TPTP Problem File: SWW477+3.p
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%------------------------------------------------------------------------------
% File : SWW477+3 : TPTP v8.2.0. Released v5.3.0.
% Domain : Software Verification
% Problem : Java type soundness line 346, 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_l346 [Bla11]
% Status : Theorem
% Rating : 1.00 v5.3.0
% Syntax : Number of formulae : 1390 ( 547 unt; 0 def)
% Number of atoms : 3041 ( 941 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 2282 ( 631 ~; 14 |; 64 &)
% ( 295 <=>;1278 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 7 avg)
% Maximal term depth : 13 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 0 prp; 1-2 aty)
% Number of functors : 895 ( 895 usr; 258 con; 0-6 aty)
% Number of variables : 5974 (5850 !; 124 ?)
% SPC : FOF_THM_RFO_SEQ
% Comments : This file was generated by Isabelle (most likely Sledgehammer)
% 2011-08-09 18:01:01
% : Encoded with monomorphized guards.
%------------------------------------------------------------------------------
%----Explicit typings (102)
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_List_Odistinct_000tc__List__Olist_Itc__String__Ochar_J,axiom,
! [B_1_1] : is_bool(distinct_list_char(B_1_1)) ).
fof(gsy_c_List_Olist__all2_000tc__Type__Oty_000tc__Type__Oty,axiom,
! [B_1_1,B_2_1,B_3_1] : is_bool(list_all2_ty_ty(B_1_1,B_2_1,B_3_1)) ).
fof(gsy_c_Objects_Ohext,axiom,
! [B_1_1,B_2_1] : is_bool(hext(B_1_1,B_2_1)) ).
fof(gsy_c_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_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_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_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__String__Ochar_J_000tc__HOL__Obool,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_list_char_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__List__Olist_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mt,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_l902158906r_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__Option__Ooption_Itc__Type__Oty_J_000tc__HOL__Obool,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_option_ty_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__Type__Oty_000tc__HOL__Obool,hypothesis,
! [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_001,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_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_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__002,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__String__Ochar_J_Mtc__prod_Itc__List_003,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P1680401186r_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_Itc__List_004,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P1384137393r_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_Itc__List_005,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P659547099r_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__prod_Itc__List__Ol,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P1907982426r_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__prod_Itc__Type__Ot,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P1187139874r_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mtc__Expr__Oexp_Itc__,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P2118621157r_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__prod_Itc__List__Olist_Itc__String__,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P828904212r_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__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___006,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_007,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_008,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P2010574925r_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fun_,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P124632071l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P975284999r_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_009,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P929449287r_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__prod_Itc,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P1240100515r_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mtc__Expr__,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P1183499705r_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__prod_Itc__List__Olist_Itc,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P801803911r_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__Value__Oval_Mtc__Value__Oval_J_Mtc__prod_I,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P2123002749l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_It,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P1221872711l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc_,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P378063101l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc_,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P2028072621l_bool(B_1_1,B_2_1)) ).
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__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__prod_Itc__Expr__Obop_Mtc__prod_Itc__Value__Oval_Mtc__Value__,axiom,
! [B_1_1,B_2_1] : is_bool(member1417904245al_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(member840932460on_val(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(member1972431429on_val(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(member1840112042t_char(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__Ochar_J__010,axiom,
! [B_1_1,B_2_1] : is_bool(member133545693t_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__String__Ochar_J_Mtc__Type__Oty_J,axiom,
! [B_1_1,B_2_1] : is_bool(member503779467har_ty(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fun_Itc__pro,axiom,
! [B_1_1,B_2_1] : is_bool(member1542417277on_val(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_Itc__Li,axiom,
! [B_1_1,B_2_1] : is_bool(member2007117138har_ty(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_Itc__Li_011,axiom,
! [B_1_1,B_2_1] : is_bool(member1467889965t_char(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_Itc__Li_012,axiom,
! [B_1_1,B_2_1] : is_bool(member1601084734t_char(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_Itc__Li_013,axiom,
! [B_1_1,B_2_1] : is_bool(member1771544038t_char(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__prod_Itc__List__,axiom,
! [B_1_1,B_2_1] : is_bool(member140606439t_char(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mtc__Expr__Oexp_Itc,axiom,
! [B_1_1,B_2_1] : is_bool(member699351154t_char(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__prod_Itc__List__Olist_Itc__prod_Itc__List__Olist_Itc__String,axiom,
! [B_1_1,B_2_1] : is_bool(member1379348767t_char(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__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_,axiom,
! [B_1_1,B_2_1] : is_bool(member763590124on_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_014,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_015,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_016,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__String__Ochar_J_Mtc__pr,axiom,
! [B_1_1,B_2_1] : is_bool(member162552852t_char(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__pr_017,axiom,
! [B_1_1,B_2_1] : is_bool(member1607118676t_char(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__List__Olist_Itc__prod_Itc__List__Olist_I,axiom,
! [B_1_1,B_2_1] : is_bool(member1551446420t_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__096P_ME_Mh_A_092_060turnstile_062_Ae_A_058_ANT_096,axiom,
hBOOL(hAPP_ty_bool(wTrt(p,ha,e,ea),nt)) ).
fof(fact_1__096_B_BT_O_AP_ME_Mh_A_092_060turnstile_062_Ae_A_058_AT_A_061_061_062_AEX,axiom,
! [Ta] :
( hBOOL(hAPP_ty_bool(wTrt(p,ha,e,ea),Ta))
=> ? [U_2] :
( hBOOL(hAPP_ty_bool(wTrt(p,h_a,e,e_a),U_2))
& hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(p),U_2),Ta)) ) ) ).
fof(fact_2_assms,axiom,
hBOOL(wf_pro755087577t_char(wf_J_mdecl,p)) ).
fof(fact_3_IH,axiom,
! [Ta,Ea] :
( hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(p,Ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),la)))
=> ( hBOOL(hAPP_ty_bool(wTrt(p,ha,Ea,ea),Ta))
=> ? [U_2] :
( hBOOL(hAPP_ty_bool(wTrt(p,h_a,Ea,e_a),U_2))
& hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(p),U_2),Ta)) ) ) ) ).
fof(fact_4_conf,axiom,
hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(p,e),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),la))) ).
fof(fact_5_wt,axiom,
hBOOL(hAPP_ty_bool(wTrt(p,ha,e,fAss_list_char(ea,f,d,e_2)),t)) ).
fof(fact_6_WTrtFAccNT,axiom,
! [Fa,Da,Ta,Pa,Hb,Ea,Eb] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,Eb),nt))
=> hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,fAcc_list_char(Eb,Fa,Da)),Ta)) ) ).
fof(fact_7_FAssRed1_I2_J,axiom,
! [Ta,Ea] :
( hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(p,Ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),la)))
=> ( hBOOL(hAPP_ty_bool(wTrt(p,ha,Ea,ea),Ta))
=> ? [T_5] :
( hBOOL(hAPP_ty_bool(wTrt(p,h_a,Ea,e_a),T_5))
& hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(p),T_5),Ta)) ) ) ) ).
fof(fact_8_red,axiom,
hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),la))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a))),red(p))) ).
fof(fact_9_ty_Osimps_I25_J,axiom,
! [F1,F2,F3,F4,F5] :
( hBOOL(hAPP_ty_bool(ty_case_bool(F1,F2,F3,F4,F5),nt))
<=> hBOOL(F4) ) ).
fof(fact_10_FAssRed1_I4_J,axiom,
hBOOL(hAPP_ty_bool(wTrt(p,ha,e,fAss_list_char(ea,f,d,e_2)),t)) ).
fof(fact_11_FAssRed1_I3_J,axiom,
hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(p,e),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),la))) ).
fof(fact_12_ty_Osimps_I13_J,axiom,
nt != boolean ).
fof(fact_13_ty_Osimps_I23_J,axiom,
! [F1,F2,F3,F4,F5] :
( hBOOL(hAPP_ty_bool(ty_case_bool(F1,F2,F3,F4,F5),boolean))
<=> hBOOL(F2) ) ).
fof(fact_14_ty_Osimps_I12_J,axiom,
boolean != nt ).
fof(fact_15_red__reds_OFAccRed,axiom,
! [Fa,Da,Eb,S,E_b,S_2,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2)),red(Pa)))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(Eb,Fa,Da)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(E_b,Fa,Da)),S_2)),red(Pa))) ) ).
fof(fact_16_red__reds_OFAssRed1,axiom,
! [Fa,Da,E_2,Eb,S,E_b,S_2,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2)),red(Pa)))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(Eb,Fa,Da,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(E_b,Fa,Da,E_2)),S_2)),red(Pa))) ) ).
fof(fact_17_void,axiom,
t = void ).
fof(fact_18_widen__refl,axiom,
! [P_4,T_10] : hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(P_4),T_10),T_10)) ).
fof(fact_19_red__preserves__hconf,axiom,
! [Ea,Ta,Eb,Hb,Lb,E_b,H_b,L_b,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))),red(Pa)))
=> ( hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,Eb),Ta))
=> ( hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(Pa),Hb))
=> hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(Pa),H_b)) ) ) ) ).
fof(fact_20_red__preserves__lconf,axiom,
! [Ea,Ta,Eb,Hb,Lb,E_b,H_b,L_b,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))),red(Pa)))
=> ( hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,Eb),Ta))
=> ( hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),Hb),Lb),Ea))
=> hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),H_b),L_b),Ea)) ) ) ) ).
fof(fact_21_exp_Osimps_I154_J,axiom,
! [Exp_55,List1_37,List2_37,Exp1_109,List1_36,List2_36,Exp2_109] : fAcc_list_char(Exp_55,List1_37,List2_37) != fAss_list_char(Exp1_109,List1_36,List2_36,Exp2_109) ).
fof(fact_22_exp_Osimps_I155_J,axiom,
! [Exp1_108,List1_35,List2_35,Exp2_108,Exp_54,List1_34,List2_34] : fAss_list_char(Exp1_108,List1_35,List2_35,Exp2_108) != fAcc_list_char(Exp_54,List1_34,List2_34) ).
fof(fact_23_red__preserves__sconf,axiom,
! [Ea,Ta,Eb,S,E_b,S_2,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2)),red(Pa)))
=> ( hBOOL(hAPP_ty_bool(wTrt(Pa,hAPP_P703866694on_val(hp,S),Ea,Eb),Ta))
=> ( hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(Pa,Ea),S))
=> hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(Pa,Ea),S_2)) ) ) ) ).
fof(fact_24_prod__induct5,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_4,D,E_3] : hBOOL(hAPP_P2028072621l_bool(Pa,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_1),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),E_3))))))
=> hBOOL(hAPP_P2028072621l_bool(Pa,X_2)) ) ).
fof(fact_25_prod__induct5,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_4,D,E_3] : hBOOL(hAPP_P378063101l_bool(Pa,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_1),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),E_3))))))
=> hBOOL(hAPP_P378063101l_bool(Pa,X_2)) ) ).
fof(fact_26_prod__induct5,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_4,D,E_3] : hBOOL(hAPP_P824029447r_bool(Pa,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_1),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),E_3))))))
=> hBOOL(hAPP_P824029447r_bool(Pa,X_2)) ) ).
fof(fact_27_prod__induct5,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_4,D,E_3] : hBOOL(hAPP_P975284999r_bool(Pa,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A_1),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,B_1),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,C_4),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,D),E_3))))))
=> hBOOL(hAPP_P975284999r_bool(Pa,X_2)) ) ).
fof(fact_28_prod__induct5,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_4,D,E_3] : hBOOL(hAPP_P1384137393r_bool(Pa,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A_1),hAPP_P976433298t_char(hAPP_l2048923787t_char(produc2016959032t_char,B_1),hAPP_P1661798543t_char(hAPP_t1369077401t_char(produc1545444669t_char,C_4),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,D),E_3))))))
=> hBOOL(hAPP_P1384137393r_bool(Pa,X_2)) ) ).
fof(fact_29_ty_Osimps_I7_J,axiom,
nt != void ).
fof(fact_30_ty_Osimps_I6_J,axiom,
void != nt ).
fof(fact_31_ty_Osimps_I3_J,axiom,
boolean != void ).
fof(fact_32_ty_Osimps_I2_J,axiom,
void != boolean ).
fof(fact_33_ty_Osimps_I22_J,axiom,
! [F1,F2,F3,F4,F5] :
( hBOOL(hAPP_ty_bool(ty_case_bool(F1,F2,F3,F4,F5),void))
<=> hBOOL(F1) ) ).
fof(fact_34_Pair__inject,axiom,
! [A_24,B_4,A_23,B_3] :
( hAPP_P295788316har_ty(hAPP_l848957697har_ty(produc1002914035har_ty,A_24),B_4) = hAPP_P295788316har_ty(hAPP_l848957697har_ty(produc1002914035har_ty,A_23),B_3)
=> ~ ( A_24 = A_23
=> B_4 != B_3 ) ) ).
fof(fact_35_Pair__inject,axiom,
! [A_24,B_4,A_23,B_3] :
( hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,A_24),B_4) = hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,A_23),B_3)
=> ~ ( A_24 = A_23
=> B_4 != B_3 ) ) ).
fof(fact_36_Pair__inject,axiom,
! [A_24,B_4,A_23,B_3] :
( hAPP_P976385092ar_val(hAPP_P800634639ar_val(produc1317546007ar_val,A_24),B_4) = hAPP_P976385092ar_val(hAPP_P800634639ar_val(produc1317546007ar_val,A_23),B_3)
=> ~ ( A_24 = A_23
=> B_4 != B_3 ) ) ).
fof(fact_37_Pair__inject,axiom,
! [A_24,B_4,A_23,B_3] :
( hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,A_24),B_4) = hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,A_23),B_3)
=> ~ ( A_24 = A_23
=> B_4 != B_3 ) ) ).
fof(fact_38_Pair__inject,axiom,
! [A_24,B_4,A_23,B_3] :
( hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,A_24),B_4) = hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,A_23),B_3)
=> ~ ( A_24 = A_23
=> B_4 != B_3 ) ) ).
fof(fact_39_Pair__inject,axiom,
! [A_24,B_4,A_23,B_3] :
( hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,A_24),B_4) = hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,A_23),B_3)
=> ~ ( A_24 = A_23
=> B_4 != B_3 ) ) ).
fof(fact_40_Pair__inject,axiom,
! [A_24,B_4,A_23,B_3] :
( hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A_24),B_4) = hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A_23),B_3)
=> ~ ( A_24 = A_23
=> B_4 != B_3 ) ) ).
fof(fact_41_Pair__inject,axiom,
! [A_24,B_4,A_23,B_3] :
( hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A_24),B_4) = hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A_23),B_3)
=> ~ ( A_24 = A_23
=> B_4 != B_3 ) ) ).
fof(fact_42_Pair__inject,axiom,
! [A,B,A_15,B_2] :
( hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A),B) = hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A_15),B_2)
=> ~ ( A = A_15
=> B != B_2 ) ) ).
fof(fact_43_Pair__inject,axiom,
! [A_24,B_4,A_23,B_3] :
( hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,A_24),B_4) = hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,A_23),B_3)
=> ~ ( A_24 = A_23
=> B_4 != B_3 ) ) ).
fof(fact_44_Pair__inject,axiom,
! [A_24,B_4,A_23,B_3] :
( hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A_24),B_4) = hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A_23),B_3)
=> ~ ( A_24 = A_23
=> B_4 != B_3 ) ) ).
fof(fact_45_Pair__inject,axiom,
! [A_24,B_4,A_23,B_3] :
( hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A_24),B_4) = hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A_23),B_3)
=> ~ ( A_24 = A_23
=> B_4 != B_3 ) ) ).
fof(fact_46_Pair__inject,axiom,
! [A_24,B_4,A_23,B_3] :
( hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_24),B_4) = hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_23),B_3)
=> ~ ( A_24 = A_23
=> B_4 != B_3 ) ) ).
fof(fact_47_Pair__inject,axiom,
! [A_24,B_4,A_23,B_3] :
( hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_24),B_4) = hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_23),B_3)
=> ~ ( A_24 = A_23
=> B_4 != B_3 ) ) ).
fof(fact_48_Pair__inject,axiom,
! [A,B,A_15,B_2] :
( hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A),B) = hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_15),B_2)
=> ~ ( A = A_15
=> B != B_2 ) ) ).
fof(fact_49_Pair__inject,axiom,
! [A,B,A_15,B_2] :
( hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A),B) = hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_15),B_2)
=> ~ ( A = A_15
=> B != B_2 ) ) ).
fof(fact_50_Pair__inject,axiom,
! [A,B,A_15,B_2] :
( hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A),B) = hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A_15),B_2)
=> ~ ( A = A_15
=> B != B_2 ) ) ).
fof(fact_51_Pair__inject,axiom,
! [A_24,B_4,A_23,B_3] :
( hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,A_24),B_4) = hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,A_23),B_3)
=> ~ ( A_24 = A_23
=> B_4 != B_3 ) ) ).
fof(fact_52_Pair__inject,axiom,
! [A_24,B_4,A_23,B_3] :
( hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A_24),B_4) = hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A_23),B_3)
=> ~ ( A_24 = A_23
=> B_4 != B_3 ) ) ).
fof(fact_53_Pair__inject,axiom,
! [A,B,A_15,B_2] :
( hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A),B) = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_15),B_2)
=> ~ ( A = A_15
=> B != B_2 ) ) ).
fof(fact_54_Pair__inject,axiom,
! [A,B,A_15,B_2] :
( hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B) = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_15),B_2)
=> ~ ( A = A_15
=> B != B_2 ) ) ).
fof(fact_55_Pair__inject,axiom,
! [A,B,A_15,B_2] :
( hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A),B) = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_15),B_2)
=> ~ ( A = A_15
=> B != B_2 ) ) ).
fof(fact_56_Pair__inject,axiom,
! [A,B,A_15,B_2] :
( hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B) = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_15),B_2)
=> ~ ( A = A_15
=> B != B_2 ) ) ).
fof(fact_57_Pair__inject,axiom,
! [A,B,A_15,B_2] :
( hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A),B) = hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_15),B_2)
=> ~ ( A = A_15
=> B != B_2 ) ) ).
fof(fact_58_Pair__inject,axiom,
! [A_24,B_4,A_23,B_3] :
( hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_24),B_4) = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_23),B_3)
=> ~ ( A_24 = A_23
=> B_4 != B_3 ) ) ).
fof(fact_59_Pair__inject,axiom,
! [A_24,B_4,A_23,B_3] :
( hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_24),B_4) = hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_23),B_3)
=> ~ ( A_24 = A_23
=> B_4 != B_3 ) ) ).
fof(fact_60_Pair__inject,axiom,
! [A_24,B_4,A_23,B_3] :
( hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_24),B_4) = hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_23),B_3)
=> ~ ( A_24 = A_23
=> B_4 != B_3 ) ) ).
fof(fact_61_Pair__inject,axiom,
! [A_24,B_4,A_23,B_3] :
( ( is_bop(A_24)
& is_bop(A_23) )
=> ( hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_24),B_4) = hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_23),B_3)
=> ~ ( A_24 = A_23
=> B_4 != B_3 ) ) ) ).
fof(fact_62_Pair__inject,axiom,
! [A_24,B_4,A_23,B_3] :
( hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_24),B_4) = hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_23),B_3)
=> ~ ( A_24 = A_23
=> B_4 != B_3 ) ) ).
fof(fact_63_Pair__inject,axiom,
! [A,B,A_15,B_2] :
( hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A),B) = hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_15),B_2)
=> ~ ( A = A_15
=> B != B_2 ) ) ).
fof(fact_64_Pair__inject,axiom,
! [A_24,B_4,A_23,B_3] :
( hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_24),B_4) = hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_23),B_3)
=> ~ ( A_24 = A_23
=> B_4 != B_3 ) ) ).
fof(fact_65_Pair__inject,axiom,
! [A_24,B_4,A_23,B_3] :
( hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_24),B_4) = hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_23),B_3)
=> ~ ( A_24 = A_23
=> B_4 != B_3 ) ) ).
fof(fact_66_Pair__inject,axiom,
! [A_24,B_4,A_23,B_3] :
( hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_24),B_4) = hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_23),B_3)
=> ~ ( A_24 = A_23
=> B_4 != B_3 ) ) ).
fof(fact_67_Pair__inject,axiom,
! [A_24,B_4,A_23,B_3] :
( hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_24),B_4) = hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_23),B_3)
=> ~ ( A_24 = A_23
=> B_4 != B_3 ) ) ).
fof(fact_68_Pair__inject,axiom,
! [A_24,B_4,A_23,B_3] :
( hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_24),B_4) = hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_23),B_3)
=> ~ ( A_24 = A_23
=> B_4 != B_3 ) ) ).
fof(fact_69_Pair__inject,axiom,
! [A_24,B_4,A_23,B_3] :
( hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,A_24),B_4) = hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,A_23),B_3)
=> ~ ( A_24 = A_23
=> B_4 != B_3 ) ) ).
fof(fact_70_Pair__eq,axiom,
! [A,B,A_15,B_2] :
( hAPP_P295788316har_ty(hAPP_l848957697har_ty(produc1002914035har_ty,A),B) = hAPP_P295788316har_ty(hAPP_l848957697har_ty(produc1002914035har_ty,A_15),B_2)
<=> ( A = A_15
& B = B_2 ) ) ).
fof(fact_71_Pair__eq,axiom,
! [A,B,A_15,B_2] :
( hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,A),B) = hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,A_15),B_2)
<=> ( A = A_15
& B = B_2 ) ) ).
fof(fact_72_Pair__eq,axiom,
! [A,B,A_15,B_2] :
( hAPP_P976385092ar_val(hAPP_P800634639ar_val(produc1317546007ar_val,A),B) = hAPP_P976385092ar_val(hAPP_P800634639ar_val(produc1317546007ar_val,A_15),B_2)
<=> ( A = A_15
& B = B_2 ) ) ).
fof(fact_73_Pair__eq,axiom,
! [A,B,A_15,B_2] :
( hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,A),B) = hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,A_15),B_2)
<=> ( A = A_15
& B = B_2 ) ) ).
fof(fact_74_Pair__eq,axiom,
! [A,B,A_15,B_2] :
( hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,A),B) = hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,A_15),B_2)
<=> ( A = A_15
& B = B_2 ) ) ).
fof(fact_75_Pair__eq,axiom,
! [A,B,A_15,B_2] :
( hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,A),B) = hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,A_15),B_2)
<=> ( A = A_15
& B = B_2 ) ) ).
fof(fact_76_Pair__eq,axiom,
! [A,B,A_15,B_2] :
( hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A),B) = hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A_15),B_2)
<=> ( A = A_15
& B = B_2 ) ) ).
fof(fact_77_Pair__eq,axiom,
! [A,B,A_15,B_2] :
( hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A),B) = hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A_15),B_2)
<=> ( A = A_15
& B = B_2 ) ) ).
fof(fact_78_Pair__eq,axiom,
! [A,B,A_15,B_2] :
( hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A),B) = hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A_15),B_2)
<=> ( A = A_15
& B = B_2 ) ) ).
fof(fact_79_Pair__eq,axiom,
! [A,B,A_15,B_2] :
( hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,A),B) = hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,A_15),B_2)
<=> ( A = A_15
& B = B_2 ) ) ).
fof(fact_80_Pair__eq,axiom,
! [A,B,A_15,B_2] :
( hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A),B) = hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A_15),B_2)
<=> ( A = A_15
& B = B_2 ) ) ).
fof(fact_81_Pair__eq,axiom,
! [A,B,A_15,B_2] :
( hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A),B) = hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A_15),B_2)
<=> ( A = A_15
& B = B_2 ) ) ).
fof(fact_82_Pair__eq,axiom,
! [A,B,A_15,B_2] :
( hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A),B) = hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_15),B_2)
<=> ( A = A_15
& B = B_2 ) ) ).
fof(fact_83_Pair__eq,axiom,
! [A,B,A_15,B_2] :
( hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A),B) = hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_15),B_2)
<=> ( A = A_15
& B = B_2 ) ) ).
fof(fact_84_Pair__eq,axiom,
! [A,B,A_15,B_2] :
( hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A),B) = hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_15),B_2)
<=> ( A = A_15
& B = B_2 ) ) ).
fof(fact_85_Pair__eq,axiom,
! [A,B,A_15,B_2] :
( hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A),B) = hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_15),B_2)
<=> ( A = A_15
& B = B_2 ) ) ).
fof(fact_86_Pair__eq,axiom,
! [A,B,A_15,B_2] :
( hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A),B) = hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A_15),B_2)
<=> ( A = A_15
& B = B_2 ) ) ).
fof(fact_87_Pair__eq,axiom,
! [A,B,A_15,B_2] :
( hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,A),B) = hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,A_15),B_2)
<=> ( A = A_15
& B = B_2 ) ) ).
fof(fact_88_Pair__eq,axiom,
! [A,B,A_15,B_2] :
( hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A),B) = hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A_15),B_2)
<=> ( A = A_15
& B = B_2 ) ) ).
fof(fact_89_Pair__eq,axiom,
! [A,B,A_15,B_2] :
( hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A),B) = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_15),B_2)
<=> ( A = A_15
& B = B_2 ) ) ).
fof(fact_90_Pair__eq,axiom,
! [A,B,A_15,B_2] :
( hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B) = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_15),B_2)
<=> ( A = A_15
& B = B_2 ) ) ).
fof(fact_91_Pair__eq,axiom,
! [A,B,A_15,B_2] :
( hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A),B) = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_15),B_2)
<=> ( A = A_15
& B = B_2 ) ) ).
fof(fact_92_Pair__eq,axiom,
! [A,B,A_15,B_2] :
( hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B) = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_15),B_2)
<=> ( A = A_15
& B = B_2 ) ) ).
fof(fact_93_Pair__eq,axiom,
! [A,B,A_15,B_2] :
( hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A),B) = hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_15),B_2)
<=> ( A = A_15
& B = B_2 ) ) ).
fof(fact_94_Pair__eq,axiom,
! [A,B,A_15,B_2] :
( hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A),B) = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_15),B_2)
<=> ( A = A_15
& B = B_2 ) ) ).
fof(fact_95_Pair__eq,axiom,
! [A,B,A_15,B_2] :
( hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A),B) = hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_15),B_2)
<=> ( A = A_15
& B = B_2 ) ) ).
fof(fact_96_Pair__eq,axiom,
! [A,B,A_15,B_2] :
( hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A),B) = hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_15),B_2)
<=> ( A = A_15
& B = B_2 ) ) ).
fof(fact_97_Pair__eq,axiom,
! [A,B,A_15,B_2] :
( ( is_bop(A)
& is_bop(A_15) )
=> ( hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A),B) = hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_15),B_2)
<=> ( A = A_15
& B = B_2 ) ) ) ).
fof(fact_98_Pair__eq,axiom,
! [A,B,A_15,B_2] :
( hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),B) = hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_15),B_2)
<=> ( A = A_15
& B = B_2 ) ) ).
fof(fact_99_Pair__eq,axiom,
! [A,B,A_15,B_2] :
( hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A),B) = hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_15),B_2)
<=> ( A = A_15
& B = B_2 ) ) ).
fof(fact_100_Pair__eq,axiom,
! [A,B,A_15,B_2] :
( hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B) = hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_15),B_2)
<=> ( A = A_15
& B = B_2 ) ) ).
fof(fact_101_Pair__eq,axiom,
! [A,B,A_15,B_2] :
( hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A),B) = hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_15),B_2)
<=> ( A = A_15
& B = B_2 ) ) ).
fof(fact_102_Pair__eq,axiom,
! [A,B,A_15,B_2] :
( hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A),B) = hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_15),B_2)
<=> ( A = A_15
& B = B_2 ) ) ).
fof(fact_103_Pair__eq,axiom,
! [A,B,A_15,B_2] :
( hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A),B) = hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_15),B_2)
<=> ( A = A_15
& B = B_2 ) ) ).
fof(fact_104_Pair__eq,axiom,
! [A,B,A_15,B_2] :
( hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A),B) = hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_15),B_2)
<=> ( A = A_15
& B = B_2 ) ) ).
fof(fact_105_Pair__eq,axiom,
! [A,B,A_15,B_2] :
( hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,A),B) = hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,A_15),B_2)
<=> ( A = A_15
& B = B_2 ) ) ).
fof(fact_106_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P831231943y_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P831231943y_bool(Pa,hAPP_P295788316har_ty(hAPP_l848957697har_ty(produc1002914035har_ty,A_1),B_1))) ) ).
fof(fact_107_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P748443392y_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P748443392y_bool(Pa,hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,A_1),B_1))) ) ).
fof(fact_108_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P439015943l_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P439015943l_bool(Pa,hAPP_P976385092ar_val(hAPP_P800634639ar_val(produc1317546007ar_val,A_1),B_1))) ) ).
fof(fact_109_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P1002912327r_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P1002912327r_bool(Pa,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,A_1),B_1))) ) ).
fof(fact_110_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P801803911r_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P801803911r_bool(Pa,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,A_1),B_1))) ) ).
fof(fact_111_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P929449287r_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P929449287r_bool(Pa,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,A_1),B_1))) ) ).
fof(fact_112_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P975284999r_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P975284999r_bool(Pa,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A_1),B_1))) ) ).
fof(fact_113_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P2010574925r_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P2010574925r_bool(Pa,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A_1),B_1))) ) ).
fof(fact_114_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P124632071l_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P124632071l_bool(Pa,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A_1),B_1))) ) ).
fof(fact_115_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P2123002749l_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P2123002749l_bool(Pa,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,A_1),B_1))) ) ).
fof(fact_116_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P738987199l_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P738987199l_bool(Pa,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A_1),B_1))) ) ).
fof(fact_117_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P1183499705r_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P1183499705r_bool(Pa,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A_1),B_1))) ) ).
fof(fact_118_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P1240100515r_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P1240100515r_bool(Pa,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_1),B_1))) ) ).
fof(fact_119_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P824029447r_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P824029447r_bool(Pa,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_1),B_1))) ) ).
fof(fact_120_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P2028072621l_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P2028072621l_bool(Pa,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_1),B_1))) ) ).
fof(fact_121_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P378063101l_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P378063101l_bool(Pa,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_1),B_1))) ) ).
fof(fact_122_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P1221872711l_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P1221872711l_bool(Pa,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A_1),B_1))) ) ).
fof(fact_123_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P27757617y_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P27757617y_bool(Pa,hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,A_1),B_1))) ) ).
fof(fact_124_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P1384137393r_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P1384137393r_bool(Pa,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A_1),B_1))) ) ).
fof(fact_125_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P159683425l_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P159683425l_bool(Pa,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_1),B_1))) ) ).
fof(fact_126_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P282169671l_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P282169671l_bool(Pa,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),B_1))) ) ).
fof(fact_127_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P1708370145l_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P1708370145l_bool(Pa,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_1),B_1))) ) ).
fof(fact_128_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P1333315679l_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P1333315679l_bool(Pa,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),B_1))) ) ).
fof(fact_129_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P71593144l_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P71593144l_bool(Pa,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_1),B_1))) ) ).
fof(fact_130_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P92196306r_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P92196306r_bool(Pa,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),B_1))) ) ).
fof(fact_131_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P1907982426r_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P1907982426r_bool(Pa,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_1),B_1))) ) ).
fof(fact_132_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P2118621157r_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P2118621157r_bool(Pa,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_1),B_1))) ) ).
fof(fact_133_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P943837928l_bool(Pa,X1))
<=> ! [A_1,B_1] :
( is_bop(A_1)
=> hBOOL(hAPP_P943837928l_bool(Pa,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_1),B_1))) ) ) ).
fof(fact_134_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P929938951l_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P929938951l_bool(Pa,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),B_1))) ) ).
fof(fact_135_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P1235399154l_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P1235399154l_bool(Pa,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_1),B_1))) ) ).
fof(fact_136_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P449474095r_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P449474095r_bool(Pa,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),B_1))) ) ).
fof(fact_137_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P1680401186r_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P1680401186r_bool(Pa,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),B_1))) ) ).
fof(fact_138_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P659547099r_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P659547099r_bool(Pa,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_1),B_1))) ) ).
fof(fact_139_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P828904212r_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P828904212r_bool(Pa,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_1),B_1))) ) ).
fof(fact_140_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P2014166431r_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P2014166431r_bool(Pa,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_1),B_1))) ) ).
fof(fact_141_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P1070896250l_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P1070896250l_bool(Pa,hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,A_1),B_1))) ) ).
fof(fact_142_widen__trans,axiom,
! [T_9,P_3,S_5,U_1] :
( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(P_3),S_5),U_1))
=> ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(P_3),U_1),T_9))
=> hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(P_3),S_5),T_9)) ) ) ).
fof(fact_143_exp_Osimps_I8_J,axiom,
! [Exp1_61,List1_33,List2_33,Exp2_61,Exp1_60,List1_32,List2_32,Exp2_60] :
( fAss_list_char(Exp1_61,List1_33,List2_33,Exp2_61) = fAss_list_char(Exp1_60,List1_32,List2_32,Exp2_60)
<=> ( Exp1_61 = Exp1_60
& List1_33 = List1_32
& List2_33 = List2_32
& Exp2_61 = Exp2_60 ) ) ).
fof(fact_144_exp_Osimps_I7_J,axiom,
! [Exp_29,List1_33,List2_33,Exp_28,List1_32,List2_32] :
( fAcc_list_char(Exp_29,List1_33,List2_33) = fAcc_list_char(Exp_28,List1_32,List2_32)
<=> ( Exp_29 = Exp_28
& List1_33 = List1_32
& List2_33 = List2_32 ) ) ).
fof(fact_145_WTrtFAssNT,axiom,
! [Fa,Da,E_2,T_2,Pa,Hb,Ea,E_1] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,E_1),nt))
=> ( hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,E_2),T_2))
=> hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,fAss_list_char(E_1,Fa,Da,E_2)),void)) ) ) ).
fof(fact_146_prod__cases5,axiom,
! [Y_3] :
~ ! [A_1,B_1,C_4,D,E_3] : Y_3 != hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_1),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),E_3)))) ).
fof(fact_147_prod__cases5,axiom,
! [Y_3] :
~ ! [A_1,B_1,C_4,D,E_3] : Y_3 != hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_1),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),E_3)))) ).
fof(fact_148_prod__cases5,axiom,
! [Y_6] :
~ ! [A_1,B_1,C_4,D,E_3] : Y_6 != hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_1),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),E_3)))) ).
fof(fact_149_prod__cases5,axiom,
! [Y_6] :
~ ! [A_1,B_1,C_4,D,E_3] : Y_6 != hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A_1),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,B_1),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,C_4),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,D),E_3)))) ).
fof(fact_150_prod__cases5,axiom,
! [Y_6] :
~ ! [A_1,B_1,C_4,D,E_3] : Y_6 != hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A_1),hAPP_P976433298t_char(hAPP_l2048923787t_char(produc2016959032t_char,B_1),hAPP_P1661798543t_char(hAPP_t1369077401t_char(produc1545444669t_char,C_4),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,D),E_3)))) ).
fof(fact_151_prod__cases4,axiom,
! [Y_5] :
~ ! [A_1,B_1,C_4,D] : Y_5 != hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A_1),hAPP_P976433298t_char(hAPP_l2048923787t_char(produc2016959032t_char,B_1),hAPP_P1661798543t_char(hAPP_t1369077401t_char(produc1545444669t_char,C_4),D))) ).
fof(fact_152_prod__cases4,axiom,
! [Y_3] :
~ ! [A_1,B_1,C_4,D] : Y_3 != hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,C_4),D))) ).
fof(fact_153_prod__cases4,axiom,
! [Y_3] :
~ ! [A_1,B_1,C_4,D] : Y_3 != hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,B_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,C_4),D))) ).
fof(fact_154_prod__cases4,axiom,
! [Y_5] :
~ ! [A_1,B_1,C_4,D] : Y_5 != hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,B_1),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,C_4),D))) ).
fof(fact_155_prod__cases4,axiom,
! [Y_5] :
~ ! [A_1,B_1,C_4,D] : Y_5 != hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,B_1),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,C_4),D))) ).
fof(fact_156_prod__cases4,axiom,
! [Y_3] :
~ ! [A_1,B_1,C_4,D] : Y_3 != hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_1),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B_1),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,C_4),D))) ).
fof(fact_157_prod__cases4,axiom,
! [Y_3] :
~ ! [A_1,B_1,C_4,D] : Y_3 != hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_1),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B_1),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,C_4),D))) ).
fof(fact_158_prod__cases4,axiom,
! [Y_5] :
~ ! [A_1,B_1,C_4,D] : Y_5 != hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_1),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,B_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,C_4),D))) ).
fof(fact_159_prod__cases4,axiom,
! [Y_5] :
~ ! [A_1,B_1,C_4,D] : Y_5 != hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,B_1),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,C_4),D))) ).
fof(fact_160_prod__cases4,axiom,
! [Y_5] :
~ ! [A_1,B_1,C_4,D] :
( is_bop(B_1)
=> Y_5 != hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A_1),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,B_1),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,C_4),D))) ) ).
fof(fact_161_prod__cases4,axiom,
! [Y_5] :
~ ! [A_1,B_1,C_4,D] : Y_5 != hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A_1),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,B_1),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,C_4),D))) ).
fof(fact_162_prod__cases4,axiom,
! [Y_5] :
~ ! [A_1,B_1,C_4,D] : Y_5 != hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,A_1),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,B_1),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,C_4),D))) ).
fof(fact_163_prod__induct4,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_4,D] : hBOOL(hAPP_P1384137393r_bool(Pa,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A_1),hAPP_P976433298t_char(hAPP_l2048923787t_char(produc2016959032t_char,B_1),hAPP_P1661798543t_char(hAPP_t1369077401t_char(produc1545444669t_char,C_4),D)))))
=> hBOOL(hAPP_P1384137393r_bool(Pa,X_2)) ) ).
fof(fact_164_prod__induct4,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_4,D] : hBOOL(hAPP_P282169671l_bool(Pa,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,C_4),D)))))
=> hBOOL(hAPP_P282169671l_bool(Pa,X_2)) ) ).
fof(fact_165_prod__induct4,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_4,D] : hBOOL(hAPP_P1333315679l_bool(Pa,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,B_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,C_4),D)))))
=> hBOOL(hAPP_P1333315679l_bool(Pa,X_2)) ) ).
fof(fact_166_prod__induct4,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_4,D] : hBOOL(hAPP_P92196306r_bool(Pa,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,B_1),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,C_4),D)))))
=> hBOOL(hAPP_P92196306r_bool(Pa,X_2)) ) ).
fof(fact_167_prod__induct4,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_4,D] : hBOOL(hAPP_P1680401186r_bool(Pa,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,B_1),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,C_4),D)))))
=> hBOOL(hAPP_P1680401186r_bool(Pa,X_2)) ) ).
fof(fact_168_prod__induct4,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_4,D] : hBOOL(hAPP_P378063101l_bool(Pa,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_1),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B_1),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,C_4),D)))))
=> hBOOL(hAPP_P378063101l_bool(Pa,X_2)) ) ).
fof(fact_169_prod__induct4,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_4,D] : hBOOL(hAPP_P2028072621l_bool(Pa,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_1),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B_1),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,C_4),D)))))
=> hBOOL(hAPP_P2028072621l_bool(Pa,X_2)) ) ).
fof(fact_170_prod__induct4,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_4,D] : hBOOL(hAPP_P824029447r_bool(Pa,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_1),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,B_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,C_4),D)))))
=> hBOOL(hAPP_P824029447r_bool(Pa,X_2)) ) ).
fof(fact_171_prod__induct4,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_4,D] : hBOOL(hAPP_P1240100515r_bool(Pa,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,B_1),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,C_4),D)))))
=> hBOOL(hAPP_P1240100515r_bool(Pa,X_2)) ) ).
fof(fact_172_prod__induct4,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_4,D] :
( is_bop(B_1)
=> hBOOL(hAPP_P738987199l_bool(Pa,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A_1),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,B_1),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,C_4),D))))) )
=> hBOOL(hAPP_P738987199l_bool(Pa,X_2)) ) ).
fof(fact_173_prod__induct4,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_4,D] : hBOOL(hAPP_P975284999r_bool(Pa,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A_1),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,B_1),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,C_4),D)))))
=> hBOOL(hAPP_P975284999r_bool(Pa,X_2)) ) ).
fof(fact_174_prod__induct4,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_4,D] : hBOOL(hAPP_P929449287r_bool(Pa,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,A_1),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,B_1),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,C_4),D)))))
=> hBOOL(hAPP_P929449287r_bool(Pa,X_2)) ) ).
fof(fact_175_prod__cases3,axiom,
! [Y_4] :
~ ! [A_1,B_1,C_4] : Y_4 != hAPP_P295788316har_ty(hAPP_l848957697har_ty(produc1002914035har_ty,A_1),hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,B_1),C_4)) ).
fof(fact_176_prod__cases3,axiom,
! [Y_4] :
~ ! [A_1,B_1,C_4] : Y_4 != hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A_1),hAPP_P976433298t_char(hAPP_l2048923787t_char(produc2016959032t_char,B_1),C_4)) ).
fof(fact_177_prod__cases3,axiom,
! [Y_3] :
~ ! [A_1,B_1,C_4] : Y_3 != hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B_1),C_4)) ).
fof(fact_178_prod__cases3,axiom,
! [Y_3] :
~ ! [A_1,B_1,C_4] : Y_3 != hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,B_1),C_4)) ).
fof(fact_179_prod__cases3,axiom,
! [Y_3] :
~ ! [A_1,B_1,C_4] : Y_3 != hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,B_1),C_4)) ).
fof(fact_180_prod__cases3,axiom,
! [Y_3] :
~ ! [A_1,B_1,C_4] : Y_3 != hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,B_1),C_4)) ).
fof(fact_181_prod__cases3,axiom,
! [Y_4] :
~ ! [A_1,B_1,C_4] : Y_4 != hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,B_1),C_4)) ).
fof(fact_182_prod__cases3,axiom,
! [Y_4] :
~ ! [A_1,B_1,C_4] : Y_4 != hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_1),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,B_1),C_4)) ).
fof(fact_183_prod__cases3,axiom,
! [Y_4] :
~ ! [A_1,B_1,C_4] :
( is_bop(A_1)
=> Y_4 != hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_1),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,B_1),C_4)) ) ).
fof(fact_184_prod__cases3,axiom,
! [Y_4] :
~ ! [A_1,B_1,C_4] : Y_4 != hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,B_1),C_4)) ).
fof(fact_185_prod__cases3,axiom,
! [Y_4] :
~ ! [A_1,B_1,C_4] : Y_4 != hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_1),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,B_1),C_4)) ).
fof(fact_186_prod__cases3,axiom,
! [Y_3] :
~ ! [A_1,B_1,C_4] : Y_3 != hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,B_1),C_4)) ).
fof(fact_187_prod__cases3,axiom,
! [Y_3] :
~ ! [A_1,B_1,C_4] : Y_3 != hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_1),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B_1),C_4)) ).
fof(fact_188_prod__cases3,axiom,
! [Y_3] :
~ ! [A_1,B_1,C_4] : Y_3 != hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_1),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B_1),C_4)) ).
fof(fact_189_prod__cases3,axiom,
! [Y_4] :
~ ! [A_1,B_1,C_4] : Y_4 != hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_1),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,B_1),C_4)) ).
fof(fact_190_prod__cases3,axiom,
! [Y_4] :
~ ! [A_1,B_1,C_4] : Y_4 != hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,B_1),C_4)) ).
fof(fact_191_prod__cases3,axiom,
! [Y_4] :
~ ! [A_1,B_1,C_4] : Y_4 != hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A_1),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,B_1),C_4)) ).
fof(fact_192_prod__cases3,axiom,
! [Y_4] :
~ ! [A_1,B_1,C_4] :
( is_bop(B_1)
=> Y_4 != hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A_1),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,B_1),C_4)) ) ).
fof(fact_193_prod__cases3,axiom,
! [Y_4] :
~ ! [A_1,B_1,C_4] : Y_4 != hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,A_1),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,B_1),C_4)) ).
fof(fact_194_prod__cases3,axiom,
! [Y_3] :
~ ! [A_1,B_1,C_4] : Y_3 != hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A_1),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,B_1),C_4)) ).
fof(fact_195_prod__cases3,axiom,
! [Y_4] :
~ ! [A_1,B_1,C_4] : Y_4 != hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A_1),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,B_1),C_4)) ).
fof(fact_196_prod__cases3,axiom,
! [Y_4] :
~ ! [A_1,B_1,C_4] : Y_4 != hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A_1),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,B_1),C_4)) ).
fof(fact_197_prod__cases3,axiom,
! [Y_4] :
~ ! [A_1,B_1,C_4] : Y_4 != hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,A_1),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,B_1),C_4)) ).
fof(fact_198_prod__cases3,axiom,
! [Y_4] :
~ ! [A_1,B_1,C_4] : Y_4 != hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,A_1),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,B_1),C_4)) ).
fof(fact_199_prod__cases3,axiom,
! [Y_4] :
~ ! [A_1,B_1,C_4] : Y_4 != hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,A_1),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,B_1),C_4)) ).
fof(fact_200_prod__cases3,axiom,
! [Y_4] :
~ ! [A_1,B_1,C_4] : Y_4 != hAPP_P976385092ar_val(hAPP_P800634639ar_val(produc1317546007ar_val,A_1),hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,B_1),C_4)) ).
fof(fact_201_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_4] : hBOOL(hAPP_P831231943y_bool(Pa,hAPP_P295788316har_ty(hAPP_l848957697har_ty(produc1002914035har_ty,A_1),hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,B_1),C_4))))
=> hBOOL(hAPP_P831231943y_bool(Pa,X_2)) ) ).
fof(fact_202_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_4] : hBOOL(hAPP_P1384137393r_bool(Pa,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A_1),hAPP_P976433298t_char(hAPP_l2048923787t_char(produc2016959032t_char,B_1),C_4))))
=> hBOOL(hAPP_P1384137393r_bool(Pa,X_2)) ) ).
fof(fact_203_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_4] : hBOOL(hAPP_P282169671l_bool(Pa,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B_1),C_4))))
=> hBOOL(hAPP_P282169671l_bool(Pa,X_2)) ) ).
fof(fact_204_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_4] : hBOOL(hAPP_P1708370145l_bool(Pa,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,B_1),C_4))))
=> hBOOL(hAPP_P1708370145l_bool(Pa,X_2)) ) ).
fof(fact_205_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_4] : hBOOL(hAPP_P1333315679l_bool(Pa,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,B_1),C_4))))
=> hBOOL(hAPP_P1333315679l_bool(Pa,X_2)) ) ).
fof(fact_206_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_4] : hBOOL(hAPP_P71593144l_bool(Pa,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,B_1),C_4))))
=> hBOOL(hAPP_P71593144l_bool(Pa,X_2)) ) ).
fof(fact_207_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_4] : hBOOL(hAPP_P92196306r_bool(Pa,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,B_1),C_4))))
=> hBOOL(hAPP_P92196306r_bool(Pa,X_2)) ) ).
fof(fact_208_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_4] : hBOOL(hAPP_P1907982426r_bool(Pa,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_1),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,B_1),C_4))))
=> hBOOL(hAPP_P1907982426r_bool(Pa,X_2)) ) ).
fof(fact_209_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_4] :
( is_bop(A_1)
=> hBOOL(hAPP_P943837928l_bool(Pa,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_1),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,B_1),C_4)))) )
=> hBOOL(hAPP_P943837928l_bool(Pa,X_2)) ) ).
fof(fact_210_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_4] : hBOOL(hAPP_P1680401186r_bool(Pa,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,B_1),C_4))))
=> hBOOL(hAPP_P1680401186r_bool(Pa,X_2)) ) ).
fof(fact_211_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_4] : hBOOL(hAPP_P659547099r_bool(Pa,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_1),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,B_1),C_4))))
=> hBOOL(hAPP_P659547099r_bool(Pa,X_2)) ) ).
fof(fact_212_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_4] : hBOOL(hAPP_P1221872711l_bool(Pa,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,B_1),C_4))))
=> hBOOL(hAPP_P1221872711l_bool(Pa,X_2)) ) ).
fof(fact_213_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_4] : hBOOL(hAPP_P378063101l_bool(Pa,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_1),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B_1),C_4))))
=> hBOOL(hAPP_P378063101l_bool(Pa,X_2)) ) ).
fof(fact_214_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_4] : hBOOL(hAPP_P2028072621l_bool(Pa,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_1),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B_1),C_4))))
=> hBOOL(hAPP_P2028072621l_bool(Pa,X_2)) ) ).
fof(fact_215_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_4] : hBOOL(hAPP_P824029447r_bool(Pa,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_1),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,B_1),C_4))))
=> hBOOL(hAPP_P824029447r_bool(Pa,X_2)) ) ).
fof(fact_216_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_4] : hBOOL(hAPP_P1240100515r_bool(Pa,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,B_1),C_4))))
=> hBOOL(hAPP_P1240100515r_bool(Pa,X_2)) ) ).
fof(fact_217_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_4] : hBOOL(hAPP_P1183499705r_bool(Pa,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A_1),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,B_1),C_4))))
=> hBOOL(hAPP_P1183499705r_bool(Pa,X_2)) ) ).
fof(fact_218_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_4] :
( is_bop(B_1)
=> hBOOL(hAPP_P738987199l_bool(Pa,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A_1),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,B_1),C_4)))) )
=> hBOOL(hAPP_P738987199l_bool(Pa,X_2)) ) ).
fof(fact_219_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_4] : hBOOL(hAPP_P2123002749l_bool(Pa,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,A_1),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,B_1),C_4))))
=> hBOOL(hAPP_P2123002749l_bool(Pa,X_2)) ) ).
fof(fact_220_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_4] : hBOOL(hAPP_P124632071l_bool(Pa,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A_1),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,B_1),C_4))))
=> hBOOL(hAPP_P124632071l_bool(Pa,X_2)) ) ).
fof(fact_221_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_4] : hBOOL(hAPP_P2010574925r_bool(Pa,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A_1),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,B_1),C_4))))
=> hBOOL(hAPP_P2010574925r_bool(Pa,X_2)) ) ).
fof(fact_222_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_4] : hBOOL(hAPP_P975284999r_bool(Pa,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A_1),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,B_1),C_4))))
=> hBOOL(hAPP_P975284999r_bool(Pa,X_2)) ) ).
fof(fact_223_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_4] : hBOOL(hAPP_P929449287r_bool(Pa,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,A_1),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,B_1),C_4))))
=> hBOOL(hAPP_P929449287r_bool(Pa,X_2)) ) ).
fof(fact_224_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_4] : hBOOL(hAPP_P801803911r_bool(Pa,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,A_1),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,B_1),C_4))))
=> hBOOL(hAPP_P801803911r_bool(Pa,X_2)) ) ).
fof(fact_225_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_4] : hBOOL(hAPP_P1002912327r_bool(Pa,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,A_1),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,B_1),C_4))))
=> hBOOL(hAPP_P1002912327r_bool(Pa,X_2)) ) ).
fof(fact_226_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_4] : hBOOL(hAPP_P439015943l_bool(Pa,hAPP_P976385092ar_val(hAPP_P800634639ar_val(produc1317546007ar_val,A_1),hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,B_1),C_4))))
=> hBOOL(hAPP_P439015943l_bool(Pa,X_2)) ) ).
fof(fact_227_red__hext__incr,axiom,
! [Eb,Hb,Lb,E_b,H_b,L_b,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))),red(Pa)))
=> hBOOL(hext(Hb,H_b)) ) ).
fof(fact_228_red__lcl__add,axiom,
! [L_0_1,Eb,Hb,Lb,E_b,H_b,L_b,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))),red(Pa)))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),map_ad325961431ar_val(L_0_1,Lb)))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),map_ad325961431ar_val(L_0_1,L_b)))),red(Pa))) ) ).
fof(fact_229_prod_Oexhaust,axiom,
! [Y_2] :
~ ! [A_1,B_1] : Y_2 != hAPP_P295788316har_ty(hAPP_l848957697har_ty(produc1002914035har_ty,A_1),B_1) ).
fof(fact_230_prod_Oexhaust,axiom,
! [Y_2] :
~ ! [A_1,B_1] : Y_2 != hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,A_1),B_1) ).
fof(fact_231_prod_Oexhaust,axiom,
! [Y_2] :
~ ! [A_1,B_1] : Y_2 != hAPP_P976385092ar_val(hAPP_P800634639ar_val(produc1317546007ar_val,A_1),B_1) ).
fof(fact_232_prod_Oexhaust,axiom,
! [Y_2] :
~ ! [A_1,B_1] : Y_2 != hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,A_1),B_1) ).
fof(fact_233_prod_Oexhaust,axiom,
! [Y_2] :
~ ! [A_1,B_1] : Y_2 != hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,A_1),B_1) ).
fof(fact_234_prod_Oexhaust,axiom,
! [Y_2] :
~ ! [A_1,B_1] : Y_2 != hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,A_1),B_1) ).
fof(fact_235_prod_Oexhaust,axiom,
! [Y_2] :
~ ! [A_1,B_1] : Y_2 != hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A_1),B_1) ).
fof(fact_236_prod_Oexhaust,axiom,
! [Y_2] :
~ ! [A_1,B_1] : Y_2 != hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A_1),B_1) ).
fof(fact_237_prod_Oexhaust,axiom,
! [Y_3] :
~ ! [A_1,B_1] : Y_3 != hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A_1),B_1) ).
fof(fact_238_prod_Oexhaust,axiom,
! [Y_2] :
~ ! [A_1,B_1] : Y_2 != hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,A_1),B_1) ).
fof(fact_239_prod_Oexhaust,axiom,
! [Y_2] :
~ ! [A_1,B_1] : Y_2 != hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A_1),B_1) ).
fof(fact_240_prod_Oexhaust,axiom,
! [Y_2] :
~ ! [A_1,B_1] : Y_2 != hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A_1),B_1) ).
fof(fact_241_prod_Oexhaust,axiom,
! [Y_2] :
~ ! [A_1,B_1] : Y_2 != hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_1),B_1) ).
fof(fact_242_prod_Oexhaust,axiom,
! [Y_2] :
~ ! [A_1,B_1] : Y_2 != hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_1),B_1) ).
fof(fact_243_prod_Oexhaust,axiom,
! [Y_3] :
~ ! [A_1,B_1] : Y_3 != hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_1),B_1) ).
fof(fact_244_prod_Oexhaust,axiom,
! [Y_3] :
~ ! [A_1,B_1] : Y_3 != hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_1),B_1) ).
fof(fact_245_prod_Oexhaust,axiom,
! [Y_3] :
~ ! [A_1,B_1] : Y_3 != hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A_1),B_1) ).
fof(fact_246_prod_Oexhaust,axiom,
! [Y_2] :
~ ! [A_1,B_1] : Y_2 != hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,A_1),B_1) ).
fof(fact_247_prod_Oexhaust,axiom,
! [Y_2] :
~ ! [A_1,B_1] : Y_2 != hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A_1),B_1) ).
fof(fact_248_prod_Oexhaust,axiom,
! [Y_3] :
~ ! [A_1,B_1] : Y_3 != hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_1),B_1) ).
fof(fact_249_prod_Oexhaust,axiom,
! [Y_3] :
~ ! [A_1,B_1] : Y_3 != hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),B_1) ).
fof(fact_250_prod_Oexhaust,axiom,
! [Y_3] :
~ ! [A_1,B_1] : Y_3 != hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_1),B_1) ).
fof(fact_251_prod_Oexhaust,axiom,
! [Y_3] :
~ ! [A_1,B_1] : Y_3 != hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),B_1) ).
fof(fact_252_prod_Oexhaust,axiom,
! [Y_3] :
~ ! [A_1,B_1] : Y_3 != hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_1),B_1) ).
fof(fact_253_prod_Oexhaust,axiom,
! [Y_2] :
~ ! [A_1,B_1] : Y_2 != hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),B_1) ).
fof(fact_254_prod_Oexhaust,axiom,
! [Y_2] :
~ ! [A_1,B_1] : Y_2 != hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_1),B_1) ).
fof(fact_255_prod_Oexhaust,axiom,
! [Y_2] :
~ ! [A_1,B_1] : Y_2 != hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_1),B_1) ).
fof(fact_256_prod_Oexhaust,axiom,
! [Y_2] :
~ ! [A_1,B_1] :
( is_bop(A_1)
=> Y_2 != hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_1),B_1) ) ).
fof(fact_257_prod_Oexhaust,axiom,
! [Y_2] :
~ ! [A_1,B_1] : Y_2 != hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),B_1) ).
fof(fact_258_prod_Oexhaust,axiom,
! [Y_3] :
~ ! [A_1,B_1] : Y_3 != hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_1),B_1) ).
fof(fact_259_prod_Oexhaust,axiom,
! [Y_2] :
~ ! [A_1,B_1] : Y_2 != hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),B_1) ).
fof(fact_260_prod_Oexhaust,axiom,
! [Y_2] :
~ ! [A_1,B_1] : Y_2 != hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),B_1) ).
fof(fact_261_prod_Oexhaust,axiom,
! [Y_2] :
~ ! [A_1,B_1] : Y_2 != hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_1),B_1) ).
fof(fact_262_prod_Oexhaust,axiom,
! [Y_2] :
~ ! [A_1,B_1] : Y_2 != hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_1),B_1) ).
fof(fact_263_prod_Oexhaust,axiom,
! [Y_2] :
~ ! [A_1,B_1] : Y_2 != hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_1),B_1) ).
fof(fact_264_prod_Oexhaust,axiom,
! [Y_2] :
~ ! [A_1,B_1] : Y_2 != hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,A_1),B_1) ).
fof(fact_265_PairE,axiom,
! [P_2] :
~ ! [X_1,Y_1] : P_2 != hAPP_P295788316har_ty(hAPP_l848957697har_ty(produc1002914035har_ty,X_1),Y_1) ).
fof(fact_266_PairE,axiom,
! [P_2] :
~ ! [X_1,Y_1] : P_2 != hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,X_1),Y_1) ).
fof(fact_267_PairE,axiom,
! [P_2] :
~ ! [X_1,Y_1] : P_2 != hAPP_P976385092ar_val(hAPP_P800634639ar_val(produc1317546007ar_val,X_1),Y_1) ).
fof(fact_268_PairE,axiom,
! [P_2] :
~ ! [X_1,Y_1] : P_2 != hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,X_1),Y_1) ).
fof(fact_269_PairE,axiom,
! [P_2] :
~ ! [X_1,Y_1] : P_2 != hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,X_1),Y_1) ).
fof(fact_270_PairE,axiom,
! [P_2] :
~ ! [X_1,Y_1] : P_2 != hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,X_1),Y_1) ).
fof(fact_271_PairE,axiom,
! [P_2] :
~ ! [X_1,Y_1] : P_2 != hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,X_1),Y_1) ).
fof(fact_272_PairE,axiom,
! [P_2] :
~ ! [X_1,Y_1] : P_2 != hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,X_1),Y_1) ).
fof(fact_273_PairE,axiom,
! [P_1] :
~ ! [X_1,Y_1] : P_1 != hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,X_1),Y_1) ).
fof(fact_274_PairE,axiom,
! [P_2] :
~ ! [X_1,Y_1] : P_2 != hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,X_1),Y_1) ).
fof(fact_275_PairE,axiom,
! [P_2] :
~ ! [X_1,Y_1] : P_2 != hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,X_1),Y_1) ).
fof(fact_276_PairE,axiom,
! [P_2] :
~ ! [X_1,Y_1] : P_2 != hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,X_1),Y_1) ).
fof(fact_277_PairE,axiom,
! [P_2] :
~ ! [X_1,Y_1] : P_2 != hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,X_1),Y_1) ).
fof(fact_278_PairE,axiom,
! [P_2] :
~ ! [X_1,Y_1] : P_2 != hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,X_1),Y_1) ).
fof(fact_279_PairE,axiom,
! [P_1] :
~ ! [X_1,Y_1] : P_1 != hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,X_1),Y_1) ).
fof(fact_280_PairE,axiom,
! [P_1] :
~ ! [X_1,Y_1] : P_1 != hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,X_1),Y_1) ).
fof(fact_281_PairE,axiom,
! [P_1] :
~ ! [X_1,Y_1] : P_1 != hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,X_1),Y_1) ).
fof(fact_282_PairE,axiom,
! [P_2] :
~ ! [X_1,Y_1] : P_2 != hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,X_1),Y_1) ).
fof(fact_283_PairE,axiom,
! [P_2] :
~ ! [X_1,Y_1] : P_2 != hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,X_1),Y_1) ).
fof(fact_284_PairE,axiom,
! [P_1] :
~ ! [X_1,Y_1] : P_1 != hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X_1),Y_1) ).
fof(fact_285_PairE,axiom,
! [P_1] :
~ ! [X_1,Y_1] : P_1 != hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X_1),Y_1) ).
fof(fact_286_PairE,axiom,
! [P_1] :
~ ! [X_1,Y_1] : P_1 != hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,X_1),Y_1) ).
fof(fact_287_PairE,axiom,
! [P_1] :
~ ! [X_1,Y_1] : P_1 != hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,X_1),Y_1) ).
fof(fact_288_PairE,axiom,
! [P_1] :
~ ! [X_1,Y_1] : P_1 != hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,X_1),Y_1) ).
fof(fact_289_PairE,axiom,
! [P_2] :
~ ! [X_1,Y_1] : P_2 != hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,X_1),Y_1) ).
fof(fact_290_PairE,axiom,
! [P_2] :
~ ! [X_1,Y_1] : P_2 != hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,X_1),Y_1) ).
fof(fact_291_PairE,axiom,
! [P_2] :
~ ! [X_1,Y_1] : P_2 != hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,X_1),Y_1) ).
fof(fact_292_PairE,axiom,
! [P_2] :
~ ! [X_1,Y_1] :
( is_bop(X_1)
=> P_2 != hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,X_1),Y_1) ) ).
fof(fact_293_PairE,axiom,
! [P_2] :
~ ! [X_1,Y_1] : P_2 != hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,X_1),Y_1) ).
fof(fact_294_PairE,axiom,
! [P_1] :
~ ! [X_1,Y_1] : P_1 != hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,X_1),Y_1) ).
fof(fact_295_PairE,axiom,
! [P_2] :
~ ! [X_1,Y_1] : P_2 != hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,X_1),Y_1) ).
fof(fact_296_PairE,axiom,
! [P_2] :
~ ! [X_1,Y_1] : P_2 != hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,X_1),Y_1) ).
fof(fact_297_PairE,axiom,
! [P_2] :
~ ! [X_1,Y_1] : P_2 != hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,X_1),Y_1) ).
fof(fact_298_PairE,axiom,
! [P_2] :
~ ! [X_1,Y_1] : P_2 != hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,X_1),Y_1) ).
fof(fact_299_PairE,axiom,
! [P_2] :
~ ! [X_1,Y_1] : P_2 != hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,X_1),Y_1) ).
fof(fact_300_PairE,axiom,
! [P_2] :
~ ! [X_1,Y_1] : P_2 != hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,X_1),Y_1) ).
fof(fact_301_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P831231943y_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P831231943y_bool(Pa,hAPP_P295788316har_ty(hAPP_l848957697har_ty(produc1002914035har_ty,A_1),B_1))) ) ).
fof(fact_302_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P748443392y_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P748443392y_bool(Pa,hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,A_1),B_1))) ) ).
fof(fact_303_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P439015943l_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P439015943l_bool(Pa,hAPP_P976385092ar_val(hAPP_P800634639ar_val(produc1317546007ar_val,A_1),B_1))) ) ).
fof(fact_304_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P1002912327r_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P1002912327r_bool(Pa,hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,A_1),B_1))) ) ).
fof(fact_305_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P801803911r_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P801803911r_bool(Pa,hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,A_1),B_1))) ) ).
fof(fact_306_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P929449287r_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P929449287r_bool(Pa,hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,A_1),B_1))) ) ).
fof(fact_307_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P975284999r_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P975284999r_bool(Pa,hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A_1),B_1))) ) ).
fof(fact_308_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P2010574925r_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P2010574925r_bool(Pa,hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A_1),B_1))) ) ).
fof(fact_309_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P124632071l_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P124632071l_bool(Pa,hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A_1),B_1))) ) ).
fof(fact_310_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P2123002749l_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P2123002749l_bool(Pa,hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,A_1),B_1))) ) ).
fof(fact_311_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P738987199l_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P738987199l_bool(Pa,hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A_1),B_1))) ) ).
fof(fact_312_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P1183499705r_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P1183499705r_bool(Pa,hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A_1),B_1))) ) ).
fof(fact_313_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P1240100515r_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P1240100515r_bool(Pa,hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A_1),B_1))) ) ).
fof(fact_314_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P824029447r_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P824029447r_bool(Pa,hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A_1),B_1))) ) ).
fof(fact_315_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P2028072621l_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P2028072621l_bool(Pa,hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A_1),B_1))) ) ).
fof(fact_316_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P378063101l_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P378063101l_bool(Pa,hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A_1),B_1))) ) ).
fof(fact_317_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P1221872711l_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P1221872711l_bool(Pa,hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A_1),B_1))) ) ).
fof(fact_318_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P27757617y_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P27757617y_bool(Pa,hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,A_1),B_1))) ) ).
fof(fact_319_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P1384137393r_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P1384137393r_bool(Pa,hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A_1),B_1))) ) ).
fof(fact_320_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P159683425l_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P159683425l_bool(Pa,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_1),B_1))) ) ).
fof(fact_321_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P282169671l_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P282169671l_bool(Pa,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),B_1))) ) ).
fof(fact_322_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P1708370145l_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P1708370145l_bool(Pa,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_1),B_1))) ) ).
fof(fact_323_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P1333315679l_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P1333315679l_bool(Pa,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),B_1))) ) ).
fof(fact_324_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P71593144l_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P71593144l_bool(Pa,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_1),B_1))) ) ).
fof(fact_325_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P92196306r_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P92196306r_bool(Pa,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),B_1))) ) ).
fof(fact_326_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P1907982426r_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P1907982426r_bool(Pa,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_1),B_1))) ) ).
fof(fact_327_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P2118621157r_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P2118621157r_bool(Pa,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_1),B_1))) ) ).
fof(fact_328_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P943837928l_bool(Pa,X1))
<=> ? [A_1,B_1] :
( is_bop(A_1)
& hBOOL(hAPP_P943837928l_bool(Pa,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_1),B_1))) ) ) ).
fof(fact_329_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P929938951l_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P929938951l_bool(Pa,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),B_1))) ) ).
fof(fact_330_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P1235399154l_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P1235399154l_bool(Pa,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_1),B_1))) ) ).
fof(fact_331_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P449474095r_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P449474095r_bool(Pa,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),B_1))) ) ).
fof(fact_332_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P1680401186r_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P1680401186r_bool(Pa,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),B_1))) ) ).
fof(fact_333_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P659547099r_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P659547099r_bool(Pa,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_1),B_1))) ) ).
fof(fact_334_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P828904212r_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P828904212r_bool(Pa,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_1),B_1))) ) ).
fof(fact_335_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P2014166431r_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P2014166431r_bool(Pa,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_1),B_1))) ) ).
fof(fact_336_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P1070896250l_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P1070896250l_bool(Pa,hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,A_1),B_1))) ) ).
fof(fact_337_WTrt__hext__mono,axiom,
! [H_b,Pa,Hb,Ea,Eb,Ta] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,Eb),Ta))
=> ( hBOOL(hext(Hb,H_b))
=> hBOOL(hAPP_ty_bool(wTrt(Pa,H_b,Ea,Eb),Ta)) ) ) ).
fof(fact_338_hext__refl,axiom,
! [Hb] : hBOOL(hext(Hb,Hb)) ).
fof(fact_339_lconf__hext,axiom,
! [H_b,Pa,Hb,Lb,Ea] :
( hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),Hb),Lb),Ea))
=> ( hBOOL(hext(Hb,H_b))
=> hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),H_b),Lb),Ea)) ) ) ).
fof(fact_340_Red__lcl__add,axiom,
! [L_0_1,Eb,Hb,Lb,E_b,H_b,L_b,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),map_ad325961431ar_val(L_0_1,Lb)))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),map_ad325961431ar_val(L_0_1,L_b)))),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_341_pred__equals__eq2,axiom,
! [S_4,R_2] :
( ! [X_1,Xa] :
( hBOOL(member1783291580har_ty(hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,X_1),Xa),R_2))
<=> hBOOL(member1783291580har_ty(hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,X_1),Xa),S_4)) )
<=> R_2 = S_4 ) ).
fof(fact_342_pred__equals__eq2,axiom,
! [S_4,R_2] :
( ! [X_1,Xa] :
( hBOOL(member503779467har_ty(hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,X_1),Xa),R_2))
<=> hBOOL(member503779467har_ty(hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,X_1),Xa),S_4)) )
<=> R_2 = S_4 ) ).
fof(fact_343_pred__equals__eq2,axiom,
! [S_4,R_2] :
( ! [X_1,Xa] :
( hBOOL(member619264020ar_val(hAPP_P976385092ar_val(hAPP_P800634639ar_val(produc1317546007ar_val,X_1),Xa),R_2))
<=> hBOOL(member619264020ar_val(hAPP_P976385092ar_val(hAPP_P800634639ar_val(produc1317546007ar_val,X_1),Xa),S_4)) )
<=> R_2 = S_4 ) ).
fof(fact_344_pred__equals__eq2,axiom,
! [S_4,R_2] :
( ! [X_1,Xa] :
( hBOOL(member1999287380t_char(hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,X_1),Xa),R_2))
<=> hBOOL(member1999287380t_char(hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,X_1),Xa),S_4)) )
<=> R_2 = S_4 ) ).
fof(fact_345_pred__equals__eq2,axiom,
! [S_4,R_2] :
( ! [X_1,Xa] :
( hBOOL(member1551446420t_char(hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,X_1),Xa),R_2))
<=> hBOOL(member1551446420t_char(hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,X_1),Xa),S_4)) )
<=> R_2 = S_4 ) ).
fof(fact_346_pred__equals__eq2,axiom,
! [S_4,R_2] :
( ! [X_1,Xa] :
( hBOOL(member1607118676t_char(hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,X_1),Xa),R_2))
<=> hBOOL(member1607118676t_char(hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,X_1),Xa),S_4)) )
<=> R_2 = S_4 ) ).
fof(fact_347_pred__equals__eq2,axiom,
! [S_4,R_2] :
( ! [X_1,Xa] :
( hBOOL(member162552852t_char(hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,X_1),Xa),R_2))
<=> hBOOL(member162552852t_char(hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,X_1),Xa),S_4)) )
<=> R_2 = S_4 ) ).
fof(fact_348_pred__equals__eq2,axiom,
! [S_4,R_2] :
( ! [X_1,Xa] :
( hBOOL(member794220506t_char(hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,X_1),Xa),R_2))
<=> hBOOL(member794220506t_char(hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,X_1),Xa),S_4)) )
<=> R_2 = S_4 ) ).
fof(fact_349_pred__equals__eq2,axiom,
! [S_4,R_2] :
( ! [X_1,Xa] :
( hBOOL(member1322055188on_val(hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,X_1),Xa),R_2))
<=> hBOOL(member1322055188on_val(hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,X_1),Xa),S_4)) )
<=> R_2 = S_4 ) ).
fof(fact_350_pred__equals__eq2,axiom,
! [S_4,R_2] :
( ! [X_1,Xa] :
( hBOOL(member837208074al_val(hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,X_1),Xa),R_2))
<=> hBOOL(member837208074al_val(hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,X_1),Xa),S_4)) )
<=> R_2 = S_4 ) ).
fof(fact_351_pred__equals__eq2,axiom,
! [S_4,R_2] :
( ! [X_1,Xa] :
( hBOOL(member1732271180al_val(hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,X_1),Xa),R_2))
<=> hBOOL(member1732271180al_val(hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,X_1),Xa),S_4)) )
<=> R_2 = S_4 ) ).
fof(fact_352_pred__equals__eq2,axiom,
! [S_4,R_2] :
( ! [X_1,Xa] :
( hBOOL(member1161907014t_char(hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,X_1),Xa),R_2))
<=> hBOOL(member1161907014t_char(hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,X_1),Xa),S_4)) )
<=> R_2 = S_4 ) ).
fof(fact_353_pred__equals__eq2,axiom,
! [S_4,R_2] :
( ! [X_1,Xa] :
( hBOOL(member125098544t_char(hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,X_1),Xa),R_2))
<=> hBOOL(member125098544t_char(hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,X_1),Xa),S_4)) )
<=> R_2 = S_4 ) ).
fof(fact_354_pred__equals__eq2,axiom,
! [S_4,R_2] :
( ! [X_1,Xa] :
( hBOOL(member1420286996t_char(hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,X_1),Xa),R_2))
<=> hBOOL(member1420286996t_char(hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,X_1),Xa),S_4)) )
<=> R_2 = S_4 ) ).
fof(fact_355_pred__equals__eq2,axiom,
! [S_4,R_2] :
( ! [X_1,Xa] :
( hBOOL(member88670778on_val(hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,X_1),Xa),R_2))
<=> hBOOL(member88670778on_val(hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,X_1),Xa),S_4)) )
<=> R_2 = S_4 ) ).
fof(fact_356_pred__equals__eq2,axiom,
! [S_4,R_2] :
( ! [X_1,Xa] :
( hBOOL(member808015754on_val(hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,X_1),Xa),R_2))
<=> hBOOL(member808015754on_val(hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,X_1),Xa),S_4)) )
<=> R_2 = S_4 ) ).
fof(fact_357_pred__equals__eq2,axiom,
! [S_4,R_2] :
( ! [X_1,Xa] :
( hBOOL(member563141460on_val(hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,X_1),Xa),R_2))
<=> hBOOL(member563141460on_val(hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,X_1),Xa),S_4)) )
<=> R_2 = S_4 ) ).
fof(fact_358_pred__equals__eq2,axiom,
! [S_4,R_2] :
( ! [X_1,Xa] :
( hBOOL(member2007117138har_ty(hAPP_P295788316har_ty(hAPP_l848957697har_ty(produc1002914035har_ty,X_1),Xa),R_2))
<=> hBOOL(member2007117138har_ty(hAPP_P295788316har_ty(hAPP_l848957697har_ty(produc1002914035har_ty,X_1),Xa),S_4)) )
<=> R_2 = S_4 ) ).
fof(fact_359_pred__equals__eq2,axiom,
! [S_4,R_2] :
( ! [X_1,Xa] :
( hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X_1),Xa),R_2))
<=> hBOOL(member763590124on_val(hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X_1),Xa),S_4)) )
<=> R_2 = S_4 ) ).
fof(fact_360_pred__equals__eq2,axiom,
! [S_4,R_2] :
( ! [X_1,Xa] :
( hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,X_1),Xa),R_2))
<=> hBOOL(member840932460on_val(hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,X_1),Xa),S_4)) )
<=> R_2 = S_4 ) ).
fof(fact_361_pred__equals__eq2,axiom,
! [S_4,R_2] :
( ! [X_1,Xa] :
( hBOOL(member1972431429on_val(hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,X_1),Xa),R_2))
<=> hBOOL(member1972431429on_val(hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,X_1),Xa),S_4)) )
<=> R_2 = S_4 ) ).
fof(fact_362_pred__equals__eq2,axiom,
! [S_4,R_2] :
( ! [X_1,Xa] :
( hBOOL(member133545693t_char(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,X_1),Xa),R_2))
<=> hBOOL(member133545693t_char(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,X_1),Xa),S_4)) )
<=> R_2 = S_4 ) ).
fof(fact_363_pred__equals__eq2,axiom,
! [S_4,R_2] :
( ! [X_1,Xa] :
( hBOOL(member140606439t_char(hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,X_1),Xa),R_2))
<=> hBOOL(member140606439t_char(hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,X_1),Xa),S_4)) )
<=> R_2 = S_4 ) ).
fof(fact_364_pred__equals__eq2,axiom,
! [S_4,R_2] :
( ! [X_1,Xa] :
( hBOOL(member699351154t_char(hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,X_1),Xa),R_2))
<=> hBOOL(member699351154t_char(hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,X_1),Xa),S_4)) )
<=> R_2 = S_4 ) ).
fof(fact_365_pred__equals__eq2,axiom,
! [S_4,R_2] :
( ! [X_1,Xa] :
( is_bop(X_1)
=> ( hBOOL(member1417904245al_val(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,X_1),Xa),R_2))
<=> hBOOL(member1417904245al_val(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,X_1),Xa),S_4)) ) )
<=> R_2 = S_4 ) ).
fof(fact_366_pred__equals__eq2,axiom,
! [S_4,R_2] :
( ! [X_1,Xa] :
( hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,X_1),Xa),R_2))
<=> hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,X_1),Xa),S_4)) )
<=> R_2 = S_4 ) ).
fof(fact_367_pred__equals__eq2,axiom,
! [S_4,R_2] :
( ! [X_1,Xa] :
( hBOOL(member1542417277on_val(hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,X_1),Xa),R_2))
<=> hBOOL(member1542417277on_val(hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,X_1),Xa),S_4)) )
<=> R_2 = S_4 ) ).
fof(fact_368_pred__equals__eq2,axiom,
! [S_4,R_2] :
( ! [X_1,Xa] :
( hBOOL(member1771544038t_char(hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,X_1),Xa),R_2))
<=> hBOOL(member1771544038t_char(hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,X_1),Xa),S_4)) )
<=> R_2 = S_4 ) ).
fof(fact_369_pred__equals__eq2,axiom,
! [S_4,R_2] :
( ! [X_1,Xa] :
( hBOOL(member1379348767t_char(hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,X_1),Xa),R_2))
<=> hBOOL(member1379348767t_char(hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,X_1),Xa),S_4)) )
<=> R_2 = S_4 ) ).
fof(fact_370_pred__equals__eq2,axiom,
! [S_4,R_2] :
( ! [X_1,Xa] :
( hBOOL(member1840112042t_char(hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,X_1),Xa),R_2))
<=> hBOOL(member1840112042t_char(hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,X_1),Xa),S_4)) )
<=> R_2 = S_4 ) ).
fof(fact_371_pred__equals__eq2,axiom,
! [S_4,R_2] :
( ! [X_1,Xa] :
( hBOOL(member806854661ar_val(hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,X_1),Xa),R_2))
<=> hBOOL(member806854661ar_val(hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,X_1),Xa),S_4)) )
<=> R_2 = S_4 ) ).
fof(fact_372_pred__equals__eq2,axiom,
! [S_4,R_2] :
( ! [X_1,Xa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X_1),Xa),R_2))
<=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X_1),Xa),S_4)) )
<=> R_2 = S_4 ) ).
fof(fact_373_pred__equals__eq2,axiom,
! [S_4,R_2] :
( ! [X_1,Xa] :
( hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,X_1),Xa),R_2))
<=> hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,X_1),Xa),S_4)) )
<=> R_2 = S_4 ) ).
fof(fact_374_pred__equals__eq2,axiom,
! [S_4,R_2] :
( ! [X_1,Xa] :
( hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,X_1),Xa),R_2))
<=> hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,X_1),Xa),S_4)) )
<=> R_2 = S_4 ) ).
fof(fact_375_pred__equals__eq2,axiom,
! [S_4,R_2] :
( ! [X_1,Xa] :
( hBOOL(member1467889965t_char(hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,X_1),Xa),R_2))
<=> hBOOL(member1467889965t_char(hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,X_1),Xa),S_4)) )
<=> R_2 = S_4 ) ).
fof(fact_376_pred__equals__eq2,axiom,
! [S_4,R_2] :
( ! [X_1,Xa] :
( hBOOL(member1601084734t_char(hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,X_1),Xa),R_2))
<=> hBOOL(member1601084734t_char(hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,X_1),Xa),S_4)) )
<=> R_2 = S_4 ) ).
fof(fact_377_internal__split__conv,axiom,
! [C_1,A,B] : hAPP_P841862366ar_val(hAPP_f1295640803ar_val(produc1713493127ar_val,C_1),hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,A),B)) = hAPP_t97533526ar_val(hAPP_P221287148ar_val(C_1,A),B) ).
fof(fact_378_internal__split__conv,axiom,
! [C_1,A,B] :
( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc2128769400l_bool,C_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A),B)))
<=> hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(C_1,A),B)) ) ).
fof(fact_379_internal__split__conv,axiom,
! [C_1,A,B] : hAPP_P1228500987ion_ty(hAPP_f46308763ion_ty(produc1577326610ion_ty,C_1),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A),B)) = hAPP_f652398900ion_ty(hAPP_l2000496933ion_ty(C_1,A),B) ).
fof(fact_380_WTrtWhile,axiom,
! [C_1,Ta,Pa,Hb,Ea,Eb] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,Eb),boolean))
=> ( hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,C_1),Ta))
=> hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,while_list_char(Eb,C_1)),void)) ) ) ).
fof(fact_381_sconf__def,axiom,
! [Pa,Ea,S] :
( hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(Pa,Ea),S))
<=> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,cOMBS_570216337l_bool(hAPP_f1523875321l_bool(hAPP_f592397849l_bool(cOMBB_1718333400on_val,cOMBB_383678192on_val),hAPP_f1452292669l_bool(hAPP_f1977633121l_bool(cOMBB_1303934920on_val,fconj),hconf_97414254t_char(Pa))),hAPP_f550652027l_bool(hAPP_f838396643l_bool(cOMBC_2027949654l_bool,hAPP_f857351829l_bool(hAPP_f348318673l_bool(cOMBB_1518282696on_val,cOMBC_832625297y_bool),lconf_496643946t_char(Pa))),Ea))),S)) ) ).
fof(fact_382_WTrtCond,axiom,
! [Ta,E_2,T_2,E_1,T_1,Pa,Hb,Ea,Eb] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,Eb),boolean))
=> ( hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,E_1),T_1))
=> ( hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,E_2),T_2))
=> ( ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_1),T_2))
| hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_2),T_1)) )
=> ( ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_1),T_2))
=> Ta = T_2 )
=> ( ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_2),T_1))
=> Ta = T_1 )
=> hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,cond_list_char(Eb,E_1,E_2)),Ta)) ) ) ) ) ) ) ).
fof(fact_383_hext__trans,axiom,
! [H_4,Hb,H_b] :
( hBOOL(hext(Hb,H_b))
=> ( hBOOL(hext(H_b,H_4))
=> hBOOL(hext(Hb,H_4)) ) ) ).
fof(fact_384_red__reds_OFAssRed2,axiom,
! [V_1,Fa,Da,Eb,S,E_b,S_2,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2)),red(Pa)))
=> hBOOL(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_1),Fa,Da,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(hAPP_v834067052t_char(val_list_char,V_1),Fa,Da,E_b)),S_2)),red(Pa))) ) ).
fof(fact_385_red__reds_OFAccThrow,axiom,
! [Eb,Fa,Da,S,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(Eb),Fa,Da)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S)),red(Pa))) ).
fof(fact_386_prod__caseI,axiom,
! [F1,A,B] :
( hBOOL(hAPP_P748443392y_bool(hAPP_l1665608433y_bool(F1,A),B))
=> hBOOL(hAPP_P831231943y_bool(hAPP_f1134484787y_bool(produc802464979y_bool,F1),hAPP_P295788316har_ty(hAPP_l848957697har_ty(produc1002914035har_ty,A),B))) ) ).
fof(fact_387_prod__caseI,axiom,
! [F1,A,B] :
( hBOOL(hAPP_ty_bool(hAPP_l1734756650y_bool(F1,A),B))
=> hBOOL(hAPP_P748443392y_bool(hAPP_f695389733y_bool(produc1322037260y_bool,F1),hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,A),B))) ) ).
fof(fact_388_prod__caseI,axiom,
! [F1,A,B] :
( hBOOL(hAPP_P1070896250l_bool(hAPP_P1236192325l_bool(F1,A),B))
=> hBOOL(hAPP_P439015943l_bool(hAPP_f1653906803l_bool(produc891186911l_bool,F1),hAPP_P976385092ar_val(hAPP_P800634639ar_val(produc1317546007ar_val,A),B))) ) ).
fof(fact_389_prod__caseI,axiom,
! [F1,A,B] :
( hBOOL(hAPP_P2014166431r_bool(hAPP_P1939418767r_bool(F1,A),B))
=> hBOOL(hAPP_P1002912327r_bool(hAPP_f1728305001r_bool(produc1946648479r_bool,F1),hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,A),B))) ) ).
fof(fact_390_prod__caseI,axiom,
! [F1,A,B] :
( hBOOL(hAPP_P828904212r_bool(hAPP_P225001977r_bool(F1,A),B))
=> hBOOL(hAPP_P801803911r_bool(hAPP_f1760165311r_bool(produc1458513631r_bool,F1),hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,A),B))) ) ).
fof(fact_391_prod__caseI,axiom,
! [F1,A,B] :
( hBOOL(hAPP_P659547099r_bool(hAPP_P194929415r_bool(F1,A),B))
=> hBOOL(hAPP_P929449287r_bool(hAPP_f1774800369r_bool(produc1113940127r_bool,F1),hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,A),B))) ) ).
fof(fact_392_prod__caseI,axiom,
! [F1,A,B] :
( hBOOL(hAPP_P1680401186r_bool(hAPP_P1117344277r_bool(F1,A),B))
=> hBOOL(hAPP_P975284999r_bool(hAPP_f72760099r_bool(produc310626655r_bool,F1),hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A),B))) ) ).
fof(fact_393_prod__caseI,axiom,
! [F1,A,B] :
( hBOOL(hAPP_P449474095r_bool(hAPP_P663876415r_bool(F1,A),B))
=> hBOOL(hAPP_P2010574925r_bool(hAPP_f39862969r_bool(produc1131232171r_bool,F1),hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A),B))) ) ).
fof(fact_394_prod__caseI,axiom,
! [F1,A,B] :
( hBOOL(hAPP_P1235399154l_bool(hAPP_P416784693l_bool(F1,A),B))
=> hBOOL(hAPP_P124632071l_bool(hAPP_f834198659l_bool(produc870083295l_bool,F1),hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A),B))) ) ).
fof(fact_395_prod__caseI,axiom,
! [F1,A,B] :
( hBOOL(hAPP_P929938951l_bool(hAPP_P1815899455l_bool(F1,A),B))
=> hBOOL(hAPP_P2123002749l_bool(hAPP_f1774252649l_bool(produc506816603l_bool,F1),hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,A),B))) ) ).
fof(fact_396_prod__caseI,axiom,
! [F1,A,B] :
( hBOOL(hAPP_P943837928l_bool(hAPP_P323054207l_bool(F1,A),B))
=> hBOOL(hAPP_P738987199l_bool(hAPP_f463140843l_bool(produc1296464157l_bool,F1),hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A),B))) ) ).
fof(fact_397_prod__caseI,axiom,
! [F1,A,B] :
( hBOOL(hAPP_P2118621157r_bool(hAPP_P357098431r_bool(F1,A),B))
=> hBOOL(hAPP_P1183499705r_bool(hAPP_f523402917r_bool(produc22827031r_bool,F1),hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A),B))) ) ).
fof(fact_398_prod__caseI,axiom,
! [F1,A,B] :
( hBOOL(hAPP_P1907982426r_bool(hAPP_P1214880255r_bool(F1,A),B))
=> hBOOL(hAPP_P1240100515r_bool(hAPP_f1377529935r_bool(produc1470355201r_bool,F1),hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A),B))) ) ).
fof(fact_399_prod__caseI,axiom,
! [F1,A,B] :
( hBOOL(hAPP_P92196306r_bool(hAPP_P1928969845r_bool(F1,A),B))
=> hBOOL(hAPP_P824029447r_bool(hAPP_f655949763r_bool(produc1294339167r_bool,F1),hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A),B))) ) ).
fof(fact_400_prod__caseI,axiom,
! [F1,A,B] :
( hBOOL(hAPP_P1333315679l_bool(hAPP_P220718911l_bool(F1,A),B))
=> hBOOL(hAPP_P2028072621l_bool(hAPP_f1600283417l_bool(produc376173579l_bool,F1),hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A),B))) ) ).
fof(fact_401_prod__caseI,axiom,
! [F1,A,B] :
( hBOOL(hAPP_P282169671l_bool(hAPP_P2062527807l_bool(F1,A),B))
=> hBOOL(hAPP_P378063101l_bool(hAPP_f1363805417l_bool(produc1229156571l_bool,F1),hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A),B))) ) ).
fof(fact_402_prod__caseI,axiom,
! [F1,A,B] :
( hBOOL(hAPP_P159683425l_bool(hAPP_P1988153107l_bool(F1,A),B))
=> hBOOL(hAPP_P1221872711l_bool(hAPP_f662143077l_bool(produc1193275679l_bool,F1),hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A),B))) ) ).
fof(fact_403_prod__caseI,axiom,
! [F1,A,B] :
( hBOOL(hAPP_ty_bool(hAPP_P1845004857y_bool(F1,A),B))
=> hBOOL(hAPP_P27757617y_bool(hAPP_f201105125y_bool(produc1851383869y_bool,F1),hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,A),B))) ) ).
fof(fact_404_prod__caseI,axiom,
! [F1,A,B] :
( hBOOL(hAPP_P1187139874r_bool(hAPP_l165010689r_bool(F1,A),B))
=> hBOOL(hAPP_P1384137393r_bool(hAPP_f433337307r_bool(produc65850127r_bool,F1),hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A),B))) ) ).
fof(fact_405_prod__caseI,axiom,
! [F1,A,B] :
( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(F1,A),B))
=> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A),B))) ) ).
fof(fact_406_prod__caseI,axiom,
! [F1,A,B] :
( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(F1,A),B))
=> hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,F1),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B))) ) ).
fof(fact_407_prod__caseI,axiom,
! [F1,A,B] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(F1,A),B))
=> hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,F1),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A),B))) ) ).
fof(fact_408_prod__caseI,axiom,
! [F1,A,B] :
( hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(F1,A),B))
=> hBOOL(hAPP_P1333315679l_bool(hAPP_f1525114763l_bool(produc70644925l_bool,F1),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B))) ) ).
fof(fact_409_prod__caseI,axiom,
! [F1,A,B] :
( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(F1,A),B))
=> hBOOL(hAPP_P71593144l_bool(hAPP_f1634841927l_bool(produc1491230096l_bool,F1),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A),B))) ) ).
fof(fact_410_prod__caseI,axiom,
! [F1,A,B] :
( hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(F1,A),B))
=> hBOOL(hAPP_P92196306r_bool(hAPP_f1613448899r_bool(produc2027921764r_bool,F1),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A),B))) ) ).
fof(fact_411_prod__caseI,axiom,
! [F1,A,B] :
( hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(F1,A),B))
=> hBOOL(hAPP_P1907982426r_bool(hAPP_f102021095r_bool(produc154616760r_bool,F1),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A),B))) ) ).
fof(fact_412_prod__caseI,axiom,
! [F1,A,B] :
( hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(F1,A),B))
=> hBOOL(hAPP_P2118621157r_bool(hAPP_f1697332217r_bool(produc21910851r_bool,F1),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A),B))) ) ).
fof(fact_413_prod__caseI,axiom,
! [F1,A,B] :
( hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(F1,A),B))
=> hBOOL(hAPP_P943837928l_bool(hAPP_f340876351l_bool(produc1326056646l_bool,F1),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A),B))) ) ).
fof(fact_414_prod__caseI,axiom,
! [F1,A,B] :
( hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(F1,A),B))
=> hBOOL(hAPP_P929938951l_bool(hAPP_f1534412387l_bool(produc769963999l_bool,F1),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),B))) ) ).
fof(fact_415_prod__caseI,axiom,
! [F1,A,B] :
( hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(F1,A),B))
=> hBOOL(hAPP_P1235399154l_bool(hAPP_f1443410953l_bool(produc392960766l_bool,F1),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A),B))) ) ).
fof(fact_416_prod__caseI,axiom,
! [F1,A,B] :
( hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(F1,A),B))
=> hBOOL(hAPP_P449474095r_bool(hAPP_f2132060507r_bool(produc1704639885r_bool,F1),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B))) ) ).
fof(fact_417_prod__caseI,axiom,
! [F1,A,B] :
( hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(F1,A),B))
=> hBOOL(hAPP_P1680401186r_bool(hAPP_f952817385r_bool(produc723279022r_bool,F1),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A),B))) ) ).
fof(fact_418_prod__caseI,axiom,
! [F1,A,B] :
( hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(F1,A),B))
=> hBOOL(hAPP_P659547099r_bool(hAPP_f252398939r_bool(produc1324280167r_bool,F1),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A),B))) ) ).
fof(fact_419_prod__caseI,axiom,
! [F1,A,B] :
( hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(F1,A),B))
=> hBOOL(hAPP_P828904212r_bool(hAPP_f895126887r_bool(produc1596557472r_bool,F1),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A),B))) ) ).
fof(fact_420_prod__caseI,axiom,
! [F1,A,B] :
( hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(F1,A),B))
=> hBOOL(hAPP_P2014166431r_bool(hAPP_f1484794973r_bool(produc1732333873r_bool,F1),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A),B))) ) ).
fof(fact_421_prod__caseI,axiom,
! [F1,A,B] :
( hBOOL(hAPP_val_bool(hAPP_P486515074l_bool(F1,A),B))
=> hBOOL(hAPP_P1070896250l_bool(hAPP_f1663301111l_bool(produc1873777030l_bool,F1),hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,A),B))) ) ).
fof(fact_422_splitI,axiom,
! [F,A,B] :
( hBOOL(hAPP_P748443392y_bool(hAPP_l1665608433y_bool(F,A),B))
=> hBOOL(hAPP_P831231943y_bool(hAPP_f1134484787y_bool(produc802464979y_bool,F),hAPP_P295788316har_ty(hAPP_l848957697har_ty(produc1002914035har_ty,A),B))) ) ).
fof(fact_423_splitI,axiom,
! [F,A,B] :
( hBOOL(hAPP_ty_bool(hAPP_l1734756650y_bool(F,A),B))
=> hBOOL(hAPP_P748443392y_bool(hAPP_f695389733y_bool(produc1322037260y_bool,F),hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,A),B))) ) ).
fof(fact_424_splitI,axiom,
! [F,A,B] :
( hBOOL(hAPP_P1070896250l_bool(hAPP_P1236192325l_bool(F,A),B))
=> hBOOL(hAPP_P439015943l_bool(hAPP_f1653906803l_bool(produc891186911l_bool,F),hAPP_P976385092ar_val(hAPP_P800634639ar_val(produc1317546007ar_val,A),B))) ) ).
fof(fact_425_splitI,axiom,
! [F,A,B] :
( hBOOL(hAPP_P2014166431r_bool(hAPP_P1939418767r_bool(F,A),B))
=> hBOOL(hAPP_P1002912327r_bool(hAPP_f1728305001r_bool(produc1946648479r_bool,F),hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,A),B))) ) ).
fof(fact_426_splitI,axiom,
! [F,A,B] :
( hBOOL(hAPP_P828904212r_bool(hAPP_P225001977r_bool(F,A),B))
=> hBOOL(hAPP_P801803911r_bool(hAPP_f1760165311r_bool(produc1458513631r_bool,F),hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,A),B))) ) ).
fof(fact_427_splitI,axiom,
! [F,A,B] :
( hBOOL(hAPP_P659547099r_bool(hAPP_P194929415r_bool(F,A),B))
=> hBOOL(hAPP_P929449287r_bool(hAPP_f1774800369r_bool(produc1113940127r_bool,F),hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,A),B))) ) ).
fof(fact_428_splitI,axiom,
! [F,A,B] :
( hBOOL(hAPP_P1680401186r_bool(hAPP_P1117344277r_bool(F,A),B))
=> hBOOL(hAPP_P975284999r_bool(hAPP_f72760099r_bool(produc310626655r_bool,F),hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A),B))) ) ).
fof(fact_429_splitI,axiom,
! [F,A,B] :
( hBOOL(hAPP_P449474095r_bool(hAPP_P663876415r_bool(F,A),B))
=> hBOOL(hAPP_P2010574925r_bool(hAPP_f39862969r_bool(produc1131232171r_bool,F),hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A),B))) ) ).
fof(fact_430_splitI,axiom,
! [F,A,B] :
( hBOOL(hAPP_P1235399154l_bool(hAPP_P416784693l_bool(F,A),B))
=> hBOOL(hAPP_P124632071l_bool(hAPP_f834198659l_bool(produc870083295l_bool,F),hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A),B))) ) ).
fof(fact_431_splitI,axiom,
! [F,A,B] :
( hBOOL(hAPP_P929938951l_bool(hAPP_P1815899455l_bool(F,A),B))
=> hBOOL(hAPP_P2123002749l_bool(hAPP_f1774252649l_bool(produc506816603l_bool,F),hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,A),B))) ) ).
fof(fact_432_splitI,axiom,
! [F,A,B] :
( hBOOL(hAPP_P943837928l_bool(hAPP_P323054207l_bool(F,A),B))
=> hBOOL(hAPP_P738987199l_bool(hAPP_f463140843l_bool(produc1296464157l_bool,F),hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A),B))) ) ).
fof(fact_433_splitI,axiom,
! [F,A,B] :
( hBOOL(hAPP_P2118621157r_bool(hAPP_P357098431r_bool(F,A),B))
=> hBOOL(hAPP_P1183499705r_bool(hAPP_f523402917r_bool(produc22827031r_bool,F),hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A),B))) ) ).
fof(fact_434_splitI,axiom,
! [F,A,B] :
( hBOOL(hAPP_P1907982426r_bool(hAPP_P1214880255r_bool(F,A),B))
=> hBOOL(hAPP_P1240100515r_bool(hAPP_f1377529935r_bool(produc1470355201r_bool,F),hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A),B))) ) ).
fof(fact_435_splitI,axiom,
! [F,A,B] :
( hBOOL(hAPP_P92196306r_bool(hAPP_P1928969845r_bool(F,A),B))
=> hBOOL(hAPP_P824029447r_bool(hAPP_f655949763r_bool(produc1294339167r_bool,F),hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A),B))) ) ).
fof(fact_436_splitI,axiom,
! [F,A,B] :
( hBOOL(hAPP_P1333315679l_bool(hAPP_P220718911l_bool(F,A),B))
=> hBOOL(hAPP_P2028072621l_bool(hAPP_f1600283417l_bool(produc376173579l_bool,F),hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A),B))) ) ).
fof(fact_437_splitI,axiom,
! [F,A,B] :
( hBOOL(hAPP_P282169671l_bool(hAPP_P2062527807l_bool(F,A),B))
=> hBOOL(hAPP_P378063101l_bool(hAPP_f1363805417l_bool(produc1229156571l_bool,F),hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A),B))) ) ).
fof(fact_438_splitI,axiom,
! [F,A,B] :
( hBOOL(hAPP_P159683425l_bool(hAPP_P1988153107l_bool(F,A),B))
=> hBOOL(hAPP_P1221872711l_bool(hAPP_f662143077l_bool(produc1193275679l_bool,F),hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A),B))) ) ).
fof(fact_439_splitI,axiom,
! [F,A,B] :
( hBOOL(hAPP_ty_bool(hAPP_P1845004857y_bool(F,A),B))
=> hBOOL(hAPP_P27757617y_bool(hAPP_f201105125y_bool(produc1851383869y_bool,F),hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,A),B))) ) ).
fof(fact_440_splitI,axiom,
! [F,A,B] :
( hBOOL(hAPP_P1187139874r_bool(hAPP_l165010689r_bool(F,A),B))
=> hBOOL(hAPP_P1384137393r_bool(hAPP_f433337307r_bool(produc65850127r_bool,F),hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A),B))) ) ).
fof(fact_441_splitI,axiom,
! [F,A,B] :
( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(F,A),B))
=> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A),B))) ) ).
fof(fact_442_splitI,axiom,
! [F,A,B] :
( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(F,A),B))
=> hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,F),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B))) ) ).
fof(fact_443_splitI,axiom,
! [F,A,B] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(F,A),B))
=> hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,F),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A),B))) ) ).
fof(fact_444_splitI,axiom,
! [F,A,B] :
( hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(F,A),B))
=> hBOOL(hAPP_P1333315679l_bool(hAPP_f1525114763l_bool(produc70644925l_bool,F),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B))) ) ).
fof(fact_445_splitI,axiom,
! [F,A,B] :
( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(F,A),B))
=> hBOOL(hAPP_P71593144l_bool(hAPP_f1634841927l_bool(produc1491230096l_bool,F),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A),B))) ) ).
fof(fact_446_splitI,axiom,
! [F,A,B] :
( hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(F,A),B))
=> hBOOL(hAPP_P92196306r_bool(hAPP_f1613448899r_bool(produc2027921764r_bool,F),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A),B))) ) ).
fof(fact_447_splitI,axiom,
! [F,A,B] :
( hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(F,A),B))
=> hBOOL(hAPP_P1907982426r_bool(hAPP_f102021095r_bool(produc154616760r_bool,F),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A),B))) ) ).
fof(fact_448_splitI,axiom,
! [F,A,B] :
( hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(F,A),B))
=> hBOOL(hAPP_P2118621157r_bool(hAPP_f1697332217r_bool(produc21910851r_bool,F),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A),B))) ) ).
fof(fact_449_splitI,axiom,
! [F,A,B] :
( hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(F,A),B))
=> hBOOL(hAPP_P943837928l_bool(hAPP_f340876351l_bool(produc1326056646l_bool,F),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A),B))) ) ).
fof(fact_450_splitI,axiom,
! [F,A,B] :
( hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(F,A),B))
=> hBOOL(hAPP_P929938951l_bool(hAPP_f1534412387l_bool(produc769963999l_bool,F),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),B))) ) ).
fof(fact_451_splitI,axiom,
! [F,A,B] :
( hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(F,A),B))
=> hBOOL(hAPP_P1235399154l_bool(hAPP_f1443410953l_bool(produc392960766l_bool,F),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A),B))) ) ).
fof(fact_452_splitI,axiom,
! [F,A,B] :
( hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(F,A),B))
=> hBOOL(hAPP_P449474095r_bool(hAPP_f2132060507r_bool(produc1704639885r_bool,F),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B))) ) ).
fof(fact_453_splitI,axiom,
! [F,A,B] :
( hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(F,A),B))
=> hBOOL(hAPP_P1680401186r_bool(hAPP_f952817385r_bool(produc723279022r_bool,F),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A),B))) ) ).
fof(fact_454_splitI,axiom,
! [F,A,B] :
( hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(F,A),B))
=> hBOOL(hAPP_P659547099r_bool(hAPP_f252398939r_bool(produc1324280167r_bool,F),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A),B))) ) ).
fof(fact_455_splitI,axiom,
! [F,A,B] :
( hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(F,A),B))
=> hBOOL(hAPP_P828904212r_bool(hAPP_f895126887r_bool(produc1596557472r_bool,F),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A),B))) ) ).
fof(fact_456_splitI,axiom,
! [F,A,B] :
( hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(F,A),B))
=> hBOOL(hAPP_P2014166431r_bool(hAPP_f1484794973r_bool(produc1732333873r_bool,F),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A),B))) ) ).
fof(fact_457_splitI,axiom,
! [F,A,B] :
( hBOOL(hAPP_val_bool(hAPP_P486515074l_bool(F,A),B))
=> hBOOL(hAPP_P1070896250l_bool(hAPP_f1663301111l_bool(produc1873777030l_bool,F),hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,A),B))) ) ).
fof(fact_458_exp_Osimps_I90_J,axiom,
! [Val_19,Exp_53] : hAPP_v834067052t_char(val_list_char,Val_19) != throw_list_char(Exp_53) ).
fof(fact_459_exp_Osimps_I91_J,axiom,
! [Exp_52,Val_18] : throw_list_char(Exp_52) != hAPP_v834067052t_char(val_list_char,Val_18) ).
fof(fact_460_exp_Osimps_I88_J,axiom,
! [Val_17,Exp1_107,Exp2_107] : hAPP_v834067052t_char(val_list_char,Val_17) != while_list_char(Exp1_107,Exp2_107) ).
fof(fact_461_exp_Osimps_I221_J,axiom,
! [Exp_51,Exp1_106,Exp2_106] : throw_list_char(Exp_51) != while_list_char(Exp1_106,Exp2_106) ).
fof(fact_462_exp_Osimps_I86_J,axiom,
! [Val_16,Exp1_105,Exp2_105,Exp3_19] : hAPP_v834067052t_char(val_list_char,Val_16) != cond_list_char(Exp1_105,Exp2_105,Exp3_19) ).
fof(fact_463_exp_Osimps_I217_J,axiom,
! [Exp_50,Exp1_104,Exp2_104,Exp3_18] : throw_list_char(Exp_50) != cond_list_char(Exp1_104,Exp2_104,Exp3_18) ).
fof(fact_464_exp_Osimps_I220_J,axiom,
! [Exp1_103,Exp2_103,Exp_49] : while_list_char(Exp1_103,Exp2_103) != throw_list_char(Exp_49) ).
fof(fact_465_exp_Osimps_I89_J,axiom,
! [Exp1_102,Exp2_102,Val_15] : while_list_char(Exp1_102,Exp2_102) != hAPP_v834067052t_char(val_list_char,Val_15) ).
fof(fact_466_mem__def,axiom,
! [X_2,A_22] :
( hBOOL(member1783291580har_ty(X_2,A_22))
<=> hBOOL(hAPP_P27757617y_bool(A_22,X_2)) ) ).
fof(fact_467_mem__def,axiom,
! [X_2,A_22] :
( hBOOL(member503779467har_ty(X_2,A_22))
<=> hBOOL(hAPP_P748443392y_bool(A_22,X_2)) ) ).
fof(fact_468_mem__def,axiom,
! [X_2,A_22] :
( hBOOL(member649088532al_val(X_2,A_22))
<=> hBOOL(hAPP_P929938951l_bool(A_22,X_2)) ) ).
fof(fact_469_mem__def,axiom,
! [X_2,A_22] :
( hBOOL(member619264020ar_val(X_2,A_22))
<=> hBOOL(hAPP_P439015943l_bool(A_22,X_2)) ) ).
fof(fact_470_mem__def,axiom,
! [X_2,A_22] :
( hBOOL(member1999287380t_char(X_2,A_22))
<=> hBOOL(hAPP_P1002912327r_bool(A_22,X_2)) ) ).
fof(fact_471_mem__def,axiom,
! [X_2,A_22] :
( hBOOL(member1551446420t_char(X_2,A_22))
<=> hBOOL(hAPP_P801803911r_bool(A_22,X_2)) ) ).
fof(fact_472_mem__def,axiom,
! [X_2,A_22] :
( hBOOL(member1607118676t_char(X_2,A_22))
<=> hBOOL(hAPP_P929449287r_bool(A_22,X_2)) ) ).
fof(fact_473_mem__def,axiom,
! [X_2,A_22] :
( hBOOL(member162552852t_char(X_2,A_22))
<=> hBOOL(hAPP_P975284999r_bool(A_22,X_2)) ) ).
fof(fact_474_mem__def,axiom,
! [X_2,A_22] :
( hBOOL(member794220506t_char(X_2,A_22))
<=> hBOOL(hAPP_P2010574925r_bool(A_22,X_2)) ) ).
fof(fact_475_mem__def,axiom,
! [X_2,A_22] :
( hBOOL(member1322055188on_val(X_2,A_22))
<=> hBOOL(hAPP_P124632071l_bool(A_22,X_2)) ) ).
fof(fact_476_mem__def,axiom,
! [X_2,A_22] :
( hBOOL(member837208074al_val(X_2,A_22))
<=> hBOOL(hAPP_P2123002749l_bool(A_22,X_2)) ) ).
fof(fact_477_mem__def,axiom,
! [X_2,A_22] :
( hBOOL(member1732271180al_val(X_2,A_22))
<=> hBOOL(hAPP_P738987199l_bool(A_22,X_2)) ) ).
fof(fact_478_mem__def,axiom,
! [X_2,A_22] :
( hBOOL(member1161907014t_char(X_2,A_22))
<=> hBOOL(hAPP_P1183499705r_bool(A_22,X_2)) ) ).
fof(fact_479_mem__def,axiom,
! [X_2,A_22] :
( hBOOL(member125098544t_char(X_2,A_22))
<=> hBOOL(hAPP_P1240100515r_bool(A_22,X_2)) ) ).
fof(fact_480_mem__def,axiom,
! [X_2,A_22] :
( hBOOL(member1420286996t_char(X_2,A_22))
<=> hBOOL(hAPP_P824029447r_bool(A_22,X_2)) ) ).
fof(fact_481_mem__def,axiom,
! [X_2,A_22] :
( hBOOL(member88670778on_val(X_2,A_22))
<=> hBOOL(hAPP_P2028072621l_bool(A_22,X_2)) ) ).
fof(fact_482_mem__def,axiom,
! [X_2,A_22] :
( hBOOL(member808015754on_val(X_2,A_22))
<=> hBOOL(hAPP_P378063101l_bool(A_22,X_2)) ) ).
fof(fact_483_mem__def,axiom,
! [X_2,A_22] :
( hBOOL(member563141460on_val(X_2,A_22))
<=> hBOOL(hAPP_P1221872711l_bool(A_22,X_2)) ) ).
fof(fact_484_mem__def,axiom,
! [X_2,A_22] :
( hBOOL(member806854661ar_val(X_2,A_22))
<=> hBOOL(hAPP_P1070896250l_bool(A_22,X_2)) ) ).
fof(fact_485_mem__def,axiom,
! [X_2,A_22] :
( hBOOL(member1840112042t_char(X_2,A_22))
<=> hBOOL(hAPP_P2014166431r_bool(A_22,X_2)) ) ).
fof(fact_486_mem__def,axiom,
! [X_2,A_22] :
( hBOOL(member1379348767t_char(X_2,A_22))
<=> hBOOL(hAPP_P828904212r_bool(A_22,X_2)) ) ).
fof(fact_487_mem__def,axiom,
! [X_2,A_22] :
( hBOOL(member1771544038t_char(X_2,A_22))
<=> hBOOL(hAPP_P659547099r_bool(A_22,X_2)) ) ).
fof(fact_488_mem__def,axiom,
! [X_2,A_22] :
( hBOOL(member1542417277on_val(X_2,A_22))
<=> hBOOL(hAPP_P1235399154l_bool(A_22,X_2)) ) ).
fof(fact_489_mem__def,axiom,
! [X_2,A_22] :
( hBOOL(member1417904245al_val(X_2,A_22))
<=> hBOOL(hAPP_P943837928l_bool(A_22,X_2)) ) ).
fof(fact_490_mem__def,axiom,
! [X_2,A_22] :
( hBOOL(member699351154t_char(X_2,A_22))
<=> hBOOL(hAPP_P2118621157r_bool(A_22,X_2)) ) ).
fof(fact_491_mem__def,axiom,
! [X_2,A_22] :
( hBOOL(member140606439t_char(X_2,A_22))
<=> hBOOL(hAPP_P1907982426r_bool(A_22,X_2)) ) ).
fof(fact_492_mem__def,axiom,
! [X_2,A_22] :
( hBOOL(member133545693t_char(X_2,A_22))
<=> hBOOL(hAPP_P92196306r_bool(A_22,X_2)) ) ).
fof(fact_493_mem__def,axiom,
! [X_2,A_22] :
( hBOOL(member1972431429on_val(X_2,A_22))
<=> hBOOL(hAPP_P71593144l_bool(A_22,X_2)) ) ).
fof(fact_494_mem__def,axiom,
! [X_2,A_22] :
( hBOOL(member840932460on_val(X_2,A_22))
<=> hBOOL(hAPP_P1708370145l_bool(A_22,X_2)) ) ).
fof(fact_495_mem__def,axiom,
! [X_2,A_22] :
( hBOOL(member763590124on_val(X_2,A_22))
<=> hBOOL(hAPP_P159683425l_bool(A_22,X_2)) ) ).
fof(fact_496_mem__def,axiom,
! [X_2,A_22] :
( hBOOL(member773094996on_val(X_2,A_22))
<=> hBOOL(hAPP_P282169671l_bool(A_22,X_2)) ) ).
fof(fact_497_mem__def,axiom,
! [X_2,A_22] :
( hBOOL(member875476972on_val(X_2,A_22))
<=> hBOOL(hAPP_P1333315679l_bool(A_22,X_2)) ) ).
fof(fact_498_mem__def,axiom,
! [X_2,A_22] :
( hBOOL(member1251428284t_char(X_2,A_22))
<=> hBOOL(hAPP_P449474095r_bool(A_22,X_2)) ) ).
fof(fact_499_mem__def,axiom,
! [X_2,A_22] :
( hBOOL(member_list_char(X_2,A_22))
<=> hBOOL(hAPP_list_char_bool(A_22,X_2)) ) ).
fof(fact_500_mem__def,axiom,
! [X_2,A_22] :
( hBOOL(member1467889965t_char(X_2,A_22))
<=> hBOOL(hAPP_P1680401186r_bool(A_22,X_2)) ) ).
fof(fact_501_mem__def,axiom,
! [X_2,A_22] :
( hBOOL(member1601084734t_char(X_2,A_22))
<=> hBOOL(hAPP_P1384137393r_bool(A_22,X_2)) ) ).
fof(fact_502_Collect__def,axiom,
! [Pa] : collect_ty(Pa) = Pa ).
fof(fact_503_exp_Osimps_I215_J,axiom,
! [Exp1_101,Exp2_101,Exp1_100,Exp2_100,Exp3_17] : while_list_char(Exp1_101,Exp2_101) != cond_list_char(Exp1_100,Exp2_100,Exp3_17) ).
fof(fact_504_exp_Osimps_I216_J,axiom,
! [Exp1_99,Exp2_99,Exp3_16,Exp_48] : cond_list_char(Exp1_99,Exp2_99,Exp3_16) != throw_list_char(Exp_48) ).
fof(fact_505_exp_Osimps_I87_J,axiom,
! [Exp1_98,Exp2_98,Exp3_15,Val_14] : cond_list_char(Exp1_98,Exp2_98,Exp3_15) != hAPP_v834067052t_char(val_list_char,Val_14) ).
fof(fact_506_exp_Osimps_I214_J,axiom,
! [Exp1_97,Exp2_97,Exp3_14,Exp1_96,Exp2_96] : cond_list_char(Exp1_97,Exp2_97,Exp3_14) != while_list_char(Exp1_96,Exp2_96) ).
fof(fact_507_exp_Osimps_I3_J,axiom,
! [Val_13,Val_12] :
( hAPP_v834067052t_char(val_list_char,Val_13) = hAPP_v834067052t_char(val_list_char,Val_12)
<=> Val_13 = Val_12 ) ).
fof(fact_508_exp_Osimps_I14_J,axiom,
! [Exp_29,Exp_28] :
( throw_list_char(Exp_29) = throw_list_char(Exp_28)
<=> Exp_29 = Exp_28 ) ).
fof(fact_509_exp_Osimps_I13_J,axiom,
! [Exp1_61,Exp2_61,Exp1_60,Exp2_60] :
( while_list_char(Exp1_61,Exp2_61) = while_list_char(Exp1_60,Exp2_60)
<=> ( Exp1_61 = Exp1_60
& Exp2_61 = Exp2_60 ) ) ).
fof(fact_510_exp_Osimps_I12_J,axiom,
! [Exp1_61,Exp2_61,Exp3_13,Exp1_60,Exp2_60,Exp3_12] :
( cond_list_char(Exp1_61,Exp2_61,Exp3_13) = cond_list_char(Exp1_60,Exp2_60,Exp3_12)
<=> ( Exp1_61 = Exp1_60
& Exp2_61 = Exp2_60
& Exp3_13 = Exp3_12 ) ) ).
fof(fact_511_internal__split__def,axiom,
produc1373896038har_ty = produc1096552923har_ty ).
fof(fact_512_internal__split__def,axiom,
produc448987860har_ty = produc499452831har_ty ).
fof(fact_513_internal__split__def,axiom,
produc1626136111har_ty = produc2074304634har_ty ).
fof(fact_514_internal__split__def,axiom,
produc2046300823y_bool = produc1322037260y_bool ).
fof(fact_515_internal__split__def,axiom,
produc1055753489l_bool = produc1873777030l_bool ).
fof(fact_516_internal__split__def,axiom,
produc181628604r_bool = produc1732333873r_bool ).
fof(fact_517_internal__split__def,axiom,
produc538535851r_bool = produc1596557472r_bool ).
fof(fact_518_internal__split__def,axiom,
produc181333746r_bool = produc1324280167r_bool ).
fof(fact_519_internal__split__def,axiom,
produc1186154681r_bool = produc723279022r_bool ).
fof(fact_520_internal__split__def,axiom,
produc1779501634r_bool = produc1704639885r_bool ).
fof(fact_521_internal__split__def,axiom,
produc1741654153l_bool = produc392960766l_bool ).
fof(fact_522_internal__split__def,axiom,
produc1401528596l_bool = produc769963999l_bool ).
fof(fact_523_internal__split__def,axiom,
produc85367547l_bool = produc1326056646l_bool ).
fof(fact_524_internal__split__def,axiom,
produc684674552r_bool = produc21910851r_bool ).
fof(fact_525_internal__split__def,axiom,
produc1657965293r_bool = produc154616760r_bool ).
fof(fact_526_internal__split__def,axiom,
produc19303535r_bool = produc2027921764r_bool ).
fof(fact_527_internal__split__def,axiom,
produc1631960005l_bool = produc1491230096l_bool ).
fof(fact_528_internal__split__def,axiom,
produc2085082994l_bool = produc70644925l_bool ).
fof(fact_529_internal__split__def,axiom,
produc399384568l_bool = produc1815960045l_bool ).
fof(fact_530_internal__split__def,axiom,
produc1988544340l_bool = produc1911463199l_bool ).
fof(fact_531_internal__split__def,axiom,
produc2128769400l_bool = produc1958875245l_bool ).
fof(fact_532_internal__split__def,axiom,
produc1577326610ion_ty = produc907433735ion_ty ).
fof(fact_533_internal__split__def,axiom,
produc1713493127ar_val = produc1553344466ar_val ).
fof(fact_534_split__weak__cong,axiom,
! [C_1,P_1,Q_2] :
( P_1 = Q_2
=> hAPP_P901867449har_ty(hAPP_f1303264185har_ty(produc1096552923har_ty,C_1),P_1) = hAPP_P901867449har_ty(hAPP_f1303264185har_ty(produc1096552923har_ty,C_1),Q_2) ) ).
fof(fact_535_split__weak__cong,axiom,
! [C_1,P_1,Q_2] :
( P_1 = Q_2
=> hAPP_P385447595har_ty(hAPP_f513000995har_ty(produc499452831har_ty,C_1),P_1) = hAPP_P385447595har_ty(hAPP_f513000995har_ty(produc499452831har_ty,C_1),Q_2) ) ).
fof(fact_536_split__weak__cong,axiom,
! [C_1,P_1,Q_2] :
( P_1 = Q_2
=> hAPP_P71962758har_ty(hAPP_f909647877har_ty(produc2074304634har_ty,C_1),P_1) = hAPP_P71962758har_ty(hAPP_f909647877har_ty(produc2074304634har_ty,C_1),Q_2) ) ).
fof(fact_537_split__weak__cong,axiom,
! [C_1,P_1,Q_2] :
( P_1 = Q_2
=> ( hBOOL(hAPP_P748443392y_bool(hAPP_f695389733y_bool(produc1322037260y_bool,C_1),P_1))
<=> hBOOL(hAPP_P748443392y_bool(hAPP_f695389733y_bool(produc1322037260y_bool,C_1),Q_2)) ) ) ).
fof(fact_538_split__weak__cong,axiom,
! [C_1,P_1,Q_2] :
( P_1 = Q_2
=> ( hBOOL(hAPP_P1070896250l_bool(hAPP_f1663301111l_bool(produc1873777030l_bool,C_1),P_1))
<=> hBOOL(hAPP_P1070896250l_bool(hAPP_f1663301111l_bool(produc1873777030l_bool,C_1),Q_2)) ) ) ).
fof(fact_539_split__weak__cong,axiom,
! [C_1,P_1,Q_2] :
( P_1 = Q_2
=> ( hBOOL(hAPP_P2014166431r_bool(hAPP_f1484794973r_bool(produc1732333873r_bool,C_1),P_1))
<=> hBOOL(hAPP_P2014166431r_bool(hAPP_f1484794973r_bool(produc1732333873r_bool,C_1),Q_2)) ) ) ).
fof(fact_540_split__weak__cong,axiom,
! [C_1,P_1,Q_2] :
( P_1 = Q_2
=> ( hBOOL(hAPP_P828904212r_bool(hAPP_f895126887r_bool(produc1596557472r_bool,C_1),P_1))
<=> hBOOL(hAPP_P828904212r_bool(hAPP_f895126887r_bool(produc1596557472r_bool,C_1),Q_2)) ) ) ).
fof(fact_541_split__weak__cong,axiom,
! [C_1,P_1,Q_2] :
( P_1 = Q_2
=> ( hBOOL(hAPP_P659547099r_bool(hAPP_f252398939r_bool(produc1324280167r_bool,C_1),P_1))
<=> hBOOL(hAPP_P659547099r_bool(hAPP_f252398939r_bool(produc1324280167r_bool,C_1),Q_2)) ) ) ).
fof(fact_542_split__weak__cong,axiom,
! [C_1,P_1,Q_2] :
( P_1 = Q_2
=> ( hBOOL(hAPP_P1680401186r_bool(hAPP_f952817385r_bool(produc723279022r_bool,C_1),P_1))
<=> hBOOL(hAPP_P1680401186r_bool(hAPP_f952817385r_bool(produc723279022r_bool,C_1),Q_2)) ) ) ).
fof(fact_543_split__weak__cong,axiom,
! [C_1,P_1,Q_2] :
( P_1 = Q_2
=> ( hBOOL(hAPP_P449474095r_bool(hAPP_f2132060507r_bool(produc1704639885r_bool,C_1),P_1))
<=> hBOOL(hAPP_P449474095r_bool(hAPP_f2132060507r_bool(produc1704639885r_bool,C_1),Q_2)) ) ) ).
fof(fact_544_split__weak__cong,axiom,
! [C_1,P_1,Q_2] :
( P_1 = Q_2
=> ( hBOOL(hAPP_P1235399154l_bool(hAPP_f1443410953l_bool(produc392960766l_bool,C_1),P_1))
<=> hBOOL(hAPP_P1235399154l_bool(hAPP_f1443410953l_bool(produc392960766l_bool,C_1),Q_2)) ) ) ).
fof(fact_545_split__weak__cong,axiom,
! [C_1,P_1,Q_2] :
( P_1 = Q_2
=> ( hBOOL(hAPP_P929938951l_bool(hAPP_f1534412387l_bool(produc769963999l_bool,C_1),P_1))
<=> hBOOL(hAPP_P929938951l_bool(hAPP_f1534412387l_bool(produc769963999l_bool,C_1),Q_2)) ) ) ).
fof(fact_546_split__weak__cong,axiom,
! [C_1,P_1,Q_2] :
( P_1 = Q_2
=> ( hBOOL(hAPP_P943837928l_bool(hAPP_f340876351l_bool(produc1326056646l_bool,C_1),P_1))
<=> hBOOL(hAPP_P943837928l_bool(hAPP_f340876351l_bool(produc1326056646l_bool,C_1),Q_2)) ) ) ).
fof(fact_547_split__weak__cong,axiom,
! [C_1,P_1,Q_2] :
( P_1 = Q_2
=> ( hBOOL(hAPP_P2118621157r_bool(hAPP_f1697332217r_bool(produc21910851r_bool,C_1),P_1))
<=> hBOOL(hAPP_P2118621157r_bool(hAPP_f1697332217r_bool(produc21910851r_bool,C_1),Q_2)) ) ) ).
fof(fact_548_split__weak__cong,axiom,
! [C_1,P_1,Q_2] :
( P_1 = Q_2
=> ( hBOOL(hAPP_P1907982426r_bool(hAPP_f102021095r_bool(produc154616760r_bool,C_1),P_1))
<=> hBOOL(hAPP_P1907982426r_bool(hAPP_f102021095r_bool(produc154616760r_bool,C_1),Q_2)) ) ) ).
fof(fact_549_split__weak__cong,axiom,
! [C_1,P_1,Q_2] :
( P_1 = Q_2
=> ( hBOOL(hAPP_P92196306r_bool(hAPP_f1613448899r_bool(produc2027921764r_bool,C_1),P_1))
<=> hBOOL(hAPP_P92196306r_bool(hAPP_f1613448899r_bool(produc2027921764r_bool,C_1),Q_2)) ) ) ).
fof(fact_550_split__weak__cong,axiom,
! [C_1,P_1,Q_2] :
( P_1 = Q_2
=> ( hBOOL(hAPP_P71593144l_bool(hAPP_f1634841927l_bool(produc1491230096l_bool,C_1),P_1))
<=> hBOOL(hAPP_P71593144l_bool(hAPP_f1634841927l_bool(produc1491230096l_bool,C_1),Q_2)) ) ) ).
fof(fact_551_split__weak__cong,axiom,
! [C_1,P_1,Q_2] :
( P_1 = Q_2
=> ( hBOOL(hAPP_P1333315679l_bool(hAPP_f1525114763l_bool(produc70644925l_bool,C_1),P_1))
<=> hBOOL(hAPP_P1333315679l_bool(hAPP_f1525114763l_bool(produc70644925l_bool,C_1),Q_2)) ) ) ).
fof(fact_552_split__weak__cong,axiom,
! [C_1,P_1,Q_2] :
( P_1 = Q_2
=> ( hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,C_1),P_1))
<=> hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,C_1),Q_2)) ) ) ).
fof(fact_553_split__weak__cong,axiom,
! [C_1,P_1,Q_2] :
( P_1 = Q_2
=> ( hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,C_1),P_1))
<=> hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,C_1),Q_2)) ) ) ).
fof(fact_554_split__weak__cong,axiom,
! [C_1,P_1,Q_2] :
( P_1 = Q_2
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,C_1),P_1))
<=> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,C_1),Q_2)) ) ) ).
fof(fact_555_split__weak__cong,axiom,
! [C_1,P_1,Q_2] :
( P_1 = Q_2
=> hAPP_P1228500987ion_ty(hAPP_f46308763ion_ty(produc907433735ion_ty,C_1),P_1) = hAPP_P1228500987ion_ty(hAPP_f46308763ion_ty(produc907433735ion_ty,C_1),Q_2) ) ).
fof(fact_556_split__weak__cong,axiom,
! [C_1,P_1,Q_2] :
( P_1 = Q_2
=> hAPP_P841862366ar_val(hAPP_f1295640803ar_val(produc1553344466ar_val,C_1),P_1) = hAPP_P841862366ar_val(hAPP_f1295640803ar_val(produc1553344466ar_val,C_1),Q_2) ) ).
fof(fact_557_split__twice,axiom,
! [F,G,P_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F),hAPP_P294971854on_val(hAPP_f1090181127on_val(produc996400752on_val,G),P_1)))
<=> hBOOL(hAPP_P943837928l_bool(hAPP_f340876351l_bool(produc1326056646l_bool,hAPP_f1150574413l_bool(hAPP_f295212021l_bool(cOMBB_1150072860ol_bop,hAPP_f1936466825l_bool(cOMBB_840638159al_val,hAPP_f2121594859l_bool(produc1958875245l_bool,F))),G)),P_1)) ) ).
fof(fact_558_split__twice,axiom,
! [F,G,P_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F),hAPP_P214139537on_val(hAPP_f1679543815on_val(produc2083294131on_val,G),P_1)))
<=> hBOOL(hAPP_P2118621157r_bool(hAPP_f1697332217r_bool(produc21910851r_bool,hAPP_f1339377933r_bool(hAPP_f1165187701r_bool(cOMBB_1124198201st_val,hAPP_f106757449r_bool(cOMBB_1539035119t_char,hAPP_f2121594859l_bool(produc1958875245l_bool,F))),G)),P_1)) ) ).
fof(fact_559_split__twice,axiom,
! [F,G,P_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F),hAPP_P216502748on_val(hAPP_f505735499on_val(produc534648062on_val,G),P_1)))
<=> hBOOL(hAPP_P1907982426r_bool(hAPP_f102021095r_bool(produc154616760r_bool,hAPP_f1944156365r_bool(hAPP_f918235057r_bool(cOMBB_1843549548ist_ty,hAPP_f1346522053r_bool(cOMBB_1115744685t_char,hAPP_f2121594859l_bool(produc1958875245l_bool,F))),G)),P_1)) ) ).
fof(fact_560_split__twice,axiom,
! [F,G,P_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F),hAPP_P94592612on_val(hAPP_f2030092415on_val(produc726497362on_val,G),P_1)))
<=> hBOOL(hAPP_P92196306r_bool(hAPP_f1613448899r_bool(produc2027921764r_bool,hAPP_f829041291r_bool(hAPP_f1691034591r_bool(cOMBB_889837233t_char,hAPP_f1096084527r_bool(cOMBB_1980206754t_char,hAPP_f2121594859l_bool(produc1958875245l_bool,F))),G)),P_1)) ) ).
fof(fact_561_split__twice,axiom,
! [F,G,P_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F),hAPP_P1892658174on_val(hAPP_f797861231on_val(produc1450794278on_val,G),P_1)))
<=> hBOOL(hAPP_P71593144l_bool(hAPP_f1634841927l_bool(produc1491230096l_bool,hAPP_f896993613l_bool(hAPP_f219814819l_bool(cOMBB_143000234t_char,hAPP_f1825030711l_bool(cOMBB_877741809on_val,hAPP_f2121594859l_bool(produc1958875245l_bool,F))),G)),P_1)) ) ).
fof(fact_562_split__twice,axiom,
! [F,G,P_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F),hAPP_P931655063on_val(hAPP_f599509029on_val(produc653117369on_val,G),P_1)))
<=> hBOOL(hAPP_P1333315679l_bool(hAPP_f1525114763l_bool(produc70644925l_bool,hAPP_f1909521165l_bool(hAPP_f1779944471l_bool(cOMBB_607314500on_val,hAPP_f2131288811l_bool(cOMBB_1173566976on_val,hAPP_f2121594859l_bool(produc1958875245l_bool,F))),G)),P_1)) ) ).
fof(fact_563_split__twice,axiom,
! [F,G,P_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F),hAPP_P789556885on_val(hAPP_f1520199827on_val(produc1174947465on_val,G),P_1)))
<=> hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,hAPP_f653692369l_bool(hAPP_f516738477l_bool(cOMBB_819439237t_char,hAPP_f1825030711l_bool(cOMBB_877741809on_val,hAPP_f2121594859l_bool(produc1958875245l_bool,F))),G)),P_1)) ) ).
fof(fact_564_split__twice,axiom,
! [F,G,P_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F),hAPP_P1760219823on_val(hAPP_f394183983on_val(produc1003071703on_val,G),P_1)))
<=> hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,hAPP_f1241216909l_bool(hAPP_f1438732387l_bool(cOMBB_635947099on_val,hAPP_f881985847l_bool(cOMBB_1083177073on_val,hAPP_f2121594859l_bool(produc1958875245l_bool,F))),G)),P_1)) ) ).
fof(fact_565_split__twice,axiom,
! [F,G,P_1] : hAPP_P841862366ar_val(hAPP_f1295640803ar_val(produc1553344466ar_val,F),hAPP_P71962758har_ty(hAPP_f909647877har_ty(produc2074304634har_ty,G),P_1)) = hAPP_P1057393871ar_val(hAPP_f528845893ar_val(produc2026840771ar_val,hAPP_f1286352408ar_val(hAPP_f922986761ar_val(cOMBB_491542469t_char,hAPP_f1061710805ar_val(cOMBB_239784108val_ty,hAPP_f1295640803ar_val(produc1553344466ar_val,F))),G)),P_1) ).
fof(fact_566_split__twice,axiom,
! [F,G,P_1] : hAPP_P1409535266har_ty(hAPP_f533118691har_ty(produc1582135574har_ty,F),hAPP_P841862366ar_val(hAPP_f1295640803ar_val(produc1553344466ar_val,G),P_1)) = hAPP_P385447595har_ty(hAPP_f513000995har_ty(produc499452831har_ty,hAPP_f1820012432har_ty(hAPP_f1720458941har_ty(cOMBB_424865560t_char,hAPP_f393578581har_ty(cOMBB_1320677736_ty_ty,hAPP_f533118691har_ty(produc1582135574har_ty,F))),G)),P_1) ).
fof(fact_567_split__twice,axiom,
! [F,G,P_1] :
( hBOOL(hAPP_P1070896250l_bool(hAPP_f1663301111l_bool(produc1873777030l_bool,F),hAPP_P841862366ar_val(hAPP_f1295640803ar_val(produc1553344466ar_val,G),P_1)))
<=> hBOOL(hAPP_P27757617y_bool(hAPP_f201105125y_bool(produc1851383869y_bool,hAPP_f1796274104y_bool(hAPP_f1589954605y_bool(cOMBB_1380239526t_char,hAPP_f1391360361y_bool(cOMBB_1881684336ool_ty,hAPP_f1663301111l_bool(produc1873777030l_bool,F))),G)),P_1)) ) ).
fof(fact_568_split__twice,axiom,
! [F,G,P_1] :
( hBOOL(hAPP_P748443392y_bool(hAPP_f695389733y_bool(produc1322037260y_bool,F),hAPP_P1571579700har_ty(hAPP_f1301228297har_ty(produc1250213160har_ty,G),P_1)))
<=> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f1617838686l_bool(hAPP_f1740025881l_bool(cOMBB_1511810527on_val,hAPP_f86617653l_bool(cOMBB_165135181on_val,hAPP_f695389733y_bool(produc1322037260y_bool,F))),G)),P_1)) ) ).
fof(fact_569_split__twice,axiom,
! [F,G,P_1] :
( hBOOL(hAPP_P1070896250l_bool(hAPP_f1663301111l_bool(produc1873777030l_bool,F),hAPP_P1143488942ar_val(hAPP_f1942188169ar_val(produc305181602ar_val,G),P_1)))
<=> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f1812276580l_bool(hAPP_f1292837529l_bool(cOMBB_238112345on_val,hAPP_f975490601l_bool(cOMBB_844549459on_val,hAPP_f1663301111l_bool(produc1873777030l_bool,F))),G)),P_1)) ) ).
fof(fact_570_split__twice,axiom,
! [F,G,P_1] :
( hBOOL(hAPP_P2014166431r_bool(hAPP_f1484794973r_bool(produc1732333873r_bool,F),hAPP_P1849356627t_char(hAPP_f1865872201t_char(produc1034582855t_char,G),P_1)))
<=> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f1351102847l_bool(hAPP_f1342439769l_bool(cOMBB_225914878on_val,hAPP_f99607667l_bool(cOMBB_1334418926on_val,hAPP_f1484794973r_bool(produc1732333873r_bool,F))),G)),P_1)) ) ).
fof(fact_571_split__twice,axiom,
! [F,G,P_1] :
( hBOOL(hAPP_P828904212r_bool(hAPP_f895126887r_bool(produc1596557472r_bool,F),hAPP_P256420168t_char(hAPP_f2107248649t_char(produc1842330940t_char,G),P_1)))
<=> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f337607754l_bool(hAPP_f1546157465l_bool(cOMBB_955482355on_val,hAPP_f1809473245l_bool(cOMBB_1452070457on_val,hAPP_f895126887r_bool(produc1596557472r_bool,F))),G)),P_1)) ) ).
fof(fact_572_split__twice,axiom,
! [F,G,P_1] :
( hBOOL(hAPP_P659547099r_bool(hAPP_f252398939r_bool(produc1324280167r_bool,F),hAPP_P1548494223t_char(hAPP_f681548873t_char(produc2036010883t_char,G),P_1)))
<=> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f1525647939l_bool(hAPP_f1338219097l_bool(cOMBB_2122619962on_val,hAPP_f2114578667l_bool(cOMBB_914590898on_val,hAPP_f252398939r_bool(produc1324280167r_bool,F))),G)),P_1)) ) ).
fof(fact_573_split__twice,axiom,
! [F,G,P_1] :
( hBOOL(hAPP_P1680401186r_bool(hAPP_f952817385r_bool(produc723279022r_bool,F),hAPP_P894177366t_char(hAPP_f1644828553t_char(produc323997770t_char,G),P_1)))
<=> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f1158121916l_bool(hAPP_f527861785l_bool(cOMBB_625124865on_val,hAPP_f1566130425l_bool(cOMBB_247395499on_val,hAPP_f952817385r_bool(produc723279022r_bool,F))),G)),P_1)) ) ).
fof(fact_574_split__twice,axiom,
! [F,G,P_1] :
( hBOOL(hAPP_P449474095r_bool(hAPP_f2132060507r_bool(produc1704639885r_bool,F),hAPP_P193916115t_char(hAPP_f15579599t_char(produc576623071t_char,G),P_1)))
<=> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f1996106275l_bool(hAPP_f1550515381l_bool(cOMBB_2040779506on_val,hAPP_f1804599279l_bool(cOMBB_678146046on_val,hAPP_f2132060507r_bool(produc1704639885r_bool,F))),G)),P_1)) ) ).
fof(fact_575_split__twice,axiom,
! [F,G,P_1] :
( hBOOL(hAPP_P1235399154l_bool(hAPP_f1443410953l_bool(produc392960766l_bool,F),hAPP_P1936714534on_val(hAPP_f1271281289on_val(produc928527642on_val,G),P_1)))
<=> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f1145600492l_bool(hAPP_f630712985l_bool(cOMBB_1962662865on_val,hAPP_f2020099865l_bool(cOMBB_1543649755on_val,hAPP_f1443410953l_bool(produc392960766l_bool,F))),G)),P_1)) ) ).
fof(fact_576_split__twice,axiom,
! [F,G,P_1] :
( hBOOL(hAPP_P929938951l_bool(hAPP_f1534412387l_bool(produc769963999l_bool,F),hAPP_P2013623467al_val(hAPP_f902010623al_val(produc1260869559al_val,G),P_1)))
<=> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f1153851723l_bool(hAPP_f151189509l_bool(cOMBB_223841226on_val,hAPP_f1589017327l_bool(cOMBB_558176806on_val,hAPP_f1534412387l_bool(produc769963999l_bool,F))),G)),P_1)) ) ).
fof(fact_577_split__twice,axiom,
! [F,G,P_1] :
( hBOOL(hAPP_P943837928l_bool(hAPP_f340876351l_bool(produc1326056646l_bool,F),hAPP_P1067836940al_val(hAPP_f928795841al_val(produc234747160al_val,G),P_1)))
<=> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f828778154l_bool(hAPP_f1572306499l_bool(cOMBB_1210977579on_val,hAPP_f1777594159l_bool(cOMBB_448128005on_val,hAPP_f340876351l_bool(produc1326056646l_bool,F))),G)),P_1)) ) ).
fof(fact_578_split__twice,axiom,
! [F,G,P_1] :
( hBOOL(hAPP_P2118621157r_bool(hAPP_f1697332217r_bool(produc21910851r_bool,F),hAPP_P1871645065t_char(hAPP_f2116844091t_char(produc1139048085t_char,G),P_1)))
<=> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f1576637933l_bool(hAPP_f154583625l_bool(cOMBB_335252392on_val,hAPP_f737797743l_bool(cOMBB_1733006024on_val,hAPP_f1697332217r_bool(produc21910851r_bool,F))),G)),P_1)) ) ).
fof(fact_579_split__twice,axiom,
! [F,G,P_1] :
( hBOOL(hAPP_P1907982426r_bool(hAPP_f102021095r_bool(produc154616760r_bool,F),hAPP_P616991870t_char(hAPP_f1401070501t_char(produc493500298t_char,G),P_1)))
<=> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f1121261496l_bool(hAPP_f1331093087l_bool(cOMBB_1472123293on_val,hAPP_f962366127l_bool(cOMBB_95569939on_val,hAPP_f102021095r_bool(produc154616760r_bool,F))),G)),P_1)) ) ).
fof(fact_580_split__twice,axiom,
! [F,G,P_1] :
( hBOOL(hAPP_P92196306r_bool(hAPP_f1613448899r_bool(produc2027921764r_bool,F),hAPP_P1849522950t_char(hAPP_f314126729t_char(produc1597824762t_char,G),P_1)))
<=> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f1089411340l_bool(hAPP_f2012169497l_bool(cOMBB_1443356337on_val,hAPP_f764883801l_bool(cOMBB_1837440507on_val,hAPP_f1613448899r_bool(produc2027921764r_bool,F))),G)),P_1)) ) ).
fof(fact_581_split__twice,axiom,
! [F,G,P_1] :
( hBOOL(hAPP_P71593144l_bool(hAPP_f1634841927l_bool(produc1491230096l_bool,F),hAPP_P1963616220on_val(hAPP_f1027788897on_val(produc1202869992on_val,G),P_1)))
<=> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f556306650l_bool(hAPP_f1538372259l_bool(cOMBB_157777659on_val,hAPP_f1000925999l_bool(cOMBB_1466435125on_val,hAPP_f1634841927l_bool(produc1491230096l_bool,F))),G)),P_1)) ) ).
fof(fact_582_split__twice,axiom,
! [F,G,P_1] :
( hBOOL(hAPP_P1333315679l_bool(hAPP_f1525114763l_bool(produc70644925l_bool,F),hAPP_P963849987on_val(hAPP_f1239545903on_val(produc1476705295on_val,G),P_1)))
<=> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f1505175539l_bool(hAPP_f924423253l_bool(cOMBB_1330725154on_val,hAPP_f28987375l_bool(cOMBB_132741582on_val,hAPP_f1525114763l_bool(produc70644925l_bool,F))),G)),P_1)) ) ).
fof(fact_583_split__twice,axiom,
! [F,G,P_1] :
( hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,F),hAPP_P604205461on_val(hAPP_f1309113673on_val(produc901351817on_val,G),P_1)))
<=> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f850751421l_bool(hAPP_f399538905l_bool(cOMBB_1466889536on_val,hAPP_f1233687287l_bool(cOMBB_171276332on_val,hAPP_f1930574389l_bool(produc1815960045l_bool,F))),G)),P_1)) ) ).
fof(fact_584_split__twice,axiom,
! [F,G,P_1] :
( hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,F),hAPP_P2024243179on_val(hAPP_f204556415on_val(produc1148763895on_val,G),P_1)))
<=> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f927043595l_bool(hAPP_f1043869573l_bool(cOMBB_1259202826on_val,hAPP_f2052660463l_bool(cOMBB_1292453606on_val,hAPP_f635218277l_bool(produc1911463199l_bool,F))),G)),P_1)) ) ).
fof(fact_585_split__twice,axiom,
! [F,G,P_1] : hAPP_P532450504ar_val(hAPP_f65736581ar_val(produc615345852ar_val,F),hAPP_P385447595har_ty(hAPP_f513000995har_ty(produc499452831har_ty,G),P_1)) = hAPP_P841862366ar_val(hAPP_f1295640803ar_val(produc1553344466ar_val,hAPP_f1582750480ar_val(hAPP_f1761801623ar_val(cOMBB_510504510t_char,hAPP_f1675912277ar_val(cOMBB_351318850val_ty,hAPP_f65736581ar_val(produc615345852ar_val,F))),G)),P_1) ).
fof(fact_586_split__part,axiom,
! [Pa,Q_1,X_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f555424277l_bool(hAPP_f1734879897l_bool(cOMBB_1522540928on_val,hAPP_f1863694447l_bool(cOMBB_383678192on_val,hAPP_b589554111l_bool(fconj,Pa))),Q_1)),X_1))
<=> ( hBOOL(Pa)
& hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,Q_1),X_1)) ) ) ).
fof(fact_587_splitD,axiom,
! [F,A,B] :
( hBOOL(hAPP_P1070896250l_bool(hAPP_f1663301111l_bool(produc1873777030l_bool,F),hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,A),B)))
=> hBOOL(hAPP_val_bool(hAPP_P486515074l_bool(F,A),B)) ) ).
fof(fact_588_splitD,axiom,
! [F,A,B] :
( hBOOL(hAPP_P2014166431r_bool(hAPP_f1484794973r_bool(produc1732333873r_bool,F),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A),B)))
=> hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(F,A),B)) ) ).
fof(fact_589_splitD,axiom,
! [F,A,B] :
( hBOOL(hAPP_P828904212r_bool(hAPP_f895126887r_bool(produc1596557472r_bool,F),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A),B)))
=> hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(F,A),B)) ) ).
fof(fact_590_splitD,axiom,
! [F,A,B] :
( hBOOL(hAPP_P659547099r_bool(hAPP_f252398939r_bool(produc1324280167r_bool,F),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A),B)))
=> hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(F,A),B)) ) ).
fof(fact_591_splitD,axiom,
! [F,A,B] :
( hBOOL(hAPP_P1680401186r_bool(hAPP_f952817385r_bool(produc723279022r_bool,F),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A),B)))
=> hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(F,A),B)) ) ).
fof(fact_592_splitD,axiom,
! [F,A,B] :
( hBOOL(hAPP_P449474095r_bool(hAPP_f2132060507r_bool(produc1704639885r_bool,F),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B)))
=> hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(F,A),B)) ) ).
fof(fact_593_splitD,axiom,
! [F,A,B] :
( hBOOL(hAPP_P1235399154l_bool(hAPP_f1443410953l_bool(produc392960766l_bool,F),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A),B)))
=> hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(F,A),B)) ) ).
fof(fact_594_splitD,axiom,
! [F,A,B] :
( hBOOL(hAPP_P929938951l_bool(hAPP_f1534412387l_bool(produc769963999l_bool,F),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),B)))
=> hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(F,A),B)) ) ).
fof(fact_595_splitD,axiom,
! [F,A,B] :
( hBOOL(hAPP_P943837928l_bool(hAPP_f340876351l_bool(produc1326056646l_bool,F),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A),B)))
=> hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(F,A),B)) ) ).
fof(fact_596_splitD,axiom,
! [F,A,B] :
( hBOOL(hAPP_P2118621157r_bool(hAPP_f1697332217r_bool(produc21910851r_bool,F),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A),B)))
=> hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(F,A),B)) ) ).
fof(fact_597_splitD,axiom,
! [F,A,B] :
( hBOOL(hAPP_P1907982426r_bool(hAPP_f102021095r_bool(produc154616760r_bool,F),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A),B)))
=> hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(F,A),B)) ) ).
fof(fact_598_splitD,axiom,
! [F,A,B] :
( hBOOL(hAPP_P92196306r_bool(hAPP_f1613448899r_bool(produc2027921764r_bool,F),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A),B)))
=> hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(F,A),B)) ) ).
fof(fact_599_splitD,axiom,
! [F,A,B] :
( hBOOL(hAPP_P71593144l_bool(hAPP_f1634841927l_bool(produc1491230096l_bool,F),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A),B)))
=> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(F,A),B)) ) ).
fof(fact_600_splitD,axiom,
! [F,A,B] :
( hBOOL(hAPP_P1333315679l_bool(hAPP_f1525114763l_bool(produc70644925l_bool,F),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B)))
=> hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(F,A),B)) ) ).
fof(fact_601_splitD,axiom,
! [F,A,B] :
( hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,F),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A),B)))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(F,A),B)) ) ).
fof(fact_602_splitD,axiom,
! [F,A,B] :
( hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,F),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B)))
=> hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(F,A),B)) ) ).
fof(fact_603_splitD,axiom,
! [F,A,B] :
( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A),B)))
=> hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(F,A),B)) ) ).
fof(fact_604_prod_Osimps_I2_J,axiom,
! [F1,A,B] : hAPP_P841862366ar_val(hAPP_f1295640803ar_val(produc1553344466ar_val,F1),hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,A),B)) = hAPP_t97533526ar_val(hAPP_P221287148ar_val(F1,A),B) ).
fof(fact_605_prod_Osimps_I2_J,axiom,
! [F1,A,B] : hAPP_P1228500987ion_ty(hAPP_f46308763ion_ty(produc907433735ion_ty,F1),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A),B)) = hAPP_f652398900ion_ty(hAPP_l2000496933ion_ty(F1,A),B) ).
fof(fact_606_prod_Osimps_I2_J,axiom,
! [F1,A,B] :
( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A),B)))
<=> hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(F1,A),B)) ) ).
fof(fact_607_split__conv,axiom,
! [F,A,B] : hAPP_P841862366ar_val(hAPP_f1295640803ar_val(produc1553344466ar_val,F),hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,A),B)) = hAPP_t97533526ar_val(hAPP_P221287148ar_val(F,A),B) ).
fof(fact_608_split__conv,axiom,
! [F,A,B] : hAPP_P1228500987ion_ty(hAPP_f46308763ion_ty(produc907433735ion_ty,F),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A),B)) = hAPP_f652398900ion_ty(hAPP_l2000496933ion_ty(F,A),B) ).
fof(fact_609_split__conv,axiom,
! [F,A,B] :
( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,F),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A),B)))
<=> hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(F,A),B)) ) ).
fof(fact_610_exp_Osimps_I79_J,axiom,
! [Exp1_95,List1_31,List2_31,Exp2_95,Val_11] : fAss_list_char(Exp1_95,List1_31,List2_31,Exp2_95) != hAPP_v834067052t_char(val_list_char,Val_11) ).
fof(fact_611_exp_Osimps_I78_J,axiom,
! [Val_10,Exp1_94,List1_30,List2_30,Exp2_94] : hAPP_v834067052t_char(val_list_char,Val_10) != fAss_list_char(Exp1_94,List1_30,List2_30,Exp2_94) ).
fof(fact_612_exp_Osimps_I77_J,axiom,
! [Exp_47,List1_29,List2_29,Val_9] : fAcc_list_char(Exp_47,List1_29,List2_29) != hAPP_v834067052t_char(val_list_char,Val_9) ).
fof(fact_613_exp_Osimps_I76_J,axiom,
! [Val_8,Exp_46,List1_28,List2_28] : hAPP_v834067052t_char(val_list_char,Val_8) != fAcc_list_char(Exp_46,List1_28,List2_28) ).
fof(fact_614_exp_Osimps_I180_J,axiom,
! [Exp1_93,List1_27,List2_27,Exp2_93,Exp_45] : fAss_list_char(Exp1_93,List1_27,List2_27,Exp2_93) != throw_list_char(Exp_45) ).
fof(fact_615_exp_Osimps_I181_J,axiom,
! [Exp_44,Exp1_92,List1_26,List2_26,Exp2_92] : throw_list_char(Exp_44) != fAss_list_char(Exp1_92,List1_26,List2_26,Exp2_92) ).
fof(fact_616_red__reds_OCondThrow,axiom,
! [Eb,E_1,E_2,S,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(Eb),E_1,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S)),red(Pa))) ).
fof(fact_617_exp_Osimps_I166_J,axiom,
! [Exp_43,List1_25,List2_25,Exp_42] : fAcc_list_char(Exp_43,List1_25,List2_25) != throw_list_char(Exp_42) ).
fof(fact_618_exp_Osimps_I167_J,axiom,
! [Exp_41,Exp_40,List1_24,List2_24] : throw_list_char(Exp_41) != fAcc_list_char(Exp_40,List1_24,List2_24) ).
fof(fact_619_exp_Osimps_I176_J,axiom,
! [Exp1_91,List1_23,List2_23,Exp2_91,Exp1_90,Exp2_90,Exp3_11] : fAss_list_char(Exp1_91,List1_23,List2_23,Exp2_91) != cond_list_char(Exp1_90,Exp2_90,Exp3_11) ).
fof(fact_620_exp_Osimps_I178_J,axiom,
! [Exp1_89,List1_22,List2_22,Exp2_89,Exp1_88,Exp2_88] : fAss_list_char(Exp1_89,List1_22,List2_22,Exp2_89) != while_list_char(Exp1_88,Exp2_88) ).
fof(fact_621_exp_Osimps_I177_J,axiom,
! [Exp1_87,Exp2_87,Exp3_10,Exp1_86,List1_21,List2_21,Exp2_86] : cond_list_char(Exp1_87,Exp2_87,Exp3_10) != fAss_list_char(Exp1_86,List1_21,List2_21,Exp2_86) ).
fof(fact_622_exp_Osimps_I179_J,axiom,
! [Exp1_85,Exp2_85,Exp1_84,List1_20,List2_20,Exp2_84] : while_list_char(Exp1_85,Exp2_85) != fAss_list_char(Exp1_84,List1_20,List2_20,Exp2_84) ).
fof(fact_623_exp_Osimps_I162_J,axiom,
! [Exp_39,List1_19,List2_19,Exp1_83,Exp2_83,Exp3_9] : fAcc_list_char(Exp_39,List1_19,List2_19) != cond_list_char(Exp1_83,Exp2_83,Exp3_9) ).
fof(fact_624_exp_Osimps_I163_J,axiom,
! [Exp1_82,Exp2_82,Exp3_8,Exp_38,List1_18,List2_18] : cond_list_char(Exp1_82,Exp2_82,Exp3_8) != fAcc_list_char(Exp_38,List1_18,List2_18) ).
fof(fact_625_exp_Osimps_I164_J,axiom,
! [Exp_37,List1_17,List2_17,Exp1_81,Exp2_81] : fAcc_list_char(Exp_37,List1_17,List2_17) != while_list_char(Exp1_81,Exp2_81) ).
fof(fact_626_exp_Osimps_I165_J,axiom,
! [Exp1_80,Exp2_80,Exp_36,List1_16,List2_16] : while_list_char(Exp1_80,Exp2_80) != fAcc_list_char(Exp_36,List1_16,List2_16) ).
fof(fact_627_split__eta,axiom,
! [F] : hAPP_f1295640803ar_val(produc1553344466ar_val,hAPP_f2096521338ar_val(hAPP_f1210767211ar_val(cOMBB_1905001812t_char,hAPP_f1061710805ar_val(cOMBB_239784108val_ty,F)),produc1265154397har_ty)) = F ).
fof(fact_628_split__eta,axiom,
! [F] : hAPP_f46308763ion_ty(produc907433735ion_ty,hAPP_f802560783ion_ty(hAPP_f7643013ion_ty(cOMBB_864319000t_char,hAPP_f69964139ion_ty(cOMBB_2041093409on_val,F)),produc823076510on_val)) = F ).
fof(fact_629_split__eta,axiom,
! [F] : hAPP_f2121594859l_bool(produc1958875245l_bool,hAPP_f1363667773l_bool(hAPP_f1050935001l_bool(cOMBB_1153617344on_val,hAPP_f2057883639l_bool(cOMBB_1750801836on_val,F)),produc899768717on_val)) = F ).
fof(fact_630_red__reds_OFAssThrow2,axiom,
! [V_1,Fa,Da,Eb,S,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_1),Fa,Da,throw_list_char(Eb))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S)),red(Pa))) ).
fof(fact_631_red__reds_OThrowRed,axiom,
! [Eb,S,E_b,S_2,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2)),red(Pa)))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(E_b)),S_2)),red(Pa))) ) ).
fof(fact_632_red__reds_OThrowThrow,axiom,
! [Eb,S,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(Eb))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S)),red(Pa))) ).
fof(fact_633_red__reds_OCondRed,axiom,
! [E_1,E_2,Eb,S,E_b,S_2,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2)),red(Pa)))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(Eb,E_1,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(E_b,E_1,E_2)),S_2)),red(Pa))) ) ).
fof(fact_634_red__reds_OFAssThrow1,axiom,
! [Eb,Fa,Da,E_2,S,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(Eb),Fa,Da,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S)),red(Pa))) ).
fof(fact_635_WTrt__elim__cases_I3_J,axiom,
! [Pa,Hb,Ea,Eb,C_1,Ta] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,while_list_char(Eb,C_1)),Ta))
=> ~ ( Ta = void
=> ( hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,Eb),boolean))
=> ! [T_3] : ~ hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,C_1),T_3)) ) ) ) ).
fof(fact_636_WTrt__elim__cases_I2_J,axiom,
! [Pa,Hb,Ea,Eb,E_1,E_2,Ta] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,cond_list_char(Eb,E_1,E_2)),Ta))
=> ~ ( hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,Eb),boolean))
=> ! [T_1_1] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,E_1),T_1_1))
=> ! [T_2_1] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,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(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_2_1),T_1_1)) )
=> ( ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_1_1),T_2_1))
=> Ta = T_2_1 )
=> ~ ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_2_1),T_1_1))
=> Ta = T_1_1 ) ) ) ) ) ) ) ).
fof(fact_637_FAssRedsThrow2,axiom,
! [Fa,Da,E_2,Eb,S_2_1,E_1,S_0,V_1,S_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,hAPP_v834067052t_char(val_list_char,V_1)),S_1)),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)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),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,Fa,Da,E_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S_2_1)),transi2024712006on_val(red(Pa)))) ) ) ).
fof(fact_638_WhileRedsThrow,axiom,
! [C_1,B,S,Eb,S_2,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S_2)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,while_list_char(B,C_1)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S_2)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_639_FAccRedsThrow,axiom,
! [Fa,Da,Eb,S,A,S_2,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_2)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(Eb,Fa,Da)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_2)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_640_CondRedsThrow,axiom,
! [E_1,E_2,Eb,S,A,S_2,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_2)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(Eb,E_1,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_2)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_641_FAssRedsThrow1,axiom,
! [Fa,Da,E_2,Eb,S,E_b,S_2,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(E_b)),S_2)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(Eb,Fa,Da,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(E_b)),S_2)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_642_FAssReds2,axiom,
! [V_1,Fa,Da,Eb,S,E_b,S_2,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2)),transi2024712006on_val(red(Pa))))
=> hBOOL(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_1),Fa,Da,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(hAPP_v834067052t_char(val_list_char,V_1),Fa,Da,E_b)),S_2)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_643_splitE,axiom,
! [C_1,P_1] :
( hBOOL(hAPP_P1070896250l_bool(hAPP_f1663301111l_bool(produc1873777030l_bool,C_1),P_1))
=> ~ ! [X_1,Y_1] :
( P_1 = hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,X_1),Y_1)
=> ~ hBOOL(hAPP_val_bool(hAPP_P486515074l_bool(C_1,X_1),Y_1)) ) ) ).
fof(fact_644_splitE,axiom,
! [C_1,P_1] :
( hBOOL(hAPP_P2014166431r_bool(hAPP_f1484794973r_bool(produc1732333873r_bool,C_1),P_1))
=> ~ ! [X_1,Y_1] :
( P_1 = hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,X_1),Y_1)
=> ~ hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(C_1,X_1),Y_1)) ) ) ).
fof(fact_645_splitE,axiom,
! [C_1,P_1] :
( hBOOL(hAPP_P828904212r_bool(hAPP_f895126887r_bool(produc1596557472r_bool,C_1),P_1))
=> ~ ! [X_1,Y_1] :
( P_1 = hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,X_1),Y_1)
=> ~ hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(C_1,X_1),Y_1)) ) ) ).
fof(fact_646_splitE,axiom,
! [C_1,P_1] :
( hBOOL(hAPP_P659547099r_bool(hAPP_f252398939r_bool(produc1324280167r_bool,C_1),P_1))
=> ~ ! [X_1,Y_1] :
( P_1 = hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,X_1),Y_1)
=> ~ hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(C_1,X_1),Y_1)) ) ) ).
fof(fact_647_splitE,axiom,
! [C_1,P_1] :
( hBOOL(hAPP_P1680401186r_bool(hAPP_f952817385r_bool(produc723279022r_bool,C_1),P_1))
=> ~ ! [X_1,Y_1] :
( P_1 = hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,X_1),Y_1)
=> ~ hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(C_1,X_1),Y_1)) ) ) ).
fof(fact_648_splitE,axiom,
! [C_1,P_1] :
( hBOOL(hAPP_P449474095r_bool(hAPP_f2132060507r_bool(produc1704639885r_bool,C_1),P_1))
=> ~ ! [X_1,Y_1] :
( P_1 = hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,X_1),Y_1)
=> ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(C_1,X_1),Y_1)) ) ) ).
fof(fact_649_splitE,axiom,
! [C_1,P_1] :
( hBOOL(hAPP_P1235399154l_bool(hAPP_f1443410953l_bool(produc392960766l_bool,C_1),P_1))
=> ~ ! [X_1,Y_1] :
( P_1 = hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,X_1),Y_1)
=> ~ hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(C_1,X_1),Y_1)) ) ) ).
fof(fact_650_splitE,axiom,
! [C_1,P_1] :
( hBOOL(hAPP_P929938951l_bool(hAPP_f1534412387l_bool(produc769963999l_bool,C_1),P_1))
=> ~ ! [X_1,Y_1] :
( P_1 = hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,X_1),Y_1)
=> ~ hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(C_1,X_1),Y_1)) ) ) ).
fof(fact_651_splitE,axiom,
! [C_1,P_1] :
( hBOOL(hAPP_P943837928l_bool(hAPP_f340876351l_bool(produc1326056646l_bool,C_1),P_1))
=> ~ ! [X_1,Y_1] :
( is_bop(X_1)
=> ( P_1 = hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,X_1),Y_1)
=> ~ hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(C_1,X_1),Y_1)) ) ) ) ).
fof(fact_652_splitE,axiom,
! [C_1,P_1] :
( hBOOL(hAPP_P2118621157r_bool(hAPP_f1697332217r_bool(produc21910851r_bool,C_1),P_1))
=> ~ ! [X_1,Y_1] :
( P_1 = hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,X_1),Y_1)
=> ~ hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(C_1,X_1),Y_1)) ) ) ).
fof(fact_653_splitE,axiom,
! [C_1,P_1] :
( hBOOL(hAPP_P1907982426r_bool(hAPP_f102021095r_bool(produc154616760r_bool,C_1),P_1))
=> ~ ! [X_1,Y_1] :
( P_1 = hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,X_1),Y_1)
=> ~ hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(C_1,X_1),Y_1)) ) ) ).
fof(fact_654_splitE,axiom,
! [C_1,P_1] :
( hBOOL(hAPP_P92196306r_bool(hAPP_f1613448899r_bool(produc2027921764r_bool,C_1),P_1))
=> ~ ! [X_1,Y_1] :
( P_1 = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,X_1),Y_1)
=> ~ hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(C_1,X_1),Y_1)) ) ) ).
fof(fact_655_splitE,axiom,
! [C_1,P_1] :
( hBOOL(hAPP_P71593144l_bool(hAPP_f1634841927l_bool(produc1491230096l_bool,C_1),P_1))
=> ~ ! [X_1,Y_1] :
( P_1 = hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,X_1),Y_1)
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(C_1,X_1),Y_1)) ) ) ).
fof(fact_656_splitE,axiom,
! [C_1,P_1] :
( hBOOL(hAPP_P1333315679l_bool(hAPP_f1525114763l_bool(produc70644925l_bool,C_1),P_1))
=> ~ ! [X_1,Y_1] :
( P_1 = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,X_1),Y_1)
=> ~ hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(C_1,X_1),Y_1)) ) ) ).
fof(fact_657_splitE,axiom,
! [C_1,P_1] :
( hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,C_1),P_1))
=> ~ ! [X_1,Y_1] :
( P_1 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,X_1),Y_1)
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(C_1,X_1),Y_1)) ) ) ).
fof(fact_658_splitE,axiom,
! [C_1,P_1] :
( hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,C_1),P_1))
=> ~ ! [X_1,Y_1] :
( P_1 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X_1),Y_1)
=> ~ hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(C_1,X_1),Y_1)) ) ) ).
fof(fact_659_splitE,axiom,
! [C_1,P_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,C_1),P_1))
=> ~ ! [X_1,Y_1] :
( P_1 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X_1),Y_1)
=> ~ hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(C_1,X_1),Y_1)) ) ) ).
fof(fact_660_splitI2,axiom,
! [C_1,P_1] :
( ! [A_1,B_1] :
( P_1 = hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,A_1),B_1)
=> hBOOL(hAPP_val_bool(hAPP_P486515074l_bool(C_1,A_1),B_1)) )
=> hBOOL(hAPP_P1070896250l_bool(hAPP_f1663301111l_bool(produc1873777030l_bool,C_1),P_1)) ) ).
fof(fact_661_splitI2,axiom,
! [C_1,P_1] :
( ! [A_1,B_1] :
( P_1 = hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_1),B_1)
=> hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(C_1,A_1),B_1)) )
=> hBOOL(hAPP_P2014166431r_bool(hAPP_f1484794973r_bool(produc1732333873r_bool,C_1),P_1)) ) ).
fof(fact_662_splitI2,axiom,
! [C_1,P_1] :
( ! [A_1,B_1] :
( P_1 = hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_1),B_1)
=> hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(C_1,A_1),B_1)) )
=> hBOOL(hAPP_P828904212r_bool(hAPP_f895126887r_bool(produc1596557472r_bool,C_1),P_1)) ) ).
fof(fact_663_splitI2,axiom,
! [C_1,P_1] :
( ! [A_1,B_1] :
( P_1 = hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_1),B_1)
=> hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(C_1,A_1),B_1)) )
=> hBOOL(hAPP_P659547099r_bool(hAPP_f252398939r_bool(produc1324280167r_bool,C_1),P_1)) ) ).
fof(fact_664_splitI2,axiom,
! [C_1,P_1] :
( ! [A_1,B_1] :
( P_1 = hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),B_1)
=> hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(C_1,A_1),B_1)) )
=> hBOOL(hAPP_P1680401186r_bool(hAPP_f952817385r_bool(produc723279022r_bool,C_1),P_1)) ) ).
fof(fact_665_splitI2,axiom,
! [C_1,P_1] :
( ! [A_1,B_1] :
( P_1 = hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),B_1)
=> hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(C_1,A_1),B_1)) )
=> hBOOL(hAPP_P449474095r_bool(hAPP_f2132060507r_bool(produc1704639885r_bool,C_1),P_1)) ) ).
fof(fact_666_splitI2,axiom,
! [C_1,P_1] :
( ! [A_1,B_1] :
( P_1 = hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_1),B_1)
=> hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(C_1,A_1),B_1)) )
=> hBOOL(hAPP_P1235399154l_bool(hAPP_f1443410953l_bool(produc392960766l_bool,C_1),P_1)) ) ).
fof(fact_667_splitI2,axiom,
! [C_1,P_1] :
( ! [A_1,B_1] :
( P_1 = hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A_1),B_1)
=> hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(C_1,A_1),B_1)) )
=> hBOOL(hAPP_P929938951l_bool(hAPP_f1534412387l_bool(produc769963999l_bool,C_1),P_1)) ) ).
fof(fact_668_splitI2,axiom,
! [C_1,P_1] :
( ! [A_1,B_1] :
( is_bop(A_1)
=> ( P_1 = hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_1),B_1)
=> hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(C_1,A_1),B_1)) ) )
=> hBOOL(hAPP_P943837928l_bool(hAPP_f340876351l_bool(produc1326056646l_bool,C_1),P_1)) ) ).
fof(fact_669_splitI2,axiom,
! [C_1,P_1] :
( ! [A_1,B_1] :
( P_1 = hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_1),B_1)
=> hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(C_1,A_1),B_1)) )
=> hBOOL(hAPP_P2118621157r_bool(hAPP_f1697332217r_bool(produc21910851r_bool,C_1),P_1)) ) ).
fof(fact_670_splitI2,axiom,
! [C_1,P_1] :
( ! [A_1,B_1] :
( P_1 = hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_1),B_1)
=> hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(C_1,A_1),B_1)) )
=> hBOOL(hAPP_P1907982426r_bool(hAPP_f102021095r_bool(produc154616760r_bool,C_1),P_1)) ) ).
fof(fact_671_splitI2,axiom,
! [C_1,P_1] :
( ! [A_1,B_1] :
( P_1 = hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),B_1)
=> hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(C_1,A_1),B_1)) )
=> hBOOL(hAPP_P92196306r_bool(hAPP_f1613448899r_bool(produc2027921764r_bool,C_1),P_1)) ) ).
fof(fact_672_splitI2,axiom,
! [C_1,P_1] :
( ! [A_1,B_1] :
( P_1 = hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_1),B_1)
=> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(C_1,A_1),B_1)) )
=> hBOOL(hAPP_P71593144l_bool(hAPP_f1634841927l_bool(produc1491230096l_bool,C_1),P_1)) ) ).
fof(fact_673_splitI2,axiom,
! [C_1,P_1] :
( ! [A_1,B_1] :
( P_1 = hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),B_1)
=> hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(C_1,A_1),B_1)) )
=> hBOOL(hAPP_P1333315679l_bool(hAPP_f1525114763l_bool(produc70644925l_bool,C_1),P_1)) ) ).
fof(fact_674_splitI2,axiom,
! [C_1,P_1] :
( ! [A_1,B_1] :
( P_1 = hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_1),B_1)
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(C_1,A_1),B_1)) )
=> hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,C_1),P_1)) ) ).
fof(fact_675_splitI2,axiom,
! [C_1,P_1] :
( ! [A_1,B_1] :
( P_1 = hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),B_1)
=> hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(C_1,A_1),B_1)) )
=> hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,C_1),P_1)) ) ).
fof(fact_676_splitI2,axiom,
! [C_1,P_1] :
( ! [A_1,B_1] :
( P_1 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_1),B_1)
=> hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(C_1,A_1),B_1)) )
=> hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,C_1),P_1)) ) ).
fof(fact_677_ThrowReds,axiom,
! [Eb,S,E_b,S_2,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(E_b)),S_2)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_678_ThrowRedsThrow,axiom,
! [Eb,S,A,S_2,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_2)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_2)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_679_FAssReds1,axiom,
! [Fa,Da,E_2,Eb,S,E_b,S_2,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(Eb,Fa,Da,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(E_b,Fa,Da,E_2)),S_2)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_680_CondReds,axiom,
! [E_1,E_2,Eb,S,E_b,S_2,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(Eb,E_1,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(E_b,E_1,E_2)),S_2)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_681_FAccReds,axiom,
! [Fa,Da,Eb,S,E_b,S_2,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(Eb,Fa,Da)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(E_b,Fa,Da)),S_2)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_682_rtrancl_Ortrancl__refl,axiom,
! [A,R_1] : hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),A),transi1395422419t_char(R_1))) ).
fof(fact_683_rtrancl_Ortrancl__refl,axiom,
! [A,R_1] : hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),A),transi374442731on_val(R_1))) ).
fof(fact_684_rtrancl_Ortrancl__refl,axiom,
! [A,R_1] : hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),A),transi2024712006on_val(R_1))) ).
fof(fact_685_rtrancl_Ortrancl__refl,axiom,
! [A,R_1] : hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),A),transi935034983cl_val(R_1))) ).
fof(fact_686_cond__split__eta,axiom,
! [F,G] :
( ! [X_1,Y_1] : hAPP_t97533526ar_val(hAPP_P221287148ar_val(F,X_1),Y_1) = hAPP_P841862366ar_val(G,hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,X_1),Y_1))
=> hAPP_f1295640803ar_val(produc1553344466ar_val,F) = G ) ).
fof(fact_687_cond__split__eta,axiom,
! [F,G] :
( ! [X_1,Y_1] : hAPP_f652398900ion_ty(hAPP_l2000496933ion_ty(F,X_1),Y_1) = hAPP_P1228500987ion_ty(G,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,X_1),Y_1))
=> hAPP_f46308763ion_ty(produc907433735ion_ty,F) = G ) ).
fof(fact_688_cond__split__eta,axiom,
! [G,F] :
( ! [X_1,Y_1] :
( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(F,X_1),Y_1))
<=> hBOOL(hAPP_P159683425l_bool(G,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X_1),Y_1))) )
=> hAPP_f2121594859l_bool(produc1958875245l_bool,F) = G ) ).
fof(fact_689_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_690_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_691_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_692_WhileTRedsThrow,axiom,
! [C_1,Eb,S_2_1,B,S_0,S_1,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)),transi2024712006on_val(red(Pa))))
=> ( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,C_1),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),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_1)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S_2_1)),transi2024712006on_val(red(Pa)))) ) ) ).
fof(fact_693_splitE2,axiom,
! [Q_1,Pa,Z_1] :
( hBOOL(hAPP_P1070896250l_bool(Q_1,hAPP_P841862366ar_val(hAPP_f1295640803ar_val(produc1553344466ar_val,Pa),Z_1)))
=> ~ ! [X_1,Y_1] :
( Z_1 = hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,X_1),Y_1)
=> ~ hBOOL(hAPP_P1070896250l_bool(Q_1,hAPP_t97533526ar_val(hAPP_P221287148ar_val(Pa,X_1),Y_1))) ) ) ).
fof(fact_694_splitE2,axiom,
! [Q_1,Pa,Z_1] :
( hBOOL(hAPP_option_ty_bool(Q_1,hAPP_P1228500987ion_ty(hAPP_f46308763ion_ty(produc907433735ion_ty,Pa),Z_1)))
=> ~ ! [X_1,Y_1] :
( Z_1 = hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,X_1),Y_1)
=> ~ hBOOL(hAPP_option_ty_bool(Q_1,hAPP_f652398900ion_ty(hAPP_l2000496933ion_ty(Pa,X_1),Y_1))) ) ) ).
fof(fact_695_splitE2,axiom,
! [Q_1,Pa,Z_1] :
( hBOOL(hAPP_bool_bool(Q_1,hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,Pa),Z_1)))
=> ~ ! [X_1,Y_1] :
( Z_1 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,X_1),Y_1)
=> ~ hBOOL(hAPP_bool_bool(Q_1,hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,X_1),Y_1))) ) ) ).
fof(fact_696_rtrancl__idemp,axiom,
! [R_1] : transi1395422419t_char(transi1395422419t_char(R_1)) = transi1395422419t_char(R_1) ).
fof(fact_697_rtrancl__idemp,axiom,
! [R_1] : transi374442731on_val(transi374442731on_val(R_1)) = transi374442731on_val(R_1) ).
fof(fact_698_rtrancl__idemp,axiom,
! [R_1] : transi2024712006on_val(transi2024712006on_val(R_1)) = transi2024712006on_val(R_1) ).
fof(fact_699_red__reds_ORedCondF,axiom,
! [E_1,E_2,S,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)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),S)),red(Pa))) ).
fof(fact_700_red__reds_ORedCondT,axiom,
! [E_1,E_2,S,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)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_1),S)),red(Pa))) ).
fof(fact_701_rtrancl__trans,axiom,
! [C_1,A,B,R_1] :
( hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B),transi1395422419t_char(R_1)))
=> ( hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,B),C_1),transi1395422419t_char(R_1)))
=> hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),C_1),transi1395422419t_char(R_1))) ) ) ).
fof(fact_702_rtrancl__trans,axiom,
! [C_1,A,B,R_1] :
( hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B),transi374442731on_val(R_1)))
=> ( hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B),C_1),transi374442731on_val(R_1)))
=> hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),C_1),transi374442731on_val(R_1))) ) ) ).
fof(fact_703_rtrancl__trans,axiom,
! [C_1,A,B,R_1] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B),transi2024712006on_val(R_1)))
=> ( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B),C_1),transi2024712006on_val(R_1)))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),C_1),transi2024712006on_val(R_1))) ) ) ).
fof(fact_704_rtrancl__trans,axiom,
! [C_1,A,B,R_1] :
( hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),B),transi935034983cl_val(R_1)))
=> ( hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,B),C_1),transi935034983cl_val(R_1)))
=> hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),C_1),transi935034983cl_val(R_1))) ) ) ).
fof(fact_705_rtrancl_Ortrancl__into__rtrancl,axiom,
! [C_1,A,B,R_1] :
( hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B),transi1395422419t_char(R_1)))
=> ( hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,B),C_1),R_1))
=> hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),C_1),transi1395422419t_char(R_1))) ) ) ).
fof(fact_706_rtrancl_Ortrancl__into__rtrancl,axiom,
! [C_1,A,B,R_1] :
( hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B),transi374442731on_val(R_1)))
=> ( hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B),C_1),R_1))
=> hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),C_1),transi374442731on_val(R_1))) ) ) ).
fof(fact_707_rtrancl_Ortrancl__into__rtrancl,axiom,
! [C_1,A,B,R_1] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B),transi2024712006on_val(R_1)))
=> ( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B),C_1),R_1))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),C_1),transi2024712006on_val(R_1))) ) ) ).
fof(fact_708_rtrancl_Ortrancl__into__rtrancl,axiom,
! [C_1,A,B,R_1] :
( hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),B),transi935034983cl_val(R_1)))
=> ( hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,B),C_1),R_1))
=> hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),C_1),transi935034983cl_val(R_1))) ) ) ).
fof(fact_709_converse__rtrancl__into__rtrancl,axiom,
! [C_1,A,B,R_1] :
( hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B),R_1))
=> ( hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,B),C_1),transi1395422419t_char(R_1)))
=> hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),C_1),transi1395422419t_char(R_1))) ) ) ).
fof(fact_710_converse__rtrancl__into__rtrancl,axiom,
! [C_1,A,B,R_1] :
( hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B),R_1))
=> ( hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B),C_1),transi374442731on_val(R_1)))
=> hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),C_1),transi374442731on_val(R_1))) ) ) ).
fof(fact_711_converse__rtrancl__into__rtrancl,axiom,
! [C_1,A,B,R_1] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B),R_1))
=> ( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B),C_1),transi2024712006on_val(R_1)))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),C_1),transi2024712006on_val(R_1))) ) ) ).
fof(fact_712_converse__rtrancl__into__rtrancl,axiom,
! [C_1,A,B,R_1] :
( hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),B),R_1))
=> ( hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,B),C_1),transi935034983cl_val(R_1)))
=> hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),C_1),transi935034983cl_val(R_1))) ) ) ).
fof(fact_713_CondReds2F,axiom,
! [E_1,E_2,E_b,S_2_1,Eb,S_0,S_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,bool(fFalse))),S_1)),transi2024712006on_val(red(Pa))))
=> ( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2_1)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(Eb,E_1,E_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2_1)),transi2024712006on_val(red(Pa)))) ) ) ).
fof(fact_714_CondReds2T,axiom,
! [E_2,E_1,E_b,S_2_1,Eb,S_0,S_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1)),transi2024712006on_val(red(Pa))))
=> ( hBOOL(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,E_b),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(Eb,E_1,E_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2_1)),transi2024712006on_val(red(Pa)))) ) ) ).
fof(fact_715_WhileTReds,axiom,
! [Eb,S_3_1,C_1,V_1_2,S_2_1,B,S_0,S_1,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)),transi2024712006on_val(red(Pa))))
=> ( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,C_1),S_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V_1_2)),S_2_1)),transi2024712006on_val(red(Pa))))
=> ( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,while_list_char(B,C_1)),S_2_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),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_1)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S_3_1)),transi2024712006on_val(red(Pa)))) ) ) ) ).
fof(fact_716_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_1,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_1),B_1)),R_1))
=> ~ hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_1),B_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Za),Zb)),transi374442731on_val(R_1))) ) ) ) ).
fof(fact_717_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_1,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_1),B_1)),R_1))
=> ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_1),B_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Za),Zb)),transi2024712006on_val(R_1))) ) ) ) ).
fof(fact_718_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_1,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_1),B_1)),R_1))
=> ~ hBOOL(member619264020ar_val(hAPP_P976385092ar_val(hAPP_P800634639ar_val(produc1317546007ar_val,hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,A_1),B_1)),hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,Za),Zb)),transi1600669663ar_val(R_1))) ) ) ) ).
fof(fact_719_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_1,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_1),B_1)),R_1))
=> ~ hBOOL(member1999287380t_char(hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_1),B_1)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Za),Zb)),transi198989188t_char(R_1))) ) ) ) ).
fof(fact_720_converse__rtranclE2,axiom,
! [Xa_1,Xb_1,Za,Zb,R_1] :
( hBOOL(member1551446420t_char(hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Xa_1),Xb_1)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Za),Zb)),transi772168185t_char(R_1)))
=> ( hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Xa_1),Xb_1) != hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Za),Zb)
=> ~ ! [A_1,B_1] :
( hBOOL(member1551446420t_char(hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Xa_1),Xb_1)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_1),B_1)),R_1))
=> ~ hBOOL(member1551446420t_char(hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_1),B_1)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Za),Zb)),transi772168185t_char(R_1))) ) ) ) ).
fof(fact_721_converse__rtranclE2,axiom,
! [Xa_1,Xb_1,Za,Zb,R_1] :
( hBOOL(member1607118676t_char(hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Xa_1),Xb_1)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Za),Zb)),transi2005320128t_char(R_1)))
=> ( hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Xa_1),Xb_1) != hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Za),Zb)
=> ~ ! [A_1,B_1] :
( hBOOL(member1607118676t_char(hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Xa_1),Xb_1)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_1),B_1)),R_1))
=> ~ hBOOL(member1607118676t_char(hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_1),B_1)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Za),Zb)),transi2005320128t_char(R_1))) ) ) ) ).
fof(fact_722_converse__rtranclE2,axiom,
! [Xa_1,Xb_1,Za,Zb,R_1] :
( hBOOL(member162552852t_char(hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Xa_1),Xb_1)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Za),Zb)),transi1123801095t_char(R_1)))
=> ( hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Xa_1),Xb_1) != hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Za),Zb)
=> ~ ! [A_1,B_1] :
( hBOOL(member162552852t_char(hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Xa_1),Xb_1)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),B_1)),R_1))
=> ~ hBOOL(member162552852t_char(hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),B_1)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Za),Zb)),transi1123801095t_char(R_1))) ) ) ) ).
fof(fact_723_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_1,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_1),B_1)),R_1))
=> ~ hBOOL(member794220506t_char(hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),B_1)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Za),Zb)),transi1095029602t_char(R_1))) ) ) ) ).
fof(fact_724_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_1,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_1),B_1)),R_1))
=> ~ hBOOL(member1322055188on_val(hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_1),B_1)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Za),Zb)),transi61620055on_val(R_1))) ) ) ) ).
fof(fact_725_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_1,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_1),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_1),B_1)),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Za),Zb)),transi1423755450al_val(R_1))) ) ) ) ).
fof(fact_726_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_1,B_1] :
( is_bop(A_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,A_1),B_1)),R_1))
=> ~ hBOOL(member1732271180al_val(hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_1),B_1)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Za),Zb)),transi1906258203al_val(R_1))) ) ) ) ) ).
fof(fact_727_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_1,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_1),B_1)),R_1))
=> ~ hBOOL(member1161907014t_char(hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_1),B_1)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Za),Zb)),transi1789604888t_char(R_1))) ) ) ) ).
fof(fact_728_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_1,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_1),B_1)),R_1))
=> ~ hBOOL(member125098544t_char(hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_1),B_1)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Za),Zb)),transi1257872013t_char(R_1))) ) ) ) ).
fof(fact_729_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_1,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_1),B_1)),R_1))
=> ~ hBOOL(member1420286996t_char(hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),B_1)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Za),Zb)),transi122195895t_char(R_1))) ) ) ) ).
fof(fact_730_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_1,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_1),B_1)),R_1))
=> ~ hBOOL(member88670778on_val(hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),B_1)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Za),Zb)),transi208336786on_val(R_1))) ) ) ) ).
fof(fact_731_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_1,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_1),B_1)),R_1))
=> ~ hBOOL(member808015754on_val(hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),B_1)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Za),Zb)),transi910771962on_val(R_1))) ) ) ) ).
fof(fact_732_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_1,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_1),B_1)),R_1))
=> ~ hBOOL(member563141460on_val(hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_1),B_1)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Za),Zb)),transi921647814on_val(R_1))) ) ) ) ).
fof(fact_733_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_1,B_1,Aa,Ba] :
( hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A_1),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_1),B_1)) ) ) )
=> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,Ax),Ay)) ) ) ) ).
fof(fact_734_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_1,B_1,Aa,Ba] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A_1),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_1),B_1)) ) ) )
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,Ax),Ay)) ) ) ) ).
fof(fact_735_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_1,B_1,Aa,Ba] :
( hBOOL(member619264020ar_val(hAPP_P976385092ar_val(hAPP_P800634639ar_val(produc1317546007ar_val,hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,A_1),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_1),B_1)) ) ) )
=> hBOOL(hAPP_val_bool(hAPP_P486515074l_bool(Pa,Ax),Ay)) ) ) ) ).
fof(fact_736_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_1,B_1,Aa,Ba] :
( hBOOL(member1999287380t_char(hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A_1),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_1),B_1)) ) ) )
=> hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(Pa,Ax),Ay)) ) ) ) ).
fof(fact_737_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(member1551446420t_char(hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Ax),Ay)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Bx),By)),transi772168185t_char(R_1)))
=> ( hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(Pa,Bx),By))
=> ( ! [A_1,B_1,Aa,Ba] :
( hBOOL(member1551446420t_char(hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_1),B_1)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Aa),Ba)),R_1))
=> ( hBOOL(member1551446420t_char(hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Aa),Ba)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Bx),By)),transi772168185t_char(R_1)))
=> ( hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(Pa,Aa),Ba))
=> hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(Pa,A_1),B_1)) ) ) )
=> hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(Pa,Ax),Ay)) ) ) ) ).
fof(fact_738_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(member1607118676t_char(hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Ax),Ay)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Bx),By)),transi2005320128t_char(R_1)))
=> ( hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(Pa,Bx),By))
=> ( ! [A_1,B_1,Aa,Ba] :
( hBOOL(member1607118676t_char(hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_1),B_1)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Aa),Ba)),R_1))
=> ( hBOOL(member1607118676t_char(hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Aa),Ba)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Bx),By)),transi2005320128t_char(R_1)))
=> ( hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(Pa,Aa),Ba))
=> hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(Pa,A_1),B_1)) ) ) )
=> hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(Pa,Ax),Ay)) ) ) ) ).
fof(fact_739_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(member162552852t_char(hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Ax),Ay)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Bx),By)),transi1123801095t_char(R_1)))
=> ( hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(Pa,Bx),By))
=> ( ! [A_1,B_1,Aa,Ba] :
( hBOOL(member162552852t_char(hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),B_1)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Aa),Ba)),R_1))
=> ( hBOOL(member162552852t_char(hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Aa),Ba)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Bx),By)),transi1123801095t_char(R_1)))
=> ( hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(Pa,Aa),Ba))
=> hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(Pa,A_1),B_1)) ) ) )
=> hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(Pa,Ax),Ay)) ) ) ) ).
fof(fact_740_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_1,B_1,Aa,Ba] :
( hBOOL(member794220506t_char(hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A_1),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_1),B_1)) ) ) )
=> hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(Pa,Ax),Ay)) ) ) ) ).
fof(fact_741_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_1,B_1,Aa,Ba] :
( hBOOL(member1322055188on_val(hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A_1),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_1),B_1)) ) ) )
=> hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(Pa,Ax),Ay)) ) ) ) ).
fof(fact_742_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_1,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_1),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_1),B_1)) ) ) )
=> hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(Pa,Ax),Ay)) ) ) ) ).
fof(fact_743_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_1,B_1,Aa,Ba] :
( ( is_bop(A_1)
& is_bop(Aa) )
=> ( hBOOL(member1732271180al_val(hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A_1),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_1),B_1)) ) ) ) )
=> hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(Pa,Ax),Ay)) ) ) ) ).
fof(fact_744_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_1,B_1,Aa,Ba] :
( hBOOL(member1161907014t_char(hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A_1),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_1),B_1)) ) ) )
=> hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(Pa,Ax),Ay)) ) ) ) ).
fof(fact_745_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_1,B_1,Aa,Ba] :
( hBOOL(member125098544t_char(hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A_1),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_1),B_1)) ) ) )
=> hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(Pa,Ax),Ay)) ) ) ) ).
fof(fact_746_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_1,B_1,Aa,Ba] :
( hBOOL(member1420286996t_char(hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A_1),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_1),B_1)) ) ) )
=> hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(Pa,Ax),Ay)) ) ) ) ).
fof(fact_747_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_1,B_1,Aa,Ba] :
( hBOOL(member88670778on_val(hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A_1),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_1),B_1)) ) ) )
=> hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,Ax),Ay)) ) ) ) ).
fof(fact_748_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_1,B_1,Aa,Ba] :
( hBOOL(member808015754on_val(hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A_1),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_1),B_1)) ) ) )
=> hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,Ax),Ay)) ) ) ) ).
fof(fact_749_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_1,B_1,Aa,Ba] :
( hBOOL(member563141460on_val(hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A_1),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_1),B_1)) ) ) )
=> hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,Ax),Ay)) ) ) ) ).
fof(fact_750_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_1,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_1),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_1),B_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Aa),Ba)),R_1))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,A_1),B_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,Aa),Ba)) ) ) )
=> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,Bx),By)) ) ) ) ).
fof(fact_751_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_1,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_1),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_1),B_1)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Aa),Ba)),R_1))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,A_1),B_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,Aa),Ba)) ) ) )
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,Bx),By)) ) ) ) ).
fof(fact_752_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_1,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_1),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_1),B_1)),hAPP_v48258637ar_val(hAPP_P1321848547ar_val(produc2036181286ar_val,Aa),Ba)),R_1))
=> ( hBOOL(hAPP_val_bool(hAPP_P486515074l_bool(Pa,A_1),B_1))
=> hBOOL(hAPP_val_bool(hAPP_P486515074l_bool(Pa,Aa),Ba)) ) ) )
=> hBOOL(hAPP_val_bool(hAPP_P486515074l_bool(Pa,Bx),By)) ) ) ) ).
fof(fact_753_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_1,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_1),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_1),B_1)),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Aa),Ba)),R_1))
=> ( hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(Pa,A_1),B_1))
=> hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(Pa,Aa),Ba)) ) ) )
=> hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(Pa,Bx),By)) ) ) ) ).
fof(fact_754_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(member1551446420t_char(hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Ax),Ay)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Bx),By)),transi772168185t_char(R_1)))
=> ( hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(Pa,Ax),Ay))
=> ( ! [A_1,B_1,Aa,Ba] :
( hBOOL(member1551446420t_char(hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Ax),Ay)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_1),B_1)),transi772168185t_char(R_1)))
=> ( hBOOL(member1551446420t_char(hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A_1),B_1)),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Aa),Ba)),R_1))
=> ( hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(Pa,A_1),B_1))
=> hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(Pa,Aa),Ba)) ) ) )
=> hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(Pa,Bx),By)) ) ) ) ).
fof(fact_755_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(member1607118676t_char(hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Ax),Ay)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Bx),By)),transi2005320128t_char(R_1)))
=> ( hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(Pa,Ax),Ay))
=> ( ! [A_1,B_1,Aa,Ba] :
( hBOOL(member1607118676t_char(hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Ax),Ay)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_1),B_1)),transi2005320128t_char(R_1)))
=> ( hBOOL(member1607118676t_char(hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A_1),B_1)),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Aa),Ba)),R_1))
=> ( hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(Pa,A_1),B_1))
=> hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(Pa,Aa),Ba)) ) ) )
=> hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(Pa,Bx),By)) ) ) ) ).
fof(fact_756_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(member162552852t_char(hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Ax),Ay)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Bx),By)),transi1123801095t_char(R_1)))
=> ( hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(Pa,Ax),Ay))
=> ( ! [A_1,B_1,Aa,Ba] :
( hBOOL(member162552852t_char(hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Ax),Ay)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),B_1)),transi1123801095t_char(R_1)))
=> ( hBOOL(member162552852t_char(hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A_1),B_1)),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,Aa),Ba)),R_1))
=> ( hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(Pa,A_1),B_1))
=> hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(Pa,Aa),Ba)) ) ) )
=> hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(Pa,Bx),By)) ) ) ) ).
fof(fact_757_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_1,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_1),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_1),B_1)),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Aa),Ba)),R_1))
=> ( hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(Pa,A_1),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_758_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_1,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_1),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_1),B_1)),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Aa),Ba)),R_1))
=> ( hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(Pa,A_1),B_1))
=> hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(Pa,Aa),Ba)) ) ) )
=> hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(Pa,Bx),By)) ) ) ) ).
fof(fact_759_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_1,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_1),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_1),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_1),B_1))
=> hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(Pa,Aa),Ba)) ) ) )
=> hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(Pa,Bx),By)) ) ) ) ).
fof(fact_760_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_1,B_1,Aa,Ba] :
( ( is_bop(A_1)
& 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_1),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_1),B_1)),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Aa),Ba)),R_1))
=> ( hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(Pa,A_1),B_1))
=> hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(Pa,Aa),Ba)) ) ) ) )
=> hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(Pa,Bx),By)) ) ) ) ).
fof(fact_761_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_1,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_1),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_1),B_1)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Aa),Ba)),R_1))
=> ( hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(Pa,A_1),B_1))
=> hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(Pa,Aa),Ba)) ) ) )
=> hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(Pa,Bx),By)) ) ) ) ).
fof(fact_762_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_1,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_1),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_1),B_1)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Aa),Ba)),R_1))
=> ( hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(Pa,A_1),B_1))
=> hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(Pa,Aa),Ba)) ) ) )
=> hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(Pa,Bx),By)) ) ) ) ).
fof(fact_763_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_1,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_1),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_1),B_1)),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Aa),Ba)),R_1))
=> ( hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(Pa,A_1),B_1))
=> hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(Pa,Aa),Ba)) ) ) )
=> hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(Pa,Bx),By)) ) ) ) ).
fof(fact_764_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_1,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_1),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_1),B_1)),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Aa),Ba)),R_1))
=> ( hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,A_1),B_1))
=> hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,Aa),Ba)) ) ) )
=> hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,Bx),By)) ) ) ) ).
fof(fact_765_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_1,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_1),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_1),B_1)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Aa),Ba)),R_1))
=> ( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,A_1),B_1))
=> hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,Aa),Ba)) ) ) )
=> hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,Bx),By)) ) ) ) ).
fof(fact_766_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_1,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_1),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_1),B_1)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Aa),Ba)),R_1))
=> ( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,A_1),B_1))
=> hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,Aa),Ba)) ) ) )
=> hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,Bx),By)) ) ) ) ).
fof(fact_767_WhileFReds,axiom,
! [C_1,B,S,S_2,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,bool(fFalse))),S_2)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,while_list_char(B,C_1)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,unit)),S_2)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_768_rtranclE,axiom,
! [A,B,R_1] :
( hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B),transi1395422419t_char(R_1)))
=> ( A != B
=> ~ ! [Y_1] :
( hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),Y_1),transi1395422419t_char(R_1)))
=> ~ hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Y_1),B),R_1)) ) ) ) ).
fof(fact_769_rtranclE,axiom,
! [A,B,R_1] :
( hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B),transi374442731on_val(R_1)))
=> ( A != B
=> ~ ! [Y_1] :
( hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),Y_1),transi374442731on_val(R_1)))
=> ~ hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Y_1),B),R_1)) ) ) ) ).
fof(fact_770_rtranclE,axiom,
! [A,B,R_1] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B),transi2024712006on_val(R_1)))
=> ( A != B
=> ~ ! [Y_1] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),Y_1),transi2024712006on_val(R_1)))
=> ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Y_1),B),R_1)) ) ) ) ).
fof(fact_771_rtranclE,axiom,
! [A,B,R_1] :
( hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),B),transi935034983cl_val(R_1)))
=> ( A != B
=> ~ ! [Y_1] :
( hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),Y_1),transi935034983cl_val(R_1)))
=> ~ hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Y_1),B),R_1)) ) ) ) ).
fof(fact_772_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_1] :
( hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,X_2),Y_1),R_1))
=> ~ hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Y_1),Z_1),transi1395422419t_char(R_1))) ) ) ) ).
fof(fact_773_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_1] :
( hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,X_2),Y_1),R_1))
=> ~ hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Y_1),Z_1),transi374442731on_val(R_1))) ) ) ) ).
fof(fact_774_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_1] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,X_2),Y_1),R_1))
=> ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Y_1),Z_1),transi2024712006on_val(R_1))) ) ) ) ).
fof(fact_775_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_1] :
( hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,X_2),Y_1),R_1))
=> ~ hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Y_1),Z_1),transi935034983cl_val(R_1))) ) ) ) ).
fof(fact_776_converse__rtrancl__induct,axiom,
! [Pa,A,B,R_1] :
( hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B),transi1395422419t_char(R_1)))
=> ( hBOOL(hAPP_list_char_bool(Pa,B))
=> ( ! [Y_1,Z] :
( hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Y_1),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_1)) ) ) )
=> hBOOL(hAPP_list_char_bool(Pa,A)) ) ) ) ).
fof(fact_777_converse__rtrancl__induct,axiom,
! [Pa,A,B,R_1] :
( hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B),transi374442731on_val(R_1)))
=> ( hBOOL(hAPP_P71593144l_bool(Pa,B))
=> ( ! [Y_1,Z] :
( hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Y_1),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_1)) ) ) )
=> hBOOL(hAPP_P71593144l_bool(Pa,A)) ) ) ) ).
fof(fact_778_converse__rtrancl__induct,axiom,
! [Pa,A,B,R_1] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B),transi2024712006on_val(R_1)))
=> ( hBOOL(hAPP_P1708370145l_bool(Pa,B))
=> ( ! [Y_1,Z] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Y_1),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_1)) ) ) )
=> hBOOL(hAPP_P1708370145l_bool(Pa,A)) ) ) ) ).
fof(fact_779_converse__rtrancl__induct,axiom,
! [Pa,A,B,R_1] :
( hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),B),transi935034983cl_val(R_1)))
=> ( hBOOL(hAPP_val_bool(Pa,B))
=> ( ! [Y_1,Z] :
( hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Y_1),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_1)) ) ) )
=> hBOOL(hAPP_val_bool(Pa,A)) ) ) ) ).
fof(fact_780_rtrancl__induct,axiom,
! [Pa,A,B,R_1] :
( hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B),transi1395422419t_char(R_1)))
=> ( hBOOL(hAPP_list_char_bool(Pa,A))
=> ( ! [Y_1,Z] :
( hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),Y_1),transi1395422419t_char(R_1)))
=> ( hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Y_1),Z),R_1))
=> ( hBOOL(hAPP_list_char_bool(Pa,Y_1))
=> hBOOL(hAPP_list_char_bool(Pa,Z)) ) ) )
=> hBOOL(hAPP_list_char_bool(Pa,B)) ) ) ) ).
fof(fact_781_rtrancl__induct,axiom,
! [Pa,A,B,R_1] :
( hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B),transi374442731on_val(R_1)))
=> ( hBOOL(hAPP_P71593144l_bool(Pa,A))
=> ( ! [Y_1,Z] :
( hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),Y_1),transi374442731on_val(R_1)))
=> ( hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,Y_1),Z),R_1))
=> ( hBOOL(hAPP_P71593144l_bool(Pa,Y_1))
=> hBOOL(hAPP_P71593144l_bool(Pa,Z)) ) ) )
=> hBOOL(hAPP_P71593144l_bool(Pa,B)) ) ) ) ).
fof(fact_782_rtrancl__induct,axiom,
! [Pa,A,B,R_1] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B),transi2024712006on_val(R_1)))
=> ( hBOOL(hAPP_P1708370145l_bool(Pa,A))
=> ( ! [Y_1,Z] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),Y_1),transi2024712006on_val(R_1)))
=> ( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,Y_1),Z),R_1))
=> ( hBOOL(hAPP_P1708370145l_bool(Pa,Y_1))
=> hBOOL(hAPP_P1708370145l_bool(Pa,Z)) ) ) )
=> hBOOL(hAPP_P1708370145l_bool(Pa,B)) ) ) ) ).
fof(fact_783_rtrancl__induct,axiom,
! [Pa,A,B,R_1] :
( hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),B),transi935034983cl_val(R_1)))
=> ( hBOOL(hAPP_val_bool(Pa,A))
=> ( ! [Y_1,Z] :
( hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),Y_1),transi935034983cl_val(R_1)))
=> ( hBOOL(member649088532al_val(hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,Y_1),Z),R_1))
=> ( hBOOL(hAPP_val_bool(Pa,Y_1))
=> hBOOL(hAPP_val_bool(Pa,Z)) ) ) )
=> hBOOL(hAPP_val_bool(Pa,B)) ) ) ) ).
fof(fact_784_WTrtThrow,axiom,
! [Ta,Pa,Hb,Ea,Eb,T_r] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,Eb),T_r))
=> ( hBOOL(hAPP_ty_bool(is_refT,T_r))
=> hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,throw_list_char(Eb)),Ta)) ) ) ).
fof(fact_785_WTrt__elim__cases_I4_J,axiom,
! [Pa,Hb,Ea,Eb,Ta] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,throw_list_char(Eb)),Ta))
=> ~ ! [T_r_1] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,Eb),T_r_1))
=> ~ hBOOL(hAPP_ty_bool(is_refT,T_r_1)) ) ) ).
fof(fact_786_val_Osimps_I6_J,axiom,
! [Bool_1] : unit != bool(Bool_1) ).
fof(fact_787_val_Osimps_I7_J,axiom,
! [Bool_1] : bool(Bool_1) != unit ).
fof(fact_788_red__reds_ORedWhile,axiom,
! [B,C_1,S,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_1)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cond_list_char(B,seq_list_char(C_1,while_list_char(B,C_1)),hAPP_v834067052t_char(val_list_char,unit))),S)),red(Pa))) ).
fof(fact_789_BinOpRedsThrow2,axiom,
! [Bop,E_2,Eb,S_2_1,E_1,S_0,V_1_2,S_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,hAPP_v834067052t_char(val_list_char,V_1_2)),S_1)),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)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),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(Eb)),S_2_1)),transi2024712006on_val(red(Pa)))) ) ) ).
fof(fact_790_TryRedsVal,axiom,
! [C,V,E_2,Eb,S,V_1,S_2,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V_1)),S_2)),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(Eb,C,V,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V_1)),S_2)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_791_CastRedsThrow,axiom,
! [C,Eb,S,A,S_2,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_2)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_2)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_792_BinOpRedsThrow1,axiom,
! [Bop,E_2,Eb,S,E_b,S_2,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(E_b)),S_2)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(Eb,Bop,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(E_b)),S_2)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_793_WTrtSeq,axiom,
! [E_2,T_2,Pa,Hb,Ea,E_1,T_1] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,E_1),T_1))
=> ( hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,E_2),T_2))
=> hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,seq_list_char(E_1,E_2)),T_2)) ) ) ).
fof(fact_794_exp_Osimps_I61_J,axiom,
! [Exp1_79,Exp2_79,List_39,Exp_35] : seq_list_char(Exp1_79,Exp2_79) != cast_list_char(List_39,Exp_35) ).
fof(fact_795_exp_Osimps_I60_J,axiom,
! [List_38,Exp_34,Exp1_78,Exp2_78] : cast_list_char(List_38,Exp_34) != seq_list_char(Exp1_78,Exp2_78) ).
fof(fact_796_exp_Osimps_I107_J,axiom,
! [Exp1_77,Exp2_77,Exp1_76,Bop_19,Exp2_76] : seq_list_char(Exp1_77,Exp2_77) != binOp_list_char(Exp1_76,Bop_19,Exp2_76) ).
fof(fact_797_exp_Osimps_I46_J,axiom,
! [List_37,Exp_33,Exp1_75,Bop_18,Exp2_75] : cast_list_char(List_37,Exp_33) != binOp_list_char(Exp1_75,Bop_18,Exp2_75) ).
fof(fact_798_exp_Osimps_I212_J,axiom,
! [Exp1_74,Exp2_74,Exp1_73,List_36,A_21,Exp2_73] : seq_list_char(Exp1_74,Exp2_74) != tryCatch_list_char(Exp1_73,List_36,A_21,Exp2_73) ).
fof(fact_799_exp_Osimps_I68_J,axiom,
! [List_35,Exp_32,Exp1_72,List_34,A_20,Exp2_72] : cast_list_char(List_35,Exp_32) != tryCatch_list_char(Exp1_72,List_34,A_20,Exp2_72) ).
fof(fact_800_exp_Osimps_I106_J,axiom,
! [Exp1_71,Bop_17,Exp2_71,Exp1_70,Exp2_70] : binOp_list_char(Exp1_71,Bop_17,Exp2_71) != seq_list_char(Exp1_70,Exp2_70) ).
fof(fact_801_exp_Osimps_I47_J,axiom,
! [Exp1_69,Bop_16,Exp2_69,List_33,Exp_31] : binOp_list_char(Exp1_69,Bop_16,Exp2_69) != cast_list_char(List_33,Exp_31) ).
fof(fact_802_exp_Osimps_I114_J,axiom,
! [Exp1_68,Bop_15,Exp2_68,Exp1_67,List_32,A_19,Exp2_67] : binOp_list_char(Exp1_68,Bop_15,Exp2_68) != tryCatch_list_char(Exp1_67,List_32,A_19,Exp2_67) ).
fof(fact_803_exp_Osimps_I213_J,axiom,
! [Exp1_66,List_31,A_18,Exp2_66,Exp1_65,Exp2_65] : tryCatch_list_char(Exp1_66,List_31,A_18,Exp2_66) != seq_list_char(Exp1_65,Exp2_65) ).
fof(fact_804_exp_Osimps_I69_J,axiom,
! [Exp1_64,List_30,A_17,Exp2_64,List_29,Exp_30] : tryCatch_list_char(Exp1_64,List_30,A_17,Exp2_64) != cast_list_char(List_29,Exp_30) ).
fof(fact_805_exp_Osimps_I115_J,axiom,
! [Exp1_63,List_28,A_16,Exp2_63,Exp1_62,Bop_14,Exp2_62] : tryCatch_list_char(Exp1_63,List_28,A_16,Exp2_63) != binOp_list_char(Exp1_62,Bop_14,Exp2_62) ).
fof(fact_806_exp_Osimps_I11_J,axiom,
! [Exp1_61,Exp2_61,Exp1_60,Exp2_60] :
( seq_list_char(Exp1_61,Exp2_61) = seq_list_char(Exp1_60,Exp2_60)
<=> ( Exp1_61 = Exp1_60
& Exp2_61 = Exp2_60 ) ) ).
fof(fact_807_exp_Osimps_I2_J,axiom,
! [List_3,Exp_29,List_2,Exp_28] :
( cast_list_char(List_3,Exp_29) = cast_list_char(List_2,Exp_28)
<=> ( List_3 = List_2
& Exp_29 = Exp_28 ) ) ).
fof(fact_808_exp_Osimps_I4_J,axiom,
! [Exp1_61,Bop,Exp2_61,Exp1_60,Bop_13,Exp2_60] :
( ( is_bop(Bop)
& is_bop(Bop_13) )
=> ( binOp_list_char(Exp1_61,Bop,Exp2_61) = binOp_list_char(Exp1_60,Bop_13,Exp2_60)
<=> ( Exp1_61 = Exp1_60
& Bop = Bop_13
& Exp2_61 = Exp2_60 ) ) ) ).
fof(fact_809_exp_Osimps_I15_J,axiom,
! [Exp1_61,List_3,A,Exp2_61,Exp1_60,List_2,A_15,Exp2_60] :
( tryCatch_list_char(Exp1_61,List_3,A,Exp2_61) = tryCatch_list_char(Exp1_60,List_2,A_15,Exp2_60)
<=> ( Exp1_61 = Exp1_60
& List_3 = List_2
& A = A_15
& Exp2_61 = Exp2_60 ) ) ).
fof(fact_810_exp_Osimps_I84_J,axiom,
! [Val_7,Exp1_59,Exp2_59] : hAPP_v834067052t_char(val_list_char,Val_7) != seq_list_char(Exp1_59,Exp2_59) ).
fof(fact_811_exp_Osimps_I45_J,axiom,
! [Val_6,List_27,Exp_27] : hAPP_v834067052t_char(val_list_char,Val_6) != cast_list_char(List_27,Exp_27) ).
fof(fact_812_exp_Osimps_I70_J,axiom,
! [Val_5,Exp1_58,Bop_12,Exp2_58] : hAPP_v834067052t_char(val_list_char,Val_5) != binOp_list_char(Exp1_58,Bop_12,Exp2_58) ).
fof(fact_813_exp_Osimps_I92_J,axiom,
! [Val_4,Exp1_57,List_26,A_14,Exp2_57] : hAPP_v834067052t_char(val_list_char,Val_4) != tryCatch_list_char(Exp1_57,List_26,A_14,Exp2_57) ).
fof(fact_814_exp_Osimps_I85_J,axiom,
! [Exp1_56,Exp2_56,Val_3] : seq_list_char(Exp1_56,Exp2_56) != hAPP_v834067052t_char(val_list_char,Val_3) ).
fof(fact_815_exp_Osimps_I44_J,axiom,
! [List_25,Exp_26,Val_2] : cast_list_char(List_25,Exp_26) != hAPP_v834067052t_char(val_list_char,Val_2) ).
fof(fact_816_exp_Osimps_I71_J,axiom,
! [Exp1_55,Bop_11,Exp2_55,Val_1] : binOp_list_char(Exp1_55,Bop_11,Exp2_55) != hAPP_v834067052t_char(val_list_char,Val_1) ).
fof(fact_817_exp_Osimps_I93_J,axiom,
! [Exp1_54,List_24,A_13,Exp2_54,Val] : tryCatch_list_char(Exp1_54,List_24,A_13,Exp2_54) != hAPP_v834067052t_char(val_list_char,Val) ).
fof(fact_818_exp_Osimps_I211_J,axiom,
! [Exp_25,Exp1_53,Exp2_53] : throw_list_char(Exp_25) != seq_list_char(Exp1_53,Exp2_53) ).
fof(fact_819_exp_Osimps_I67_J,axiom,
! [Exp_24,List_23,Exp_23] : throw_list_char(Exp_24) != cast_list_char(List_23,Exp_23) ).
fof(fact_820_exp_Osimps_I113_J,axiom,
! [Exp_22,Exp1_52,Bop_10,Exp2_52] : throw_list_char(Exp_22) != binOp_list_char(Exp1_52,Bop_10,Exp2_52) ).
fof(fact_821_exp_Osimps_I224_J,axiom,
! [Exp_21,Exp1_51,List_22,A_12,Exp2_51] : throw_list_char(Exp_21) != tryCatch_list_char(Exp1_51,List_22,A_12,Exp2_51) ).
fof(fact_822_exp_Osimps_I210_J,axiom,
! [Exp1_50,Exp2_50,Exp_20] : seq_list_char(Exp1_50,Exp2_50) != throw_list_char(Exp_20) ).
fof(fact_823_exp_Osimps_I66_J,axiom,
! [List_21,Exp_19,Exp_18] : cast_list_char(List_21,Exp_19) != throw_list_char(Exp_18) ).
fof(fact_824_exp_Osimps_I112_J,axiom,
! [Exp1_49,Bop_9,Exp2_49,Exp_17] : binOp_list_char(Exp1_49,Bop_9,Exp2_49) != throw_list_char(Exp_17) ).
fof(fact_825_exp_Osimps_I225_J,axiom,
! [Exp1_48,List_20,A_11,Exp2_48,Exp_16] : tryCatch_list_char(Exp1_48,List_20,A_11,Exp2_48) != throw_list_char(Exp_16) ).
fof(fact_826_exp_Osimps_I183_J,axiom,
! [Exp1_47,List_19,A_10,Exp2_47,Exp1_46,List1_15,List2_15,Exp2_46] : tryCatch_list_char(Exp1_47,List_19,A_10,Exp2_47) != fAss_list_char(Exp1_46,List1_15,List2_15,Exp2_46) ).
fof(fact_827_exp_Osimps_I182_J,axiom,
! [Exp1_45,List1_14,List2_14,Exp2_45,Exp1_44,List_18,A_9,Exp2_44] : fAss_list_char(Exp1_45,List1_14,List2_14,Exp2_45) != tryCatch_list_char(Exp1_44,List_18,A_9,Exp2_44) ).
fof(fact_828_exp_Osimps_I101_J,axiom,
! [Exp1_43,List1_13,List2_13,Exp2_43,Exp1_42,Bop_8,Exp2_42] : fAss_list_char(Exp1_43,List1_13,List2_13,Exp2_43) != binOp_list_char(Exp1_42,Bop_8,Exp2_42) ).
fof(fact_829_exp_Osimps_I55_J,axiom,
! [Exp1_41,List1_12,List2_12,Exp2_41,List_17,Exp_15] : fAss_list_char(Exp1_41,List1_12,List2_12,Exp2_41) != cast_list_char(List_17,Exp_15) ).
fof(fact_830_exp_Osimps_I174_J,axiom,
! [Exp1_40,List1_11,List2_11,Exp2_40,Exp1_39,Exp2_39] : fAss_list_char(Exp1_40,List1_11,List2_11,Exp2_40) != seq_list_char(Exp1_39,Exp2_39) ).
fof(fact_831_exp_Osimps_I100_J,axiom,
! [Exp1_38,Bop_7,Exp2_38,Exp1_37,List1_10,List2_10,Exp2_37] : binOp_list_char(Exp1_38,Bop_7,Exp2_38) != fAss_list_char(Exp1_37,List1_10,List2_10,Exp2_37) ).
fof(fact_832_exp_Osimps_I54_J,axiom,
! [List_16,Exp_14,Exp1_36,List1_9,List2_9,Exp2_36] : cast_list_char(List_16,Exp_14) != fAss_list_char(Exp1_36,List1_9,List2_9,Exp2_36) ).
fof(fact_833_exp_Osimps_I175_J,axiom,
! [Exp1_35,Exp2_35,Exp1_34,List1_8,List2_8,Exp2_34] : seq_list_char(Exp1_35,Exp2_35) != fAss_list_char(Exp1_34,List1_8,List2_8,Exp2_34) ).
fof(fact_834_exp_Osimps_I206_J,axiom,
! [Exp1_33,Exp2_33,Exp1_32,Exp2_32,Exp3_7] : seq_list_char(Exp1_33,Exp2_33) != cond_list_char(Exp1_32,Exp2_32,Exp3_7) ).
fof(fact_835_exp_Osimps_I62_J,axiom,
! [List_15,Exp_13,Exp1_31,Exp2_31,Exp3_6] : cast_list_char(List_15,Exp_13) != cond_list_char(Exp1_31,Exp2_31,Exp3_6) ).
fof(fact_836_exp_Osimps_I207_J,axiom,
! [Exp1_30,Exp2_30,Exp3_5,Exp1_29,Exp2_29] : cond_list_char(Exp1_30,Exp2_30,Exp3_5) != seq_list_char(Exp1_29,Exp2_29) ).
fof(fact_837_exp_Osimps_I63_J,axiom,
! [Exp1_28,Exp2_28,Exp3_4,List_14,Exp_12] : cond_list_char(Exp1_28,Exp2_28,Exp3_4) != cast_list_char(List_14,Exp_12) ).
fof(fact_838_exp_Osimps_I109_J,axiom,
! [Exp1_27,Exp2_27,Exp3_3,Exp1_26,Bop_6,Exp2_26] : cond_list_char(Exp1_27,Exp2_27,Exp3_3) != binOp_list_char(Exp1_26,Bop_6,Exp2_26) ).
fof(fact_839_exp_Osimps_I108_J,axiom,
! [Exp1_25,Bop_5,Exp2_25,Exp1_24,Exp2_24,Exp3_2] : binOp_list_char(Exp1_25,Bop_5,Exp2_25) != cond_list_char(Exp1_24,Exp2_24,Exp3_2) ).
fof(fact_840_exp_Osimps_I218_J,axiom,
! [Exp1_23,Exp2_23,Exp3_1,Exp1_22,List_13,A_8,Exp2_22] : cond_list_char(Exp1_23,Exp2_23,Exp3_1) != tryCatch_list_char(Exp1_22,List_13,A_8,Exp2_22) ).
fof(fact_841_exp_Osimps_I219_J,axiom,
! [Exp1_21,List_12,A_7,Exp2_21,Exp1_20,Exp2_20,Exp3] : tryCatch_list_char(Exp1_21,List_12,A_7,Exp2_21) != cond_list_char(Exp1_20,Exp2_20,Exp3) ).
fof(fact_842_exp_Osimps_I169_J,axiom,
! [Exp1_19,List_11,A_6,Exp2_19,Exp_11,List1_7,List2_7] : tryCatch_list_char(Exp1_19,List_11,A_6,Exp2_19) != fAcc_list_char(Exp_11,List1_7,List2_7) ).
fof(fact_843_exp_Osimps_I168_J,axiom,
! [Exp_10,List1_6,List2_6,Exp1_18,List_10,A_5,Exp2_18] : fAcc_list_char(Exp_10,List1_6,List2_6) != tryCatch_list_char(Exp1_18,List_10,A_5,Exp2_18) ).
fof(fact_844_exp_Osimps_I98_J,axiom,
! [Exp1_17,Bop_4,Exp2_17,Exp_9,List1_5,List2_5] : binOp_list_char(Exp1_17,Bop_4,Exp2_17) != fAcc_list_char(Exp_9,List1_5,List2_5) ).
fof(fact_845_exp_Osimps_I99_J,axiom,
! [Exp_8,List1_4,List2_4,Exp1_16,Bop_3,Exp2_16] : fAcc_list_char(Exp_8,List1_4,List2_4) != binOp_list_char(Exp1_16,Bop_3,Exp2_16) ).
fof(fact_846_exp_Osimps_I53_J,axiom,
! [Exp_7,List1_3,List2_3,List_9,Exp_6] : fAcc_list_char(Exp_7,List1_3,List2_3) != cast_list_char(List_9,Exp_6) ).
fof(fact_847_exp_Osimps_I160_J,axiom,
! [Exp_5,List1_2,List2_2,Exp1_15,Exp2_15] : fAcc_list_char(Exp_5,List1_2,List2_2) != seq_list_char(Exp1_15,Exp2_15) ).
fof(fact_848_exp_Osimps_I52_J,axiom,
! [List_8,Exp_4,Exp_3,List1_1,List2_1] : cast_list_char(List_8,Exp_4) != fAcc_list_char(Exp_3,List1_1,List2_1) ).
fof(fact_849_exp_Osimps_I161_J,axiom,
! [Exp1_14,Exp2_14,Exp_2,List1,List2] : seq_list_char(Exp1_14,Exp2_14) != fAcc_list_char(Exp_2,List1,List2) ).
fof(fact_850_exp_Osimps_I208_J,axiom,
! [Exp1_13,Exp2_13,Exp1_12,Exp2_12] : seq_list_char(Exp1_13,Exp2_13) != while_list_char(Exp1_12,Exp2_12) ).
fof(fact_851_exp_Osimps_I64_J,axiom,
! [List_7,Exp_1,Exp1_11,Exp2_11] : cast_list_char(List_7,Exp_1) != while_list_char(Exp1_11,Exp2_11) ).
fof(fact_852_exp_Osimps_I209_J,axiom,
! [Exp1_10,Exp2_10,Exp1_9,Exp2_9] : while_list_char(Exp1_10,Exp2_10) != seq_list_char(Exp1_9,Exp2_9) ).
fof(fact_853_exp_Osimps_I65_J,axiom,
! [Exp1_8,Exp2_8,List_6,Exp] : while_list_char(Exp1_8,Exp2_8) != cast_list_char(List_6,Exp) ).
fof(fact_854_exp_Osimps_I111_J,axiom,
! [Exp1_7,Exp2_7,Exp1_6,Bop_2,Exp2_6] : while_list_char(Exp1_7,Exp2_7) != binOp_list_char(Exp1_6,Bop_2,Exp2_6) ).
fof(fact_855_exp_Osimps_I222_J,axiom,
! [Exp1_5,Exp2_5,Exp1_4,List_5,A_4,Exp2_4] : while_list_char(Exp1_5,Exp2_5) != tryCatch_list_char(Exp1_4,List_5,A_4,Exp2_4) ).
fof(fact_856_exp_Osimps_I110_J,axiom,
! [Exp1_3,Bop_1,Exp2_3,Exp1_2,Exp2_2] : binOp_list_char(Exp1_3,Bop_1,Exp2_3) != while_list_char(Exp1_2,Exp2_2) ).
fof(fact_857_exp_Osimps_I223_J,axiom,
! [Exp1_1,List_4,A_3,Exp2_1,Exp1,Exp2] : tryCatch_list_char(Exp1_1,List_4,A_3,Exp2_1) != while_list_char(Exp1,Exp2) ).
fof(fact_858_red__reds_OSeqRed,axiom,
! [E_2,Eb,S,E_b,S_2,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2)),red(Pa)))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(Eb,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(E_b,E_2)),S_2)),red(Pa))) ) ).
fof(fact_859_red__reds_OBinOpRed1,axiom,
! [Bop,E_2,Eb,S,E_b,S_2,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2)),red(Pa)))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(Eb,Bop,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(E_b,Bop,E_2)),S_2)),red(Pa))) ) ).
fof(fact_860_red__reds_OCastRed,axiom,
! [C,Eb,S,E_b,S_2,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2)),red(Pa)))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,E_b)),S_2)),red(Pa))) ) ).
fof(fact_861_red__reds_OTryRed,axiom,
! [C,V,E_2,Eb,S,E_b,S_2,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2)),red(Pa)))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(Eb,C,V,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(E_b,C,V,E_2)),S_2)),red(Pa))) ) ).
fof(fact_862_val_Osimps_I1_J,axiom,
! [Bool,Bool_1] :
( bool(Bool) = bool(Bool_1)
<=> ( hBOOL(Bool)
<=> hBOOL(Bool_1) ) ) ).
fof(fact_863_red__reds_ORedSeq,axiom,
! [V_1,E_2,S,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_1),E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2),S)),red(Pa))) ).
fof(fact_864_red__reds_OSeqThrow,axiom,
! [Eb,E_2,S,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(Eb),E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S)),red(Pa))) ).
fof(fact_865_SeqReds,axiom,
! [E_2,Eb,S,E_b,S_2,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(Eb,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(E_b,E_2)),S_2)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_866_red__reds_OBinOpRed2,axiom,
! [V_1_2,Bop,Eb,S,E_b,S_2,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2)),red(Pa)))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_2),Bop,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_2),Bop,E_b)),S_2)),red(Pa))) ) ).
fof(fact_867_red__reds_OBinOpThrow1,axiom,
! [Eb,Bop,E_2,S,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(Eb),Bop,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S)),red(Pa))) ).
fof(fact_868_BinOp1Reds,axiom,
! [Bop,E_2,Eb,S,E_b,S_2,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(Eb,Bop,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(E_b,Bop,E_2)),S_2)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_869_red__reds_OCastThrow,axiom,
! [C,Eb,S,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(Eb))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S)),red(Pa))) ).
fof(fact_870_CastReds,axiom,
! [C,Eb,S,E_b,S_2,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,E_b)),S_2)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_871_red__reds_ORedTry,axiom,
! [V_1,C,V,E_2,S,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_1),C,V,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V_1)),S)),red(Pa))) ).
fof(fact_872_TryReds,axiom,
! [C,V,E_2,Eb,S,E_b,S_2,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(Eb,C,V,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,tryCatch_list_char(E_b,C,V,E_2)),S_2)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_873_SeqReds2,axiom,
! [E_2,E_2_a,S_2_1,E_1,S_0,V_1_2,S_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,hAPP_v834067052t_char(val_list_char,V_1_2)),S_1)),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)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2_a),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_a),S_2_1)),transi2024712006on_val(red(Pa)))) ) ) ).
fof(fact_874_SeqRedsThrow,axiom,
! [E_2,Eb,S,E_b,S_2,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(E_b)),S_2)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,seq_list_char(Eb,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(E_b)),S_2)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_875_red__reds_OBinOpThrow2,axiom,
! [V_1_2,Bop,Eb,S,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(Eb))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S)),red(Pa))) ).
fof(fact_876_BinOp2Reds,axiom,
! [V_1,Bop,Eb,S,E_b,S_2,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2)),transi2024712006on_val(red(Pa))))
=> hBOOL(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),Bop,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1),Bop,E_b)),S_2)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_877_WTrtBinOpEq,axiom,
! [E_2,T_2,Pa,Hb,Ea,E_1,T_1] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,E_1),T_1))
=> ( hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,E_2),T_2))
=> hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,binOp_list_char(E_1,c_Expr_Obop_OEq,E_2)),boolean)) ) ) ).
fof(fact_878_CastRedsNull,axiom,
! [C,Eb,S,S_2,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),S_2)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,cast_list_char(C,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),S_2)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_879_red__reds_ORedCastNull,axiom,
! [C,S,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)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),S)),red(Pa))) ).
fof(fact_880_redp__redsp_ORedWhile,axiom,
! [Pa,B,C_1,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,while_list_char(B,C_1),S),cond_list_char(B,seq_list_char(C_1,while_list_char(B,C_1)),hAPP_v834067052t_char(val_list_char,unit))),S)) ).
fof(fact_881_default__val_Osimps_I2_J,axiom,
hAPP_ty_val(default_val,boolean) = bool(fFalse) ).
fof(fact_882_default__val_Osimps_I1_J,axiom,
hAPP_ty_val(default_val,void) = unit ).
fof(fact_883_unfold__while,axiom,
! [Pa,B,C_1,S,E_b,S_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(B,C_1),S),E_b),S_2))
<=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cond_list_char(B,seq_list_char(C_1,while_list_char(B,C_1)),hAPP_v834067052t_char(val_list_char,unit)),S),E_b),S_2)) ) ).
fof(fact_884_CallRedsThrowObj,axiom,
! [M,Esa,Eb,S0,A,S_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_1)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(Eb,M,Esa)),S0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_1)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_885_redp__redsp_OCallObj,axiom,
! [M,Esa,Pa,Eb,S,E_b,S_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_2))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,call_list_char(Eb,M,Esa),S),call_list_char(E_b,M,Esa)),S_2)) ) ).
fof(fact_886_redp__redsp_OCallThrowObj,axiom,
! [Pa,Eb,M,Esa,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,call_list_char(throw_list_char(Eb),M,Esa),S),throw_list_char(Eb)),S)) ).
fof(fact_887_default__val_Osimps_I4_J,axiom,
hAPP_ty_val(default_val,nt) = null ).
fof(fact_888_redp__redsp_OThrowRed,axiom,
! [Pa,Eb,S,E_b,S_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_2))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,throw_list_char(Eb),S),throw_list_char(E_b)),S_2)) ) ).
fof(fact_889_redp__redsp_OThrowThrow,axiom,
! [Pa,Eb,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,throw_list_char(throw_list_char(Eb)),S),throw_list_char(Eb)),S)) ).
fof(fact_890_redp__redsp_ORedCastNull,axiom,
! [Pa,C,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cast_list_char(C,hAPP_v834067052t_char(val_list_char,null)),S),hAPP_v834067052t_char(val_list_char,null)),S)) ).
fof(fact_891_redp__redsp_OSeqRed,axiom,
! [E_2,Pa,Eb,S,E_b,S_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_2))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,seq_list_char(Eb,E_2),S),seq_list_char(E_b,E_2)),S_2)) ) ).
fof(fact_892_redp__redsp_OFAssRed1,axiom,
! [Fa,Da,E_2,Pa,Eb,S,E_b,S_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_2))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(Eb,Fa,Da,E_2),S),fAss_list_char(E_b,Fa,Da,E_2)),S_2)) ) ).
fof(fact_893_redp__redsp_OBinOpRed1,axiom,
! [Bop,E_2,Pa,Eb,S,E_b,S_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_2))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,binOp_list_char(Eb,Bop,E_2),S),binOp_list_char(E_b,Bop,E_2)),S_2)) ) ).
fof(fact_894_redp__redsp_OCondRed,axiom,
! [E_1,E_2,Pa,Eb,S,E_b,S_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_2))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cond_list_char(Eb,E_1,E_2),S),cond_list_char(E_b,E_1,E_2)),S_2)) ) ).
fof(fact_895_redp__redsp_OCastRed,axiom,
! [C,Pa,Eb,S,E_b,S_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_2))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cast_list_char(C,Eb),S),cast_list_char(C,E_b)),S_2)) ) ).
fof(fact_896_redp__redsp_OFAccRed,axiom,
! [Fa,Da,Pa,Eb,S,E_b,S_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_2))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAcc_list_char(Eb,Fa,Da),S),fAcc_list_char(E_b,Fa,Da)),S_2)) ) ).
fof(fact_897_redp__redsp_OTryRed,axiom,
! [C,V,E_2,Pa,Eb,S,E_b,S_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_2))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,tryCatch_list_char(Eb,C,V,E_2),S),tryCatch_list_char(E_b,C,V,E_2)),S_2)) ) ).
fof(fact_898_val_Osimps_I12_J,axiom,
! [Bool_1] : null != bool(Bool_1) ).
fof(fact_899_val_Osimps_I13_J,axiom,
! [Bool_1] : bool(Bool_1) != null ).
fof(fact_900_val_Osimps_I5_J,axiom,
null != unit ).
fof(fact_901_val_Osimps_I4_J,axiom,
unit != null ).
fof(fact_902_redp__redsp_ORedSeq,axiom,
! [Pa,V_1,E_2,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,seq_list_char(hAPP_v834067052t_char(val_list_char,V_1),E_2),S),E_2),S)) ).
fof(fact_903_redp__redsp_OFAssRed2,axiom,
! [V_1,Fa,Da,Pa,Eb,S,E_b,S_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_2))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(hAPP_v834067052t_char(val_list_char,V_1),Fa,Da,Eb),S),fAss_list_char(hAPP_v834067052t_char(val_list_char,V_1),Fa,Da,E_b)),S_2)) ) ).
fof(fact_904_redp__redsp_OBinOpRed2,axiom,
! [V_1_2,Bop,Pa,Eb,S,E_b,S_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_2))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_2),Bop,Eb),S),binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_2),Bop,E_b)),S_2)) ) ).
fof(fact_905_redp__redsp_OSeqThrow,axiom,
! [Pa,Eb,E_2,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,seq_list_char(throw_list_char(Eb),E_2),S),throw_list_char(Eb)),S)) ).
fof(fact_906_redp__redsp_OFAssThrow1,axiom,
! [Pa,Eb,Fa,Da,E_2,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(throw_list_char(Eb),Fa,Da,E_2),S),throw_list_char(Eb)),S)) ).
fof(fact_907_redp__redsp_OBinOpThrow1,axiom,
! [Pa,Eb,Bop,E_2,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,binOp_list_char(throw_list_char(Eb),Bop,E_2),S),throw_list_char(Eb)),S)) ).
fof(fact_908_redp__redsp_OCondThrow,axiom,
! [Pa,Eb,E_1,E_2,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cond_list_char(throw_list_char(Eb),E_1,E_2),S),throw_list_char(Eb)),S)) ).
fof(fact_909_redp__redsp_OCastThrow,axiom,
! [Pa,C,Eb,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cast_list_char(C,throw_list_char(Eb)),S),throw_list_char(Eb)),S)) ).
fof(fact_910_redp__redsp_ORedTry,axiom,
! [Pa,V_1,C,V,E_2,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,tryCatch_list_char(hAPP_v834067052t_char(val_list_char,V_1),C,V,E_2),S),hAPP_v834067052t_char(val_list_char,V_1)),S)) ).
fof(fact_911_redp__redsp_OFAccThrow,axiom,
! [Pa,Eb,Fa,Da,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAcc_list_char(throw_list_char(Eb),Fa,Da),S),throw_list_char(Eb)),S)) ).
fof(fact_912_redp__redsp_OFAssThrow2,axiom,
! [Pa,V_1,Fa,Da,Eb,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(hAPP_v834067052t_char(val_list_char,V_1),Fa,Da,throw_list_char(Eb)),S),throw_list_char(Eb)),S)) ).
fof(fact_913_redp__redsp_OBinOpThrow2,axiom,
! [Pa,V_1_2,Bop,Eb,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_2),Bop,throw_list_char(Eb)),S),throw_list_char(Eb)),S)) ).
fof(fact_914_red__reds_OCallObj,axiom,
! [M,Esa,Eb,S,E_b,S_2,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2)),red(Pa)))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(Eb,M,Esa)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(E_b,M,Esa)),S_2)),red(Pa))) ) ).
fof(fact_915_redp__redsp_ORedCondF,axiom,
! [Pa,E_1,E_2,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cond_list_char(hAPP_v834067052t_char(val_list_char,bool(fFalse)),E_1,E_2),S),E_2),S)) ).
fof(fact_916_redp__redsp_ORedCondT,axiom,
! [Pa,E_1,E_2,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cond_list_char(hAPP_v834067052t_char(val_list_char,bool(fTrue)),E_1,E_2),S),E_1),S)) ).
fof(fact_917_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_918_red__reds_OCallThrowObj,axiom,
! [Eb,M,Esa,S,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(Eb),M,Esa)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S)),red(Pa))) ).
fof(fact_919_CallRedsObj,axiom,
! [M,Esa,Eb,S,E_b,S_2,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(Eb,M,Esa)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(E_b,M,Esa)),S_2)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_920_WhileF,axiom,
! [C_1,Pa,Eb,S_0,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,bool(fFalse))),S_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(Eb,C_1),S_0),hAPP_v834067052t_char(val_list_char,unit)),S_1)) ) ).
fof(fact_921_WhileBodyThrow,axiom,
! [C_1,E_b,S_2_1,Pa,Eb,S_0,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,C_1,S_1),throw_list_char(E_b)),S_2_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(Eb,C_1),S_0),throw_list_char(E_b)),S_2_1)) ) ) ).
fof(fact_922_WhileT,axiom,
! [E_3_1,S_3_1,C_1,V_1_2,S_2_1,Pa,Eb,S_0,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,C_1,S_1),hAPP_v834067052t_char(val_list_char,V_1_2)),S_2_1))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(Eb,C_1),S_2_1),E_3_1),S_3_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(Eb,C_1),S_0),E_3_1),S_3_1)) ) ) ) ).
fof(fact_923_CondT,axiom,
! [E_2,E_1,E_b,S_2_1,Pa,Eb,S_0,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_1),E_b),S_2_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cond_list_char(Eb,E_1,E_2),S_0),E_b),S_2_1)) ) ) ).
fof(fact_924_CondF,axiom,
! [E_1,E_2,E_b,S_2_1,Pa,Eb,S_0,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,bool(fFalse))),S_1))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1),E_b),S_2_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cond_list_char(Eb,E_1,E_2),S_0),E_b),S_2_1)) ) ) ).
fof(fact_925_CastNull,axiom,
! [C,Pa,Eb,S_0,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,null)),S_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cast_list_char(C,Eb),S_0),hAPP_v834067052t_char(val_list_char,null)),S_1)) ) ).
fof(fact_926_eval__evals_OBinOpThrow2,axiom,
! [Bop,E_2,Eb,S_2_1,Pa,E_1,S_0,V_1_2,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_0),hAPP_v834067052t_char(val_list_char,V_1_2)),S_1))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1),throw_list_char(Eb)),S_2_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,binOp_list_char(E_1,Bop,E_2),S_0),throw_list_char(Eb)),S_2_1)) ) ) ).
fof(fact_927_Val,axiom,
! [Pa,V_1,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,hAPP_v834067052t_char(val_list_char,V_1),S),hAPP_v834067052t_char(val_list_char,V_1)),S)) ).
fof(fact_928_eval__cases_I2_J,axiom,
! [Pa,V_1,S,E_b,S_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,hAPP_v834067052t_char(val_list_char,V_1),S),E_b),S_2))
=> ~ ( E_b = hAPP_v834067052t_char(val_list_char,V_1)
=> S_2 != S ) ) ).
fof(fact_929_eval__evals_OThrowThrow,axiom,
! [Pa,Eb,S_0,E_b,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),throw_list_char(E_b)),S_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,throw_list_char(Eb),S_0),throw_list_char(E_b)),S_1)) ) ).
fof(fact_930_Seq,axiom,
! [E_1,E_2,S_2_1,Pa,E_0,S_0,V_1,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_0,S_0),hAPP_v834067052t_char(val_list_char,V_1)),S_1))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_1),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_931_eval__evals_OSeqThrow,axiom,
! [E_1,Pa,E_0,S_0,Eb,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_0,S_0),throw_list_char(Eb)),S_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,seq_list_char(E_0,E_1),S_0),throw_list_char(Eb)),S_1)) ) ).
fof(fact_932_eval__evals_OFAssThrow1,axiom,
! [Fa,Da,E_2,Pa,E_1,S_0,E_b,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_0),throw_list_char(E_b)),S_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAss_list_char(E_1,Fa,Da,E_2),S_0),throw_list_char(E_b)),S_1)) ) ).
fof(fact_933_CallObjThrow,axiom,
! [M,Ps,Pa,Eb,S_0,E_b,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),throw_list_char(E_b)),S_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,call_list_char(Eb,M,Ps),S_0),throw_list_char(E_b)),S_1)) ) ).
fof(fact_934_eval__evals_OBinOpThrow1,axiom,
! [Bop,E_2,Pa,E_1,S_0,Eb,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_0),throw_list_char(Eb)),S_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,binOp_list_char(E_1,Bop,E_2),S_0),throw_list_char(Eb)),S_1)) ) ).
fof(fact_935_eval__evals_OCastThrow,axiom,
! [C,Pa,Eb,S_0,E_b,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),throw_list_char(E_b)),S_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cast_list_char(C,Eb),S_0),throw_list_char(E_b)),S_1)) ) ).
fof(fact_936_eval__evals_OCondThrow,axiom,
! [E_1,E_2,Pa,Eb,S_0,E_b,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),throw_list_char(E_b)),S_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cond_list_char(Eb,E_1,E_2),S_0),throw_list_char(E_b)),S_1)) ) ).
fof(fact_937_Try,axiom,
! [C,V,E_2,Pa,E_1,S_0,V_1_2,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_0),hAPP_v834067052t_char(val_list_char,V_1_2)),S_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,tryCatch_list_char(E_1,C,V,E_2),S_0),hAPP_v834067052t_char(val_list_char,V_1_2)),S_1)) ) ).
fof(fact_938_eval__evals_OFAccThrow,axiom,
! [Fa,Da,Pa,Eb,S_0,E_b,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),throw_list_char(E_b)),S_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAcc_list_char(Eb,Fa,Da),S_0),throw_list_char(E_b)),S_1)) ) ).
fof(fact_939_WhileCondThrow,axiom,
! [C_1,Pa,Eb,S_0,E_b,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),throw_list_char(E_b)),S_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(Eb,C_1),S_0),throw_list_char(E_b)),S_1)) ) ).
fof(fact_940_eval__hext,axiom,
! [Pa,Eb,Hb,Lb,E_b,H_b,L_b] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))
=> hBOOL(hext(Hb,H_b)) ) ).
fof(fact_941_eval__evals_OFAssThrow2,axiom,
! [Fa,Da,E_2,E_b,S_2_1,Pa,E_1,S_0,V_1,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_0),hAPP_v834067052t_char(val_list_char,V_1)),S_1))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1),throw_list_char(E_b)),S_2_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAss_list_char(E_1,Fa,Da,E_2),S_0),throw_list_char(E_b)),S_2_1)) ) ) ).
fof(fact_942_big__by__small,axiom,
! [Eb,S,E_b,S_2,Pa] :
( hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),E_b),S_2))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2)),transi2024712006on_val(red(Pa)))) ) ) ).
fof(fact_943_extend__eval,axiom,
! [E_b,S_2,Eb,S,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,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_5),S_3)),transi2024712006on_val(red(Pa))))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_5,S_3),E_b),S_2))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),E_b),S_2)) ) ) ) ).
fof(fact_944_CallRedsParams,axiom,
! [V_1,M,Esa,S,Es_a,S_2,Pa] :
( hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),S)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_a),S_2)),transi374442731on_val(reds(Pa))))
=> hBOOL(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_1),M,Esa)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(hAPP_v834067052t_char(val_list_char,V_1),M,Es_a)),S_2)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_945_eval__cases_I11_J,axiom,
! [Pa,B,C_1,S,E_b,S_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(B,C_1),S),E_b),S_2))
=> ( ( E_b = hAPP_v834067052t_char(val_list_char,unit)
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,B,S),hAPP_v834067052t_char(val_list_char,bool(fFalse))),S_2)) )
=> ( ! [S_1_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,B,S),hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1_1))
=> ! [V_1_3,S_2_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,C_1,S_1_1),hAPP_v834067052t_char(val_list_char,V_1_3)),S_2_2))
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(B,C_1),S_2_2),E_b),S_2)) ) )
=> ( ! [E] :
( E_b = throw_list_char(E)
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,B,S),throw_list_char(E)),S_2)) )
=> ~ ! [S_1_1,E] :
( E_b = throw_list_char(E)
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,B,S),hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1_1))
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,C_1,S_1_1),throw_list_char(E)),S_2)) ) ) ) ) ) ) ).
fof(fact_946_extend__1__eval,axiom,
! [E_b,S_2,Eb,S,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,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_5),S_3)),red(Pa)))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_5,S_3),E_b),S_2))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),E_b),S_2)) ) ) ) ).
fof(fact_947_eval__cases_I9_J,axiom,
! [Pa,E_1,E_2,S,E_b,S_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,seq_list_char(E_1,E_2),S),E_b),S_2))
=> ( ! [V_2,S_1_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S),hAPP_v834067052t_char(val_list_char,V_2)),S_1_1))
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_1),E_b),S_2)) )
=> ~ ! [E_3] :
( E_b = throw_list_char(E_3)
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S),throw_list_char(E_3)),S_2)) ) ) ) ).
fof(fact_948_reds__hext__incr,axiom,
! [Esa,Hb,Lb,Es_a,H_b,L_b,Pa] :
( hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))),reds(Pa)))
=> hBOOL(hext(Hb,H_b)) ) ).
fof(fact_949_red__reds_OCallParams,axiom,
! [V_1,M,Esa,S,Es_a,S_2,Pa] :
( hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),S)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_a),S_2)),reds(Pa)))
=> hBOOL(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_1),M,Esa)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(hAPP_v834067052t_char(val_list_char,V_1),M,Es_a)),S_2)),red(Pa))) ) ).
fof(fact_950_wf__prog__wwf__prog,axiom,
! [Pa] :
( hBOOL(wf_pro755087577t_char(wf_J_mdecl,Pa))
=> hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa)) ) ).
fof(fact_951_big__iff__small,axiom,
! [Eb,S,E_b,S_2,Pa] :
( hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),E_b),S_2))
<=> ( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2)),transi2024712006on_val(red(Pa))))
& hBOOL(final_list_char(E_b)) ) ) ) ).
fof(fact_952_small__by__big,axiom,
! [Eb,S,E_b,S_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,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2)),transi2024712006on_val(red(Pa))))
=> ( hBOOL(final_list_char(E_b))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),E_b),S_2)) ) ) ) ).
fof(fact_953_ListRedsVal,axiom,
! [Esa,Es_a,S_2_1,Eb,S_0,V_1,S_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V_1)),S_1)),transi2024712006on_val(red(Pa))))
=> ( hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),S_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_a),S_2_1)),transi374442731on_val(reds(Pa))))
=> hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(Eb,Esa)),S_0)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V_1),Es_a)),S_2_1)),transi374442731on_val(reds(Pa)))) ) ) ).
fof(fact_954_extend__evals,axiom,
! [Es_a,S_2,Esa,S,Es_1,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,Esa),S)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_1),S_3)),transi374442731on_val(reds(Pa))))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Es_1,S_3),Es_a),S_2))
=> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,S),Es_a),S_2)) ) ) ) ).
fof(fact_955_bigs__by__smalls,axiom,
! [Esa,S,Es_a,S_2,Pa] :
( hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,S),Es_a),S_2))
=> hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),S)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_a),S_2)),transi374442731on_val(reds(Pa)))) ) ) ).
fof(fact_956_eval__evals_OCons,axiom,
! [Esa,Es_a,S_2_1,Pa,Eb,S_0,V_1,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,V_1)),S_1))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,S_1),Es_a),S_2_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,cons_exp_list_char(Eb,Esa),S_0),cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V_1),Es_a)),S_2_1)) ) ) ).
fof(fact_957_ConsThrow,axiom,
! [Esa,Pa,Eb,S_0,E_b,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),throw_list_char(E_b)),S_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,cons_exp_list_char(Eb,Esa),S_0),cons_exp_list_char(throw_list_char(E_b),Esa)),S_1)) ) ).
fof(fact_958_eval__final,axiom,
! [Pa,Eb,S,E_b,S_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),E_b),S_2))
=> hBOOL(final_list_char(E_b)) ) ).
fof(fact_959_eval__finalId,axiom,
! [Pa,S,Eb] :
( hBOOL(final_list_char(Eb))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),Eb),S)) ) ).
fof(fact_960_evals__hext,axiom,
! [Pa,Esa,Hb,Lb,Es_a,H_b,L_b] :
( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),Es_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))
=> hBOOL(hext(Hb,H_b)) ) ).
fof(fact_961_red__reds_OListRed2,axiom,
! [V_1,Esa,S,Es_a,S_2,Pa] :
( hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),S)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_a),S_2)),reds(Pa)))
=> hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V_1),Esa)),S)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V_1),Es_a)),S_2)),reds(Pa))) ) ).
fof(fact_962_ListReds2,axiom,
! [V_1,Esa,S,Es_a,S_2,Pa] :
( hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),S)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_a),S_2)),transi374442731on_val(reds(Pa))))
=> hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V_1),Esa)),S)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V_1),Es_a)),S_2)),transi374442731on_val(reds(Pa)))) ) ).
fof(fact_963_red__reds_OListRed1,axiom,
! [Esa,Eb,S,E_b,S_2,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2)),red(Pa)))
=> hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(Eb,Esa)),S)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(E_b,Esa)),S_2)),reds(Pa))) ) ).
fof(fact_964_extend__1__evals,axiom,
! [Es_a,T_8,Esa,T_7,Es_1,T_6,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,Esa),T_7)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_1),T_6)),reds(Pa)))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Es_1,T_6),Es_a),T_8))
=> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,T_7),Es_a),T_8)) ) ) ) ).
fof(fact_965_ListReds1,axiom,
! [Esa,Eb,S,E_b,S_2,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2)),transi2024712006on_val(red(Pa))))
=> hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(Eb,Esa)),S)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,cons_exp_list_char(E_b,Esa)),S_2)),transi374442731on_val(reds(Pa)))) ) ).
fof(fact_966_wf__mdecl__wwf__mdecl,axiom,
! [P,C_3,Md] :
( hBOOL(hAPP_P1384137393r_bool(hAPP_l2054741776r_bool(hAPP_l2138409430r_bool(wf_J_mdecl,P),C_3),Md))
=> hBOOL(hAPP_P1384137393r_bool(hAPP_l2054741776r_bool(hAPP_l2138409430r_bool(wwf_J_mdecl,P),C_3),Md)) ) ).
fof(fact_967_evals__cases_I2_J,axiom,
! [Pa,Eb,Esa,S,E_b,S_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,cons_exp_list_char(Eb,Esa),S),E_b),S_2))
=> ( ! [V_2,S_1_1,Es] :
( E_b = cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V_2),Es)
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),hAPP_v834067052t_char(val_list_char,V_2)),S_1_1))
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,S_1_1),Es),S_2)) ) )
=> ~ ! [E] :
( E_b = cons_exp_list_char(throw_list_char(E),Esa)
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),throw_list_char(E)),S_2)) ) ) ) ).
fof(fact_968_reds__preserves__sconf,axiom,
! [Ea,Ts,Esa,S,Es_a,S_2,Pa] :
( hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),S)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_a),S_2)),reds(Pa)))
=> ( hBOOL(wTrts_1(Pa,hAPP_P703866694on_val(hp,S),Ea,Esa,Ts))
=> ( hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(Pa,Ea),S))
=> hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(Pa,Ea),S_2)) ) ) ) ).
fof(fact_969_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_970_reds__preserves__lconf,axiom,
! [Ea,Ts,Esa,Hb,Lb,Es_a,H_b,L_b,Pa] :
( hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))),reds(Pa)))
=> ( hBOOL(wTrts_1(Pa,Hb,Ea,Esa,Ts))
=> ( hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),Hb),Lb),Ea))
=> hBOOL(hAPP_f1001225811y_bool(hAPP_f2060496320y_bool(hAPP_f1213370163y_bool(lconf_496643946t_char(Pa),H_b),L_b),Ea)) ) ) ) ).
fof(fact_971_reds__preserves__hconf,axiom,
! [Ea,Ts,Esa,Hb,Lb,Es_a,H_b,L_b,Pa] :
( hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Es_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))),reds(Pa)))
=> ( hBOOL(wTrts_1(Pa,Hb,Ea,Esa,Ts))
=> ( hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(Pa),Hb))
=> hBOOL(hAPP_f61040418l_bool(hconf_97414254t_char(Pa),H_b)) ) ) ) ).
fof(fact_972_WTrts__hext__mono,axiom,
! [H_b,Pa,Hb,Ea,Esa,Ts] :
( hBOOL(wTrts_1(Pa,Hb,Ea,Esa,Ts))
=> ( hBOOL(hext(Hb,H_b))
=> hBOOL(wTrts_1(Pa,H_b,Ea,Esa,Ts)) ) ) ).
fof(fact_973_redp__redsp_OListRed2,axiom,
! [V_1,Pa,Esa,S,Es_a,S_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(redsp(Pa,Esa,S),Es_a),S_2))
=> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(redsp(Pa,cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V_1),Esa),S),cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V_1),Es_a)),S_2)) ) ).
fof(fact_974_redp__redsp_OListRed1,axiom,
! [Esa,Pa,Eb,S,E_b,S_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_2))
=> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(redsp(Pa,cons_exp_list_char(Eb,Esa),S),cons_exp_list_char(E_b,Esa)),S_2)) ) ).
fof(fact_975_WTrtCallNT,axiom,
! [M,Ta,Esa,Ts,Pa,Hb,Ea,Eb] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,Eb),nt))
=> ( hBOOL(wTrts_1(Pa,Hb,Ea,Esa,Ts))
=> hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,call_list_char(Eb,M,Esa)),Ta)) ) ) ).
fof(fact_976_redp__redsp_OCallParams,axiom,
! [V_1,M,Pa,Esa,S,Es_a,S_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(redsp(Pa,Esa,S),Es_a),S_2))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,call_list_char(hAPP_v834067052t_char(val_list_char,V_1),M,Esa),S),call_list_char(hAPP_v834067052t_char(val_list_char,V_1),M,Es_a)),S_2)) ) ).
fof(fact_977_eval__cases_I10_J,axiom,
! [Pa,Eb,E_1,E_2,S,E_b,S_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cond_list_char(Eb,E_1,E_2),S),E_b),S_2))
=> ( ! [S_1_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1_1))
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_1_1),E_b),S_2)) )
=> ( ! [S_1_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),hAPP_v834067052t_char(val_list_char,bool(fFalse))),S_1_1))
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_1),E_b),S_2)) )
=> ~ ! [E] :
( E_b = throw_list_char(E)
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),throw_list_char(E)),S_2)) ) ) ) ) ).
fof(fact_978_CallRedsThrowParams,axiom,
! [M,Esa,Vs_1_1,A,Es_2,S_2_1,Eb,S0,V_1,S_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V_1)),S_1)),transi2024712006on_val(red(Pa))))
=> ( hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),S_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,append_exp_list_char(hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vs_1_1),cons_exp_list_char(throw_list_char(A),Es_2))),S_2_1)),transi374442731on_val(reds(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,call_list_char(Eb,M,Esa)),S0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_2_1)),transi2024712006on_val(red(Pa)))) ) ) ).
fof(fact_979_redp__redsp_OCallThrowParams,axiom,
! [Pa,V_1,M,S,Esa,Vs_1,Eb,Es_a] :
( Esa = append_exp_list_char(hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vs_1),cons_exp_list_char(throw_list_char(Eb),Es_a))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,call_list_char(hAPP_v834067052t_char(val_list_char,V_1),M,Esa),S),throw_list_char(Eb)),S)) ) ).
fof(fact_980_list__eval__Throw,axiom,
! [Vs_1,Es_a,Pa,X_2,S,E_b,S_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,throw_list_char(X_2),S),E_b),S_2))
=> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,append_exp_list_char(hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vs_1),cons_exp_list_char(throw_list_char(X_2),Es_a)),S),append_exp_list_char(hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vs_1),cons_exp_list_char(E_b,Es_a))),S_2)) ) ).
fof(fact_981_CallParamsThrow,axiom,
! [M,Esa,Vs_1,Ex,Es_a,S_2_1,Pa,Eb,S_0,V_1,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,V_1)),S_1))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,S_1),append_exp_list_char(hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vs_1),cons_exp_list_char(throw_list_char(Ex),Es_a))),S_2_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,call_list_char(Eb,M,Esa),S_0),throw_list_char(Ex)),S_2_1)) ) ) ).
fof(fact_982_red__reds_OCallThrowParams,axiom,
! [V_1,M,S,Pa,Esa,Vs_1,Eb,Es_a] :
( Esa = append_exp_list_char(hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vs_1),cons_exp_list_char(throw_list_char(Eb),Es_a))
=> 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_1),M,Esa)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S)),red(Pa))) ) ).
fof(fact_983_eval__finalsId,axiom,
! [Pa,S,Esa] :
( hBOOL(finals_list_char(Esa))
=> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,S),Esa),S)) ) ).
fof(fact_984_evals__final,axiom,
! [Pa,Esa,S,Es_a,S_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,S),Es_a),S_2))
=> hBOOL(finals_list_char(Es_a)) ) ).
fof(fact_985_CallRedsNull,axiom,
! [M,Esa,Vs_1,S_2_1,Eb,S_0,S_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),S_1)),transi2024712006on_val(red(Pa))))
=> ( hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),S_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vs_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(Eb,M,Esa)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_2_1)),transi2024712006on_val(red(Pa)))) ) ) ).
fof(fact_986_WTrtCons,axiom,
! [Esa,Ts,Pa,Hb,Ea,Eb,Ta] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,Eb),Ta))
=> ( hBOOL(wTrts_1(Pa,Hb,Ea,Esa,Ts))
=> hBOOL(wTrts_1(Pa,Hb,Ea,cons_exp_list_char(Eb,Esa),cons_ty(Ta,Ts))) ) ) ).
fof(fact_987_val_Osimps_I3_J,axiom,
! [Nat_2,Nat_1] :
( addr(Nat_2) = addr(Nat_1)
<=> Nat_2 = Nat_1 ) ).
fof(fact_988_val_Osimps_I17_J,axiom,
! [Nat] : addr(Nat) != null ).
fof(fact_989_val_Osimps_I16_J,axiom,
! [Nat] : null != addr(Nat) ).
fof(fact_990_val_Osimps_I21_J,axiom,
! [Nat_1,Bool] : addr(Nat_1) != bool(Bool) ).
fof(fact_991_val_Osimps_I20_J,axiom,
! [Bool,Nat_1] : bool(Bool) != addr(Nat_1) ).
fof(fact_992_val_Osimps_I10_J,axiom,
! [Nat] : unit != addr(Nat) ).
fof(fact_993_val_Osimps_I11_J,axiom,
! [Nat] : addr(Nat) != unit ).
fof(fact_994_ThrowNull,axiom,
! [Pa,Eb,S_0,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,null)),S_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,throw_list_char(Eb),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_1)) ) ).
fof(fact_995_redp__redsp_ORedThrowNull,axiom,
! [Pa,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,throw_list_char(hAPP_v834067052t_char(val_list_char,null)),S),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S)) ).
fof(fact_996_FAssNull,axiom,
! [Fa,Da,E_2,V_1,S_2_1,Pa,E_1,S_0,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_0),hAPP_v834067052t_char(val_list_char,null)),S_1))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1),hAPP_v834067052t_char(val_list_char,V_1)),S_2_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAss_list_char(E_1,Fa,Da,E_2),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_2_1)) ) ) ).
fof(fact_997_FAccNull,axiom,
! [Fa,Da,Pa,Eb,S_0,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,null)),S_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAcc_list_char(Eb,Fa,Da),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_1)) ) ).
fof(fact_998_redp__redsp_ORedFAssNull,axiom,
! [Pa,Fa,Da,V_1,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(hAPP_v834067052t_char(val_list_char,null),Fa,Da,hAPP_v834067052t_char(val_list_char,V_1)),S),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S)) ).
fof(fact_999_redp__redsp_ORedFAccNull,axiom,
! [Pa,Fa,Da,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAcc_list_char(hAPP_v834067052t_char(val_list_char,null),Fa,Da),S),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S)) ).
fof(fact_1000_red__reds_ORedThrowNull,axiom,
! [S,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)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S)),red(Pa))) ).
fof(fact_1001_redp__redsp_ORedCallNull,axiom,
! [Pa,M,Vs_1,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,call_list_char(hAPP_v834067052t_char(val_list_char,null),M,hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vs_1)),S),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S)) ).
fof(fact_1002_ThrowRedsNull,axiom,
! [Eb,S,S_2,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),S_2)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_2)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_1003_red__reds_ORedFAssNull,axiom,
! [Fa,Da,V_1,S,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),Fa,Da,hAPP_v834067052t_char(val_list_char,V_1))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S)),red(Pa))) ).
fof(fact_1004_red__reds_ORedFAccNull,axiom,
! [Fa,Da,S,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),Fa,Da)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S)),red(Pa))) ).
fof(fact_1005_CallNull,axiom,
! [M,Ps,Vs_1,S_2_1,Pa,Eb,S_0,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,null)),S_1))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Ps,S_1),hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vs_1)),S_2_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,call_list_char(Eb,M,Ps),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_2_1)) ) ) ).
fof(fact_1006_Throw,axiom,
! [Pa,Eb,S_0,A,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,addr(A))),S_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,throw_list_char(Eb),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),S_1)) ) ).
fof(fact_1007_FAssRedsNull,axiom,
! [Fa,Da,E_2,V_1,S_2_1,E_1,S_0,S_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,hAPP_v834067052t_char(val_list_char,null)),S_1)),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)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V_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,fAss_list_char(E_1,Fa,Da,E_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_2_1)),transi2024712006on_val(red(Pa)))) ) ) ).
fof(fact_1008_FAccRedsNull,axiom,
! [Fa,Da,Eb,S,S_2,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,null)),S_2)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(Eb,Fa,Da)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_2)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_1009_red__reds_ORedCallNull,axiom,
! [M,Vs_1,S,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),Vs_1))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S)),red(Pa))) ).
fof(fact_1010_eval__cases_I12_J,axiom,
! [Pa,Eb,S,E_b,S_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,throw_list_char(Eb),S),E_b),S_2))
=> ( ! [A_1] :
( E_b = throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1)))
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),hAPP_v834067052t_char(val_list_char,addr(A_1))),S_2)) )
=> ( ( E_b = throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),hAPP_v834067052t_char(val_list_char,null)),S_2)) )
=> ~ ! [E] :
( E_b = throw_list_char(E)
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),throw_list_char(E)),S_2)) ) ) ) ) ).
fof(fact_1011_red__reds_OBlockThrow,axiom,
! [V,Ta,A,S,Pa] : hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(V,Ta,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A))))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),S)),red(Pa))) ).
fof(fact_1012_the__Addr_Osimps,axiom,
! [A_2] : the_Addr(addr(A_2)) = A_2 ).
fof(fact_1013_LAssRedsThrow,axiom,
! [V,Eb,S,A,S_2,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_2)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(V,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(A)),S_2)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_1014_not__refTE,axiom,
! [T_4] :
( ~ hBOOL(hAPP_ty_bool(is_refT,T_4))
=> ( T_4 = void
| T_4 = boolean
| T_4 = integer ) ) ).
fof(fact_1015_redp__redsp_OLAssRed,axiom,
! [V,Pa,Eb,S,E_b,S_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,S),E_b),S_2))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,lAss_list_char(V,Eb),S),lAss_list_char(V,E_b)),S_2)) ) ).
fof(fact_1016_redp__redsp_ORedInitBlock,axiom,
! [Pa,V,Ta,V_1,U,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(V,Ta,seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_1)),hAPP_v834067052t_char(val_list_char,U))),S),hAPP_v834067052t_char(val_list_char,U)),S)) ).
fof(fact_1017_ty_Osimps_I5_J,axiom,
integer != void ).
fof(fact_1018_ty_Osimps_I4_J,axiom,
void != integer ).
fof(fact_1019_ty_Osimps_I16_J,axiom,
integer != nt ).
fof(fact_1020_ty_Osimps_I17_J,axiom,
nt != integer ).
fof(fact_1021_ty_Osimps_I10_J,axiom,
boolean != integer ).
fof(fact_1022_ty_Osimps_I11_J,axiom,
integer != boolean ).
fof(fact_1023_eval__evals_OLAssThrow,axiom,
! [V,Pa,Eb,S_0,E_b,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),throw_list_char(E_b)),S_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,lAss_list_char(V,Eb),S_0),throw_list_char(E_b)),S_1)) ) ).
fof(fact_1024_redp__redsp_OLAssThrow,axiom,
! [Pa,V,Eb,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,lAss_list_char(V,throw_list_char(Eb)),S),throw_list_char(Eb)),S)) ).
fof(fact_1025_redp__redsp_ORedBlock,axiom,
! [Pa,V,Ta,U,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(V,Ta,hAPP_v834067052t_char(val_list_char,U)),S),hAPP_v834067052t_char(val_list_char,U)),S)) ).
fof(fact_1026_red__reds_ORedInitBlock,axiom,
! [V,Ta,V_1,U,S,Pa] : hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(V,Ta,seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_1)),hAPP_v834067052t_char(val_list_char,U)))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,U)),S)),red(Pa))) ).
fof(fact_1027_redp__redsp_OInitBlockThrow,axiom,
! [Pa,V,Ta,V_1,A,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(V,Ta,seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_1)),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A))))),S),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),S)) ).
fof(fact_1028_red__reds_OLAssRed,axiom,
! [V,Eb,S,E_b,S_2,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2)),red(Pa)))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(V,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(V,E_b)),S_2)),red(Pa))) ) ).
fof(fact_1029_red__reds_OInitBlockThrow,axiom,
! [V,Ta,V_1,A,S,Pa] : hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(V,Ta,seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_1)),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),S)),red(Pa))) ).
fof(fact_1030_red__reds_OLAssThrow,axiom,
! [V,Eb,S,Pa] : hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(V,throw_list_char(Eb))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(Eb)),S)),red(Pa))) ).
fof(fact_1031_LAssReds,axiom,
! [V,Eb,S,E_b,S_2,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),S_2)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(V,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(V,E_b)),S_2)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_1032_red__reds_ORedBlock,axiom,
! [V,Ta,U,S,Pa] : hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(V,Ta,hAPP_v834067052t_char(val_list_char,U))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,U)),S)),red(Pa))) ).
fof(fact_1033_redp__redsp_OBlockThrow,axiom,
! [Pa,V,Ta,A,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(V,Ta,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),S),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),S)) ).
fof(fact_1034_blocks_Osimps_I1_J,axiom,
! [V_5,Vs_3,T_4,Ts_3,V_3,Vs_2,E_4] : blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,cons_list_char(V_5,Vs_3)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,cons_ty(T_4,Ts_3)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,cons_val(V_3,Vs_2)),E_4)))) = block_list_char(V_5,T_4,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_3),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Ts_3),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Vs_2),E_4)))))) ).
fof(fact_1035_WTrt__elim__cases_I9_J,axiom,
! [Pa,Hb,Ea,E_1,Bop,E_2,Ta] :
( is_bop(Bop)
=> ( hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,binOp_list_char(E_1,Bop,E_2)),Ta))
=> ( ( Ta = boolean
=> ( ? [T_1_1] : hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,E_1),T_1_1))
=> ( ? [X1] : hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,E_2),X1))
=> Bop != c_Expr_Obop_OEq ) ) )
=> ~ ( Ta = integer
=> ( hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,E_1),integer))
=> ( hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,E_2),integer))
=> Bop != add ) ) ) ) ) ) ).
fof(fact_1036_WTrtBinOpAdd,axiom,
! [E_2,Pa,Hb,Ea,E_1] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,E_1),integer))
=> ( hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,E_2),integer))
=> hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,binOp_list_char(E_1,add,E_2)),integer)) ) ) ).
fof(fact_1037_WTrtLAss,axiom,
! [Pa,Hb,Eb,T,Ea,V,Ta] :
( hAPP_l512744617ion_ty(Ea,V) = hAPP_ty_option_ty(some_ty,Ta)
=> ( hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,Eb),T))
=> ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T),Ta))
=> hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,lAss_list_char(V,Eb)),void)) ) ) ) ).
fof(fact_1038_InitBlockRedsFinal,axiom,
! [Ta,Eb,Hb,Lb,V,V_1,E_b,H_b,L_b,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),fun_up1149430426on_val(Lb,V,hAPP_val_option_val(some_val,V_1))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))),transi2024712006on_val(red(Pa))))
=> ( hBOOL(final_list_char(E_b))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(V,Ta,seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_1)),Eb))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),fun_up1149430426on_val(L_b,V,hAPP_l207779698on_val(Lb,V))))),transi2024712006on_val(red(Pa)))) ) ) ).
fof(fact_1039_bop_Osimps_I1_J,axiom,
c_Expr_Obop_OEq != add ).
fof(fact_1040_bop_Osimps_I2_J,axiom,
add != c_Expr_Obop_OEq ).
fof(fact_1041_bop_Oexhaust,axiom,
! [Y] :
( is_bop(Y)
=> ( Y != c_Expr_Obop_OEq
=> Y = add ) ) ).
fof(fact_1042_LAss,axiom,
! [L_b,V,Pa,Eb,S_0,V_1,Hb,Lb] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,V_1)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)))
=> ( L_b = fun_up1149430426on_val(Lb,V,hAPP_val_option_val(some_val,V_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,lAss_list_char(V,Eb),S_0),hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),L_b))) ) ) ).
fof(fact_1043_redp__redsp_ORedLAss,axiom,
! [Pa,V,V_1,Hb,Lb] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_1)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),fun_up1149430426on_val(Lb,V,hAPP_val_option_val(some_val,V_1))))) ).
fof(fact_1044_redp__redsp_OInitBlockRed,axiom,
! [Ta,V_4,Pa,Eb,Hb,Lb,V,V_1,E_b,H_b,L_b] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),fun_up1149430426on_val(Lb,V,hAPP_val_option_val(some_val,V_1)))),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))
=> ( hAPP_l207779698on_val(L_b,V) = hAPP_val_option_val(some_val,V_4)
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(V,Ta,seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_1)),Eb)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),block_list_char(V,Ta,seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_4)),E_b))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),fun_up1149430426on_val(L_b,V,hAPP_l207779698on_val(Lb,V))))) ) ) ).
fof(fact_1045_red__reds_ORedLAss,axiom,
! [V,V_1,Hb,Lb,Pa] : hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_1))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),fun_up1149430426on_val(Lb,V,hAPP_val_option_val(some_val,V_1))))),red(Pa))) ).
fof(fact_1046_LAssRedsVal,axiom,
! [V,Eb,S,V_1,H_b,L_b,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V_1)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))),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,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),fun_up1149430426on_val(L_b,V,hAPP_val_option_val(some_val,V_1))))),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_1047_red__reds_OInitBlockRed,axiom,
! [Ta,V_4,Eb,Hb,Lb,V,V_1,E_b,H_b,L_b,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),fun_up1149430426on_val(Lb,V,hAPP_val_option_val(some_val,V_1))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))),red(Pa)))
=> ( hAPP_l207779698on_val(L_b,V) = hAPP_val_option_val(some_val,V_4)
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(V,Ta,seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_1)),Eb))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(V,Ta,seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_4)),E_b))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),fun_up1149430426on_val(L_b,V,hAPP_l207779698on_val(Lb,V))))),red(Pa))) ) ) ).
fof(fact_1048_WTrt__elim__cases_I1_J,axiom,
! [Pa,Hb,Ea,V_1,Eb,Ta] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,lAss_list_char(V_1,Eb)),Ta))
=> ~ ( Ta = void
=> ! [T_3] :
( hAPP_l512744617ion_ty(Ea,V_1) = hAPP_ty_option_ty(some_ty,T_3)
=> ! [T_5] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,Eb),T_5))
=> ~ hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_5),T_3)) ) ) ) ) ).
fof(fact_1049_InitBlockReds,axiom,
! [Ta,Eb,Hb,Lb,V,V_1,E_b,H_b,L_b,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),fun_up1149430426on_val(Lb,V,hAPP_val_option_val(some_val,V_1))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(V,Ta,seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_1)),Eb))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(V,Ta,seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,hAPP_option_val_val(the_val,hAPP_l207779698on_val(L_b,V)))),E_b))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),fun_up1149430426on_val(L_b,V,hAPP_l207779698on_val(Lb,V))))),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_1050_eval__cases_I4_J,axiom,
! [Pa,V,Eb,S,E_b,S_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,lAss_list_char(V,Eb),S),E_b),S_2))
=> ( ( E_b = hAPP_v834067052t_char(val_list_char,unit)
=> ! [V_2,H,L_4] :
( S_2 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),fun_up1149430426on_val(L_4,V,hAPP_val_option_val(some_val,V_2)))
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),hAPP_v834067052t_char(val_list_char,V_2)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H),L_4))) ) )
=> ~ ! [E] :
( E_b = throw_list_char(E)
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S),throw_list_char(E)),S_2)) ) ) ) ).
fof(fact_1051_BinOpRedsVal,axiom,
! [Bop,V_1,E_2,V_2_2,S_2_1,E_1,S_0,V_1_2,S_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,hAPP_v834067052t_char(val_list_char,V_1_2)),S_1)),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)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V_2_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_2))) = hAPP_val_option_val(some_val,V_1)
=> 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_1)),S_2_1)),transi2024712006on_val(red(Pa)))) ) ) ) ).
fof(fact_1052_binop_Osimps_I1_J,axiom,
! [V_1_2,V_2_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_2))) = hAPP_val_option_val(some_val,bool(hAPP_val_bool(hAPP_v1392248405l_bool(fequal_val,V_1_2),V_2_2))) ).
fof(fact_1053_BinOp,axiom,
! [Bop,V_1,E_2,V_2_2,S_2_1,Pa,E_1,S_0,V_1_2,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_0),hAPP_v834067052t_char(val_list_char,V_1_2)),S_1))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1),hAPP_v834067052t_char(val_list_char,V_2_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_2))) = hAPP_val_option_val(some_val,V_1)
=> 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_1)),S_2_1)) ) ) ) ).
fof(fact_1054_redp__redsp_ORedBinOp,axiom,
! [Pa,S,Bop,V_1_2,V_2_2,V_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_2))) = hAPP_val_option_val(some_val,V_1)
=> 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_2)),S),hAPP_v834067052t_char(val_list_char,V_1)),S)) ) ).
fof(fact_1055_red__reds_ORedBinOp,axiom,
! [S,Pa,Bop,V_1_2,V_2_2,V_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_2))) = hAPP_val_option_val(some_val,V_1)
=> 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_2))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V_1)),S)),red(Pa))) ) ).
fof(fact_1056_eval__cases_I3_J,axiom,
! [Pa,E_1,Bop,E_2,S,E_b,S_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,binOp_list_char(E_1,Bop,E_2),S),E_b),S_2))
=> ( ! [V_1_3,S_1_1,V_2_3,V_2] :
( E_b = hAPP_v834067052t_char(val_list_char,V_2)
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S),hAPP_v834067052t_char(val_list_char,V_1_3)),S_1_1))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_1),hAPP_v834067052t_char(val_list_char,V_2_3)),S_2))
=> binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,Bop),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,V_1_3),V_2_3))) != hAPP_val_option_val(some_val,V_2) ) ) )
=> ( ! [E_3] :
( E_b = throw_list_char(E_3)
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S),throw_list_char(E_3)),S_2)) )
=> ~ ! [V_1_3,S_1_1,E_3] :
( E_b = throw_list_char(E_3)
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S),hAPP_v834067052t_char(val_list_char,V_1_3)),S_1_1))
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_1),throw_list_char(E_3)),S_2)) ) ) ) ) ) ).
fof(fact_1057_FAccRedsVal,axiom,
! [Fa,Da,V_1,C,Fs,Eb,S,A,S_2,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(A))),S_2)),transi2024712006on_val(red(Pa))))
=> ( hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S_2),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs))
=> ( hAPP_P2094403585on_val(Fs,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Fa),Da)) = hAPP_val_option_val(some_val,V_1)
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAcc_list_char(Eb,Fa,Da)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V_1)),S_2)),transi2024712006on_val(red(Pa)))) ) ) ) ).
fof(fact_1058_WTrtBlock,axiom,
! [Pa,Hb,Ea,V,Ta,Eb,T] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,fun_up424764369ion_ty(Ea,V,hAPP_ty_option_ty(some_ty,Ta)),Eb),T))
=> hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,block_list_char(V,Ta,Eb)),T)) ) ).
fof(fact_1059_hext__upd__obj,axiom,
! [Fs_2,Hb,A,C,Fs] :
( hAPP_n546249108on_val(Hb,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs))
=> hBOOL(hext(Hb,fun_up2041264236on_val(Hb,A,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_2))))) ) ).
fof(fact_1060_FAss,axiom,
! [H_2_1,Fs_2,Fa,Da,C,Fs,E_2,V_1,H_2,L_2,Pa,E_1,S_0,A,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_0),hAPP_v834067052t_char(val_list_char,addr(A))),S_1))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1),hAPP_v834067052t_char(val_list_char,V_1)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),L_2)))
=> ( hAPP_n546249108on_val(H_2,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs))
=> ( Fs_2 = fun_up204312361on_val(Fs,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Fa),Da),hAPP_val_option_val(some_val,V_1))
=> ( H_2_1 = fun_up2041264236on_val(H_2,A,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_2)))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAss_list_char(E_1,Fa,Da,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_1061_redp__redsp_ORedFAss,axiom,
! [Pa,Fa,Da,V_1,Lb,Hb,A,C,Fs] :
( hAPP_n546249108on_val(Hb,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(hAPP_v834067052t_char(val_list_char,addr(A)),Fa,Da,hAPP_v834067052t_char(val_list_char,V_1)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,fun_up2041264236on_val(Hb,A,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),fun_up204312361on_val(Fs,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Fa),Da),hAPP_val_option_val(some_val,V_1)))))),Lb))) ) ).
fof(fact_1062_red__reds_ORedFAss,axiom,
! [Fa,Da,V_1,Lb,Pa,Hb,A,C,Fs] :
( hAPP_n546249108on_val(Hb,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs))
=> hBOOL(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)),Fa,Da,hAPP_v834067052t_char(val_list_char,V_1))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,fun_up2041264236on_val(Hb,A,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),fun_up204312361on_val(Fs,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Fa),Da),hAPP_val_option_val(some_val,V_1)))))),Lb))),red(Pa))) ) ).
fof(fact_1063_FAssRedsVal,axiom,
! [Fa,Da,C,Fs,E_2,V_1,H_2,L_2,E_1,S_0,A,S_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,hAPP_v834067052t_char(val_list_char,addr(A))),S_1)),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)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V_1)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),L_2))),transi2024712006on_val(red(Pa))))
=> ( hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs)) = hAPP_n546249108on_val(H_2,A)
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,fAss_list_char(E_1,Fa,Da,E_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,fun_up2041264236on_val(H_2,A,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),fun_up204312361on_val(Fs,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Fa),Da),hAPP_val_option_val(some_val,V_1)))))),L_2))),transi2024712006on_val(red(Pa)))) ) ) ) ).
fof(fact_1064_FAcc,axiom,
! [Fa,Da,V_1,C,Fs,Pa,Eb,S_0,A,Hb,Lb] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,addr(A))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)))
=> ( hAPP_n546249108on_val(Hb,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs))
=> ( hAPP_P2094403585on_val(Fs,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Fa),Da)) = hAPP_val_option_val(some_val,V_1)
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAcc_list_char(Eb,Fa,Da),S_0),hAPP_v834067052t_char(val_list_char,V_1)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))) ) ) ) ).
fof(fact_1065_redp__redsp_ORedFAcc,axiom,
! [Pa,Fa,Da,V_1,S,A,C,Fs] :
( hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs))
=> ( hAPP_P2094403585on_val(Fs,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Fa),Da)) = hAPP_val_option_val(some_val,V_1)
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAcc_list_char(hAPP_v834067052t_char(val_list_char,addr(A)),Fa,Da),S),hAPP_v834067052t_char(val_list_char,V_1)),S)) ) ) ).
fof(fact_1066_red__reds_ORedFAcc,axiom,
! [Pa,Fa,Da,V_1,S,A,C,Fs] :
( hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs))
=> ( hAPP_P2094403585on_val(Fs,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Fa),Da)) = hAPP_val_option_val(some_val,V_1)
=> 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)),Fa,Da)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,V_1)),S)),red(Pa))) ) ) ).
fof(fact_1067_TryCatchRedsFinal,axiom,
! [E_2,V,E_2_a,H_2,L_2,C,Da,Fs,E_1,S_0,A,H_1_1,L_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,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1_1),L_1_2))),transi2024712006on_val(red(Pa))))
=> ( hAPP_n546249108on_val(H_1_1,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Da),Fs))
=> ( hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Da),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_1),fun_up1149430426on_val(L_1_2,V,hAPP_val_option_val(some_val,addr(A)))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),L_2))),transi2024712006on_val(red(Pa))))
=> ( hBOOL(final_list_char(E_2_a))
=> 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,E_2)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_2_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),fun_up1149430426on_val(L_2,V,hAPP_l207779698on_val(L_1_2,V))))),transi2024712006on_val(red(Pa)))) ) ) ) ) ) ).
fof(fact_1068_hext__def,axiom,
! [Hb,H_b] :
( hBOOL(hext(Hb,H_b))
<=> ! [A_1,C_2,Fs_1] :
( hAPP_n546249108on_val(Hb,A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C_2),Fs_1))
=> ? [Fs_3] : hAPP_n546249108on_val(H_b,A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C_2),Fs_3)) ) ) ).
fof(fact_1069_hext__objD,axiom,
! [A,C,Fs,Hb,H_b] :
( hBOOL(hext(Hb,H_b))
=> ( hAPP_n546249108on_val(Hb,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs))
=> ? [Fs_3] : hAPP_n546249108on_val(H_b,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_3)) ) ) ).
fof(fact_1070_TryRedsFail,axiom,
! [V,E_2,C,Da,Fs,E_1,S,A,Hb,Lb,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_1),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),transi2024712006on_val(red(Pa))))
=> ( hAPP_n546249108on_val(Hb,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Da),Fs))
=> ( ~ hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Da),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,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),transi2024712006on_val(red(Pa)))) ) ) ) ).
fof(fact_1071_Cast,axiom,
! [C,Da,Fs,Pa,Eb,S_0,A,Hb,Lb] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,addr(A))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)))
=> ( hAPP_n546249108on_val(Hb,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Da),Fs))
=> ( hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Da),C),transi1395422419t_char(subcls851966956t_char(Pa))))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cast_list_char(C,Eb),S_0),hAPP_v834067052t_char(val_list_char,addr(A))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))) ) ) ) ).
fof(fact_1072_TryThrow,axiom,
! [V,E_2,C,Da,Fs,Pa,E_1,S_0,A,H_1_1,L_1_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1_1),L_1_2)))
=> ( hAPP_n546249108on_val(H_1_1,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Da),Fs))
=> ( ~ hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Da),C),transi1395422419t_char(subcls851966956t_char(Pa))))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,tryCatch_list_char(E_1,C,V,E_2),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1_1),L_1_2))) ) ) ) ).
fof(fact_1073_red__reds_ORedCast,axiom,
! [C,Pa,S,A,Da,Fs] :
( hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Da),Fs))
=> ( hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Da),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)))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(A))),S)),red(Pa))) ) ) ).
fof(fact_1074_red__reds_ORedTryFail,axiom,
! [V,E_2,C,Pa,S,A,Da,Fs] :
( hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Da),Fs))
=> ( ~ hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Da),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))),C,V,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),S)),red(Pa))) ) ) ).
fof(fact_1075_CastRedsAddr,axiom,
! [C,Da,Fs,Eb,S,A,S_2,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(A))),S_2)),transi2024712006on_val(red(Pa))))
=> ( hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S_2),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Da),Fs))
=> ( hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Da),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,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(A))),S_2)),transi2024712006on_val(red(Pa)))) ) ) ) ).
fof(fact_1076_TryCatch,axiom,
! [E_2,V,E_2_a,H_2,L_2,C,Da,Fs,Pa,E_1,S_0,A,H_1_1,L_1_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1_1),L_1_2)))
=> ( hAPP_n546249108on_val(H_1_1,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Da),Fs))
=> ( hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Da),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_1),fun_up1149430426on_val(L_1_2,V,hAPP_val_option_val(some_val,addr(A))))),E_2_a),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,E_2),S_0),E_2_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),fun_up1149430426on_val(L_2,V,hAPP_l207779698on_val(L_1_2,V))))) ) ) ) ) ).
fof(fact_1077_CastRedsFail,axiom,
! [C,Da,Fs,Eb,S,A,S_2,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(A))),S_2)),transi2024712006on_val(red(Pa))))
=> ( hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S_2),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Da),Fs))
=> ( ~ hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Da),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,Eb)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(classCast))))),S_2)),transi2024712006on_val(red(Pa)))) ) ) ) ).
fof(fact_1078_red__reds_ORedCastFail,axiom,
! [C,Pa,S,A,Da,Fs] :
( hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Da),Fs))
=> ( ~ hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Da),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)))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(classCast))))),S)),red(Pa))) ) ) ).
fof(fact_1079_CastFail,axiom,
! [C,Da,Fs,Pa,Eb,S_0,A,Hb,Lb] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,addr(A))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)))
=> ( hAPP_n546249108on_val(Hb,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Da),Fs))
=> ( ~ hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Da),C),transi1395422419t_char(subcls851966956t_char(Pa))))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cast_list_char(C,Eb),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(classCast))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))) ) ) ) ).
fof(fact_1080_red__reds_ORedTryCatch,axiom,
! [V,E_2,C,Pa,S,A,Da,Fs] :
( hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Da),Fs))
=> ( hBOOL(member1251428284t_char(hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,Da),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))),C,V,E_2)),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(V,hAPP_list_char_ty(class,C),seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,addr(A))),E_2))),S)),red(Pa))) ) ) ).
fof(fact_1081_BlockRedsFinal,axiom,
! [Ta,H_0_1,L_0_1,V,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_1),fun_up1149430426on_val(L_0_1,V,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,Ta,E_0)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_0_1),L_0_1))),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,hAPP_l207779698on_val(L_0_1,V))))),transi2024712006on_val(red(Pa)))) ) ) ) ).
fof(fact_1082_WTrtTry,axiom,
! [V,C,E_2,T_2,Pa,Hb,Ea,E_1,T_1] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,E_1),T_1))
=> ( hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,fun_up424764369ion_ty(Ea,V,hAPP_ty_option_ty(some_ty,hAPP_list_char_ty(class,C))),E_2),T_2))
=> ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_1),T_2))
=> hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,tryCatch_list_char(E_1,C,V,E_2)),T_2)) ) ) ) ).
fof(fact_1083_ty_Osimps_I8_J,axiom,
! [List_1] : void != hAPP_list_char_ty(class,List_1) ).
fof(fact_1084_ty_Osimps_I9_J,axiom,
! [List_1] : hAPP_list_char_ty(class,List_1) != void ).
fof(fact_1085_ty_Oinject,axiom,
! [List_3,List_2] :
( hAPP_list_char_ty(class,List_3) = hAPP_list_char_ty(class,List_2)
<=> List_3 = List_2 ) ).
fof(fact_1086_ty_Osimps_I15_J,axiom,
! [List_1] : hAPP_list_char_ty(class,List_1) != boolean ).
fof(fact_1087_ty_Osimps_I14_J,axiom,
! [List_1] : boolean != hAPP_list_char_ty(class,List_1) ).
fof(fact_1088_ty_Osimps_I20_J,axiom,
! [List_1] : nt != hAPP_list_char_ty(class,List_1) ).
fof(fact_1089_ty_Osimps_I21_J,axiom,
! [List_1] : hAPP_list_char_ty(class,List_1) != nt ).
fof(fact_1090_ty_Osimps_I18_J,axiom,
! [List_1] : integer != hAPP_list_char_ty(class,List_1) ).
fof(fact_1091_ty_Osimps_I19_J,axiom,
! [List_1] : hAPP_list_char_ty(class,List_1) != integer ).
fof(fact_1092_is__refT__def,axiom,
! [Ta] :
( hBOOL(hAPP_ty_bool(is_refT,Ta))
<=> ( Ta = nt
| ? [C_2] : Ta = hAPP_list_char_ty(class,C_2) ) ) ).
fof(fact_1093_default__val_Osimps_I5_J,axiom,
! [C_3] : hAPP_ty_val(default_val,hAPP_list_char_ty(class,C_3)) = null ).
fof(fact_1094_Block,axiom,
! [Ta,Pa,E_0,H_0_1,L_0_1,V,E_1,H_1_1,L_1_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_0,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_0_1),fun_up1149430426on_val(L_0_1,V,none_val))),E_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1_1),L_1_2)))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,block_list_char(V,Ta,E_0),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_0_1),L_0_1)),E_1),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1_1),fun_up1149430426on_val(L_1_2,V,hAPP_l207779698on_val(L_0_1,V))))) ) ).
fof(fact_1095_binop_Osimps_I10_J,axiom,
! [V_1_1,V_3] : binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,add),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,V_1_1),addr(V_3)))) = none_val ).
fof(fact_1096_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_1097_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_1098_binop_Osimps_I8_J,axiom,
! [V_1_1] : binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,add),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,V_1_1),null))) = none_val ).
fof(fact_1099_binop_Osimps_I9_J,axiom,
! [V_1_2,V_1] : 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_1)))) = none_val ).
fof(fact_1100_binop_Osimps_I5_J,axiom,
! [V_1,V_2_2] : binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,add),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,bool(V_1)),V_2_2))) = none_val ).
fof(fact_1101_binop_Osimps_I7_J,axiom,
! [V_1_1] : binop(hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,add),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,V_1_1),unit))) = none_val ).
fof(fact_1102_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_1103_WTrt__elim__cases_I5_J,axiom,
! [Pa,Hb,Ea,E_1,C,V,E_2,Ta] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,tryCatch_list_char(E_1,C,V,E_2)),Ta))
=> ~ ! [T_1_1] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,E_1),T_1_1))
=> ( hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,fun_up424764369ion_ty(Ea,V,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_1),Ta)) ) ) ) ).
fof(fact_1104_red__reds_OBlockRedSome,axiom,
! [Ta,V_1,Eb,Hb,Lb,V,E_b,H_b,L_b,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),fun_up1149430426on_val(Lb,V,none_val)))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))),red(Pa)))
=> ( hAPP_l207779698on_val(L_b,V) = hAPP_val_option_val(some_val,V_1)
=> ( ~ hBOOL(assigned(V,Eb))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(V,Ta,Eb)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(V,Ta,seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_1)),E_b))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),fun_up1149430426on_val(L_b,V,hAPP_l207779698on_val(Lb,V))))),red(Pa))) ) ) ) ).
fof(fact_1105_hext__new,axiom,
! [X_2,Hb,A] :
( hAPP_n546249108on_val(Hb,A) = none_P179726773on_val
=> hBOOL(hext(Hb,fun_up2041264236on_val(Hb,A,hAPP_P1510515380on_val(some_P948696889on_val,X_2)))) ) ).
fof(fact_1106_redp__redsp_OBlockRedNone,axiom,
! [Ta,Pa,Eb,Hb,Lb,V,E_b,H_b,L_b] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),fun_up1149430426on_val(Lb,V,none_val))),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))
=> ( hAPP_l207779698on_val(L_b,V) = none_val
=> ( ~ hBOOL(assigned(V,Eb))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(V,Ta,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),block_list_char(V,Ta,E_b)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),fun_up1149430426on_val(L_b,V,hAPP_l207779698on_val(Lb,V))))) ) ) ) ).
fof(fact_1107_red__reds_OBlockRedNone,axiom,
! [Ta,Eb,Hb,Lb,V,E_b,H_b,L_b,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),fun_up1149430426on_val(Lb,V,none_val)))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))),red(Pa)))
=> ( hAPP_l207779698on_val(L_b,V) = none_val
=> ( ~ hBOOL(assigned(V,Eb))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(V,Ta,Eb)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,block_list_char(V,Ta,E_b)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),fun_up1149430426on_val(L_b,V,hAPP_l207779698on_val(Lb,V))))),red(Pa))) ) ) ) ).
fof(fact_1108_redp__redsp_OBlockRedSome,axiom,
! [Ta,V_1,Pa,Eb,Hb,Lb,V,E_b,H_b,L_b] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Eb,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),fun_up1149430426on_val(Lb,V,none_val))),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))
=> ( hAPP_l207779698on_val(L_b,V) = hAPP_val_option_val(some_val,V_1)
=> ( ~ hBOOL(assigned(V,Eb))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(V,Ta,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),block_list_char(V,Ta,seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_1)),E_b))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),fun_up1149430426on_val(L_b,V,hAPP_l207779698on_val(Lb,V))))) ) ) ) ).
fof(fact_1109_ty_Oexhaust,axiom,
! [Y] :
( Y != void
=> ( Y != boolean
=> ( Y != integer
=> ( Y != nt
=> ~ ! [List] : Y != hAPP_list_char_ty(class,List) ) ) ) ) ).
fof(fact_1110_eval__cases_I8_J,axiom,
! [Pa,V,Ta,E_1,S,E_b,S_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,block_list_char(V,Ta,E_1),S),E_b),S_2))
=> ~ ! [H_0,L_0] :
( S = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_0),L_0)
=> ! [H_1,L_1_1] :
( S_2 = hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1),fun_up1149430426on_val(L_1_1,V,hAPP_l207779698on_val(L_0,V)))
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_0),fun_up1149430426on_val(L_0,V,none_val))),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_1),L_1_1))) ) ) ) ).
fof(fact_1111_assigned__def,axiom,
! [V,Eb] :
( hBOOL(assigned(V,Eb))
<=> ? [V_2,E] : Eb = seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_2)),E) ) ).
fof(fact_1112_refTE,axiom,
! [T_4] :
( hBOOL(hAPP_ty_bool(is_refT,T_4))
=> ( T_4 != nt
=> ~ ! [C_2] : T_4 != hAPP_list_char_ty(class,C_2) ) ) ).
fof(fact_1113_redp__redsp_ORedTryCatch,axiom,
! [V,E_2,Pa,C,S,A,Da,Fs] :
( hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Da),Fs))
=> ( hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(transi1065307915t_char(subcls744239332t_char(Pa)),Da),C))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,tryCatch_list_char(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A))),C,V,E_2),S),block_list_char(V,hAPP_list_char_ty(class,C),seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,addr(A))),E_2))),S)) ) ) ).
fof(fact_1114_redp__redsp_ORedCastFail,axiom,
! [Pa,C,S,A,Da,Fs] :
( hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Da),Fs))
=> ( ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(transi1065307915t_char(subcls744239332t_char(Pa)),Da),C))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cast_list_char(C,hAPP_v834067052t_char(val_list_char,addr(A))),S),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(classCast))))),S)) ) ) ).
fof(fact_1115_redp__redsp_ORedCast,axiom,
! [Pa,C,S,A,Da,Fs] :
( hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Da),Fs))
=> ( hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(transi1065307915t_char(subcls744239332t_char(Pa)),Da),C))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cast_list_char(C,hAPP_v834067052t_char(val_list_char,addr(A))),S),hAPP_v834067052t_char(val_list_char,addr(A))),S)) ) ) ).
fof(fact_1116_redp__redsp_ORedTryFail,axiom,
! [V,E_2,Pa,C,S,A,Da,Fs] :
( hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,Da),Fs))
=> ( ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(transi1065307915t_char(subcls744239332t_char(Pa)),Da),C))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,tryCatch_list_char(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A))),C,V,E_2),S),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),S)) ) ) ).
fof(fact_1117_finalRefE,axiom,
! [Pa,Hb,Ea,Eb,Ta] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,Eb),Ta))
=> ( hBOOL(hAPP_ty_bool(is_refT,Ta))
=> ( hBOOL(final_list_char(Eb))
=> ( Eb != hAPP_v834067052t_char(val_list_char,null)
=> ( ( ? [A_1] : Eb = hAPP_v834067052t_char(val_list_char,addr(A_1))
=> ! [C_2] : Ta != hAPP_list_char_ty(class,C_2) )
=> ~ ! [A_1] : Eb != throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1))) ) ) ) ) ) ).
fof(fact_1118_WTrtFAss,axiom,
! [E_2,T_2,Fa,Ta,Da,Pa,Hb,Ea,E_1,C] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,E_1),hAPP_list_char_ty(class,C)))
=> ( hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(Pa,C,Fa,Ta),Da))
=> ( hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,E_2),T_2))
=> ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_2),Ta))
=> hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,fAss_list_char(E_1,Fa,Da,E_2)),void)) ) ) ) ) ).
fof(fact_1119_WTrtFAcc,axiom,
! [Fa,Ta,Da,Pa,Hb,Ea,Eb,C] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,Eb),hAPP_list_char_ty(class,C)))
=> ( hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(Pa,C,Fa,Ta),Da))
=> hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,fAcc_list_char(Eb,Fa,Da)),Ta)) ) ) ).
fof(fact_1120_WTrt__elim__cases_I7_J,axiom,
! [Pa,Hb,Ea,Eb,Fa,Da,Ta] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,fAcc_list_char(Eb,Fa,Da)),Ta))
=> ( ! [C_2] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,Eb),hAPP_list_char_ty(class,C_2)))
=> ~ hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(Pa,C_2,Fa,Ta),Da)) )
=> hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,Eb),nt)) ) ) ).
fof(fact_1121_WTrt__elim__cases_I8_J,axiom,
! [Pa,Hb,Ea,Eb,Fa,Da,V_1,Ta] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,fAss_list_char(Eb,Fa,Da,V_1)),Ta))
=> ( ( Ta = void
=> ! [C_2] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,Eb),hAPP_list_char_ty(class,C_2)))
=> ! [T_3] :
( hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(Pa,C_2,Fa,T_3),Da))
=> ! [T_2_1] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,V_1),T_2_1))
=> ~ hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_2_1),T_3)) ) ) ) )
=> ~ ( Ta = void
=> ( hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,Eb),nt))
=> ! [T_2_1] : ~ hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,V_1),T_2_1)) ) ) ) ) ).
fof(fact_1122_final__addrE,axiom,
! [Pa,Hb,Ea,Eb,C] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,Eb),hAPP_list_char_ty(class,C)))
=> ( hBOOL(final_list_char(Eb))
=> ( ! [A_1] : Eb != hAPP_v834067052t_char(val_list_char,addr(A_1))
=> ~ ! [A_1] : Eb != throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1))) ) ) ) ).
fof(fact_1123_WTrtCast,axiom,
! [C,Pa,Hb,Ea,Eb,Ta] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,Eb),Ta))
=> ( hBOOL(hAPP_ty_bool(is_refT,Ta))
=> ( hBOOL(hAPP_list_char_bool(is_cla570604648t_char(Pa),C))
=> hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,cast_list_char(C,Eb)),hAPP_list_char_ty(class,C))) ) ) ) ).
fof(fact_1124_WTrt__elim__cases_I6_J,axiom,
! [Pa,Hb,Ea,Da,Eb,Ta] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,cast_list_char(Da,Eb)),Ta))
=> ~ ( Ta = hAPP_list_char_ty(class,Da)
=> ! [T_3] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,Eb),T_3))
=> ( hBOOL(hAPP_ty_bool(is_refT,T_3))
=> ~ hBOOL(hAPP_list_char_bool(is_cla570604648t_char(Pa),Da)) ) ) ) ) ).
fof(fact_1125_hextI,axiom,
! [H_b,Hb] :
( ! [A_1,C_2,Fs_1] :
( hAPP_n546249108on_val(Hb,A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C_2),Fs_1))
=> ? [Fs_3] : hAPP_n546249108on_val(H_b,A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C_2),Fs_3)) )
=> hBOOL(hext(Hb,H_b)) ) ).
fof(fact_1126_WTrts__Val,axiom,
! [Pa,Hb,Ea,Vs_1,Ts] :
( hBOOL(wTrts_1(Pa,Hb,Ea,hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vs_1),Ts))
<=> hAPP_l2006940821ion_ty(map_val_option_ty(typeof_h(Hb)),Vs_1) = hAPP_l1487035934ion_ty(map_ty_option_ty(some_ty),Ts) ) ).
fof(fact_1127_WTrtVal,axiom,
! [Pa,Ea,Hb,V_1,Ta] :
( hAPP_val_option_ty(typeof_h(Hb),V_1) = hAPP_ty_option_ty(some_ty,Ta)
=> hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,hAPP_v834067052t_char(val_list_char,V_1)),Ta)) ) ).
fof(fact_1128_hext__typeof__mono,axiom,
! [V_1,Ta,Hb,H_b] :
( hBOOL(hext(Hb,H_b))
=> ( hAPP_val_option_ty(typeof_h(Hb),V_1) = hAPP_ty_option_ty(some_ty,Ta)
=> hAPP_val_option_ty(typeof_h(H_b),V_1) = hAPP_ty_option_ty(some_ty,Ta) ) ) ).
fof(fact_1129_typeof__lit__typeof,axiom,
! [Hb,V_1,Ta] :
( hAPP_val_option_ty(typeof_h(hAPP_o1576581476on_val(cOMBK_1944287343al_nat,none_P179726773on_val)),V_1) = hAPP_ty_option_ty(some_ty,Ta)
=> hAPP_val_option_ty(typeof_h(Hb),V_1) = hAPP_ty_option_ty(some_ty,Ta) ) ).
fof(fact_1130_typeof__h_Osimps_I2_J,axiom,
! [Hb] : hAPP_val_option_ty(typeof_h(Hb),null) = hAPP_ty_option_ty(some_ty,nt) ).
fof(fact_1131_typeof__h_Osimps_I3_J,axiom,
! [Hb,B] : hAPP_val_option_ty(typeof_h(Hb),bool(B)) = hAPP_ty_option_ty(some_ty,boolean) ).
fof(fact_1132_typeof__h_Osimps_I1_J,axiom,
! [Hb] : hAPP_val_option_ty(typeof_h(Hb),unit) = hAPP_ty_option_ty(some_ty,void) ).
fof(fact_1133_typeof__h_Osimps_I5_J,axiom,
! [Hb,A] : hAPP_val_option_ty(typeof_h(Hb),addr(A)) = option1388193227on_val(none_ty,hAPP_f46308763ion_ty(produc907433735ion_ty,hAPP_f451501457ion_ty(hAPP_f509342689ion_ty(cOMBB_352765746t_char,cOMBK_184479553on_val),hAPP_f359949478ion_ty(hAPP_f1243585741ion_ty(cOMBB_1888336841t_char,some_ty),class))),hAPP_n546249108on_val(Hb,A)) ).
fof(fact_1134_WTrt_H__WTrts_H_Ointros_I16_J,axiom,
! [Ea,V,E_2,T_2,Pa,Ta,Hb,V_1,T_1] :
( hAPP_val_option_ty(typeof_h(Hb),V_1) = hAPP_ty_option_ty(some_ty,T_1)
=> ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_1),Ta))
=> ( hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,fun_up424764369ion_ty(Ea,V,hAPP_ty_option_ty(some_ty,Ta)),E_2),T_2))
=> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,block_list_char(V,Ta,seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_1)),E_2))),T_2)) ) ) ) ).
fof(fact_1135_WTrt_H__WTrts_H_Ointros_I3_J,axiom,
! [Pa,Ea,Hb,V_1,Ta] :
( hAPP_val_option_ty(typeof_h(Hb),V_1) = hAPP_ty_option_ty(some_ty,Ta)
=> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,hAPP_v834067052t_char(val_list_char,V_1)),Ta)) ) ).
fof(fact_1136_wt_H__iff__wt,axiom,
! [Pa,Hb,Ea,Eb,Ta] :
( hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,Eb),Ta))
<=> hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,Eb),Ta)) ) ).
fof(fact_1137_wt_H__wt,axiom,
! [Pa,Hb,Ea,Eb,Ta] :
( hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,Eb),Ta))
=> hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,Eb),Ta)) ) ).
fof(fact_1138_wt__wt_H,axiom,
! [Pa,Hb,Ea,Eb,Ta] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,Eb),Ta))
=> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,Eb),Ta)) ) ).
fof(fact_1139_WTrt_H__WTrts_H_Ointros_I18_J,axiom,
! [E_2,T_2,Pa,Hb,Ea,E_1,T_1] :
( hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,E_1),T_1))
=> ( hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,E_2),T_2))
=> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,seq_list_char(E_1,E_2)),T_2)) ) ) ).
fof(fact_1140_WTrt_H__WTrts_H_Ointros_I9_J,axiom,
! [Fa,Da,Ta,Pa,Hb,Ea,Eb] :
( hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,Eb),nt))
=> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,fAcc_list_char(Eb,Fa,Da)),Ta)) ) ).
fof(fact_1141_WTrt_H__WTrts_H_Ointros_I21_J,axiom,
! [Ta,Pa,Hb,Ea,Eb,T_r] :
( hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,Eb),T_r))
=> ( hBOOL(hAPP_ty_bool(is_refT,T_r))
=> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,throw_list_char(Eb)),Ta)) ) ) ).
fof(fact_1142_WTrt_H__WTrts_H_Ointros_I11_J,axiom,
! [Fa,Da,E_2,T_2,Pa,Hb,Ea,E_1] :
( hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,E_1),nt))
=> ( hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,E_2),T_2))
=> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,fAss_list_char(E_1,Fa,Da,E_2)),void)) ) ) ).
fof(fact_1143_WTrt_H__WTrts_H_Ointros_I19_J,axiom,
! [Ta,E_2,T_2,E_1,T_1,Pa,Hb,Ea,Eb] :
( hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,Eb),boolean))
=> ( hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,E_1),T_1))
=> ( hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,E_2),T_2))
=> ( ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_1),T_2))
| hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_2),T_1)) )
=> ( ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_1),T_2))
=> Ta = T_2 )
=> ( ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_2),T_1))
=> Ta = T_1 )
=> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,cond_list_char(Eb,E_1,E_2)),Ta)) ) ) ) ) ) ) ).
fof(fact_1144_WTrt_H__WTrts_H_Ointros_I20_J,axiom,
! [C_1,Ta,Pa,Hb,Ea,Eb] :
( hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,Eb),boolean))
=> ( hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,C_1),Ta))
=> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,while_list_char(Eb,C_1)),void)) ) ) ).
fof(fact_1145_WTrt_H__WTrts_H_Ointros_I6_J,axiom,
! [E_2,Pa,Hb,Ea,E_1] :
( hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,E_1),integer))
=> ( hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,E_2),integer))
=> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,binOp_list_char(E_1,add,E_2)),integer)) ) ) ).
fof(fact_1146_WTrt_H__WTrts_H_Ointros_I5_J,axiom,
! [E_2,T_2,Pa,Hb,Ea,E_1,T_1] :
( hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,E_1),T_1))
=> ( hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,E_2),T_2))
=> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,binOp_list_char(E_1,c_Expr_Obop_OEq,E_2)),boolean)) ) ) ).
fof(fact_1147_WTrt_H__WTrts_H_Ointros_I8_J,axiom,
! [Fa,Ta,Da,Pa,Hb,Ea,Eb,C] :
( hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,Eb),hAPP_list_char_ty(class,C)))
=> ( hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(Pa,C,Fa,Ta),Da))
=> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,fAcc_list_char(Eb,Fa,Da)),Ta)) ) ) ).
fof(fact_1148_WTrt_H__WTrts_H_Ointros_I2_J,axiom,
! [C,Pa,Hb,Ea,Eb,Ta] :
( hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,Eb),Ta))
=> ( hBOOL(hAPP_ty_bool(is_refT,Ta))
=> ( hBOOL(hAPP_list_char_bool(is_cla570604648t_char(Pa),C))
=> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,cast_list_char(C,Eb)),hAPP_list_char_ty(class,C))) ) ) ) ).
fof(fact_1149_WTrt_H__WTrts_H_Ointros_I17_J,axiom,
! [Pa,Hb,Ea,V,Ta,Eb,T] :
( hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,fun_up424764369ion_ty(Ea,V,hAPP_ty_option_ty(some_ty,Ta)),Eb),T))
=> ( ~ hBOOL(assigned(V,Eb))
=> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,block_list_char(V,Ta,Eb)),T)) ) ) ).
fof(fact_1150_WTrt_H__WTrts_H_Ointros_I22_J,axiom,
! [V,C,E_2,T_2,Pa,Hb,Ea,E_1,T_1] :
( hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,E_1),T_1))
=> ( hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,fun_up424764369ion_ty(Ea,V,hAPP_ty_option_ty(some_ty,hAPP_list_char_ty(class,C))),E_2),T_2))
=> ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_1),T_2))
=> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,tryCatch_list_char(E_1,C,V,E_2)),T_2)) ) ) ) ).
fof(fact_1151_WTrt_H__WTrts_H_Ointros_I10_J,axiom,
! [E_2,T_2,Fa,Ta,Da,Pa,Hb,Ea,E_1,C] :
( hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,E_1),hAPP_list_char_ty(class,C)))
=> ( hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(Pa,C,Fa,Ta),Da))
=> ( hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,E_2),T_2))
=> ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_2),Ta))
=> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,fAss_list_char(E_1,Fa,Da,E_2)),void)) ) ) ) ) ).
fof(fact_1152_typeof__ClassCast,axiom,
! [Hb] :
( hBOOL(preallocated(Hb))
=> hAPP_val_option_ty(typeof_h(Hb),addr(addr_of_sys_xcpt(classCast))) = hAPP_ty_option_ty(some_ty,hAPP_list_char_ty(class,classCast)) ) ).
fof(fact_1153_preallocated__hext,axiom,
! [H_b,Hb] :
( hBOOL(preallocated(Hb))
=> ( hBOOL(hext(Hb,H_b))
=> hBOOL(preallocated(H_b)) ) ) ).
fof(fact_1154_preallocated__upd__obj,axiom,
! [Fs_2,A,C,Fs,Hb] :
( hBOOL(preallocated(Hb))
=> ( hAPP_n546249108on_val(Hb,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs))
=> hBOOL(preallocated(fun_up2041264236on_val(Hb,A,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_2))))) ) ) ).
fof(fact_1155_preallocated__new,axiom,
! [X_2,A,Hb] :
( hBOOL(preallocated(Hb))
=> ( hAPP_n546249108on_val(Hb,A) = none_P179726773on_val
=> hBOOL(preallocated(fun_up2041264236on_val(Hb,A,hAPP_P1510515380on_val(some_P948696889on_val,X_2)))) ) ) ).
fof(fact_1156_typeof__NullPointer,axiom,
! [Hb] :
( hBOOL(preallocated(Hb))
=> hAPP_val_option_ty(typeof_h(Hb),addr(addr_of_sys_xcpt(nullPointer))) = hAPP_ty_option_ty(some_ty,hAPP_list_char_ty(class,nullPointer)) ) ).
fof(fact_1157_typeof__OutOfMemory,axiom,
! [Hb] :
( hBOOL(preallocated(Hb))
=> hAPP_val_option_ty(typeof_h(Hb),addr(addr_of_sys_xcpt(outOfMemory))) = hAPP_ty_option_ty(some_ty,hAPP_list_char_ty(class,outOfMemory)) ) ).
fof(fact_1158_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_1159_preallocatedE,axiom,
! [Pa,C,Hb] :
( hBOOL(preallocated(Hb))
=> ( hBOOL(member_list_char(C,sys_xcpts))
=> ( ! [Fs_1] :
( hAPP_n546249108on_val(Hb,addr_of_sys_xcpt(C)) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_1))
=> hBOOL(hAPP_list_char_bool(hAPP_f388705405r_bool(Pa,Hb),C)) )
=> hBOOL(hAPP_list_char_bool(hAPP_f388705405r_bool(Pa,Hb),C)) ) ) ) ).
fof(fact_1160_preallocatedD,axiom,
! [C,Hb] :
( hBOOL(preallocated(Hb))
=> ( hBOOL(member_list_char(C,sys_xcpts))
=> ? [Fs_1] : hAPP_n546249108on_val(Hb,addr_of_sys_xcpt(C)) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs_1)) ) ) ).
fof(fact_1161_preallocated__def,axiom,
! [Hb] :
( hBOOL(preallocated(Hb))
<=> ! [X_1] :
( hBOOL(member_list_char(X_1,sys_xcpts))
=> ? [Fs_1] : hAPP_n546249108on_val(Hb,addr_of_sys_xcpt(X_1)) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,X_1),Fs_1)) ) ) ).
fof(fact_1162_red__reds_ORedNewFail,axiom,
! [C,Lb,Pa,Hb] :
( new_Addr(Hb) = 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,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(outOfMemory))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),red(Pa))) ) ).
fof(fact_1163_WTrtNew,axiom,
! [Hb,Ea,Pa,C] :
( hBOOL(hAPP_list_char_bool(is_cla570604648t_char(Pa),C))
=> hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,new_list_char(C)),hAPP_list_char_ty(class,C))) ) ).
fof(fact_1164_WTrt__elim__cases_I10_J,axiom,
! [Pa,Hb,Ea,C,Ta] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,new_list_char(C)),Ta))
=> ~ ( Ta = hAPP_list_char_ty(class,C)
=> ~ hBOOL(hAPP_list_char_bool(is_cla570604648t_char(Pa),C)) ) ) ).
fof(fact_1165_new__Addr__SomeD,axiom,
! [Hb,A] :
( new_Addr(Hb) = hAPP_nat_option_nat(some_nat,A)
=> hAPP_n546249108on_val(Hb,A) = none_P179726773on_val ) ).
fof(fact_1166_New,axiom,
! [Lb,H_b,Pa,C,FDTs,Hb,A] :
( new_Addr(Hb) = hAPP_nat_option_nat(some_nat,A)
=> ( hBOOL(fields1147507508t_char(Pa,C,FDTs))
=> ( H_b = fun_up2041264236on_val(Hb,A,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),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,Hb),Lb)),hAPP_v834067052t_char(val_list_char,addr(A))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),Lb))) ) ) ) ).
fof(fact_1167_redp__redsp_ORedNew,axiom,
! [Lb,H_b,Pa,C,FDTs,Hb,A] :
( new_Addr(Hb) = hAPP_nat_option_nat(some_nat,A)
=> ( hBOOL(fields1147507508t_char(Pa,C,FDTs))
=> ( H_b = fun_up2041264236on_val(Hb,A,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),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,Hb),Lb)),hAPP_v834067052t_char(val_list_char,addr(A))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),Lb))) ) ) ) ).
fof(fact_1168_WTrt_H__WTrts_H_Ointros_I1_J,axiom,
! [Hb,Ea,Pa,C] :
( hBOOL(hAPP_list_char_bool(is_cla570604648t_char(Pa),C))
=> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,new_list_char(C)),hAPP_list_char_ty(class,C))) ) ).
fof(fact_1169_red__reds_ORedNew,axiom,
! [Lb,H_b,Pa,C,FDTs,Hb,A] :
( new_Addr(Hb) = hAPP_nat_option_nat(some_nat,A)
=> ( hBOOL(fields1147507508t_char(Pa,C,FDTs))
=> ( H_b = fun_up2041264236on_val(Hb,A,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),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,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(A))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),Lb))),red(Pa))) ) ) ) ).
fof(fact_1170_NewFail,axiom,
! [Pa,C,Lb,Hb] :
( new_Addr(Hb) = none_nat
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,new_list_char(C),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(outOfMemory))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))) ) ).
fof(fact_1171_redp__redsp_ORedNewFail,axiom,
! [Pa,C,Lb,Hb] :
( new_Addr(Hb) = none_nat
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,new_list_char(C),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(outOfMemory))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))) ) ).
fof(fact_1172_wf__J__prog__wf__J__mdecl,axiom,
! [Jmdcl,C,Da,Fds,Mths,Pa] :
( hBOOL(wf_pro755087577t_char(wf_J_mdecl,Pa))
=> ( hBOOL(member1467889965t_char(hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,C),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,Da),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,Fds),Mths))),set_Pr1494163115t_char(Pa)))
=> ( hBOOL(member1601084734t_char(Jmdcl,set_Pr2033386304t_char(Mths)))
=> hBOOL(hAPP_P1384137393r_bool(hAPP_l2054741776r_bool(hAPP_l2138409430r_bool(wf_J_mdecl,Pa),C),Jmdcl)) ) ) ) ).
fof(fact_1173_Red__fv,axiom,
! [Eb,Hb,Lb,E_b,H_b,L_b,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,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))),red(Pa)))
=> hBOOL(ord_le2092826700r_bool(fv(E_b),fv(Eb))) ) ) ).
fof(fact_1174_fv__fvs_Osimps_I14_J,axiom,
! [Eb] : fv(throw_list_char(Eb)) = fv(Eb) ).
fof(fact_1175_fv__fvs_Osimps_I7_J,axiom,
! [Eb,Fa,Da] : fv(fAcc_list_char(Eb,Fa,Da)) = fv(Eb) ).
fof(fact_1176_fv__fvs_Osimps_I2_J,axiom,
! [C,Eb] : fv(cast_list_char(C,Eb)) = fv(Eb) ).
fof(fact_1177_eval__notfree__unchanged,axiom,
! [V,Pa,Eb,Hb,Lb,E_b,H_b,L_b] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))
=> ( ~ hBOOL(member_list_char(V,fv(Eb)))
=> hAPP_l207779698on_val(L_b,V) = hAPP_l207779698on_val(Lb,V) ) ) ).
fof(fact_1178_eval__restrict__lcl,axiom,
! [W,Eb,Hb,Lb,E_b,H_b,L_b,Pa] :
( hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))
=> ( hBOOL(ord_le2092826700r_bool(fv(Eb),W))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),restri761823004ar_val(Lb,W))),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),restri761823004ar_val(L_b,W)))) ) ) ) ).
fof(fact_1179_CallRedsFinal,axiom,
! [Ef,H_3,L_3,L_2_1,M,Ts,Ta,Pns,Body,Da,C,Fs,Esa,Vs_1,H_2,L_2,Eb,S_0,A,S_1,Pa] :
( hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa))
=> ( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,hAPP_v834067052t_char(val_list_char,addr(A))),S_1)),transi2024712006on_val(red(Pa))))
=> ( hBOOL(member875476972on_val(hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,Esa),S_1)),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vs_1)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),L_2))),transi374442731on_val(reds(Pa))))
=> ( hAPP_n546249108on_val(H_2,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs))
=> ( hBOOL(hAPP_list_char_bool(method1809630380t_char(Pa,C,M,Ts,Ta,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Pns),Body)),Da))
=> ( size_size_list_val(Vs_1) = size_s2113983095t_char(Pns)
=> ( L_2_1 = map_up1085636310ar_val(fun_up1149430426on_val(hAPP_o538043682on_val(cOMBK_1097134891t_char,none_val),this,hAPP_val_option_val(some_val,addr(A))),Pns,Vs_1)
=> ( hBOOL(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(Eb,M,Esa)),S_0)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Ef),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_3),L_2))),transi2024712006on_val(red(Pa)))) ) ) ) ) ) ) ) ) ) ).
fof(fact_1180_Call,axiom,
! [E_b,H_3,L_3,L_2_1,M,Ts,Ta,Pns,Body,Da,C,Fs,Ps,Vs_1,H_2,L_2,Pa,Eb,S_0,A,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,S_0),hAPP_v834067052t_char(val_list_char,addr(A))),S_1))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Ps,S_1),hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vs_1)),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),L_2)))
=> ( hAPP_n546249108on_val(H_2,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs))
=> ( hBOOL(hAPP_list_char_bool(method1809630380t_char(Pa,C,M,Ts,Ta,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Pns),Body)),Da))
=> ( size_size_list_val(Vs_1) = size_s2113983095t_char(Pns)
=> ( L_2_1 = map_up1085636310ar_val(fun_up1149430426on_val(hAPP_o538043682on_val(cOMBK_1097134891t_char,none_val),this,hAPP_val_option_val(some_val,addr(A))),Pns,Vs_1)
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Body,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_2),L_2_1)),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_3),L_3)))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,call_list_char(Eb,M,Ps),S_0),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_3),L_2))) ) ) ) ) ) ) ) ).
fof(fact_1181_red__reds_ORedCall,axiom,
! [Vs_1,Pa,M,Ts,Ta,Pns,Body,Da,S,A,C,Fs] :
( hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs))
=> ( hBOOL(hAPP_list_char_bool(method1809630380t_char(Pa,C,M,Ts,Ta,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Pns),Body)),Da))
=> ( size_size_list_val(Vs_1) = size_s2113983095t_char(Pns)
=> ( size_size_list_ty(Ts) = 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)),M,hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vs_1))),S)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,cons_list_char(this,Pns)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,cons_ty(hAPP_list_char_ty(class,Da),Ts)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,cons_val(addr(A),Vs_1)),Body))))),S)),red(Pa))) ) ) ) ) ).
fof(fact_1182_redp__redsp_ORedCall,axiom,
! [Vs_1,Pa,M,Ts,Ta,Pns,Body,Da,S,A,C,Fs] :
( hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),Fs))
=> ( hBOOL(hAPP_list_char_bool(method1809630380t_char(Pa,C,M,Ts,Ta,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Pns),Body)),Da))
=> ( size_size_list_val(Vs_1) = size_s2113983095t_char(Pns)
=> ( size_size_list_ty(Ts) = size_s2113983095t_char(Pns)
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,call_list_char(hAPP_v834067052t_char(val_list_char,addr(A)),M,hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vs_1)),S),blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,cons_list_char(this,Pns)),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,cons_ty(hAPP_list_char_ty(class,Da),Ts)),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,cons_val(addr(A),Vs_1)),Body))))),S)) ) ) ) ) ).
fof(fact_1183_WTrts__same__length,axiom,
! [Pa,Hb,Ea,Esa,Ts] :
( hBOOL(wTrts_1(Pa,Hb,Ea,Esa,Ts))
=> size_s1143674878t_char(Esa) = size_size_list_ty(Ts) ) ).
fof(fact_1184_blocksFinal,axiom,
! [Hb,Lb,Pa,Eb,Vs_1,Vs,Ts] :
( size_s2113983095t_char(Vs) = size_size_list_ty(Ts)
=> ( size_size_list_val(Vs_1) = size_size_list_ty(Ts)
=> ( hBOOL(final_list_char(Eb))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Vs),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Ts),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Vs_1),Eb))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),transi2024712006on_val(red(Pa)))) ) ) ) ).
fof(fact_1185_blocksEval,axiom,
! [Pa,Eb,Hb,Lb,E_b,H_b,L_b,Vs_1,Ps,Ts] :
( size_s2113983095t_char(Ps) = size_size_list_ty(Ts)
=> ( size_s2113983095t_char(Ps) = size_size_list_val(Vs_1)
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Ps),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Ts),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Vs_1),Eb)))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb)),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b)))
=> ? [L_1] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Eb,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),map_up1085636310ar_val(Lb,Ps,Vs_1))),E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_1))) ) ) ) ).
fof(fact_1186_wt__blocks,axiom,
! [Pa,Hb,Ea,Eb,Ta,Vs_1,Vs,Ts] :
( size_s2113983095t_char(Vs) = size_size_list_ty(Ts)
=> ( size_size_list_val(Vs_1) = size_size_list_ty(Ts)
=> ( hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Vs),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Ts),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Vs_1),Eb))))),Ta))
<=> ( hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,map_up891053837har_ty(Ea,Vs,Ts),Eb),Ta))
& ? [Ts_2] :
( hAPP_l2006940821ion_ty(map_val_option_ty(typeof_h(Hb)),Vs_1) = hAPP_l1487035934ion_ty(map_ty_option_ty(some_ty),Ts_2)
& hBOOL(list_all2_ty_ty(widen_2090681816t_char(Pa),Ts_2,Ts)) ) ) ) ) ) ).
fof(fact_1187_WTrtCall,axiom,
! [Esa,Ts_1,M,Ts,Ta,Pns,Body,Da,Pa,Hb,Ea,Eb,C] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,Eb),hAPP_list_char_ty(class,C)))
=> ( hBOOL(hAPP_list_char_bool(method1809630380t_char(Pa,C,M,Ts,Ta,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Pns),Body)),Da))
=> ( hBOOL(wTrts_1(Pa,Hb,Ea,Esa,Ts_1))
=> ( hBOOL(list_all2_ty_ty(widen_2090681816t_char(Pa),Ts_1,Ts))
=> hBOOL(hAPP_ty_bool(wTrt(Pa,Hb,Ea,call_list_char(Eb,M,Esa)),Ta)) ) ) ) ) ).
fof(fact_1188_WTrt_H__WTrts_H_Ointros_I12_J,axiom,
! [Esa,Ts_1,M,Ts,Ta,Pns,Body,Da,Pa,Hb,Ea,Eb,C] :
( hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,Eb),hAPP_list_char_ty(class,C)))
=> ( hBOOL(hAPP_list_char_bool(method1809630380t_char(Pa,C,M,Ts,Ta,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,Pns),Body)),Da))
=> ( hBOOL(wTrts(Pa,Hb,Ea,Esa,Ts_1))
=> ( hBOOL(list_all2_ty_ty(widen_2090681816t_char(Pa),Ts_1,Ts))
=> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,call_list_char(Eb,M,Esa)),Ta)) ) ) ) ) ).
fof(fact_1189_wts_H__iff__wts,axiom,
! [Pa,Hb,Ea,Esa,Ts] :
( hBOOL(wTrts(Pa,Hb,Ea,Esa,Ts))
<=> hBOOL(wTrts_1(Pa,Hb,Ea,Esa,Ts)) ) ).
fof(fact_1190_wts_H__wts,axiom,
! [Pa,Hb,Ea,Esa,Ts] :
( hBOOL(wTrts(Pa,Hb,Ea,Esa,Ts))
=> hBOOL(wTrts_1(Pa,Hb,Ea,Esa,Ts)) ) ).
fof(fact_1191_wts__wts_H,axiom,
! [Pa,Hb,Ea,Esa,Ts] :
( hBOOL(wTrts_1(Pa,Hb,Ea,Esa,Ts))
=> hBOOL(wTrts(Pa,Hb,Ea,Esa,Ts)) ) ).
fof(fact_1192_WTrt_H__WTrts_H_Ointros_I13_J,axiom,
! [M,Ta,Esa,Ts,Pa,Hb,Ea,Eb] :
( hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,Eb),nt))
=> ( hBOOL(wTrts(Pa,Hb,Ea,Esa,Ts))
=> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,call_list_char(Eb,M,Esa)),Ta)) ) ) ).
fof(fact_1193_WTrt_H__WTrts_H_Ointros_I15_J,axiom,
! [Esa,Ts,Pa,Hb,Ea,Eb,Ta] :
( hBOOL(hAPP_ty_bool(wTrt_1(Pa,Hb,Ea,Eb),Ta))
=> ( hBOOL(wTrts(Pa,Hb,Ea,Esa,Ts))
=> hBOOL(wTrts(Pa,Hb,Ea,cons_exp_list_char(Eb,Esa),cons_ty(Ta,Ts))) ) ) ).
fof(fact_1194_blocksRedsFinal,axiom,
! [L,Eb,Hb,Lb,E_b,H_b,L_b,Pa,Vs_1,Vs,Ts] :
( size_s2113983095t_char(Vs) = size_size_list_ty(Ts)
=> ( size_size_list_val(Vs_1) = size_size_list_ty(Ts)
=> ( hBOOL(distinct_list_char(Vs))
=> ( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),map_up1085636310ar_val(Lb,Vs,Vs_1)))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))),transi2024712006on_val(red(Pa))))
=> ( hBOOL(final_list_char(E_b))
=> ( L = overri2012515291on_val(L_b,Lb,set_list_char(Vs))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Vs),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Ts),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Vs_1),Eb))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L))),transi2024712006on_val(red(Pa)))) ) ) ) ) ) ) ).
fof(fact_1195_blocksReds,axiom,
! [Eb,Hb,Lb,E_b,H_b,L_b,Pa,Vs_1,Vs,Ts] :
( size_s2113983095t_char(Vs) = size_size_list_ty(Ts)
=> ( size_size_list_val(Vs_1) = size_size_list_ty(Ts)
=> ( hBOOL(distinct_list_char(Vs))
=> ( hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,Eb),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),map_up1085636310ar_val(Lb,Vs,Vs_1)))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,E_b),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),L_b))),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Vs),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Ts),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,Vs_1),Eb))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,Hb),Lb))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,blocks(hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,Vs),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,Ts),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,hAPP_l1892737211st_val(map_list_char_val(comp_o1129292306t_char(the_val,L_b)),Vs)),E_b))))),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,H_b),overri2012515291on_val(L_b,Lb,set_list_char(Vs))))),transi2024712006on_val(red(Pa)))) ) ) ) ) ).
fof(fact_1196_init__fields__def,axiom,
init_fields = comp_l424027617har_ty(map_of1247784410ar_val,map_Pr1153581243ar_val(hAPP_f1295640803ar_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_1197_obj__ty__def,axiom,
! [Obj] : obj_ty(Obj) = hAPP_list_char_ty(class,hAPP_P1789965269t_char(produc1230355531on_val,Obj)) ).
fof(fact_1198_cname__of__xcp,axiom,
! [C,Hb] :
( hBOOL(preallocated(Hb))
=> ( hBOOL(member_list_char(C,sys_xcpts))
=> hAPP_P1789965269t_char(produc1230355531on_val,hAPP_o1977518472on_val(the_Pr431167171on_val,hAPP_n546249108on_val(Hb,addr_of_sys_xcpt(C)))) = C ) ) ).
fof(fact_1199_hp__def,axiom,
hp = produc1517998010on_val ).
%----Helper facts (87)
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__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__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J,axiom,
! [P,Q,R] : hAPP_ty_bool(hAPP_f457123984y_bool(hAPP_f1391360361y_bool(cOMBB_1881684336ool_ty,P),Q),R) = hAPP_P1070896250l_bool(P,hAPP_t97533526ar_val(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_COMBB_1_1_COMBB_000tc__prod_Itc__Value__Oval_Mtc__Value__Oval_J_000tc__HOL_,axiom,
! [P,Q,R] : hAPP_f1033709212l_bool(hAPP_f1935223905l_bool(hAPP_f1589017327l_bool(cOMBB_558176806on_val,P),Q),R) = hAPP_P929938951l_bool(P,hAPP_f1181212006al_val(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Type,axiom,
! [P,Q,R] : hAPP_f1033709212l_bool(hAPP_f1189972950l_bool(hAPP_f86617653l_bool(cOMBB_165135181on_val,P),Q),R) = hAPP_P748443392y_bool(P,hAPP_f1746527929har_ty(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_COMBB_1_1_COMBB_000tc__prod_Itc__Expr__Obop_Mtc__prod_Itc__Value__Oval_Mtc_,axiom,
! [P,Q,R] : hAPP_f1033709212l_bool(hAPP_f2061154754l_bool(hAPP_f1777594159l_bool(cOMBB_448128005on_val,P),Q),R) = hAPP_P943837928l_bool(P,hAPP_f384373191al_val(Q,R)) ).
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_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List,axiom,
! [P,Q,R] : hAPP_f1033709212l_bool(hAPP_f1326058377l_bool(hAPP_f1804599279l_bool(cOMBB_678146046on_val,P),Q),R) = hAPP_P449474095r_bool(P,hAPP_f338074126t_char(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mtc__Expr__,axiom,
! [P,Q,R] : hAPP_f1033709212l_bool(hAPP_f1468279871l_bool(hAPP_f737797743l_bool(cOMBB_1733006024on_val,P),Q),R) = hAPP_P2118621157r_bool(P,hAPP_f1555843780t_char(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_018,axiom,
! [P,Q,R] : hAPP_f1033709212l_bool(hAPP_f1787894864l_bool(hAPP_f975490601l_bool(cOMBB_844549459on_val,P),Q),R) = hAPP_P1070896250l_bool(P,hAPP_f901144627ar_val(Q,R)) ).
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__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__,axiom,
! [P,Q,R] : hAPP_f1033709212l_bool(hAPP_f1390791157l_bool(hAPP_f99607667l_bool(cOMBB_1334418926on_val,P),Q),R) = hAPP_P2014166431r_bool(P,hAPP_f1953285592t_char(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod,axiom,
! [P,Q,R] : hAPP_t97533526ar_val(hAPP_f500340936ar_val(hAPP_f1675912277ar_val(cOMBB_351318850val_ty,P),Q),R) = hAPP_P532450504ar_val(P,hAPP_t931865635har_ty(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_019,axiom,
! [P,Q,R] : hAPP_t97533526ar_val(hAPP_f151191262ar_val(hAPP_f1061710805ar_val(cOMBB_239784108val_ty,P),Q),R) = hAPP_P841862366ar_val(P,hAPP_t708040077har_ty(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_020,axiom,
! [P,Q,R] : hAPP_t931865635har_ty(hAPP_f1734435490har_ty(hAPP_f393578581har_ty(cOMBB_1320677736_ty_ty,P),Q),R) = hAPP_P1409535266har_ty(P,hAPP_t97533526ar_val(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__prod_Itc,axiom,
! [P,Q,R] : hAPP_f1033709212l_bool(hAPP_f1645102644l_bool(hAPP_f962366127l_bool(cOMBB_95569939on_val,P),Q),R) = hAPP_P1907982426r_bool(P,hAPP_f1911830329t_char(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__Option__Ooption_Itc__Type__Oty_J_000tc__fun_Itc__fun,axiom,
! [P,Q,R] : hAPP_l2000496933ion_ty(hAPP_f451501457ion_ty(hAPP_f509342689ion_ty(cOMBB_352765746t_char,P),Q),R) = hAPP_o534509643ion_ty(P,hAPP_l512744617ion_ty(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__Type__Oty_Mtc__prod_Itc__prod_Itc__List__Ol,axiom,
! [P,Q,R] : hAPP_P1845004857y_bool(hAPP_f1796274104y_bool(hAPP_f1589954605y_bool(cOMBB_1380239526t_char,P),Q),R) = hAPP_f457123984y_bool(P,hAPP_P221287148ar_val(Q,R)) ).
fof(help_COMBC_1_1_COMBC_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List,axiom,
! [P,Q,R] : hAPP_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__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fun_,axiom,
! [P,Q,R] : hAPP_f1033709212l_bool(hAPP_f1937467848l_bool(hAPP_f2020099865l_bool(cOMBB_1543649755on_val,P),Q),R) = hAPP_P1235399154l_bool(P,hAPP_f2106552235on_val(Q,R)) ).
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__Type__Oty_Mtc__prod_Itc__prod_Itc__List__Ol_021,axiom,
! [P,Q,R] : hAPP_l1836284219ar_val(hAPP_f1286352408ar_val(hAPP_f922986761ar_val(cOMBB_491542469t_char,P),Q),R) = hAPP_f151191262ar_val(P,hAPP_l826728946har_ty(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String___022,axiom,
! [P,Q,R] : hAPP_f1033709212l_bool(hAPP_f1212990632l_bool(hAPP_f764883801l_bool(cOMBB_1837440507on_val,P),Q),R) = hAPP_P92196306r_bool(P,hAPP_f848628235t_char(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fun__023,axiom,
! [P,Q,R] : hAPP_f652398900ion_ty(hAPP_f2110071953ion_ty(hAPP_f69964139ion_ty(cOMBB_2041093409on_val,P),Q),R) = hAPP_P1228500987ion_ty(P,hAPP_f900686428on_val(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__Type__Oty_Mtc__prod_Itc__List__Olist_Itc__S,axiom,
! [P,Q,R] : hAPP_P221287148ar_val(hAPP_f1582750480ar_val(hAPP_f1761801623ar_val(cOMBB_510504510t_char,P),Q),R) = hAPP_f500340936ar_val(P,hAPP_P901867449har_ty(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__Type__Oty_Mtc__prod_Itc__prod_Itc__List__Ol_024,axiom,
! [P,Q,R] : hAPP_P221287148ar_val(hAPP_f2096521338ar_val(hAPP_f1210767211ar_val(cOMBB_1905001812t_char,P),Q),R) = hAPP_f151191262ar_val(P,hAPP_P827589667har_ty(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__Type__Oty_Mtc__prod_Itc__prod_Itc__List__Ol_025,axiom,
! [P,Q,R] : hAPP_P901867449har_ty(hAPP_f1820012432har_ty(hAPP_f1720458941har_ty(cOMBB_424865560t_char,P),Q),R) = hAPP_f1734435490har_ty(P,hAPP_P221287148ar_val(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_It,axiom,
! [P,Q,R] : hAPP_P929938951l_bool(hAPP_f497008323l_bool(hAPP_f1936466825l_bool(cOMBB_840638159al_val,P),Q),R) = hAPP_P159683425l_bool(P,hAPP_P147338735on_val(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_It_026,axiom,
! [P,Q,R] : hAPP_e544220455r_bool(hAPP_f716957699r_bool(hAPP_f106757449r_bool(cOMBB_1539035119t_char,P),Q),R) = hAPP_P159683425l_bool(P,hAPP_e1410803407on_val(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_COMBB_1_1_COMBB_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_It_027,axiom,
! [P,Q,R] : hAPP_f1033709212l_bool(hAPP_f1008932791l_bool(hAPP_f2057883639l_bool(cOMBB_1750801836on_val,P),Q),R) = hAPP_P159683425l_bool(P,hAPP_f1727192346on_val(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_It_028,axiom,
! [P,Q,R] : hAPP_P2118621157r_bool(hAPP_f1915623807r_bool(hAPP_f1346522053r_bool(cOMBB_1115744685t_char,P),Q),R) = hAPP_P159683425l_bool(P,hAPP_P214139537on_val(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__prod_Itc__List__Olist_Itc,axiom,
! [P,Q,R] : hAPP_f1033709212l_bool(hAPP_f1474698986l_bool(hAPP_f1809473245l_bool(cOMBB_1452070457on_val,P),Q),R) = hAPP_P828904212r_bool(P,hAPP_f268764237t_char(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M,axiom,
! [P,Q,R] : hAPP_f1175813647l_bool(hAPP_f555424277l_bool(hAPP_f1734879897l_bool(cOMBB_1522540928on_val,P),Q),R) = hAPP_f1074020887l_bool(P,hAPP_f1175813647l_bool(Q,R)) ).
fof(help_COMBS_1_1_COMBS_000tc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_It,axiom,
! [P,Q,R] : hAPP_f1175813647l_bool(cOMBS_570216337l_bool(P,Q),R) = hAPP_f1074020887l_bool(hAPP_f1492320500l_bool(P,R),hAPP_f1175813647l_bool(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Value__Oval_Mtc__Value__Oval_J_Mt,axiom,
! [P,Q,R] : hAPP_b97269396l_bool(hAPP_f1150574413l_bool(hAPP_f295212021l_bool(cOMBB_1150072860ol_bop,P),Q),R) = hAPP_f497008323l_bool(P,hAPP_b420404024on_val(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_029,axiom,
! [P,Q,R] : hAPP_f1175813647l_bool(hAPP_f1153851723l_bool(hAPP_f151189509l_bool(cOMBB_223841226on_val,P),Q),R) = hAPP_f1935223905l_bool(P,hAPP_f1695781849al_val(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_It_030,axiom,
! [P,Q,R] : hAPP_P1907982426r_bool(hAPP_f1957179113r_bool(hAPP_f1096084527r_bool(cOMBB_1980206754t_char,P),Q),R) = hAPP_P159683425l_bool(P,hAPP_P216502748on_val(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__O,axiom,
! [P,Q,R] : hAPP_f1033709212l_bool(hAPP_f318082871l_bool(hAPP_f1233687287l_bool(cOMBB_171276332on_val,P),Q),R) = hAPP_P1708370145l_bool(P,hAPP_f1926378906on_val(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_031,axiom,
! [P,Q,R] : hAPP_f1033709212l_bool(hAPP_f679593521l_bool(hAPP_f2114578667l_bool(cOMBB_914590898on_val,P),Q),R) = hAPP_P659547099r_bool(P,hAPP_f596349460t_char(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_032,axiom,
! [P,Q,R] : hAPP_f1175813647l_bool(hAPP_f1617838686l_bool(hAPP_f1740025881l_bool(cOMBB_1511810527on_val,P),Q),R) = hAPP_f1189972950l_bool(P,hAPP_f993605148har_ty(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__Expr__Oexp_Itc__List__Olist_Itc__String__Oc,axiom,
! [P,Q,R] : hAPP_l1062423959r_bool(hAPP_f1339377933r_bool(hAPP_f1165187701r_bool(cOMBB_1124198201st_val,P),Q),R) = hAPP_f716957699r_bool(P,hAPP_l1870161525on_val(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_033,axiom,
! [P,Q,R] : hAPP_f1175813647l_bool(hAPP_f828778154l_bool(hAPP_f1572306499l_bool(cOMBB_1210977579on_val,P),Q),R) = hAPP_f2061154754l_bool(P,hAPP_f1779904442al_val(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__Oli,axiom,
! [P,Q,R] : hAPP_f1033709212l_bool(hAPP_f502623122l_bool(hAPP_f1000925999l_bool(cOMBB_1466435125on_val,P),Q),R) = hAPP_P71593144l_bool(P,hAPP_f637291415on_val(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_034,axiom,
! [P,Q,R] : hAPP_f1175813647l_bool(hAPP_f1996106275l_bool(hAPP_f1550515381l_bool(cOMBB_2040779506on_val,P),Q),R) = hAPP_f1326058377l_bool(P,hAPP_f1628326017t_char(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_035,axiom,
! [P,Q,R] : hAPP_f1175813647l_bool(hAPP_f1576637933l_bool(hAPP_f154583625l_bool(cOMBB_335252392on_val,P),Q),R) = hAPP_f1468279871l_bool(P,hAPP_f1297079863t_char(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__prod_Itc__List__Olist_Itc__String_,axiom,
! [P,Q,R] : hAPP_l2000496933ion_ty(hAPP_f802560783ion_ty(hAPP_f7643013ion_ty(cOMBB_864319000t_char,P),Q),R) = hAPP_f2110071953ion_ty(P,hAPP_l1786340417on_val(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_036,axiom,
! [P,Q,R] : hAPP_f1033709212l_bool(hAPP_f802970616l_bool(hAPP_f1566130425l_bool(cOMBB_247395499on_val,P),Q),R) = hAPP_P1680401186r_bool(P,hAPP_f1032572507t_char(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_037,axiom,
! [P,Q,R] : hAPP_f1175813647l_bool(hAPP_f1812276580l_bool(hAPP_f1292837529l_bool(cOMBB_238112345on_val,P),Q),R) = hAPP_f1787894864l_bool(P,hAPP_f1925626518ar_val(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_038,axiom,
! [P,Q,R] : hAPP_f1175813647l_bool(hAPP_f1351102847l_bool(hAPP_f1342439769l_bool(cOMBB_225914878on_val,P),Q),R) = hAPP_f1390791157l_bool(P,hAPP_f1445211579t_char(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_039,axiom,
! [P,Q,R] : hAPP_f1175813647l_bool(hAPP_f1121261496l_bool(hAPP_f1331093087l_bool(cOMBB_1472123293on_val,P),Q),R) = hAPP_f1645102644l_bool(P,hAPP_f157410348t_char(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mt,axiom,
! [P,Q,R] : hAPP_l1987619678r_bool(hAPP_f1944156365r_bool(hAPP_f918235057r_bool(cOMBB_1843549548ist_ty,P),Q),R) = hAPP_f1915623807r_bool(P,hAPP_l1004879342on_val(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_040,axiom,
! [P,Q,R] : hAPP_f1175813647l_bool(hAPP_f1145600492l_bool(hAPP_f630712985l_bool(cOMBB_1962662865on_val,P),Q),R) = hAPP_f1937467848l_bool(P,hAPP_f1614126606on_val(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_041,axiom,
! [P,Q,R] : hAPP_f1617787571l_bool(hAPP_f857351829l_bool(hAPP_f348318673l_bool(cOMBB_1518282696on_val,P),Q),R) = hAPP_f181262431l_bool(P,hAPP_f1213370163y_bool(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_042,axiom,
! [P,Q,R] : hAPP_f1175813647l_bool(hAPP_f1089411340l_bool(hAPP_f2012169497l_bool(cOMBB_1443356337on_val,P),Q),R) = hAPP_f1212990632l_bool(P,hAPP_f78832750t_char(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_It_043,axiom,
! [P,Q,R] : hAPP_P159683425l_bool(hAPP_f1301559543l_bool(hAPP_f1825030711l_bool(cOMBB_877741809on_val,P),Q),R) = hAPP_P159683425l_bool(P,hAPP_P1776198677on_val(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc_,axiom,
! [P,Q,R] : hAPP_l217977712r_bool(hAPP_f829041291r_bool(hAPP_f1691034591r_bool(cOMBB_889837233t_char,P),Q),R) = hAPP_f1957179113r_bool(P,hAPP_l451552092on_val(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_It_044,axiom,
! [P,Q,R] : hAPP_P1708370145l_bool(hAPP_f1712766199l_bool(hAPP_f881985847l_bool(cOMBB_1083177073on_val,P),Q),R) = hAPP_P159683425l_bool(P,hAPP_P789556885on_val(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_It_045,axiom,
! [P,Q,R] : hAPP_P71593144l_bool(hAPP_f1540354981l_bool(hAPP_f2131288811l_bool(cOMBB_1173566976on_val,P),Q),R) = hAPP_P159683425l_bool(P,hAPP_P1892658174on_val(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_046,axiom,
! [P,Q,R] : hAPP_f1175813647l_bool(hAPP_f1363667773l_bool(hAPP_f1050935001l_bool(cOMBB_1153617344on_val,P),Q),R) = hAPP_f1008932791l_bool(P,hAPP_f1849790461on_val(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_047,axiom,
! [P,Q,R] : hAPP_f1175813647l_bool(hAPP_f337607754l_bool(hAPP_f1546157465l_bool(cOMBB_955482355on_val,P),Q),R) = hAPP_f1474698986l_bool(P,hAPP_f371326384t_char(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_048,axiom,
! [P,Q,R] : hAPP_f1175813647l_bool(hAPP_f850751421l_bool(hAPP_f399538905l_bool(cOMBB_1466889536on_val,P),Q),R) = hAPP_f318082871l_bool(P,hAPP_f1840640125on_val(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_049,axiom,
! [P,Q,R] : hAPP_f1175813647l_bool(hAPP_f1525647939l_bool(hAPP_f1338219097l_bool(cOMBB_2122619962on_val,P),Q),R) = hAPP_f679593521l_bool(P,hAPP_f1363205111t_char(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_050,axiom,
! [P,Q,R] : hAPP_f1175813647l_bool(hAPP_f556306650l_bool(hAPP_f1538372259l_bool(cOMBB_157777659on_val,P),Q),R) = hAPP_f502623122l_bool(P,hAPP_f336970122on_val(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_051,axiom,
! [P,Q,R] : hAPP_f1175813647l_bool(hAPP_f1158121916l_bool(hAPP_f527861785l_bool(cOMBB_625124865on_val,P),Q),R) = hAPP_f802970616l_bool(P,hAPP_f1486366910t_char(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc_,axiom,
! [P,Q,R] : hAPP_f1033709212l_bool(hAPP_f524589473l_bool(hAPP_f2052660463l_bool(cOMBB_1292453606on_val,P),Q),R) = hAPP_P282169671l_bool(P,hAPP_f602593190on_val(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc_,axiom,
! [P,Q,R] : hAPP_f1033709212l_bool(hAPP_f1546656185l_bool(hAPP_f28987375l_bool(cOMBB_132741582on_val,P),Q),R) = hAPP_P1333315679l_bool(P,hAPP_f1416324670on_val(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__O,axiom,
! [P,Q,R] : hAPP_e1833980889l_bool(hAPP_f653692369l_bool(hAPP_f516738477l_bool(cOMBB_819439237t_char,P),Q),R) = hAPP_f1301559543l_bool(P,hAPP_e108155315on_val(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__O_052,axiom,
! [P,Q,R] : hAPP_l146377954l_bool(hAPP_f896993613l_bool(hAPP_f219814819l_bool(cOMBB_143000234t_char,P),Q),R) = hAPP_f1301559543l_bool(P,hAPP_l1012006762on_val(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_053,axiom,
! [P,Q,R] : hAPP_f1175813647l_bool(hAPP_f927043595l_bool(hAPP_f1043869573l_bool(cOMBB_1259202826on_val,P),Q),R) = hAPP_f524589473l_bool(P,hAPP_f600512025on_val(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_054,axiom,
! [P,Q,R] : hAPP_f1175813647l_bool(hAPP_f1505175539l_bool(hAPP_f924423253l_bool(cOMBB_1330725154on_val,P),Q),R) = hAPP_f1546656185l_bool(P,hAPP_f865889457on_val(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__,axiom,
! [P,Q,R] : hAPP_P1116729363l_bool(hAPP_f1241216909l_bool(hAPP_f1438732387l_bool(cOMBB_635947099on_val,P),Q),R) = hAPP_f1712766199l_bool(P,hAPP_P2083594489on_val(Q,R)) ).
fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__,axiom,
! [P,Q,R] : hAPP_P1183008383l_bool(hAPP_f1909521165l_bool(hAPP_f1779944471l_bool(cOMBB_607314500on_val,P),Q),R) = hAPP_f1540354981l_bool(P,hAPP_P308812685on_val(Q,R)) ).
%----Conjectures (1)
fof(conj_0,conjecture,
hBOOL(hAPP_ty_bool(wTrt(p,h_a,e,e_a),nt)) ).
%------------------------------------------------------------------------------