiom,
! [Bop,E_2,Ea,S_2_1,Pa,E_1,S_0,V_1_2,S_1_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_0),hAPP_v834067052t_char(val_list_char,V_1_2)),S_1_2))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_2),throw_list_char(Ea)),S_2_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,binOp_list_char(E_1,Bop,E_2),S_0),throw_list_char(Ea)),S_2_1)) ) ) ).
fof(fact_911_red__reds_OCallThrowParams,axiom,
! [V,M,S_1,Pa,Es_1,Vsa,Ea,Es] :
( Es_1 = append_exp_list_char(hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vsa),hAPP_l2011456725t_char(cons_exp_list_char(throw_list_char(Ea)),Es))
=> hBOOL(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,V),M,Es_1)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Ea)),S_1)),red(Pa))) ) ).
fof(fact_912_ThrowRedsThrow,axiom,
! [Ea,S_1,A_1,S,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A_1)),S)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Ea)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A_1)),S)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_913_ThrowReds,axiom,
! [Ea,S_1,E,S,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Ea)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(E)),S)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_914_red__reds_OSeqThrow,axiom,
! [Ea,E_2,S_1,Pa] : hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(throw_list_char(Ea),E_2)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Ea)),S_1)),red(Pa))) ).
fof(fact_915_red__reds_OFAssThrow1,axiom,
! [Ea,F,D,E_2,S_1,Pa] : hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(throw_list_char(Ea),F,D,E_2)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Ea)),S_1)),red(Pa))) ).
fof(fact_916_red__reds_OCallThrowObj,axiom,
! [Ea,M,Es_1,S_1,Pa] : hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(throw_list_char(Ea),M,Es_1)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Ea)),S_1)),red(Pa))) ).
fof(fact_917_red__reds_OBinOpThrow1,axiom,
! [Ea,Bop,E_2,S_1,Pa] : hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(throw_list_char(Ea),Bop,E_2)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Ea)),S_1)),red(Pa))) ).
fof(fact_918_red__reds_OFAssThrow2,axiom,
! [V,F,D,Ea,S_1,Pa] : hBOOL(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,V),F,D,throw_list_char(Ea))),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Ea)),S_1)),red(Pa))) ).
fof(fact_919_red__reds_OBinOpThrow2,axiom,
! [V_1_2,Bop,Ea,S_1,Pa] : hBOOL(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(Ea))),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Ea)),S_1)),red(Pa))) ).
fof(fact_920_SeqRedsThrow,axiom,
! [E_2,Ea,S_1,E,S,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(E)),S)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(Ea,E_2)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(E)),S)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_921_FAssRedsThrow1,axiom,
! [F,D,E_2,Ea,S_1,E,S,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(E)),S)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(Ea,F,D,E_2)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(E)),S)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_922_CallRedsThrowObj,axiom,
! [M,Es_1,Ea,S0,A_1,S_1_2,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A_1)),S_1_2)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(Ea,M,Es_1)),S0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A_1)),S_1_2)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_923_BinOpRedsThrow1,axiom,
! [Bop,E_2,Ea,S_1,E,S,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(E)),S)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(Ea,Bop,E_2)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(E)),S)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_924_FAssRedsThrow2,axiom,
! [F,D,E_2,Ea,S_2_1,E_1,S_0,V,S_1_2,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_1),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V)),S_1_2)),transi2024712006on_val(red(Pa))))
=> ( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),S_1_2)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Ea)),S_2_1)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(E_1,F,D,E_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Ea)),S_2_1)),transi2024712006on_val(red(Pa)))) ) ) ).
fof(fact_925_eval__cases_I3_J,axiom,
! [Pa,E_1,Bop,E_2,S_1,E,S] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,binOp_list_char(E_1,Bop,E_2),S_1),E),S))
=> ( ! [V_1_1,S_1_1,V_2_2,V_4] :
( E = hAPP_v834067052t_char(val_list_char,V_4)
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_1),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_2)),S))
=> 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_2))) != hAPP_val_option_val(some_val,V_4) ) ) )
=> ( ! [E_7] :
( E = throw_list_char(E_7)
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_1),throw_list_char(E_7)),S)) )
=> ~ ! [V_1_1,S_1_1,E_7] :
( E = throw_list_char(E_7)
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_1),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_7)),S)) ) ) ) ) ) ).
fof(fact_926_CallParamsThrow,axiom,
! [M,Es_1,Vsa,Ex,Es,S_2_1,Pa,Ea,S_0,V,S_1_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,V)),S_1_2))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Es_1,S_1_2),append_exp_list_char(hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vsa),hAPP_l2011456725t_char(cons_exp_list_char(throw_list_char(Ex)),Es))),S_2_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,call_list_char(Ea,M,Es_1),S_0),throw_list_char(Ex)),S_2_1)) ) ) ).
fof(fact_927_evals__final,axiom,
! [Pa,Es_1,S_1,Es,S] :
( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Es_1,S_1),Es),S))
=> hBOOL(finals_list_char(Es)) ) ).
fof(fact_928_eval__finalsId,axiom,
! [Pa,S_1,Es_1] :
( hBOOL(finals_list_char(Es_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Es_1,S_1),Es_1),S_1)) ) ).
fof(fact_929_evals__hext,axiom,
! [Pa,Es_1,Ha,L_1,Es,H,L] :
( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Es_1,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1)),Es),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L)))
=> hBOOL(hext(Ha,H)) ) ).
fof(fact_930_eval__evals_OCons,axiom,
! [Es_1,Es,S_2_1,Pa,Ea,S_0,V,S_1_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,V)),S_1_2))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Es_1,S_1_2),Es),S_2_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,hAPP_l2011456725t_char(cons_exp_list_char(Ea),Es_1),S_0),hAPP_l2011456725t_char(cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V)),Es)),S_2_1)) ) ) ).
fof(fact_931_ConsThrow,axiom,
! [Es_1,Pa,Ea,S_0,E,S_1_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),throw_list_char(E)),S_1_2))
=> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,hAPP_l2011456725t_char(cons_exp_list_char(Ea),Es_1),S_0),hAPP_l2011456725t_char(cons_exp_list_char(throw_list_char(E)),Es_1)),S_1_2)) ) ).
fof(fact_932_list__eval__Throw,axiom,
! [Vsa,Es,Pa,X_2,S_1,E,S] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,throw_list_char(X_2),S_1),E),S))
=> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,append_exp_list_char(hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vsa),hAPP_l2011456725t_char(cons_exp_list_char(throw_list_char(X_2)),Es)),S_1),append_exp_list_char(hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vsa),hAPP_l2011456725t_char(cons_exp_list_char(E),Es))),S)) ) ).
fof(fact_933_evals__cases_I2_J,axiom,
! [Pa,Ea,Es_1,S_1,E,S] :
( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,hAPP_l2011456725t_char(cons_exp_list_char(Ea),Es_1),S_1),E),S))
=> ( ! [V_4,S_1_1,Es_3] :
( E = hAPP_l2011456725t_char(cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V_4)),Es_3)
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),hAPP_v834067052t_char(val_list_char,V_4)),S_1_1))
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Es_1,S_1_1),Es_3),S)) ) )
=> ~ ! [E_3] :
( E = hAPP_l2011456725t_char(cons_exp_list_char(throw_list_char(E_3)),Es_1)
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),throw_list_char(E_3)),S)) ) ) ) ).
fof(fact_934_eval__cases_I9_J,axiom,
! [Pa,E_1,E_2,S_1,E,S] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,seq_list_char(E_1,E_2),S_1),E),S))
=> ( ! [V_4,S_1_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_1),hAPP_v834067052t_char(val_list_char,V_4)),S_1_1))
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_1),E),S)) )
=> ~ ! [E_7] :
( E = throw_list_char(E_7)
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_1),throw_list_char(E_7)),S)) ) ) ) ).
fof(fact_935_redp__redsp_OCallParams,axiom,
! [V,M,Pa,Es_1,S_1,Es,S] :
( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(redsp(Pa,Es_1,S_1),Es),S))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,call_list_char(hAPP_v834067052t_char(val_list_char,V),M,Es_1),S_1),call_list_char(hAPP_v834067052t_char(val_list_char,V),M,Es)),S)) ) ).
fof(fact_936_WTrtThrow,axiom,
! [Ta,Pa,Ha,E_4,Ea,T_r] :
( hBOOL(wTrt(Pa,Ha,E_4,Ea,T_r))
=> ( hBOOL(is_refT(T_r))
=> hBOOL(wTrt(Pa,Ha,E_4,throw_list_char(Ea),Ta)) ) ) ).
fof(fact_937_redp__redsp_OListRed2,axiom,
! [V,Pa,Es_1,S_1,Es,S] :
( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(redsp(Pa,Es_1,S_1),Es),S))
=> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(redsp(Pa,hAPP_l2011456725t_char(cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V)),Es_1),S_1),hAPP_l2011456725t_char(cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V)),Es)),S)) ) ).
fof(fact_938_redp__redsp_OListRed1,axiom,
! [Es_1,Pa,Ea,S_1,E,S] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S_1),E),S))
=> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(redsp(Pa,hAPP_l2011456725t_char(cons_exp_list_char(Ea),Es_1),S_1),hAPP_l2011456725t_char(cons_exp_list_char(E),Es_1)),S)) ) ).
fof(fact_939_WTrt__elim__cases_I4_J,axiom,
! [Pa,Ha,E_4,Ea,Ta] :
( hBOOL(wTrt(Pa,Ha,E_4,throw_list_char(Ea),Ta))
=> ~ ! [T_r_1] :
( hBOOL(wTrt(Pa,Ha,E_4,Ea,T_r_1))
=> ~ hBOOL(is_refT(T_r_1)) ) ) ).
fof(fact_940_WhileRedsThrow,axiom,
! [C_2,B,S_1,Ea,S,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Ea)),S)),transi2024712006on_val(red(Pa))))
=> hBOOL(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_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Ea)),S)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_941_FAccRedsThrow,axiom,
! [F,D,Ea,S_1,A_1,S,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A_1)),S)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(Ea,F,D)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A_1)),S)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_942_CastRedsThrow,axiom,
! [C,Ea,S_1,A_1,S,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A_1)),S)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,Ea)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A_1)),S)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_943_redp__redsp_OCastRed,axiom,
! [C,Pa,Ea,S_1,E,S] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S_1),E),S))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cast_list_char(C,Ea),S_1),cast_list_char(C,E)),S)) ) ).
fof(fact_944_redp__redsp_OFAccRed,axiom,
! [F,D,Pa,Ea,S_1,E,S] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S_1),E),S))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAcc_list_char(Ea,F,D),S_1),fAcc_list_char(E,F,D)),S)) ) ).
fof(fact_945_eval__evals_OCastThrow,axiom,
! [C,Pa,Ea,S_0,E,S_1_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),throw_list_char(E)),S_1_2))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cast_list_char(C,Ea),S_0),throw_list_char(E)),S_1_2)) ) ).
fof(fact_946_eval__evals_OFAccThrow,axiom,
! [F,D,Pa,Ea,S_0,E,S_1_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),throw_list_char(E)),S_1_2))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAcc_list_char(Ea,F,D),S_0),throw_list_char(E)),S_1_2)) ) ).
fof(fact_947_WhileCondThrow,axiom,
! [C_2,Pa,Ea,S_0,E,S_1_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),throw_list_char(E)),S_1_2))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(Ea,C_2),S_0),throw_list_char(E)),S_1_2)) ) ).
fof(fact_948_redp__redsp_OCastThrow,axiom,
! [Pa,C,Ea,S_1] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cast_list_char(C,throw_list_char(Ea)),S_1),throw_list_char(Ea)),S_1)) ).
fof(fact_949_redp__redsp_OFAccThrow,axiom,
! [Pa,Ea,F,D,S_1] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAcc_list_char(throw_list_char(Ea),F,D),S_1),throw_list_char(Ea)),S_1)) ).
fof(fact_950_red__reds_OCastRed,axiom,
! [C,Ea,S_1,E,S,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S)),red(Pa)))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,Ea)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,E)),S)),red(Pa))) ) ).
fof(fact_951_red__reds_OFAccRed,axiom,
! [F,D,Ea,S_1,E,S,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S)),red(Pa)))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(Ea,F,D)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(E,F,D)),S)),red(Pa))) ) ).
fof(fact_952_red__reds_OCastThrow,axiom,
! [C,Ea,S_1,Pa] : hBOOL(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(Ea))),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Ea)),S_1)),red(Pa))) ).
fof(fact_953_CastReds,axiom,
! [C,Ea,S_1,E,S,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,Ea)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,E)),S)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_954_red__reds_OFAccThrow,axiom,
! [Ea,F,D,S_1,Pa] : hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(throw_list_char(Ea),F,D)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Ea)),S_1)),red(Pa))) ).
fof(fact_955_FAccReds,axiom,
! [F,D,Ea,S_1,E,S,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(Ea,F,D)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(E,F,D)),S)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_956_WhileTRedsThrow,axiom,
! [C_2,Ea,S_2_1,B,S_0,S_1_2,Pa] :
( hBOOL(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_2)),transi2024712006on_val(red(Pa))))
=> ( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,C_2),S_1_2)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Ea)),S_2_1)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,while_list_char(B,C_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Ea)),S_2_1)),transi2024712006on_val(red(Pa)))) ) ) ).
fof(fact_957_WhileT,axiom,
! [E_3_1,S_3_1,C_2,V_1_2,S_2_1,Pa,Ea,S_0,S_1_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1_2))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,C_2,S_1_2),hAPP_v834067052t_char(val_list_char,V_1_2)),S_2_1))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(Ea,C_2),S_2_1),E_3_1),S_3_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(Ea,C_2),S_0),E_3_1),S_3_1)) ) ) ) ).
fof(fact_958_WhileBodyThrow,axiom,
! [C_2,E,S_2_1,Pa,Ea,S_0,S_1_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1_2))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,C_2,S_1_2),throw_list_char(E)),S_2_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(Ea,C_2),S_0),throw_list_char(E)),S_2_1)) ) ) ).
fof(fact_959_WhileTReds,axiom,
! [Ea,S_3_1,C_2,V_1_2,S_2_1,B,S_0,S_1_2,Pa] :
( hBOOL(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_2)),transi2024712006on_val(red(Pa))))
=> ( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,C_2),S_1_2)),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(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,Ea),S_3_1)),transi2024712006on_val(red(Pa))))
=> hBOOL(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,Ea),S_3_1)),transi2024712006on_val(red(Pa)))) ) ) ) ).
fof(fact_960_binop_Osimps_I1_J,axiom,
! [V_1_2,V_2] : 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))) = hAPP_val_option_val(some_val,bool(hAPP_val_bool(hAPP_v1392248405l_bool(fequal_val,V_1_2),V_2))) ).
fof(fact_961_WhileFReds,axiom,
! [C_2,B,S_1,S,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,bool(fFalse))),S)),transi2024712006on_val(red(Pa))))
=> hBOOL(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_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,unit)),S)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_962_CastRedsNull,axiom,
! [C,Ea,S_1,S,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),S)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,Ea)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),S)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_963_FAcc,axiom,
! [F,D,V,C,Fs_1,Pa,Ea,S_0,A_1,Ha,L_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,addr(A_1))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1)))
=> ( hAPP_n546249108on_val(Ha,A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_1))
=> ( hAPP_P2094403585on_val(Fs_1,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,F),D)) = hAPP_val_option_val(some_val,V)
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAcc_list_char(Ea,F,D),S_0),hAPP_v834067052t_char(val_list_char,V)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1))) ) ) ) ).
fof(fact_964_CondReds2T,axiom,
! [E_2,E_1,E,S_2_1,Ea,S_0,S_1_2,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1_2)),transi2024712006on_val(red(Pa))))
=> ( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_1),S_1_2)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S_2_1)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(Ea,E_1,E_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S_2_1)),transi2024712006on_val(red(Pa)))) ) ) ).
fof(fact_965_redp__redsp_OCondRed,axiom,
! [E_1,E_2,Pa,Ea,S_1,E,S] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S_1),E),S))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cond_list_char(Ea,E_1,E_2),S_1),cond_list_char(E,E_1,E_2)),S)) ) ).
fof(fact_966_eval__evals_OCondThrow,axiom,
! [E_1,E_2,Pa,Ea,S_0,E,S_1_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),throw_list_char(E)),S_1_2))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cond_list_char(Ea,E_1,E_2),S_0),throw_list_char(E)),S_1_2)) ) ).
fof(fact_967_redp__redsp_OCondThrow,axiom,
! [Pa,Ea,E_1,E_2,S_1] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cond_list_char(throw_list_char(Ea),E_1,E_2),S_1),throw_list_char(Ea)),S_1)) ).
fof(fact_968_unfold__while,axiom,
! [Pa,B,C_2,S_1,E,S] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(B,C_2),S_1),E),S))
<=> 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_1),E),S)) ) ).
fof(fact_969_redp__redsp_ORedWhile,axiom,
! [Pa,B,C_2,S_1] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,while_list_char(B,C_2),S_1),cond_list_char(B,seq_list_char(C_2,while_list_char(B,C_2)),hAPP_v834067052t_char(val_list_char,unit))),S_1)) ).
fof(fact_970_Throw,axiom,
! [Pa,Ea,S_0,A_1,S_1_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,addr(A_1))),S_1_2))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,throw_list_char(Ea),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1)))),S_1_2)) ) ).
fof(fact_971_red__reds_OCondRed,axiom,
! [E_1,E_2,Ea,S_1,E,S,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S)),red(Pa)))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(Ea,E_1,E_2)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(E,E_1,E_2)),S)),red(Pa))) ) ).
fof(fact_972_CondT,axiom,
! [E_2,E_1,E,S_2_1,Pa,Ea,S_0,S_1_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1_2))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_1_2),E),S_2_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cond_list_char(Ea,E_1,E_2),S_0),E),S_2_1)) ) ) ).
fof(fact_973_CondF,axiom,
! [E_1,E_2,E,S_2_1,Pa,Ea,S_0,S_1_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,bool(fFalse))),S_1_2))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_2),E),S_2_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cond_list_char(Ea,E_1,E_2),S_0),E),S_2_1)) ) ) ).
fof(fact_974_redp__redsp_ORedCondT,axiom,
! [Pa,E_1,E_2,S_1] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cond_list_char(hAPP_v834067052t_char(val_list_char,bool(fTrue)),E_1,E_2),S_1),E_1),S_1)) ).
fof(fact_975_redp__redsp_ORedCondF,axiom,
! [Pa,E_1,E_2,S_1] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cond_list_char(hAPP_v834067052t_char(val_list_char,bool(fFalse)),E_1,E_2),S_1),E_2),S_1)) ).
fof(fact_976_red__reds_ORedWhile,axiom,
! [B,C_2,S_1,Pa] : hBOOL(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_1)),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_1)),red(Pa))) ).
fof(fact_977_CastNull,axiom,
! [C,Pa,Ea,S_0,S_1_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,null)),S_1_2))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cast_list_char(C,Ea),S_0),hAPP_v834067052t_char(val_list_char,null)),S_1_2)) ) ).
fof(fact_978_redp__redsp_ORedCastNull,axiom,
! [Pa,C,S_1] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cast_list_char(C,hAPP_v834067052t_char(val_list_char,null)),S_1),hAPP_v834067052t_char(val_list_char,null)),S_1)) ).
fof(fact_979_red__reds_OCondThrow,axiom,
! [Ea,E_1,E_2,S_1,Pa] : hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(throw_list_char(Ea),E_1,E_2)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Ea)),S_1)),red(Pa))) ).
fof(fact_980_CondReds,axiom,
! [E_1,E_2,Ea,S_1,E,S,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(Ea,E_1,E_2)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(E,E_1,E_2)),S)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_981_CondRedsThrow,axiom,
! [E_1,E_2,Ea,S_1,A_1,S,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A_1)),S)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(Ea,E_1,E_2)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A_1)),S)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_982_red__reds_ORedCondF,axiom,
! [E_1,E_2,S_1,Pa] : hBOOL(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,E_2)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),S_1)),red(Pa))) ).
fof(fact_983_red__reds_ORedCondT,axiom,
! [E_1,E_2,S_1,Pa] : hBOOL(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,E_2)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_1),S_1)),red(Pa))) ).
fof(fact_984_WhileF,axiom,
! [C_2,Pa,Ea,S_0,S_1_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,bool(fFalse))),S_1_2))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(Ea,C_2),S_0),hAPP_v834067052t_char(val_list_char,unit)),S_1_2)) ) ).
fof(fact_985_red__reds_ORedCastNull,axiom,
! [C,S_1,Pa] : hBOOL(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_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),S_1)),red(Pa))) ).
fof(fact_986_CondReds2F,axiom,
! [E_1,E_2,E,S_2_1,Ea,S_0,S_1_2,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,bool(fFalse))),S_1_2)),transi2024712006on_val(red(Pa))))
=> ( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),S_1_2)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S_2_1)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(Ea,E_1,E_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S_2_1)),transi2024712006on_val(red(Pa)))) ) ) ).
fof(fact_987_FAccRedsVal,axiom,
! [F,D,V,C,Fs_1,Ea,S_1,A_1,S,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(A_1))),S)),transi2024712006on_val(red(Pa))))
=> ( hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S),A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_1))
=> ( hAPP_P2094403585on_val(Fs_1,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,F),D)) = hAPP_val_option_val(some_val,V)
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(Ea,F,D)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V)),S)),transi2024712006on_val(red(Pa)))) ) ) ) ).
fof(fact_988_red__reds_ORedFAcc,axiom,
! [Pa,F,D,V,S_1,A_1,C,Fs_1] :
( hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S_1),A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_1))
=> ( hAPP_P2094403585on_val(Fs_1,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,F),D)) = hAPP_val_option_val(some_val,V)
=> hBOOL(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_1)),F,D)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V)),S_1)),red(Pa))) ) ) ).
fof(fact_989_TryRedsFail,axiom,
! [V_1,E_2,C,D,Fs_1,E_1,S_1,A_1,Ha,L_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_1),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1)))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1))),transi2024712006on_val(red(Pa))))
=> ( hAPP_n546249108on_val(Ha,A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs_1))
=> ( ~ hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,D),C),transi1395422419t_char(subcls851966956t_char(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(E_1,C,V_1,E_2)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1)))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1))),transi2024712006on_val(red(Pa)))) ) ) ) ).
fof(fact_990_redp__redsp_ORedFAcc,axiom,
! [Pa,F,D,V,S_1,A_1,C,Fs_1] :
( hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S_1),A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_1))
=> ( hAPP_P2094403585on_val(Fs_1,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,F),D)) = hAPP_val_option_val(some_val,V)
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAcc_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1)),F,D),S_1),hAPP_v834067052t_char(val_list_char,V)),S_1)) ) ) ).
fof(fact_991_red__reds_ORedCast,axiom,
! [C,Pa,S_1,A_1,D,Fs_1] :
( hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S_1),A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs_1))
=> ( hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,D),C),transi1395422419t_char(subcls851966956t_char(Pa))))
=> hBOOL(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_1)))),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(A_1))),S_1)),red(Pa))) ) ) ).
fof(fact_992_red__reds_ORedTryFail,axiom,
! [V_1,E_2,C,Pa,S_1,A_1,D,Fs_1] :
( hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S_1),A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs_1))
=> ( ~ hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,D),C),transi1395422419t_char(subcls851966956t_char(Pa))))
=> hBOOL(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_1))),C,V_1,E_2)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1)))),S_1)),red(Pa))) ) ) ).
fof(fact_993_CastRedsAddr,axiom,
! [C,D,Fs_1,Ea,S_1,A_1,S,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(A_1))),S)),transi2024712006on_val(red(Pa))))
=> ( hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S),A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs_1))
=> ( hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,D),C),transi1395422419t_char(subcls851966956t_char(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,Ea)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(A_1))),S)),transi2024712006on_val(red(Pa)))) ) ) ) ).
fof(fact_994_Cast,axiom,
! [C,D,Fs_1,Pa,Ea,S_0,A_1,Ha,L_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,addr(A_1))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1)))
=> ( hAPP_n546249108on_val(Ha,A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs_1))
=> ( hBOOL(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,Ea),S_0),hAPP_v834067052t_char(val_list_char,addr(A_1))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1))) ) ) ) ).
fof(fact_995_TryThrow,axiom,
! [V_1,E_2,C,D,Fs_1,Pa,E_1,S_0,A_1,H_1,L_1_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1)))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1),L_1_1)))
=> ( hAPP_n546249108on_val(H_1,A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs_1))
=> ( ~ hBOOL(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,C,V_1,E_2),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1)))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1),L_1_1))) ) ) ) ).
fof(fact_996_TryCatchRedsFinal,axiom,
! [E_2,V_1,E_2_1,H_2,L_2,C,D,Fs_1,E_1,S_0,A_1,H_1,L_1_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_1),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1)))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1),L_1_1))),transi2024712006on_val(red(Pa))))
=> ( hAPP_n546249108on_val(H_1,A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs_1))
=> ( hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,D),C),transi1395422419t_char(subcls851966956t_char(Pa))))
=> ( hBOOL(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,V_1,hAPP_val_option_val(some_val,addr(A_1)))))),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(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(E_1,C,V_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,V_1,hAPP_l207779698on_val(L_1_1,V_1))))),transi2024712006on_val(red(Pa)))) ) ) ) ) ) ).
fof(fact_997_reds__preserves__sconf,axiom,
! [E_4,Tsa,Es_1,S_1,Es,S,Pa] :
( hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_1),S_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es),S)),reds(Pa)))
=> ( hBOOL(wTrts_1(Pa,hAPP_P703866694on_val(hp,S_1),E_4,Es_1,Tsa))
=> ( hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(Pa,E_4),S_1))
=> hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(Pa,E_4),S)) ) ) ) ).
fof(fact_998_red__preserves__sconf,axiom,
! [E_4,Ta,Ea,S_1,E,S,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S)),red(Pa)))
=> ( hBOOL(wTrt(Pa,hAPP_P703866694on_val(hp,S_1),E_4,Ea,Ta))
=> ( hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(Pa,E_4),S_1))
=> hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(Pa,E_4),S)) ) ) ) ).
fof(fact_999_TryCatch,axiom,
! [E_2,V_1,E_2_1,H_2,L_2,C,D,Fs_1,Pa,E_1,S_0,A_1,H_1,L_1_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1)))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1),L_1_1)))
=> ( hAPP_n546249108on_val(H_1,A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs_1))
=> ( hBOOL(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,V_1,hAPP_val_option_val(some_val,addr(A_1))))),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,C,V_1,E_2),S_0),E_2_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),fun_up1149430426on_val(L_2,V_1,hAPP_l207779698on_val(L_1_1,V_1))))) ) ) ) ) ).
fof(fact_1000_CastRedsFail,axiom,
! [C,D,Fs_1,Ea,S_1,A_1,S,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(A_1))),S)),transi2024712006on_val(red(Pa))))
=> ( hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S),A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs_1))
=> ( ~ hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,D),C),transi1395422419t_char(subcls851966956t_char(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,Ea)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(hAPP_list_char_nat(addr_of_sys_xcpt,classCast))))),S)),transi2024712006on_val(red(Pa)))) ) ) ) ).
fof(fact_1001_CastFail,axiom,
! [C,D,Fs_1,Pa,Ea,S_0,A_1,Ha,L_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,addr(A_1))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1)))
=> ( hAPP_n546249108on_val(Ha,A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs_1))
=> ( ~ hBOOL(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,Ea),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(hAPP_list_char_nat(addr_of_sys_xcpt,classCast))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1))) ) ) ) ).
fof(fact_1002_red__reds_ORedCastFail,axiom,
! [C,Pa,S_1,A_1,D,Fs_1] :
( hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S_1),A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs_1))
=> ( ~ hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,D),C),transi1395422419t_char(subcls851966956t_char(Pa))))
=> hBOOL(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_1)))),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(hAPP_list_char_nat(addr_of_sys_xcpt,classCast))))),S_1)),red(Pa))) ) ) ).
fof(fact_1003_CallRedsNull,axiom,
! [M,Es_1,Vsa,S_2_1,Ea,S_0,S_1_2,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),S_1_2)),transi2024712006on_val(red(Pa))))
=> ( hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_1),S_1_2)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vsa)),S_2_1)),transi374442731on_val(reds(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(Ea,M,Es_1)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(hAPP_list_char_nat(addr_of_sys_xcpt,nullPointer))))),S_2_1)),transi2024712006on_val(red(Pa)))) ) ) ).
fof(fact_1004_red__reds_ORedCallNull,axiom,
! [M,Vsa,S_1,Pa] : hBOOL(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,hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vsa))),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(hAPP_list_char_nat(addr_of_sys_xcpt,nullPointer))))),S_1)),red(Pa))) ).
fof(fact_1005_FAccRedsNull,axiom,
! [F,D,Ea,S_1,S,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),S)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(Ea,F,D)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(hAPP_list_char_nat(addr_of_sys_xcpt,nullPointer))))),S)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_1006_FAssRedsNull,axiom,
! [F,D,E_2,V,S_2_1,E_1,S_0,S_1_2,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_1),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),S_1_2)),transi2024712006on_val(red(Pa))))
=> ( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),S_1_2)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V)),S_2_1)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(E_1,F,D,E_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(hAPP_list_char_nat(addr_of_sys_xcpt,nullPointer))))),S_2_1)),transi2024712006on_val(red(Pa)))) ) ) ).
fof(fact_1007_hext__upd__obj,axiom,
! [Fs_2,Ha,A_1,C,Fs_1] :
( hAPP_n546249108on_val(Ha,A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_1))
=> hBOOL(hext(Ha,fun_up2041264236on_val(Ha,A_1,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_2))))) ) ).
fof(fact_1008_FAss,axiom,
! [H_2_1,Fs_2,F,D,C,Fs_1,E_2,V,H_2,L_2,Pa,E_1,S_0,A_1,S_1_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_0),hAPP_v834067052t_char(val_list_char,addr(A_1))),S_1_2))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_2),hAPP_v834067052t_char(val_list_char,V)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),L_2)))
=> ( hAPP_n546249108on_val(H_2,A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_1))
=> ( Fs_2 = fun_up204312361on_val(Fs_1,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,F),D),hAPP_val_option_val(some_val,V))
=> ( H_2_1 = fun_up2041264236on_val(H_2,A_1,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,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_1009_redp__redsp_ORedFAss,axiom,
! [Pa,F,D,V,L_1,Ha,A_1,C,Fs_1] :
( hAPP_n546249108on_val(Ha,A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1)),F,D,hAPP_v834067052t_char(val_list_char,V)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1)),hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,fun_up2041264236on_val(Ha,A_1,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),fun_up204312361on_val(Fs_1,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,F),D),hAPP_val_option_val(some_val,V)))))),L_1))) ) ).
fof(fact_1010_red__reds_ORedFAss,axiom,
! [F,D,V,L_1,Pa,Ha,A_1,C,Fs_1] :
( hAPP_n546249108on_val(Ha,A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_1))
=> hBOOL(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_1)),F,D,hAPP_v834067052t_char(val_list_char,V))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1))),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(Ha,A_1,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),fun_up204312361on_val(Fs_1,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,F),D),hAPP_val_option_val(some_val,V)))))),L_1))),red(Pa))) ) ).
fof(fact_1011_FAssRedsVal,axiom,
! [F,D,C,Fs_1,E_2,V,H_2,L_2,E_1,S_0,A_1,S_1_2,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_1),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(A_1))),S_1_2)),transi2024712006on_val(red(Pa))))
=> ( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),S_1_2)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V)),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_1)) = hAPP_n546249108on_val(H_2,A_1)
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(E_1,F,D,E_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,fun_up2041264236on_val(H_2,A_1,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),fun_up204312361on_val(Fs_1,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,F),D),hAPP_val_option_val(some_val,V)))))),L_2))),transi2024712006on_val(red(Pa)))) ) ) ) ).
fof(fact_1012_ThrowNull,axiom,
! [Pa,Ea,S_0,S_1_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,null)),S_1_2))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,throw_list_char(Ea),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(hAPP_list_char_nat(addr_of_sys_xcpt,nullPointer))))),S_1_2)) ) ).
fof(fact_1013_redp__redsp_ORedThrowNull,axiom,
! [Pa,S_1] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,throw_list_char(hAPP_v834067052t_char(val_list_char,null)),S_1),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(hAPP_list_char_nat(addr_of_sys_xcpt,nullPointer))))),S_1)) ).
fof(fact_1014_FAssNull,axiom,
! [F,D,E_2,V,S_2_1,Pa,E_1,S_0,S_1_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_0),hAPP_v834067052t_char(val_list_char,null)),S_1_2))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_2),hAPP_v834067052t_char(val_list_char,V)),S_2_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAss_list_char(E_1,F,D,E_2),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(hAPP_list_char_nat(addr_of_sys_xcpt,nullPointer))))),S_2_1)) ) ) ).
fof(fact_1015_FAccNull,axiom,
! [F,D,Pa,Ea,S_0,S_1_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,null)),S_1_2))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAcc_list_char(Ea,F,D),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(hAPP_list_char_nat(addr_of_sys_xcpt,nullPointer))))),S_1_2)) ) ).
fof(fact_1016_redp__redsp_ORedFAssNull,axiom,
! [Pa,F,D,V,S_1] : 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,V)),S_1),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(hAPP_list_char_nat(addr_of_sys_xcpt,nullPointer))))),S_1)) ).
fof(fact_1017_redp__redsp_ORedFAccNull,axiom,
! [Pa,F,D,S_1] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAcc_list_char(hAPP_v834067052t_char(val_list_char,null),F,D),S_1),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(hAPP_list_char_nat(addr_of_sys_xcpt,nullPointer))))),S_1)) ).
fof(fact_1018_red__reds_ORedThrowNull,axiom,
! [S_1,Pa] : hBOOL(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_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(hAPP_list_char_nat(addr_of_sys_xcpt,nullPointer))))),S_1)),red(Pa))) ).
fof(fact_1019_redp__redsp_ORedCallNull,axiom,
! [Pa,M,Vsa,S_1] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,call_list_char(hAPP_v834067052t_char(val_list_char,null),M,hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vsa)),S_1),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(hAPP_list_char_nat(addr_of_sys_xcpt,nullPointer))))),S_1)) ).
fof(fact_1020_ThrowRedsNull,axiom,
! [Ea,S_1,S,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),S)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Ea)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(hAPP_list_char_nat(addr_of_sys_xcpt,nullPointer))))),S)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_1021_red__reds_ORedFAssNull,axiom,
! [F,D,V,S_1,Pa] : hBOOL(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,V))),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(hAPP_list_char_nat(addr_of_sys_xcpt,nullPointer))))),S_1)),red(Pa))) ).
fof(fact_1022_red__reds_ORedFAccNull,axiom,
! [F,D,S_1,Pa] : hBOOL(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_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(hAPP_list_char_nat(addr_of_sys_xcpt,nullPointer))))),S_1)),red(Pa))) ).
fof(fact_1023_CallNull,axiom,
! [M,Ps,Vsa,S_2_1,Pa,Ea,S_0,S_1_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,null)),S_1_2))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Ps,S_1_2),hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vsa)),S_2_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,call_list_char(Ea,M,Ps),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(hAPP_list_char_nat(addr_of_sys_xcpt,nullPointer))))),S_2_1)) ) ) ).
fof(fact_1024_eval__cases_I12_J,axiom,
! [Pa,Ea,S_1,E,S] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,throw_list_char(Ea),S_1),E),S))
=> ( ! [A_2] :
( E = throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_2)))
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),hAPP_v834067052t_char(val_list_char,addr(A_2))),S)) )
=> ( ( E = throw_list_char(hAPP_v834067052t_char(val_list_char,addr(hAPP_list_char_nat(addr_of_sys_xcpt,nullPointer))))
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),hAPP_v834067052t_char(val_list_char,null)),S)) )
=> ~ ! [E_3] :
( E = throw_list_char(E_3)
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),throw_list_char(E_3)),S)) ) ) ) ) ).
fof(fact_1025_red__reds_ORedCall,axiom,
! [Vsa,Pa,M,Tsa,Ta,Pns,Body,D,S_1,A_1,C,Fs_1] :
( hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S_1),A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_1))
=> ( hBOOL(hAPP_list_char_bool(method1809630380t_char(Pa,C,M,Tsa,Ta,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Pns),Body)),D))
=> ( hAPP_list_val_nat(size_size_list_val,Vsa) = hAPP_l66428094ar_nat(size_s2113983095t_char,Pns)
=> ( hAPP_list_ty_nat(size_size_list_ty,Tsa) = hAPP_l66428094ar_nat(size_s2113983095t_char,Pns)
=> hBOOL(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_1)),M,hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vsa))),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,hAPP_l407174677t_char(cons_list_char(this),Pns)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,hAPP_list_ty_list_ty(cons_ty(hAPP_list_char_ty(class,D)),Tsa)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,hAPP_l273806049st_val(cons_val(addr(A_1)),Vsa)),Body))))),S_1)),red(Pa))) ) ) ) ) ).
fof(fact_1026_LAssRedsVal,axiom,
! [V_1,Ea,S_1,V,H,L,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L))),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(V_1,Ea)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),fun_up1149430426on_val(L,V_1,hAPP_val_option_val(some_val,V))))),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_1027_redp__redsp_ORedCall,axiom,
! [Vsa,Pa,M,Tsa,Ta,Pns,Body,D,S_1,A_1,C,Fs_1] :
( hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S_1),A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_1))
=> ( hBOOL(hAPP_list_char_bool(method1809630380t_char(Pa,C,M,Tsa,Ta,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Pns),Body)),D))
=> ( hAPP_list_val_nat(size_size_list_val,Vsa) = hAPP_l66428094ar_nat(size_s2113983095t_char,Pns)
=> ( hAPP_list_ty_nat(size_size_list_ty,Tsa) = hAPP_l66428094ar_nat(size_s2113983095t_char,Pns)
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,call_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1)),M,hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vsa)),S_1),blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,hAPP_l407174677t_char(cons_list_char(this),Pns)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,hAPP_list_ty_list_ty(cons_ty(hAPP_list_char_ty(class,D)),Tsa)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,hAPP_l273806049st_val(cons_val(addr(A_1)),Vsa)),Body))))),S_1)) ) ) ) ) ).
fof(fact_1028_WTrtTry,axiom,
! [V_1,C,E_2,T_2_1,Pa,Ha,E_4,E_1,T_1_1] :
( hBOOL(wTrt(Pa,Ha,E_4,E_1,T_1_1))
=> ( hBOOL(wTrt(Pa,Ha,fun_up424764369ion_ty(E_4,V_1,hAPP_ty_option_ty(some_ty,hAPP_list_char_ty(class,C))),E_2,T_2_1))
=> ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_1_1),T_2_1))
=> hBOOL(wTrt(Pa,Ha,E_4,tryCatch_list_char(E_1,C,V_1,E_2),T_2_1)) ) ) ) ).
fof(fact_1029_redp__redsp_OLAssRed,axiom,
! [V_1,Pa,Ea,S_1,E,S] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S_1),E),S))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,lAss_list_char(V_1,Ea),S_1),lAss_list_char(V_1,E)),S)) ) ).
fof(fact_1030_eval__evals_OLAssThrow,axiom,
! [V_1,Pa,Ea,S_0,E,S_1_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),throw_list_char(E)),S_1_2))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,lAss_list_char(V_1,Ea),S_0),throw_list_char(E)),S_1_2)) ) ).
fof(fact_1031_redp__redsp_OLAssThrow,axiom,
! [Pa,V_1,Ea,S_1] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,lAss_list_char(V_1,throw_list_char(Ea)),S_1),throw_list_char(Ea)),S_1)) ).
fof(fact_1032_red__reds_OLAssRed,axiom,
! [V_1,Ea,S_1,E,S,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S)),red(Pa)))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(V_1,Ea)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(V_1,E)),S)),red(Pa))) ) ).
fof(fact_1033_WTrtCall,axiom,
! [Es_1,Ts_1,M,Tsa,Ta,Pns,Body,D,Pa,Ha,E_4,Ea,C] :
( hBOOL(wTrt(Pa,Ha,E_4,Ea,hAPP_list_char_ty(class,C)))
=> ( hBOOL(hAPP_list_char_bool(method1809630380t_char(Pa,C,M,Tsa,Ta,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Pns),Body)),D))
=> ( hBOOL(wTrts_1(Pa,Ha,E_4,Es_1,Ts_1))
=> ( hBOOL(hAPP_list_ty_bool(list_all2_ty_ty(widen_2090681816t_char(Pa),Ts_1),Tsa))
=> hBOOL(wTrt(Pa,Ha,E_4,call_list_char(Ea,M,Es_1),Ta)) ) ) ) ) ).
fof(fact_1034_red__reds_OLAssThrow,axiom,
! [V_1,Ea,S_1,Pa] : hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(V_1,throw_list_char(Ea))),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Ea)),S_1)),red(Pa))) ).
fof(fact_1035_LAssReds,axiom,
! [V_1,Ea,S_1,E,S,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(V_1,Ea)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(V_1,E)),S)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_1036_LAssRedsThrow,axiom,
! [V_1,Ea,S_1,A_1,S,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A_1)),S)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(V_1,Ea)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A_1)),S)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_1037_LAss,axiom,
! [L,V_1,Pa,Ea,S_0,V,Ha,L_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,V)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1)))
=> ( L = fun_up1149430426on_val(L_1,V_1,hAPP_val_option_val(some_val,V))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,lAss_list_char(V_1,Ea),S_0),hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L))) ) ) ).
fof(fact_1038_redp__redsp_ORedLAss,axiom,
! [Pa,V_1,V,Ha,L_1] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,lAss_list_char(V_1,hAPP_v834067052t_char(val_list_char,V)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1)),hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),fun_up1149430426on_val(L_1,V_1,hAPP_val_option_val(some_val,V))))) ).
fof(fact_1039_red__reds_ORedLAss,axiom,
! [V_1,V,Ha,L_1,Pa] : hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(V_1,hAPP_v834067052t_char(val_list_char,V))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),fun_up1149430426on_val(L_1,V_1,hAPP_val_option_val(some_val,V))))),red(Pa))) ).
fof(fact_1040_WTrt__elim__cases_I5_J,axiom,
! [Pa,Ha,E_4,E_1,C,V_1,E_2,Ta] :
( hBOOL(wTrt(Pa,Ha,E_4,tryCatch_list_char(E_1,C,V_1,E_2),Ta))
=> ~ ! [T_1_2] :
( hBOOL(wTrt(Pa,Ha,E_4,E_1,T_1_2))
=> ( hBOOL(wTrt(Pa,Ha,fun_up424764369ion_ty(E_4,V_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_1041_red__reds_ORedTryCatch,axiom,
! [V_1,E_2,C,Pa,S_1,A_1,D,Fs_1] :
( hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S_1),A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs_1))
=> ( hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,D),C),transi1395422419t_char(subcls851966956t_char(Pa))))
=> hBOOL(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_1))),C,V_1,E_2)),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(V_1,hAPP_list_char_ty(class,C),seq_list_char(lAss_list_char(V_1,hAPP_v834067052t_char(val_list_char,addr(A_1))),E_2))),S_1)),red(Pa))) ) ) ).
fof(fact_1042_eval__cases_I4_J,axiom,
! [Pa,V_1,Ea,S_1,E,S] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,lAss_list_char(V_1,Ea),S_1),E),S))
=> ( ( E = hAPP_v834067052t_char(val_list_char,unit)
=> ! [V_4,H_4,L_4] :
( S = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_4),fun_up1149430426on_val(L_4,V_1,hAPP_val_option_val(some_val,V_4)))
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),hAPP_v834067052t_char(val_list_char,V_4)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_4),L_4))) ) )
=> ~ ! [E_3] :
( E = throw_list_char(E_3)
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),throw_list_char(E_3)),S)) ) ) ) ).
fof(fact_1043_default__val_Osimps_I5_J,axiom,
! [C_3] : hAPP_ty_val(default_val,hAPP_list_char_ty(class,C_3)) = null ).
fof(fact_1044_WTrtBlock,axiom,
! [Pa,Ha,E_4,V_1,Ta,Ea,T_4] :
( hBOOL(wTrt(Pa,Ha,fun_up424764369ion_ty(E_4,V_1,hAPP_ty_option_ty(some_ty,Ta)),Ea,T_4))
=> hBOOL(wTrt(Pa,Ha,E_4,block_list_char(V_1,Ta,Ea),T_4)) ) ).
fof(fact_1045_redp__redsp_ORedBlock,axiom,
! [Pa,V_1,Ta,U,S_1] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(V_1,Ta,hAPP_v834067052t_char(val_list_char,U)),S_1),hAPP_v834067052t_char(val_list_char,U)),S_1)) ).
fof(fact_1046_val_Osimps_I3_J,axiom,
! [Nat_2,Nat_1] :
( addr(Nat_2) = addr(Nat_1)
<=> Nat_2 = Nat_1 ) ).
fof(fact_1047_val_Osimps_I1_J,axiom,
! [Bool_1,Bool] :
( bool(Bool_1) = bool(Bool)
<=> ( hBOOL(Bool_1)
<=> hBOOL(Bool) ) ) ).
fof(fact_1048_red__reds_ORedBlock,axiom,
! [V_1,Ta,U,S_1,Pa] : hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(V_1,Ta,hAPP_v834067052t_char(val_list_char,U))),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,U)),S_1)),red(Pa))) ).
fof(fact_1049_redp__redsp_OBlockThrow,axiom,
! [Pa,V_1,Ta,A_1,S_1] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(V_1,Ta,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1)))),S_1),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1)))),S_1)) ).
fof(fact_1050_redp__redsp_ORedInitBlock,axiom,
! [Pa,V_1,Ta,V,U,S_1] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(V_1,Ta,seq_list_char(lAss_list_char(V_1,hAPP_v834067052t_char(val_list_char,V)),hAPP_v834067052t_char(val_list_char,U))),S_1),hAPP_v834067052t_char(val_list_char,U)),S_1)) ).
fof(fact_1051_red__reds_OBlockThrow,axiom,
! [V_1,Ta,A_1,S_1,Pa] : hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(V_1,Ta,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1))))),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1)))),S_1)),red(Pa))) ).
fof(fact_1052_red__reds_ORedInitBlock,axiom,
! [V_1,Ta,V,U,S_1,Pa] : hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(V_1,Ta,seq_list_char(lAss_list_char(V_1,hAPP_v834067052t_char(val_list_char,V)),hAPP_v834067052t_char(val_list_char,U)))),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,U)),S_1)),red(Pa))) ).
fof(fact_1053_redp__redsp_OInitBlockThrow,axiom,
! [Pa,V_1,Ta,V,A_1,S_1] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(V_1,Ta,seq_list_char(lAss_list_char(V_1,hAPP_v834067052t_char(val_list_char,V)),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1))))),S_1),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1)))),S_1)) ).
fof(fact_1054_val_Osimps_I17_J,axiom,
! [Nat] : addr(Nat) != null ).
fof(fact_1055_val_Osimps_I16_J,axiom,
! [Nat] : null != addr(Nat) ).
fof(fact_1056_redp__redsp_OInitBlockRed,axiom,
! [Ta,V_6,Pa,Ea,Ha,L_1,V_1,V,E,H,L] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),fun_up1149430426on_val(L_1,V_1,hAPP_val_option_val(some_val,V)))),E),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L)))
=> ( hAPP_l207779698on_val(L,V_1) = hAPP_val_option_val(some_val,V_6)
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(V_1,Ta,seq_list_char(lAss_list_char(V_1,hAPP_v834067052t_char(val_list_char,V)),Ea)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1)),block_list_char(V_1,Ta,seq_list_char(lAss_list_char(V_1,hAPP_v834067052t_char(val_list_char,V_6)),E))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),fun_up1149430426on_val(L,V_1,hAPP_l207779698on_val(L_1,V_1))))) ) ) ).
fof(fact_1057_val_Osimps_I21_J,axiom,
! [Nat_1,Bool_1] : addr(Nat_1) != bool(Bool_1) ).
fof(fact_1058_val_Osimps_I20_J,axiom,
! [Bool_1,Nat_1] : bool(Bool_1) != addr(Nat_1) ).
fof(fact_1059_val_Osimps_I11_J,axiom,
! [Nat] : addr(Nat) != unit ).
fof(fact_1060_val_Osimps_I10_J,axiom,
! [Nat] : unit != addr(Nat) ).
fof(fact_1061_val_Osimps_I12_J,axiom,
! [Bool] : null != bool(Bool) ).
fof(fact_1062_val_Osimps_I13_J,axiom,
! [Bool] : bool(Bool) != null ).
fof(fact_1063_val_Osimps_I4_J,axiom,
unit != null ).
fof(fact_1064_val_Osimps_I5_J,axiom,
null != unit ).
fof(fact_1065_val_Osimps_I6_J,axiom,
! [Bool] : unit != bool(Bool) ).
fof(fact_1066_val_Osimps_I7_J,axiom,
! [Bool] : bool(Bool) != unit ).
fof(fact_1067_red__reds_OInitBlockThrow,axiom,
! [V_1,Ta,V,A_1,S_1,Pa] : hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(V_1,Ta,seq_list_char(lAss_list_char(V_1,hAPP_v834067052t_char(val_list_char,V)),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1)))))),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1)))),S_1)),red(Pa))) ).
fof(fact_1068_red__reds_OInitBlockRed,axiom,
! [Ta,V_6,Ea,Ha,L_1,V_1,V,E,H,L,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),fun_up1149430426on_val(L_1,V_1,hAPP_val_option_val(some_val,V))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L))),red(Pa)))
=> ( hAPP_l207779698on_val(L,V_1) = hAPP_val_option_val(some_val,V_6)
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(V_1,Ta,seq_list_char(lAss_list_char(V_1,hAPP_v834067052t_char(val_list_char,V)),Ea))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(V_1,Ta,seq_list_char(lAss_list_char(V_1,hAPP_v834067052t_char(val_list_char,V_6)),E))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),fun_up1149430426on_val(L,V_1,hAPP_l207779698on_val(L_1,V_1))))),red(Pa))) ) ) ).
fof(fact_1069_InitBlockRedsFinal,axiom,
! [Ta,Ea,Ha,L_1,V_1,V,E,H,L,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),fun_up1149430426on_val(L_1,V_1,hAPP_val_option_val(some_val,V))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L))),transi2024712006on_val(red(Pa))))
=> ( hBOOL(final_list_char(E))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(V_1,Ta,seq_list_char(lAss_list_char(V_1,hAPP_v834067052t_char(val_list_char,V)),Ea))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),fun_up1149430426on_val(L,V_1,hAPP_l207779698on_val(L_1,V_1))))),transi2024712006on_val(red(Pa)))) ) ) ).
fof(fact_1070_InitBlockReds,axiom,
! [Ta,Ea,Ha,L_1,V_1,V,E,H,L,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),fun_up1149430426on_val(L_1,V_1,hAPP_val_option_val(some_val,V))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L))),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(V_1,Ta,seq_list_char(lAss_list_char(V_1,hAPP_v834067052t_char(val_list_char,V)),Ea))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(V_1,Ta,seq_list_char(lAss_list_char(V_1,hAPP_v834067052t_char(val_list_char,hAPP_option_val_val(the_val,hAPP_l207779698on_val(L,V_1)))),E))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),fun_up1149430426on_val(L,V_1,hAPP_l207779698on_val(L_1,V_1))))),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_1071_blocks_Osimps_I1_J,axiom,
! [V_5,Vs_1,T,Ts_2,V_3,Vs,E_6] : blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,hAPP_l407174677t_char(cons_list_char(V_5),Vs_1)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,hAPP_list_ty_list_ty(cons_ty(T),Ts_2)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,hAPP_l273806049st_val(cons_val(V_3),Vs)),E_6)))) = block_list_char(V_5,T,seq_list_char(lAss_list_char(V_5,hAPP_v834067052t_char(val_list_char,V_3)),blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Vs_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Ts_2),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Vs),E_6)))))) ).
fof(fact_1072_finalRefE,axiom,
! [Pa,Ha,E_4,Ea,Ta] :
( hBOOL(wTrt(Pa,Ha,E_4,Ea,Ta))
=> ( hBOOL(is_refT(Ta))
=> ( hBOOL(final_list_char(Ea))
=> ( Ea != hAPP_v834067052t_char(val_list_char,null)
=> ( ( ? [A_2] : Ea = hAPP_v834067052t_char(val_list_char,addr(A_2))
=> ! [C_1] : Ta != hAPP_list_char_ty(class,C_1) )
=> ~ ! [A_2] : Ea != throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_2))) ) ) ) ) ) ).
fof(fact_1073_final__addrE,axiom,
! [Pa,Ha,E_4,Ea,C] :
( hBOOL(wTrt(Pa,Ha,E_4,Ea,hAPP_list_char_ty(class,C)))
=> ( hBOOL(final_list_char(Ea))
=> ( ! [A_2] : Ea != hAPP_v834067052t_char(val_list_char,addr(A_2))
=> ~ ! [A_2] : Ea != throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_2))) ) ) ) ).
fof(fact_1074_WTrt_H__WTrts_H_Ointros_I16_J,axiom,
! [E_4,V_1,E_2,T_2_1,Pa,Ta,Ha,V,T_1_1] :
( hAPP_val_option_ty(typeof_h(Ha),V) = 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_1(Pa,Ha,fun_up424764369ion_ty(E_4,V_1,hAPP_ty_option_ty(some_ty,Ta)),E_2,T_2_1))
=> hBOOL(wTrt_1(Pa,Ha,E_4,block_list_char(V_1,Ta,seq_list_char(lAss_list_char(V_1,hAPP_v834067052t_char(val_list_char,V)),E_2)),T_2_1)) ) ) ) ).
fof(fact_1075_redp__redsp_ORedTryCatch,axiom,
! [V_1,E_2,Pa,C,S_1,A_1,D,Fs_1] :
( hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S_1),A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs_1))
=> ( 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_1))),C,V_1,E_2),S_1),block_list_char(V_1,hAPP_list_char_ty(class,C),seq_list_char(lAss_list_char(V_1,hAPP_v834067052t_char(val_list_char,addr(A_1))),E_2))),S_1)) ) ) ).
fof(fact_1076_WTrt_H__WTrts_H_Ointros_I3_J,axiom,
! [Pa,E_4,Ha,V,Ta] :
( hAPP_val_option_ty(typeof_h(Ha),V) = hAPP_ty_option_ty(some_ty,Ta)
=> hBOOL(wTrt_1(Pa,Ha,E_4,hAPP_v834067052t_char(val_list_char,V),Ta)) ) ).
fof(fact_1077_WTrt_H__WTrts_H_Ointros_I18_J,axiom,
! [E_2,T_2_1,Pa,Ha,E_4,E_1,T_1_1] :
( hBOOL(wTrt_1(Pa,Ha,E_4,E_1,T_1_1))
=> ( hBOOL(wTrt_1(Pa,Ha,E_4,E_2,T_2_1))
=> hBOOL(wTrt_1(Pa,Ha,E_4,seq_list_char(E_1,E_2),T_2_1)) ) ) ).
fof(fact_1078_wt_H__iff__wt,axiom,
! [Pa,Ha,E_4,Ea,Ta] :
( hBOOL(wTrt_1(Pa,Ha,E_4,Ea,Ta))
<=> hBOOL(wTrt(Pa,Ha,E_4,Ea,Ta)) ) ).
fof(fact_1079_wt_H__wt,axiom,
! [Pa,Ha,E_4,Ea,Ta] :
( hBOOL(wTrt_1(Pa,Ha,E_4,Ea,Ta))
=> hBOOL(wTrt(Pa,Ha,E_4,Ea,Ta)) ) ).
fof(fact_1080_wt__wt_H,axiom,
! [Pa,Ha,E_4,Ea,Ta] :
( hBOOL(wTrt(Pa,Ha,E_4,Ea,Ta))
=> hBOOL(wTrt_1(Pa,Ha,E_4,Ea,Ta)) ) ).
fof(fact_1081_WTrt_H__WTrts_H_Ointros_I21_J,axiom,
! [Ta,Pa,Ha,E_4,Ea,T_r] :
( hBOOL(wTrt_1(Pa,Ha,E_4,Ea,T_r))
=> ( hBOOL(is_refT(T_r))
=> hBOOL(wTrt_1(Pa,Ha,E_4,throw_list_char(Ea),Ta)) ) ) ).
fof(fact_1082_redp__redsp_ORedCast,axiom,
! [Pa,C,S_1,A_1,D,Fs_1] :
( hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S_1),A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs_1))
=> ( 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_1))),S_1),hAPP_v834067052t_char(val_list_char,addr(A_1))),S_1)) ) ) ).
fof(fact_1083_redp__redsp_ORedTryFail,axiom,
! [V_1,E_2,Pa,C,S_1,A_1,D,Fs_1] :
( hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S_1),A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs_1))
=> ( ~ 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_1))),C,V_1,E_2),S_1),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1)))),S_1)) ) ) ).
fof(fact_1084_WTrt_H__WTrts_H_Ointros_I22_J,axiom,
! [V_1,C,E_2,T_2_1,Pa,Ha,E_4,E_1,T_1_1] :
( hBOOL(wTrt_1(Pa,Ha,E_4,E_1,T_1_1))
=> ( hBOOL(wTrt_1(Pa,Ha,fun_up424764369ion_ty(E_4,V_1,hAPP_ty_option_ty(some_ty,hAPP_list_char_ty(class,C))),E_2,T_2_1))
=> ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_1_1),T_2_1))
=> hBOOL(wTrt_1(Pa,Ha,E_4,tryCatch_list_char(E_1,C,V_1,E_2),T_2_1)) ) ) ) ).
fof(fact_1085_redp__redsp_ORedCastFail,axiom,
! [Pa,C,S_1,A_1,D,Fs_1] :
( hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S_1),A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,D),Fs_1))
=> ( ~ 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_1))),S_1),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(hAPP_list_char_nat(addr_of_sys_xcpt,classCast))))),S_1)) ) ) ).
fof(fact_1086_WTrt_H__WTrts_H_Ointros_I12_J,axiom,
! [Es_1,Ts_1,M,Tsa,Ta,Pns,Body,D,Pa,Ha,E_4,Ea,C] :
( hBOOL(wTrt_1(Pa,Ha,E_4,Ea,hAPP_list_char_ty(class,C)))
=> ( hBOOL(hAPP_list_char_bool(method1809630380t_char(Pa,C,M,Tsa,Ta,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Pns),Body)),D))
=> ( hBOOL(wTrts(Pa,Ha,E_4,Es_1,Ts_1))
=> ( hBOOL(hAPP_list_ty_bool(list_all2_ty_ty(widen_2090681816t_char(Pa),Ts_1),Tsa))
=> hBOOL(wTrt_1(Pa,Ha,E_4,call_list_char(Ea,M,Es_1),Ta)) ) ) ) ) ).
fof(fact_1087_WTrt_H__WTrts_H_Ointros_I17_J,axiom,
! [Pa,Ha,E_4,V_1,Ta,Ea,T_4] :
( hBOOL(wTrt_1(Pa,Ha,fun_up424764369ion_ty(E_4,V_1,hAPP_ty_option_ty(some_ty,Ta)),Ea,T_4))
=> ( ~ hBOOL(assigned(V_1,Ea))
=> hBOOL(wTrt_1(Pa,Ha,E_4,block_list_char(V_1,Ta,Ea),T_4)) ) ) ).
fof(fact_1088_BlockRedsFinal,axiom,
! [Ta,H_0,L_0,V_1,E_0,S_0,E_2,H_2,L_2,Pa] :
( hBOOL(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,V_1,none_val))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(V_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,V_1,hAPP_l207779698on_val(L_0,V_1))))),transi2024712006on_val(red(Pa)))) ) ) ) ).
fof(fact_1089_wts__wts_H,axiom,
! [Pa,Ha,E_4,Es_1,Tsa] :
( hBOOL(wTrts_1(Pa,Ha,E_4,Es_1,Tsa))
=> hBOOL(wTrts(Pa,Ha,E_4,Es_1,Tsa)) ) ).
fof(fact_1090_wts_H__wts,axiom,
! [Pa,Ha,E_4,Es_1,Tsa] :
( hBOOL(wTrts(Pa,Ha,E_4,Es_1,Tsa))
=> hBOOL(wTrts_1(Pa,Ha,E_4,Es_1,Tsa)) ) ).
fof(fact_1091_wts_H__iff__wts,axiom,
! [Pa,Ha,E_4,Es_1,Tsa] :
( hBOOL(wTrts(Pa,Ha,E_4,Es_1,Tsa))
<=> hBOOL(wTrts_1(Pa,Ha,E_4,Es_1,Tsa)) ) ).
fof(fact_1092_redp__redsp_OBlockRedNone,axiom,
! [Ta,Pa,Ea,Ha,L_1,V_1,E,H,L] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),fun_up1149430426on_val(L_1,V_1,none_val))),E),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L)))
=> ( hAPP_l207779698on_val(L,V_1) = none_val
=> ( ~ hBOOL(assigned(V_1,Ea))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(V_1,Ta,Ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1)),block_list_char(V_1,Ta,E)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),fun_up1149430426on_val(L,V_1,hAPP_l207779698on_val(L_1,V_1))))) ) ) ) ).
fof(fact_1093_red__reds_OBlockRedNone,axiom,
! [Ta,Ea,Ha,L_1,V_1,E,H,L,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),fun_up1149430426on_val(L_1,V_1,none_val)))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L))),red(Pa)))
=> ( hAPP_l207779698on_val(L,V_1) = none_val
=> ( ~ hBOOL(assigned(V_1,Ea))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(V_1,Ta,Ea)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(V_1,Ta,E)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),fun_up1149430426on_val(L,V_1,hAPP_l207779698on_val(L_1,V_1))))),red(Pa))) ) ) ) ).
fof(fact_1094_Block,axiom,
! [Ta,Pa,E_0,H_0,L_0,V_1,E_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,V_1,none_val))),E_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(V_1,Ta,E_0),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_0),L_0)),E_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1),fun_up1149430426on_val(L_1_1,V_1,hAPP_l207779698on_val(L_0,V_1))))) ) ).
fof(fact_1095_redp__redsp_OBlockRedSome,axiom,
! [Ta,V,Pa,Ea,Ha,L_1,V_1,E,H,L] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),fun_up1149430426on_val(L_1,V_1,none_val))),E),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L)))
=> ( hAPP_l207779698on_val(L,V_1) = hAPP_val_option_val(some_val,V)
=> ( ~ hBOOL(assigned(V_1,Ea))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(V_1,Ta,Ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1)),block_list_char(V_1,Ta,seq_list_char(lAss_list_char(V_1,hAPP_v834067052t_char(val_list_char,V)),E))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),fun_up1149430426on_val(L,V_1,hAPP_l207779698on_val(L_1,V_1))))) ) ) ) ).
fof(fact_1096_WTrt_H__WTrts_H_Ointros_I15_J,axiom,
! [Es_1,Tsa,Pa,Ha,E_4,Ea,Ta] :
( hBOOL(wTrt_1(Pa,Ha,E_4,Ea,Ta))
=> ( hBOOL(wTrts(Pa,Ha,E_4,Es_1,Tsa))
=> hBOOL(wTrts(Pa,Ha,E_4,hAPP_l2011456725t_char(cons_exp_list_char(Ea),Es_1),hAPP_list_ty_list_ty(cons_ty(Ta),Tsa))) ) ) ).
fof(fact_1097_red__reds_OBlockRedSome,axiom,
! [Ta,V,Ea,Ha,L_1,V_1,E,H,L,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),fun_up1149430426on_val(L_1,V_1,none_val)))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L))),red(Pa)))
=> ( hAPP_l207779698on_val(L,V_1) = hAPP_val_option_val(some_val,V)
=> ( ~ hBOOL(assigned(V_1,Ea))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(V_1,Ta,Ea)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(V_1,Ta,seq_list_char(lAss_list_char(V_1,hAPP_v834067052t_char(val_list_char,V)),E))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),fun_up1149430426on_val(L,V_1,hAPP_l207779698on_val(L_1,V_1))))),red(Pa))) ) ) ) ).
fof(fact_1098_eval__cases_I8_J,axiom,
! [Pa,V_1,Ta,E_1,S_1,E,S] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,block_list_char(V_1,Ta,E_1),S_1),E),S))
=> ~ ! [H_0_1,L_0_1] :
( S_1 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_0_1),L_0_1)
=> ! [H_1_1,L_1_2] :
( S = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1_1),fun_up1149430426on_val(L_1_2,V_1,hAPP_l207779698on_val(L_0_1,V_1)))
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_0_1),fun_up1149430426on_val(L_0_1,V_1,none_val))),E),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1_1),L_1_2))) ) ) ) ).
fof(fact_1099_assigned__def,axiom,
! [V_1,Ea] :
( hBOOL(assigned(V_1,Ea))
<=> ? [V_4,E_3] : Ea = seq_list_char(lAss_list_char(V_1,hAPP_v834067052t_char(val_list_char,V_4)),E_3) ) ).
fof(fact_1100_Call,axiom,
! [E,H_3,L_3,L_2_1,M,Tsa,Ta,Pns,Body,D,C,Fs_1,Ps,Vsa,H_2,L_2,Pa,Ea,S_0,A_1,S_1_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,addr(A_1))),S_1_2))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Ps,S_1_2),hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vsa)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),L_2)))
=> ( hAPP_n546249108on_val(H_2,A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_1))
=> ( hBOOL(hAPP_list_char_bool(method1809630380t_char(Pa,C,M,Tsa,Ta,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Pns),Body)),D))
=> ( hAPP_list_val_nat(size_size_list_val,Vsa) = hAPP_l66428094ar_nat(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_1))),Pns,Vsa)
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Body,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),L_2_1)),E),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_3),L_3)))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,call_list_char(Ea,M,Ps),S_0),E),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_3),L_2))) ) ) ) ) ) ) ) ).
fof(fact_1101_typeof__lit__typeof,axiom,
! [Ha,V,Ta] :
( hAPP_val_option_ty(typeof_h(hAPP_o1576581476on_val(cOMBK_1944287343al_nat,none_P179726773on_val)),V) = hAPP_ty_option_ty(some_ty,Ta)
=> hAPP_val_option_ty(typeof_h(Ha),V) = hAPP_ty_option_ty(some_ty,Ta) ) ).
fof(fact_1102_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(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_1103_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(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_1104_hext__new,axiom,
! [X_2,Ha,A_1] :
( hAPP_n546249108on_val(Ha,A_1) = none_P179726773on_val
=> hBOOL(hext(Ha,fun_up2041264236on_val(Ha,A_1,hAPP_P1510515380on_val(some_P948696889on_val,X_2)))) ) ).
fof(fact_1105_CallRedsFinal,axiom,
! [Ef,H_3,L_3,L_2_1,M,Tsa,Ta,Pns,Body,D,C,Fs_1,Es_1,Vsa,H_2,L_2,Ea,S_0,A_1,S_1_2,Pa] :
( hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa))
=> ( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(A_1))),S_1_2)),transi2024712006on_val(red(Pa))))
=> ( hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_1),S_1_2)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vsa)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),L_2))),transi374442731on_val(reds(Pa))))
=> ( hAPP_n546249108on_val(H_2,A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_1))
=> ( hBOOL(hAPP_list_char_bool(method1809630380t_char(Pa,C,M,Tsa,Ta,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Pns),Body)),D))
=> ( hAPP_list_val_nat(size_size_list_val,Vsa) = hAPP_l66428094ar_nat(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_1))),Pns,Vsa)
=> ( hBOOL(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(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(Ea,M,Es_1)),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_1106_binop_Osimps_I3_J,axiom,
! [V_2_1] : binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,add),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,unit),V_2_1))) = none_val ).
fof(fact_1107_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_1108_bop_Oexhaust,axiom,
! [Y] :
( is_bop(Y)
=> ( Y != c_Expr_Obop_OEq
=> Y = add ) ) ).
fof(fact_1109_bop_Osimps_I2_J,axiom,
add != c_Expr_Obop_OEq ).
fof(fact_1110_bop_Osimps_I1_J,axiom,
c_Expr_Obop_OEq != add ).
fof(fact_1111_extend__1__eval,axiom,
! [E,S,Ea,S_1,E_5,S_3,Pa] :
( hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa))
=> ( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),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),S))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),E),S)) ) ) ) ).
fof(fact_1112_extend__1__evals,axiom,
! [Es,T_7,Es_1,T_6,Es_2,T_5,Pa] :
( hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa))
=> ( hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_1),T_6)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_2),T_5)),reds(Pa)))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Es_2,T_5),Es),T_7))
=> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Es_1,T_6),Es),T_7)) ) ) ) ).
fof(fact_1113_big__by__small,axiom,
! [Ea,S_1,E,S,Pa] :
( hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),E),S))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S)),transi2024712006on_val(red(Pa)))) ) ) ).
fof(fact_1114_extend__eval,axiom,
! [E,S,Ea,S_1,E_5,S_3,Pa] :
( hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa))
=> ( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),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),S))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),E),S)) ) ) ) ).
fof(fact_1115_bigs__by__smalls,axiom,
! [Es_1,S_1,Es,S,Pa] :
( hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Es_1,S_1),Es),S))
=> hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_1),S_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es),S)),transi374442731on_val(reds(Pa)))) ) ) ).
fof(fact_1116_extend__evals,axiom,
! [Es,S,Es_1,S_1,Es_2,S_3,Pa] :
( hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa))
=> ( hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_1),S_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_2),S_3)),transi374442731on_val(reds(Pa))))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Es_2,S_3),Es),S))
=> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Es_1,S_1),Es),S)) ) ) ) ).
fof(fact_1117_small__by__big,axiom,
! [Ea,S_1,E,S,Pa] :
( hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa))
=> ( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S)),transi2024712006on_val(red(Pa))))
=> ( hBOOL(final_list_char(E))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),E),S)) ) ) ) ).
fof(fact_1118_big__iff__small,axiom,
! [Ea,S_1,E,S,Pa] :
( hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),E),S))
<=> ( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),S)),transi2024712006on_val(red(Pa))))
& hBOOL(final_list_char(E)) ) ) ) ).
fof(fact_1119_binop_Osimps_I6_J,axiom,
! [V_3,V_2_1] : binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,add),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,addr(V_3)),V_2_1))) = none_val ).
fof(fact_1120_binop_Osimps_I10_J,axiom,
! [V_1_3,V_3] : 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_3)))) = none_val ).
fof(fact_1121_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_1122_binop_Osimps_I4_J,axiom,
! [V_2_1] : binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,add),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,null),V_2_1))) = none_val ).
fof(fact_1123_binop_Osimps_I5_J,axiom,
! [V,V_2] : binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,add),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,bool(V)),V_2))) = none_val ).
fof(fact_1124_binop_Osimps_I9_J,axiom,
! [V_1_2,V] : binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,add),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,V_1_2),bool(V)))) = none_val ).
fof(fact_1125_WTrtFAcc,axiom,
! [F,Ta,D,Pa,Ha,E_4,Ea,C] :
( hBOOL(wTrt(Pa,Ha,E_4,Ea,hAPP_list_char_ty(class,C)))
=> ( hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(Pa,C,F,Ta),D))
=> hBOOL(wTrt(Pa,Ha,E_4,fAcc_list_char(Ea,F,D),Ta)) ) ) ).
fof(fact_1126_WTrt_H__WTrts_H_Ointros_I8_J,axiom,
! [F,Ta,D,Pa,Ha,E_4,Ea,C] :
( hBOOL(wTrt_1(Pa,Ha,E_4,Ea,hAPP_list_char_ty(class,C)))
=> ( hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(Pa,C,F,Ta),D))
=> hBOOL(wTrt_1(Pa,Ha,E_4,fAcc_list_char(Ea,F,D),Ta)) ) ) ).
fof(fact_1127_eval__cases_I11_J,axiom,
! [Pa,B,C_2,S_1,E,S] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(B,C_2),S_1),E),S))
=> ( ( E = hAPP_v834067052t_char(val_list_char,unit)
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,B,S_1),hAPP_v834067052t_char(val_list_char,bool(fFalse))),S)) )
=> ( ! [S_1_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,B,S_1),hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1_1))
=> ! [V_1_1,S_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))
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(B,C_2),S_2),E),S)) ) )
=> ( ! [E_3] :
( E = throw_list_char(E_3)
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,B,S_1),throw_list_char(E_3)),S)) )
=> ~ ! [S_1_1,E_3] :
( E = throw_list_char(E_3)
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,B,S_1),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_3)),S)) ) ) ) ) ) ) ).
fof(fact_1128_WTrtCast,axiom,
! [C,Pa,Ha,E_4,Ea,Ta] :
( hBOOL(wTrt(Pa,Ha,E_4,Ea,Ta))
=> ( hBOOL(is_refT(Ta))
=> ( hBOOL(hAPP_list_char_bool(is_cla570604648t_char(Pa),C))
=> hBOOL(wTrt(Pa,Ha,E_4,cast_list_char(C,Ea),hAPP_list_char_ty(class,C))) ) ) ) ).
fof(fact_1129_WTrt_H__WTrts_H_Ointros_I2_J,axiom,
! [C,Pa,Ha,E_4,Ea,Ta] :
( hBOOL(wTrt_1(Pa,Ha,E_4,Ea,Ta))
=> ( hBOOL(is_refT(Ta))
=> ( hBOOL(hAPP_list_char_bool(is_cla570604648t_char(Pa),C))
=> hBOOL(wTrt_1(Pa,Ha,E_4,cast_list_char(C,Ea),hAPP_list_char_ty(class,C))) ) ) ) ).
fof(fact_1130_WTrt__elim__cases_I6_J,axiom,
! [Pa,Ha,E_4,D,Ea,Ta] :
( hBOOL(wTrt(Pa,Ha,E_4,cast_list_char(D,Ea),Ta))
=> ~ ( Ta = hAPP_list_char_ty(class,D)
=> ! [T_1] :
( hBOOL(wTrt(Pa,Ha,E_4,Ea,T_1))
=> ( hBOOL(is_refT(T_1))
=> ~ hBOOL(hAPP_list_char_bool(is_cla570604648t_char(Pa),D)) ) ) ) ) ).
fof(fact_1131_WTrt_H__WTrts_H_Ointros_I10_J,axiom,
! [E_2,T_2_1,F,Ta,D,Pa,Ha,E_4,E_1,C] :
( hBOOL(wTrt_1(Pa,Ha,E_4,E_1,hAPP_list_char_ty(class,C)))
=> ( hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(Pa,C,F,Ta),D))
=> ( hBOOL(wTrt_1(Pa,Ha,E_4,E_2,T_2_1))
=> ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_2_1),Ta))
=> hBOOL(wTrt_1(Pa,Ha,E_4,fAss_list_char(E_1,F,D,E_2),void)) ) ) ) ) ).
fof(fact_1132_Red__fv,axiom,
! [Ea,Ha,L_1,E,H,L,Pa] :
( hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa))
=> ( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L))),red(Pa)))
=> hBOOL(ord_le2092826700r_bool(fv(E),fv(Ea))) ) ) ).
fof(fact_1133_WTrtLAss,axiom,
! [Pa,Ha,Ea,T_4,E_4,V_1,Ta] :
( hAPP_l512744617ion_ty(E_4,V_1) = hAPP_ty_option_ty(some_ty,Ta)
=> ( hBOOL(wTrt(Pa,Ha,E_4,Ea,T_4))
=> ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_4),Ta))
=> hBOOL(wTrt(Pa,Ha,E_4,lAss_list_char(V_1,Ea),void)) ) ) ) ).
fof(fact_1134_fv__fvs_Osimps_I14_J,axiom,
! [Ea] : fv(throw_list_char(Ea)) = fv(Ea) ).
fof(fact_1135_fv__fvs_Osimps_I7_J,axiom,
! [Ea,F,D] : fv(fAcc_list_char(Ea,F,D)) = fv(Ea) ).
fof(fact_1136_fv__fvs_Osimps_I2_J,axiom,
! [C,Ea] : fv(cast_list_char(C,Ea)) = fv(Ea) ).
fof(fact_1137_eval__notfree__unchanged,axiom,
! [V_1,Pa,Ea,Ha,L_1,E,H,L] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1)),E),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L)))
=> ( ~ hBOOL(member_list_char(V_1,fv(Ea)))
=> hAPP_l207779698on_val(L,V_1) = hAPP_l207779698on_val(L_1,V_1) ) ) ).
fof(fact_1138_default__val_Osimps_I1_J,axiom,
hAPP_ty_val(default_val,void) = unit ).
fof(fact_1139_typeof__h_Osimps_I1_J,axiom,
! [Ha] : hAPP_val_option_ty(typeof_h(Ha),unit) = hAPP_ty_option_ty(some_ty,void) ).
fof(fact_1140_WTrtFAss,axiom,
! [E_2,T_2_1,F,Ta,D,Pa,Ha,E_4,E_1,C] :
( hBOOL(wTrt(Pa,Ha,E_4,E_1,hAPP_list_char_ty(class,C)))
=> ( hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(Pa,C,F,Ta),D))
=> ( hBOOL(wTrt(Pa,Ha,E_4,E_2,T_2_1))
=> ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_2_1),Ta))
=> hBOOL(wTrt(Pa,Ha,E_4,fAss_list_char(E_1,F,D,E_2),void)) ) ) ) ) ).
fof(fact_1141_WTrt__elim__cases_I1_J,axiom,
! [Pa,Ha,E_4,V,Ea,Ta] :
( hBOOL(wTrt(Pa,Ha,E_4,lAss_list_char(V,Ea),Ta))
=> ~ ( Ta = void
=> ! [T_1] :
( hAPP_l512744617ion_ty(E_4,V) = hAPP_ty_option_ty(some_ty,T_1)
=> ! [T_3] :
( hBOOL(wTrt(Pa,Ha,E_4,Ea,T_3))
=> ~ hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_3),T_1)) ) ) ) ) ).
fof(fact_1142_eval__restrict__lcl,axiom,
! [W,Ea,Ha,L_1,E,H,L,Pa] :
( hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1)),E),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L)))
=> ( hBOOL(ord_le2092826700r_bool(fv(Ea),W))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),restri761823004ar_val(L_1,W))),E),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),restri761823004ar_val(L,W)))) ) ) ) ).
fof(fact_1143_ty_Osimps_I9_J,axiom,
! [List] : hAPP_list_char_ty(class,List) != void ).
fof(fact_1144_ty_Osimps_I8_J,axiom,
! [List] : void != hAPP_list_char_ty(class,List) ).
fof(fact_1145_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_1146_typeof__ClassCast,axiom,
! [Ha] :
( hBOOL(preallocated(Ha))
=> hAPP_val_option_ty(typeof_h(Ha),addr(hAPP_list_char_nat(addr_of_sys_xcpt,classCast))) = hAPP_ty_option_ty(some_ty,hAPP_list_char_ty(class,classCast)) ) ).
fof(fact_1147_ty_Osimps_I20_J,axiom,
! [List] : nt != hAPP_list_char_ty(class,List) ).
fof(fact_1148_ty_Osimps_I21_J,axiom,
! [List] : hAPP_list_char_ty(class,List) != nt ).
fof(fact_1149_ty_Osimps_I7_J,axiom,
nt != void ).
fof(fact_1150_ty_Osimps_I6_J,axiom,
void != nt ).
fof(fact_1151_preallocated__hext,axiom,
! [H,Ha] :
( hBOOL(preallocated(Ha))
=> ( hBOOL(hext(Ha,H))
=> hBOOL(preallocated(H)) ) ) ).
fof(fact_1152_WTrtFAccNT,axiom,
! [F,D,Ta,Pa,Ha,E_4,Ea] :
( hBOOL(wTrt(Pa,Ha,E_4,Ea,nt))
=> hBOOL(wTrt(Pa,Ha,E_4,fAcc_list_char(Ea,F,D),Ta)) ) ).
fof(fact_1153_WTrt_H__WTrts_H_Ointros_I9_J,axiom,
! [F,D,Ta,Pa,Ha,E_4,Ea] :
( hBOOL(wTrt_1(Pa,Ha,E_4,Ea,nt))
=> hBOOL(wTrt_1(Pa,Ha,E_4,fAcc_list_char(Ea,F,D),Ta)) ) ).
fof(fact_1154_is__refT__def,axiom,
! [Ta] :
( hBOOL(is_refT(Ta))
<=> ( Ta = nt
| ? [C_1] : Ta = hAPP_list_char_ty(class,C_1) ) ) ).
fof(fact_1155_preallocated__upd__obj,axiom,
! [Fs_2,A_1,C,Fs_1,Ha] :
( hBOOL(preallocated(Ha))
=> ( hAPP_n546249108on_val(Ha,A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_1))
=> hBOOL(preallocated(fun_up2041264236on_val(Ha,A_1,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_2))))) ) ) ).
fof(fact_1156_default__val_Osimps_I4_J,axiom,
hAPP_ty_val(default_val,nt) = null ).
fof(fact_1157_preallocated__new,axiom,
! [X_2,A_1,Ha] :
( hBOOL(preallocated(Ha))
=> ( hAPP_n546249108on_val(Ha,A_1) = none_P179726773on_val
=> hBOOL(preallocated(fun_up2041264236on_val(Ha,A_1,hAPP_P1510515380on_val(some_P948696889on_val,X_2)))) ) ) ).
fof(fact_1158_WTrtFAssNT,axiom,
! [F,D,E_2,T_2_1,Pa,Ha,E_4,E_1] :
( hBOOL(wTrt(Pa,Ha,E_4,E_1,nt))
=> ( hBOOL(wTrt(Pa,Ha,E_4,E_2,T_2_1))
=> hBOOL(wTrt(Pa,Ha,E_4,fAss_list_char(E_1,F,D,E_2),void)) ) ) ).
fof(fact_1159_WTrt_H__WTrts_H_Ointros_I11_J,axiom,
! [F,D,E_2,T_2_1,Pa,Ha,E_4,E_1] :
( hBOOL(wTrt_1(Pa,Ha,E_4,E_1,nt))
=> ( hBOOL(wTrt_1(Pa,Ha,E_4,E_2,T_2_1))
=> hBOOL(wTrt_1(Pa,Ha,E_4,fAss_list_char(E_1,F,D,E_2),void)) ) ) ).
fof(fact_1160_WTrtCallNT,axiom,
! [M,Ta,Es_1,Tsa,Pa,Ha,E_4,Ea] :
( hBOOL(wTrt(Pa,Ha,E_4,Ea,nt))
=> ( hBOOL(wTrts_1(Pa,Ha,E_4,Es_1,Tsa))
=> hBOOL(wTrt(Pa,Ha,E_4,call_list_char(Ea,M,Es_1),Ta)) ) ) ).
fof(fact_1161_typeof__h_Osimps_I2_J,axiom,
! [Ha] : hAPP_val_option_ty(typeof_h(Ha),null) = hAPP_ty_option_ty(some_ty,nt) ).
fof(fact_1162_WTrt_H__WTrts_H_Ointros_I13_J,axiom,
! [M,Ta,Es_1,Tsa,Pa,Ha,E_4,Ea] :
( hBOOL(wTrt_1(Pa,Ha,E_4,Ea,nt))
=> ( hBOOL(wTrts(Pa,Ha,E_4,Es_1,Tsa))
=> hBOOL(wTrt_1(Pa,Ha,E_4,call_list_char(Ea,M,Es_1),Ta)) ) ) ).
fof(fact_1163_typeof__NullPointer,axiom,
! [Ha] :
( hBOOL(preallocated(Ha))
=> hAPP_val_option_ty(typeof_h(Ha),addr(hAPP_list_char_nat(addr_of_sys_xcpt,nullPointer))) = hAPP_ty_option_ty(some_ty,hAPP_list_char_ty(class,nullPointer)) ) ).
fof(fact_1164_WTrt__elim__cases_I7_J,axiom,
! [Pa,Ha,E_4,Ea,F,D,Ta] :
( hBOOL(wTrt(Pa,Ha,E_4,fAcc_list_char(Ea,F,D),Ta))
=> ( ! [C_1] :
( hBOOL(wTrt(Pa,Ha,E_4,Ea,hAPP_list_char_ty(class,C_1)))
=> ~ hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(Pa,C_1,F,Ta),D)) )
=> hBOOL(wTrt(Pa,Ha,E_4,Ea,nt)) ) ) ).
fof(fact_1165_WTrt__elim__cases_I8_J,axiom,
! [Pa,Ha,E_4,Ea,F,D,V,Ta] :
( hBOOL(wTrt(Pa,Ha,E_4,fAss_list_char(Ea,F,D,V),Ta))
=> ( ( Ta = void
=> ! [C_1] :
( hBOOL(wTrt(Pa,Ha,E_4,Ea,hAPP_list_char_ty(class,C_1)))
=> ! [T_1] :
( hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(Pa,C_1,F,T_1),D))
=> ! [T_2] :
( hBOOL(wTrt(Pa,Ha,E_4,V,T_2))
=> ~ hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_2),T_1)) ) ) ) )
=> ~ ( Ta = void
=> ( hBOOL(wTrt(Pa,Ha,E_4,Ea,nt))
=> ! [T_2] : ~ hBOOL(wTrt(Pa,Ha,E_4,V,T_2)) ) ) ) ) ).
fof(fact_1166_refTE,axiom,
! [T] :
( hBOOL(is_refT(T))
=> ( T != nt
=> ~ ! [C_1] : T != hAPP_list_char_ty(class,C_1) ) ) ).
fof(fact_1167_typeof__OutOfMemory,axiom,
! [Ha] :
( hBOOL(preallocated(Ha))
=> hAPP_val_option_ty(typeof_h(Ha),addr(hAPP_list_char_nat(addr_of_sys_xcpt,outOfMemory))) = hAPP_ty_option_ty(some_ty,hAPP_list_char_ty(class,outOfMemory)) ) ).
fof(fact_1168_sconf__def,axiom,
! [Pa,E_4,S_1] :
( hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(Pa,E_4),S_1))
<=> hBOOL(hAPP_P159683425l_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))),E_4))),S_1)) ) ).
fof(fact_1169_typeof__h_Osimps_I5_J,axiom,
! [Ha,A_1] : hAPP_val_option_ty(typeof_h(Ha),addr(A_1)) = option1388193227on_val(none_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(Ha,A_1)) ).
fof(fact_1170_sys__xcpts__cases,axiom,
! [Pa,C] :
( hBOOL(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_1171_preallocated__def,axiom,
! [Ha] :
( hBOOL(preallocated(Ha))
<=> ! [X_1] :
( hBOOL(member_list_char(X_1,sys_xcpts))
=> ? [Fs] : hAPP_n546249108on_val(Ha,hAPP_list_char_nat(addr_of_sys_xcpt,X_1)) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,X_1),Fs)) ) ) ).
fof(fact_1172_preallocatedD,axiom,
! [C,Ha] :
( hBOOL(preallocated(Ha))
=> ( hBOOL(member_list_char(C,sys_xcpts))
=> ? [Fs] : hAPP_n546249108on_val(Ha,hAPP_list_char_nat(addr_of_sys_xcpt,C)) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs)) ) ) ).
fof(fact_1173_preallocatedE,axiom,
! [Pa,C,Ha] :
( hBOOL(preallocated(Ha))
=> ( hBOOL(member_list_char(C,sys_xcpts))
=> ( ! [Fs] :
( hAPP_n546249108on_val(Ha,hAPP_list_char_nat(addr_of_sys_xcpt,C)) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs))
=> hBOOL(hAPP_list_char_bool(hAPP_f388705405r_bool(Pa,Ha),C)) )
=> hBOOL(hAPP_list_char_bool(hAPP_f388705405r_bool(Pa,Ha),C)) ) ) ) ).
fof(fact_1174_red__reds_ORedNew,axiom,
! [L_1,H,Pa,C,FDTs,Ha,A_1] :
( new_Addr(Ha) = hAPP_nat_option_nat(some_nat,A_1)
=> ( hBOOL(fields1147507508t_char(Pa,C,FDTs))
=> ( H = fun_up2041264236on_val(Ha,A_1,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),hAPP_l968768258on_val(init_fields,FDTs))))
=> hBOOL(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,Ha),L_1))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(A_1))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L_1))),red(Pa))) ) ) ) ).
fof(fact_1175_WTrt__elim__cases_I10_J,axiom,
! [Pa,Ha,E_4,C,Ta] :
( hBOOL(wTrt(Pa,Ha,E_4,new_list_char(C),Ta))
=> ~ ( Ta = hAPP_list_char_ty(class,C)
=> ~ hBOOL(hAPP_list_char_bool(is_cla570604648t_char(Pa),C)) ) ) ).
fof(fact_1176_WTrtNew,axiom,
! [Ha,E_4,Pa,C] :
( hBOOL(hAPP_list_char_bool(is_cla570604648t_char(Pa),C))
=> hBOOL(wTrt(Pa,Ha,E_4,new_list_char(C),hAPP_list_char_ty(class,C))) ) ).
fof(fact_1177_new__Addr__SomeD,axiom,
! [Ha,A_1] :
( new_Addr(Ha) = hAPP_nat_option_nat(some_nat,A_1)
=> hAPP_n546249108on_val(Ha,A_1) = none_P179726773on_val ) ).
fof(fact_1178_WTrt_H__WTrts_H_Ointros_I1_J,axiom,
! [Ha,E_4,Pa,C] :
( hBOOL(hAPP_list_char_bool(is_cla570604648t_char(Pa),C))
=> hBOOL(wTrt_1(Pa,Ha,E_4,new_list_char(C),hAPP_list_char_ty(class,C))) ) ).
fof(fact_1179_NewFail,axiom,
! [Pa,C,L_1,Ha] :
( new_Addr(Ha) = none_nat
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,new_list_char(C),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1)),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(hAPP_list_char_nat(addr_of_sys_xcpt,outOfMemory))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1))) ) ).
fof(fact_1180_redp__redsp_ORedNewFail,axiom,
! [Pa,C,L_1,Ha] :
( new_Addr(Ha) = none_nat
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,new_list_char(C),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1)),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(hAPP_list_char_nat(addr_of_sys_xcpt,outOfMemory))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1))) ) ).
fof(fact_1181_New,axiom,
! [L_1,H,Pa,C,FDTs,Ha,A_1] :
( new_Addr(Ha) = hAPP_nat_option_nat(some_nat,A_1)
=> ( hBOOL(fields1147507508t_char(Pa,C,FDTs))
=> ( H = fun_up2041264236on_val(Ha,A_1,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),hAPP_l968768258on_val(init_fields,FDTs))))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,new_list_char(C),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1)),hAPP_v834067052t_char(val_list_char,addr(A_1))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L_1))) ) ) ) ).
fof(fact_1182_redp__redsp_ORedNew,axiom,
! [L_1,H,Pa,C,FDTs,Ha,A_1] :
( new_Addr(Ha) = hAPP_nat_option_nat(some_nat,A_1)
=> ( hBOOL(fields1147507508t_char(Pa,C,FDTs))
=> ( H = fun_up2041264236on_val(Ha,A_1,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),hAPP_l968768258on_val(init_fields,FDTs))))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,new_list_char(C),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1)),hAPP_v834067052t_char(val_list_char,addr(A_1))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L_1))) ) ) ) ).
fof(fact_1183_red__reds_ORedNewFail,axiom,
! [C,L_1,Pa,Ha] :
( new_Addr(Ha) = none_nat
=> hBOOL(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,Ha),L_1))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(hAPP_list_char_nat(addr_of_sys_xcpt,outOfMemory))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1))),red(Pa))) ) ).
fof(fact_1184_eval__cases_I10_J,axiom,
! [Pa,Ea,E_1,E_2,S_1,E,S] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cond_list_char(Ea,E_1,E_2),S_1),E),S))
=> ( ! [S_1_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1_1))
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_1_1),E),S)) )
=> ( ! [S_1_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),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),S)) )
=> ~ ! [E_3] :
( E = throw_list_char(E_3)
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),throw_list_char(E_3)),S)) ) ) ) ) ).
fof(fact_1185_init__fields__def,axiom,
init_fields = comp_l424027617har_ty(map_of1247784410ar_val,map_Pr1153581243ar_val(produc1553344466ar_val(hAPP_f1668074321ar_val(hAPP_f59905689ar_val(cOMBC_2111366340ar_val,hAPP_f1240485169ar_val(hAPP_f332422699ar_val(cOMBB_388225803t_char,cOMBB_311099133val_ty),produc2036181286ar_val)),default_val)))) ).
fof(fact_1186_cname__of__xcp,axiom,
! [C,Ha] :
( hBOOL(preallocated(Ha))
=> ( hBOOL(member_list_char(C,sys_xcpts))
=> hAPP_P1789965269t_char(produc1230355531on_val,hAPP_o1977518472on_val(the_Pr431167171on_val,hAPP_n546249108on_val(Ha,hAPP_list_char_nat(addr_of_sys_xcpt,C)))) = C ) ) ).
fof(fact_1187_hp__def,axiom,
hp = produc1517998010on_val ).
fof(fact_1188_obj__ty__def,axiom,
! [Obj] : obj_ty(Obj) = hAPP_list_char_ty(class,hAPP_P1789965269t_char(produc1230355531on_val,Obj)) ).
fof(fact_1189_the__Addr_Osimps,axiom,
! [A] : hAPP_val_nat(the_Addr,addr(A)) = A ).
fof(fact_1190_eval__lcl__incr,axiom,
! [Pa,Ea,H_0,L_0,E,H_1,L_1_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_0),L_0)),E),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1),L_1_1)))
=> hBOOL(ord_le2092826700r_bool(dom_list_char_val(L_0),dom_list_char_val(L_1_1))) ) ).
fof(fact_1191_evals__lcl__incr,axiom,
! [Pa,Es_1,H_0,L_0,Es,H_1,L_1_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Es_1,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_0),L_0)),Es),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1),L_1_1)))
=> hBOOL(ord_le2092826700r_bool(dom_list_char_val(L_0),dom_list_char_val(L_1_1))) ) ).
fof(fact_1192_preallocated__dom,axiom,
! [C,Ha] :
( hBOOL(preallocated(Ha))
=> ( hBOOL(member_list_char(C,sys_xcpts))
=> hBOOL(member_nat(hAPP_list_char_nat(addr_of_sys_xcpt,C),dom_na996029170on_val(Ha))) ) ) ).
fof(fact_1193_red__lcl__incr,axiom,
! [Ea,H_0,L_0,E,H_1,L_1_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_0),L_0))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1),L_1_1))),red(Pa)))
=> hBOOL(ord_le2092826700r_bool(dom_list_char_val(L_0),dom_list_char_val(L_1_1))) ) ).
fof(fact_1194_Reds__dom__lcl,axiom,
! [Ea,Ha,L_1,E,H,L,Pa] :
( hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa))
=> ( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Ha),L_1))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L))),transi2024712006on_val(red(Pa))))
=> hBOOL(ord_le2092826700r_bool(dom_list_char_val(L),semila919158006r_bool(dom_list_char_val(L_1),fv(Ea)))) ) ) ).
fof(fact_1195_fv__fvs_Osimps_I11_J,axiom,
! [E_1,E_2] : fv(seq_list_char(E_1,E_2)) = semila919158006r_bool(fv(E_1),fv(E_2)) ).
fof(fact_1196_fv__fvs_Osimps_I8_J,axiom,
! [E_1,F,D,E_2] : fv(fAss_list_char(E_1,F,D,E_2)) = semila919158006r_bool(fv(E_1),fv(E_2)) ).
fof(fact_1197_fv__fvs_Osimps_I4_J,axiom,
! [E_1,Bop,E_2] : fv(binOp_list_char(E_1,Bop,E_2)) = semila919158006r_bool(fv(E_1),fv(E_2)) ).
fof(fact_1198_fv__fvs_Osimps_I12_J,axiom,
! [B,E_1,E_2] : fv(cond_list_char(B,E_1,E_2)) = semila919158006r_bool(semila919158006r_bool(fv(B),fv(E_1)),fv(E_2)) ).
fof(fact_1199_fv__fvs_Osimps_I13_J,axiom,
! [B,Ea] : fv(while_list_char(B,Ea)) = semila919158006r_bool(fv(B),fv(Ea)) ).
%----Helper facts (26)
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_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__Type__Oty_T,axiom,
! [X,Y] :
( ~ hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(fequal_ty,X),Y))
| X = Y ) ).
fof(help_fequal_2_1_fequal_000tc__Type__Oty_T,axiom,
! [X,Y] :
( X != Y
| hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(fequal_ty,X),Y)) ) ).
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_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_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_COMBB_1_1_COMBB_000tc__Value__Oval_000tc__prod_Itc__prod_Itc__List__Olist_I,axiom,
! [P,Q,R] : hAPP_t97533526ar_val(hAPP_f883560141ar_val(hAPP_f1951920661ar_val(cOMBB_311099133val_ty,P),Q),R) = hAPP_v48258637ar_val(P,hAPP_ty_val(Q,R)) ).
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__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_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_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_COMBC_1_1_COMBC_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List,axiom,
! [P,Q,R] : hAPP_P221287148ar_val(hAPP_f1668074321ar_val(hAPP_f59905689ar_val(cOMBC_2111366340ar_val,P),Q),R) = hAPP_f883560141ar_val(hAPP_P289594851ar_val(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_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_COMBB_1_1_COMBB_000tc__fun_Itc__Value__Oval_Mtc__prod_Itc__prod_Itc__List__,axiom,
! [P,Q,R] : hAPP_P289594851ar_val(hAPP_f1240485169ar_val(hAPP_f332422699ar_val(cOMBB_388225803t_char,P),Q),R) = hAPP_f1951920661ar_val(P,hAPP_P1321848547ar_val(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_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_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_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M,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)) ).
%----Conjectures (3)
fof(conj_0,hypothesis,
hAPP_l66428094ar_nat(size_s2113983095t_char,vs_1) = hAPP_list_ty_nat(size_size_list_ty,ts) ).
fof(conj_1,hypothesis,
hAPP_list_val_nat(size_size_list_val,vs) = hAPP_list_ty_nat(size_size_list_ty,ts) ).
fof(conj_2,conjecture,
( hBOOL(wTrt(p,h,e_1,blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,vs_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,ts),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,vs),e)))),t))
<=> ( hBOOL(wTrt(p,h,map_up891053837har_ty(e_1,vs_1,ts),e,t))
& ? [Ts] :
( hAPP_l2006940821ion_ty(map_val_option_ty(typeof_h(h)),vs) = hAPP_l1487035934ion_ty(map_ty_option_ty(some_ty),Ts)
& hBOOL(hAPP_list_ty_bool(list_all2_ty_ty(widen_2090681816t_char(p),Ts),ts)) ) ) ) ).
%------------------------------------------------------------------------------