TPTP Problem File: SWW475+3.p
View Solutions
- Solve Problem
%------------------------------------------------------------------------------
% File : SWW475+3 : TPTP v8.2.0. Released v5.3.0.
% Domain : Software Verification
% Problem : Java type soundness line 22, 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_l22 [Bla11]
% Status : Theorem
% Rating : 1.00 v5.3.0
% Syntax : Number of formulae : 1300 ( 502 unt; 0 def)
% Number of atoms : 3124 ( 905 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 2506 ( 682 ~; 14 |; 86 &)
% ( 166 <=>;1558 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 7 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 0 prp; 1-2 aty)
% Number of functors : 362 ( 362 usr; 46 con; 0-6 aty)
% Number of variables : 6112 (5987 !; 125 ?)
% SPC : FOF_THM_RFO_SEQ
% Comments : This file was generated by Isabelle (most likely Sledgehammer)
% 2011-08-09 17:19:36
% : Encoded with monomorphized guards.
%------------------------------------------------------------------------------
%----Explicit typings (85)
fof(gsy_c_BigStep_Ofinal_000tc__List__Olist_Itc__String__Ochar_J,axiom,
! [B_1_1] : is_bool(final_list_char(B_1_1)) ).
fof(gsy_c_BigStep_Ofinals_000tc__List__Olist_Itc__String__Ochar_J,axiom,
! [B_1_1] : is_bool(finals_list_char(B_1_1)) ).
fof(gsy_c_Conform_Ohconf_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__,hypothesis,
! [B_1_1,B_2_1] : is_bool(hconf_97414254t_char(B_1_1,B_2_1)) ).
fof(gsy_c_Exceptions_Opreallocated,axiom,
! [B_1_1] : is_bool(preallocated(B_1_1)) ).
fof(gsy_c_Expr_Obop_OAdd,axiom,
is_bop(add) ).
fof(gsy_c_Expr_Obop_OEq,axiom,
is_bop(c_Expr_Obop_OEq) ).
fof(gsy_c_HOL_Oundefined_000tc__Expr__Obop,axiom,
is_bop(undefined_bop(bop)) ).
fof(gsy_c_List_Odistinct_000tc__List__Olist_Itc__String__Ochar_J,axiom,
! [B_1_1] : is_bool(distinct_list_char(B_1_1)) ).
fof(gsy_c_List_Olist__all2_000tc__Type__Oty_000tc__Type__Oty,axiom,
! [B_1_1,B_2_1,B_3_1] : is_bool(list_all2_ty_ty(B_1_1,B_2_1,B_3_1)) ).
fof(gsy_c_Objects_Ohext,axiom,
! [B_1_1,B_2_1] : is_bool(hext(B_1_1,B_2_1)) ).
fof(gsy_c_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_1(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(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__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__Nat__Onat_000tc__HOL__Obool,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_nat_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__Type__Oty_000tc__HOL__Obool,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_f1033709212l_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__001,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P92196306r_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__List__Olist_It,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P449474095r_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Type__Oty_J_00,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P748443392y_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fun_Itc__prod_,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P1235399154l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__prod_Itc__List,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P831231943y_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__prod_Itc__List__Ol,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P1907982426r_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mtc__Expr__Oexp_Itc__,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P2118621157r_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__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___002,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_003,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P2010574925r_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fun_,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P124632071l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__prod_Itc,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P1240100515r_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mtc__Expr__,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P1183499705r_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__Value__Oval_Mtc__Value__Oval_J_Mtc__prod_I,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P2123002749l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_It,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P1221872711l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc_,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P378063101l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc_,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_P2028072621l_bool(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__List__Olist_Itc__String__Ochar_J,axiom,
! [B_1_1,B_2_1] : is_bool(member_list_char(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__Nat__Onat,axiom,
! [B_1_1,B_2_1] : is_bool(member_nat(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__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__Value__Oval_Mtc__Value__Oval_J,axiom,
! [B_1_1,B_2_1] : is_bool(member649088532al_val(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__prod_Itc__prod_Itc__Expr__Obop_Mtc__prod_Itc__Value__Oval_Mt,axiom,
! [B_1_1,B_2_1] : is_bool(member1732271180al_val(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String_,hypothesis,
! [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_004,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_005,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__Ty,axiom,
! [B_1_1,B_2_1] : is_bool(member119266708har_ty(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(member1664419796har_ty(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__prod_I,axiom,
! [B_1_1,B_2_1] : is_bool(member125098544t_char(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mtc__Expr,axiom,
! [B_1_1,B_2_1] : is_bool(member1161907014t_char(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__prod_Itc__prod_Itc__Value__Oval_Mtc__Value__Oval_J_Mtc__prod,axiom,
! [B_1_1,B_2_1] : is_bool(member837208074al_val(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__prod_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_,axiom,
! [B_1_1,B_2_1] : is_bool(member563141460on_val(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__prod_Itc__prod_Itc__prod_Itc__Expr__Obop_Mtc__prod_Itc__Valu,axiom,
! [B_1_1,B_2_1] : is_bool(member23198458al_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__List__Olist_I,axiom,
! [B_1_1,B_2_1] : is_bool(member902595210t_char(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__List__Olist_I_006,axiom,
! [B_1_1,B_2_1] : is_bool(member1934728458t_char(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(member1986596692har_ty(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_007,axiom,
! [B_1_1,B_2_1] : is_bool(member1689070870t_char(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_008,axiom,
! [B_1_1,B_2_1] : is_bool(member1114719754on_val(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__Type__Oty_J_M,axiom,
! [B_1_1,B_2_1] : is_bool(member371591362t_char(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__Value__Oval_J,axiom,
! [B_1_1,B_2_1] : is_bool(member1105423342t_char(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__prod_Itc__prod_Itc__prod_Itc__Value__Oval_Mtc__Value__Oval_J,axiom,
! [B_1_1,B_2_1] : is_bool(member384848502al_val(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__prod_Itc__prod_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option,axiom,
! [B_1_1,B_2_1] : is_bool(member2032527242on_val(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__prod_Itc__prod_Itc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List,axiom,
! [B_1_1,B_2_1] : is_bool(member712690550on_val(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__prod_Itc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__Exp,axiom,
! [B_1_1,B_2_1] : is_bool(member1837727190on_val(B_1_1,B_2_1)) ).
%----Relevant facts (1200)
fof(fact_0_prod__induct5,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_3,D_1,E_4] : hBOOL(hAPP_P2028072621l_bool(Pa,produc1951691075on_val(A_1,produc1611380469on_val(B_1,produc379668296on_val(C_3,produc899768717on_val(D_1,E_4))))))
=> hBOOL(hAPP_P2028072621l_bool(Pa,X_2)) ) ).
fof(fact_1_prod__induct5,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_3,D_1,E_4] : hBOOL(hAPP_P378063101l_bool(Pa,produc1564932627on_val(A_1,produc1441475159on_val(B_1,produc1259058957on_val(C_3,produc899768717on_val(D_1,E_4))))))
=> hBOOL(hAPP_P378063101l_bool(Pa,X_2)) ) ).
fof(fact_2_prod__induct5,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_3,D_1,E_4] : hBOOL(hAPP_P824029447r_bool(Pa,produc24551831t_char(A_1,produc921874948t_char(B_1,produc1909267824t_char(C_3,produc1916172923t_char(D_1,E_4))))))
=> hBOOL(hAPP_P824029447r_bool(Pa,X_2)) ) ).
fof(fact_3_prod__cases5,axiom,
! [Y_1] :
~ ! [A_1,B_1,C_3,D_1,E_4] : Y_1 != produc1951691075on_val(A_1,produc1611380469on_val(B_1,produc379668296on_val(C_3,produc899768717on_val(D_1,E_4)))) ).
fof(fact_4_prod__cases5,axiom,
! [Y_1] :
~ ! [A_1,B_1,C_3,D_1,E_4] : Y_1 != produc1564932627on_val(A_1,produc1441475159on_val(B_1,produc1259058957on_val(C_3,produc899768717on_val(D_1,E_4)))) ).
fof(fact_5_prod__cases5,axiom,
! [Y_6] :
~ ! [A_1,B_1,C_3,D_1,E_4] : Y_6 != produc24551831t_char(A_1,produc921874948t_char(B_1,produc1909267824t_char(C_3,produc1916172923t_char(D_1,E_4)))) ).
fof(fact_6_prod__induct4,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_3,D_1] : hBOOL(hAPP_P282169671l_bool(Pa,produc1441475159on_val(A_1,produc1259058957on_val(B_1,produc899768717on_val(C_3,D_1)))))
=> hBOOL(hAPP_P282169671l_bool(Pa,X_2)) ) ).
fof(fact_7_prod__induct4,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_3,D_1] : hBOOL(hAPP_P1333315679l_bool(Pa,produc1611380469on_val(A_1,produc379668296on_val(B_1,produc899768717on_val(C_3,D_1)))))
=> hBOOL(hAPP_P1333315679l_bool(Pa,X_2)) ) ).
fof(fact_8_prod__induct4,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_3,D_1] : hBOOL(hAPP_P92196306r_bool(Pa,produc921874948t_char(A_1,produc1909267824t_char(B_1,produc1916172923t_char(C_3,D_1)))))
=> hBOOL(hAPP_P92196306r_bool(Pa,X_2)) ) ).
fof(fact_9_prod__induct4,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_3,D_1] : hBOOL(hAPP_P378063101l_bool(Pa,produc1564932627on_val(A_1,produc1441475159on_val(B_1,produc1259058957on_val(C_3,D_1)))))
=> hBOOL(hAPP_P378063101l_bool(Pa,X_2)) ) ).
fof(fact_10_prod__induct4,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_3,D_1] : hBOOL(hAPP_P2028072621l_bool(Pa,produc1951691075on_val(A_1,produc1611380469on_val(B_1,produc379668296on_val(C_3,D_1)))))
=> hBOOL(hAPP_P2028072621l_bool(Pa,X_2)) ) ).
fof(fact_11_prod__induct4,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_3,D_1] : hBOOL(hAPP_P824029447r_bool(Pa,produc24551831t_char(A_1,produc921874948t_char(B_1,produc1909267824t_char(C_3,D_1)))))
=> hBOOL(hAPP_P824029447r_bool(Pa,X_2)) ) ).
fof(fact_12_prod__induct4,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_3,D_1] : hBOOL(hAPP_P1240100515r_bool(Pa,produc57279289t_char(A_1,produc1909267824t_char(B_1,produc1916172923t_char(C_3,D_1)))))
=> hBOOL(hAPP_P1240100515r_bool(Pa,X_2)) ) ).
fof(fact_13_prod__induct4,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_3,D_1] :
( is_bop(B_1)
=> hBOOL(hAPP_P738987199l_bool(Pa,produc1924279125al_val(A_1,produc621191550al_val(B_1,product_Pair_val_val(C_3,D_1))))) )
=> hBOOL(hAPP_P738987199l_bool(Pa,X_2)) ) ).
fof(fact_14_prod__cases4,axiom,
! [Y_1] :
~ ! [A_1,B_1,C_3,D_1] : Y_1 != produc1441475159on_val(A_1,produc1259058957on_val(B_1,produc899768717on_val(C_3,D_1))) ).
fof(fact_15_prod__cases4,axiom,
! [Y_1] :
~ ! [A_1,B_1,C_3,D_1] : Y_1 != produc1611380469on_val(A_1,produc379668296on_val(B_1,produc899768717on_val(C_3,D_1))) ).
fof(fact_16_prod__cases4,axiom,
! [Y_5] :
~ ! [A_1,B_1,C_3,D_1] : Y_5 != produc921874948t_char(A_1,produc1909267824t_char(B_1,produc1916172923t_char(C_3,D_1))) ).
fof(fact_17_prod__cases4,axiom,
! [Y_1] :
~ ! [A_1,B_1,C_3,D_1] : Y_1 != produc1564932627on_val(A_1,produc1441475159on_val(B_1,produc1259058957on_val(C_3,D_1))) ).
fof(fact_18_prod__cases4,axiom,
! [Y_1] :
~ ! [A_1,B_1,C_3,D_1] : Y_1 != produc1951691075on_val(A_1,produc1611380469on_val(B_1,produc379668296on_val(C_3,D_1))) ).
fof(fact_19_prod__cases4,axiom,
! [Y_5] :
~ ! [A_1,B_1,C_3,D_1] : Y_5 != produc24551831t_char(A_1,produc921874948t_char(B_1,produc1909267824t_char(C_3,D_1))) ).
fof(fact_20_prod__cases4,axiom,
! [Y_5] :
~ ! [A_1,B_1,C_3,D_1] : Y_5 != produc57279289t_char(A_1,produc1909267824t_char(B_1,produc1916172923t_char(C_3,D_1))) ).
fof(fact_21_prod__cases4,axiom,
! [Y_5] :
~ ! [A_1,B_1,C_3,D_1] :
( is_bop(B_1)
=> Y_5 != produc1924279125al_val(A_1,produc621191550al_val(B_1,product_Pair_val_val(C_3,D_1))) ) ).
fof(fact_22_red__hext__incr,axiom,
! [Ea,Ha,La,E_a,H_a,L_a,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,produc899768717on_val(Ha,La)),produc1259058957on_val(E_a,produc899768717on_val(H_a,L_a))),red(Pa)))
=> hBOOL(hext(Ha,H_a)) ) ).
fof(fact_23_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_3] : hBOOL(hAPP_P831231943y_bool(Pa,produc1002914035har_ty(A_1,produc251930284har_ty(B_1,C_3))))
=> hBOOL(hAPP_P831231943y_bool(Pa,X_2)) ) ).
fof(fact_24_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_3] : hBOOL(hAPP_P282169671l_bool(Pa,produc1441475159on_val(A_1,produc1259058957on_val(B_1,C_3))))
=> hBOOL(hAPP_P282169671l_bool(Pa,X_2)) ) ).
fof(fact_25_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_3] : hBOOL(hAPP_P1708370145l_bool(Pa,produc1259058957on_val(A_1,produc899768717on_val(B_1,C_3))))
=> hBOOL(hAPP_P1708370145l_bool(Pa,X_2)) ) ).
fof(fact_26_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_3] : hBOOL(hAPP_P1333315679l_bool(Pa,produc1611380469on_val(A_1,produc379668296on_val(B_1,C_3))))
=> hBOOL(hAPP_P1333315679l_bool(Pa,X_2)) ) ).
fof(fact_27_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_3] : hBOOL(hAPP_P71593144l_bool(Pa,produc379668296on_val(A_1,produc899768717on_val(B_1,C_3))))
=> hBOOL(hAPP_P71593144l_bool(Pa,X_2)) ) ).
fof(fact_28_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_3] : hBOOL(hAPP_P92196306r_bool(Pa,produc921874948t_char(A_1,produc1909267824t_char(B_1,C_3))))
=> hBOOL(hAPP_P92196306r_bool(Pa,X_2)) ) ).
fof(fact_29_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_3] : hBOOL(hAPP_P1907982426r_bool(Pa,produc1909267824t_char(A_1,produc1916172923t_char(B_1,C_3))))
=> hBOOL(hAPP_P1907982426r_bool(Pa,X_2)) ) ).
fof(fact_30_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_3] :
( is_bop(A_1)
=> hBOOL(hAPP_P943837928l_bool(Pa,produc621191550al_val(A_1,product_Pair_val_val(B_1,C_3)))) )
=> hBOOL(hAPP_P943837928l_bool(Pa,X_2)) ) ).
fof(fact_31_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_3] : hBOOL(hAPP_P378063101l_bool(Pa,produc1564932627on_val(A_1,produc1441475159on_val(B_1,C_3))))
=> hBOOL(hAPP_P378063101l_bool(Pa,X_2)) ) ).
fof(fact_32_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_3] : hBOOL(hAPP_P1221872711l_bool(Pa,produc870913623on_val(A_1,produc899768717on_val(B_1,C_3))))
=> hBOOL(hAPP_P1221872711l_bool(Pa,X_2)) ) ).
fof(fact_33_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_3] : hBOOL(hAPP_P2028072621l_bool(Pa,produc1951691075on_val(A_1,produc1611380469on_val(B_1,C_3))))
=> hBOOL(hAPP_P2028072621l_bool(Pa,X_2)) ) ).
fof(fact_34_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_3] : hBOOL(hAPP_P824029447r_bool(Pa,produc24551831t_char(A_1,produc921874948t_char(B_1,C_3))))
=> hBOOL(hAPP_P824029447r_bool(Pa,X_2)) ) ).
fof(fact_35_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_3] : hBOOL(hAPP_P1240100515r_bool(Pa,produc57279289t_char(A_1,produc1909267824t_char(B_1,C_3))))
=> hBOOL(hAPP_P1240100515r_bool(Pa,X_2)) ) ).
fof(fact_36_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_3] : hBOOL(hAPP_P1183499705r_bool(Pa,produc1299387215t_char(A_1,produc1916172923t_char(B_1,C_3))))
=> hBOOL(hAPP_P1183499705r_bool(Pa,X_2)) ) ).
fof(fact_37_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_3] :
( is_bop(B_1)
=> hBOOL(hAPP_P738987199l_bool(Pa,produc1924279125al_val(A_1,produc621191550al_val(B_1,C_3)))) )
=> hBOOL(hAPP_P738987199l_bool(Pa,X_2)) ) ).
fof(fact_38_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_3] : hBOOL(hAPP_P2123002749l_bool(Pa,produc1244920211al_val(A_1,product_Pair_val_val(B_1,C_3))))
=> hBOOL(hAPP_P2123002749l_bool(Pa,X_2)) ) ).
fof(fact_39_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_3] : hBOOL(hAPP_P124632071l_bool(Pa,produc499151895on_val(A_1,produc823076510on_val(B_1,C_3))))
=> hBOOL(hAPP_P124632071l_bool(Pa,X_2)) ) ).
fof(fact_40_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_3] : hBOOL(hAPP_P2010574925r_bool(Pa,produc2080520419t_char(A_1,produc5062597t_char(B_1,C_3))))
=> hBOOL(hAPP_P2010574925r_bool(Pa,X_2)) ) ).
fof(fact_41_prod__induct3,axiom,
! [X_2,Pa] :
( ! [A_1,B_1,C_3] : hBOOL(hAPP_P1002912327r_bool(Pa,produc1897818327t_char(A_1,produc1147572817t_char(B_1,C_3))))
=> hBOOL(hAPP_P1002912327r_bool(Pa,X_2)) ) ).
fof(fact_42_prod__cases3,axiom,
! [Y_4] :
~ ! [A_1,B_1,C_3] : Y_4 != produc1002914035har_ty(A_1,produc251930284har_ty(B_1,C_3)) ).
fof(fact_43_prod__cases3,axiom,
! [Y_1] :
~ ! [A_1,B_1,C_3] : Y_1 != produc1441475159on_val(A_1,produc1259058957on_val(B_1,C_3)) ).
fof(fact_44_prod__cases3,axiom,
! [Y_1] :
~ ! [A_1,B_1,C_3] : Y_1 != produc1259058957on_val(A_1,produc899768717on_val(B_1,C_3)) ).
fof(fact_45_prod__cases3,axiom,
! [Y_1] :
~ ! [A_1,B_1,C_3] : Y_1 != produc1611380469on_val(A_1,produc379668296on_val(B_1,C_3)) ).
fof(fact_46_prod__cases3,axiom,
! [Y_1] :
~ ! [A_1,B_1,C_3] : Y_1 != produc379668296on_val(A_1,produc899768717on_val(B_1,C_3)) ).
fof(fact_47_prod__cases3,axiom,
! [Y_4] :
~ ! [A_1,B_1,C_3] : Y_4 != produc921874948t_char(A_1,produc1909267824t_char(B_1,C_3)) ).
fof(fact_48_prod__cases3,axiom,
! [Y_4] :
~ ! [A_1,B_1,C_3] : Y_4 != produc1909267824t_char(A_1,produc1916172923t_char(B_1,C_3)) ).
fof(fact_49_prod__cases3,axiom,
! [Y_4] :
~ ! [A_1,B_1,C_3] :
( is_bop(A_1)
=> Y_4 != produc621191550al_val(A_1,product_Pair_val_val(B_1,C_3)) ) ).
fof(fact_50_prod__cases3,axiom,
! [Y_1] :
~ ! [A_1,B_1,C_3] : Y_1 != produc1564932627on_val(A_1,produc1441475159on_val(B_1,C_3)) ).
fof(fact_51_prod__cases3,axiom,
! [Y_1] :
~ ! [A_1,B_1,C_3] : Y_1 != produc870913623on_val(A_1,produc899768717on_val(B_1,C_3)) ).
fof(fact_52_prod__cases3,axiom,
! [Y_1] :
~ ! [A_1,B_1,C_3] : Y_1 != produc1951691075on_val(A_1,produc1611380469on_val(B_1,C_3)) ).
fof(fact_53_prod__cases3,axiom,
! [Y_4] :
~ ! [A_1,B_1,C_3] : Y_4 != produc24551831t_char(A_1,produc921874948t_char(B_1,C_3)) ).
fof(fact_54_prod__cases3,axiom,
! [Y_4] :
~ ! [A_1,B_1,C_3] : Y_4 != produc57279289t_char(A_1,produc1909267824t_char(B_1,C_3)) ).
fof(fact_55_prod__cases3,axiom,
! [Y_4] :
~ ! [A_1,B_1,C_3] : Y_4 != produc1299387215t_char(A_1,produc1916172923t_char(B_1,C_3)) ).
fof(fact_56_prod__cases3,axiom,
! [Y_4] :
~ ! [A_1,B_1,C_3] :
( is_bop(B_1)
=> Y_4 != produc1924279125al_val(A_1,produc621191550al_val(B_1,C_3)) ) ).
fof(fact_57_prod__cases3,axiom,
! [Y_4] :
~ ! [A_1,B_1,C_3] : Y_4 != produc1244920211al_val(A_1,product_Pair_val_val(B_1,C_3)) ).
fof(fact_58_prod__cases3,axiom,
! [Y_1] :
~ ! [A_1,B_1,C_3] : Y_1 != produc499151895on_val(A_1,produc823076510on_val(B_1,C_3)) ).
fof(fact_59_prod__cases3,axiom,
! [Y_4] :
~ ! [A_1,B_1,C_3] : Y_4 != produc2080520419t_char(A_1,produc5062597t_char(B_1,C_3)) ).
fof(fact_60_prod__cases3,axiom,
! [Y_4] :
~ ! [A_1,B_1,C_3] : Y_4 != produc1897818327t_char(A_1,produc1147572817t_char(B_1,C_3)) ).
fof(fact_61_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P831231943y_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P831231943y_bool(Pa,produc1002914035har_ty(A_1,B_1))) ) ).
fof(fact_62_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P27757617y_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P27757617y_bool(Pa,produc1265154397har_ty(A_1,B_1))) ) ).
fof(fact_63_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P748443392y_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P748443392y_bool(Pa,produc251930284har_ty(A_1,B_1))) ) ).
fof(fact_64_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P1002912327r_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P1002912327r_bool(Pa,produc1897818327t_char(A_1,B_1))) ) ).
fof(fact_65_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P2010574925r_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P2010574925r_bool(Pa,produc2080520419t_char(A_1,B_1))) ) ).
fof(fact_66_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P124632071l_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P124632071l_bool(Pa,produc499151895on_val(A_1,B_1))) ) ).
fof(fact_67_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P2123002749l_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P2123002749l_bool(Pa,produc1244920211al_val(A_1,B_1))) ) ).
fof(fact_68_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P738987199l_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P738987199l_bool(Pa,produc1924279125al_val(A_1,B_1))) ) ).
fof(fact_69_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P1183499705r_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P1183499705r_bool(Pa,produc1299387215t_char(A_1,B_1))) ) ).
fof(fact_70_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P1240100515r_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P1240100515r_bool(Pa,produc57279289t_char(A_1,B_1))) ) ).
fof(fact_71_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P824029447r_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P824029447r_bool(Pa,produc24551831t_char(A_1,B_1))) ) ).
fof(fact_72_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P2028072621l_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P2028072621l_bool(Pa,produc1951691075on_val(A_1,B_1))) ) ).
fof(fact_73_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P1221872711l_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P1221872711l_bool(Pa,produc870913623on_val(A_1,B_1))) ) ).
fof(fact_74_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P378063101l_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P378063101l_bool(Pa,produc1564932627on_val(A_1,B_1))) ) ).
fof(fact_75_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P282169671l_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P282169671l_bool(Pa,produc1441475159on_val(A_1,B_1))) ) ).
fof(fact_76_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P1708370145l_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P1708370145l_bool(Pa,produc1259058957on_val(A_1,B_1))) ) ).
fof(fact_77_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P159683425l_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P159683425l_bool(Pa,produc899768717on_val(A_1,B_1))) ) ).
fof(fact_78_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P1333315679l_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P1333315679l_bool(Pa,produc1611380469on_val(A_1,B_1))) ) ).
fof(fact_79_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P71593144l_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P71593144l_bool(Pa,produc379668296on_val(A_1,B_1))) ) ).
fof(fact_80_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P92196306r_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P92196306r_bool(Pa,produc921874948t_char(A_1,B_1))) ) ).
fof(fact_81_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P1907982426r_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P1907982426r_bool(Pa,produc1909267824t_char(A_1,B_1))) ) ).
fof(fact_82_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P2118621157r_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P2118621157r_bool(Pa,produc1916172923t_char(A_1,B_1))) ) ).
fof(fact_83_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,produc621191550al_val(A_1,B_1))) ) ) ).
fof(fact_84_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P929938951l_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P929938951l_bool(Pa,product_Pair_val_val(A_1,B_1))) ) ).
fof(fact_85_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P1235399154l_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P1235399154l_bool(Pa,produc823076510on_val(A_1,B_1))) ) ).
fof(fact_86_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P449474095r_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P449474095r_bool(Pa,produc5062597t_char(A_1,B_1))) ) ).
fof(fact_87_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P2014166431r_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P2014166431r_bool(Pa,produc1147572817t_char(A_1,B_1))) ) ).
fof(fact_88_Pair__eq,axiom,
! [A,B,A_3,B_4] :
( produc1002914035har_ty(A,B) = produc1002914035har_ty(A_3,B_4)
<=> ( A = A_3
& B = B_4 ) ) ).
fof(fact_89_Pair__eq,axiom,
! [A,B,A_3,B_4] :
( produc1265154397har_ty(A,B) = produc1265154397har_ty(A_3,B_4)
<=> ( A = A_3
& B = B_4 ) ) ).
fof(fact_90_Pair__eq,axiom,
! [A,B,A_3,B_4] :
( produc251930284har_ty(A,B) = produc251930284har_ty(A_3,B_4)
<=> ( A = A_3
& B = B_4 ) ) ).
fof(fact_91_Pair__eq,axiom,
! [A,B,A_3,B_4] :
( produc1897818327t_char(A,B) = produc1897818327t_char(A_3,B_4)
<=> ( A = A_3
& B = B_4 ) ) ).
fof(fact_92_Pair__eq,axiom,
! [A,B,A_3,B_4] :
( produc2080520419t_char(A,B) = produc2080520419t_char(A_3,B_4)
<=> ( A = A_3
& B = B_4 ) ) ).
fof(fact_93_Pair__eq,axiom,
! [A,B,A_3,B_4] :
( produc499151895on_val(A,B) = produc499151895on_val(A_3,B_4)
<=> ( A = A_3
& B = B_4 ) ) ).
fof(fact_94_Pair__eq,axiom,
! [A,B,A_3,B_4] :
( produc1244920211al_val(A,B) = produc1244920211al_val(A_3,B_4)
<=> ( A = A_3
& B = B_4 ) ) ).
fof(fact_95_Pair__eq,axiom,
! [A,B,A_3,B_4] :
( produc1924279125al_val(A,B) = produc1924279125al_val(A_3,B_4)
<=> ( A = A_3
& B = B_4 ) ) ).
fof(fact_96_Pair__eq,axiom,
! [A,B,A_3,B_4] :
( produc1299387215t_char(A,B) = produc1299387215t_char(A_3,B_4)
<=> ( A = A_3
& B = B_4 ) ) ).
fof(fact_97_Pair__eq,axiom,
! [A,B,A_3,B_4] :
( produc57279289t_char(A,B) = produc57279289t_char(A_3,B_4)
<=> ( A = A_3
& B = B_4 ) ) ).
fof(fact_98_Pair__eq,axiom,
! [A,B,A_3,B_4] :
( produc24551831t_char(A,B) = produc24551831t_char(A_3,B_4)
<=> ( A = A_3
& B = B_4 ) ) ).
fof(fact_99_Pair__eq,axiom,
! [A,B,A_3,B_4] :
( produc1951691075on_val(A,B) = produc1951691075on_val(A_3,B_4)
<=> ( A = A_3
& B = B_4 ) ) ).
fof(fact_100_Pair__eq,axiom,
! [A,B,A_3,B_4] :
( produc870913623on_val(A,B) = produc870913623on_val(A_3,B_4)
<=> ( A = A_3
& B = B_4 ) ) ).
fof(fact_101_Pair__eq,axiom,
! [A,B,A_3,B_4] :
( produc1564932627on_val(A,B) = produc1564932627on_val(A_3,B_4)
<=> ( A = A_3
& B = B_4 ) ) ).
fof(fact_102_Pair__eq,axiom,
! [A,B,A_3,B_4] :
( produc1441475159on_val(A,B) = produc1441475159on_val(A_3,B_4)
<=> ( A = A_3
& B = B_4 ) ) ).
fof(fact_103_Pair__eq,axiom,
! [A,B,A_3,B_4] :
( produc1259058957on_val(A,B) = produc1259058957on_val(A_3,B_4)
<=> ( A = A_3
& B = B_4 ) ) ).
fof(fact_104_Pair__eq,axiom,
! [A,B,A_3,B_4] :
( produc899768717on_val(A,B) = produc899768717on_val(A_3,B_4)
<=> ( A = A_3
& B = B_4 ) ) ).
fof(fact_105_Pair__eq,axiom,
! [A,B,A_3,B_4] :
( produc1611380469on_val(A,B) = produc1611380469on_val(A_3,B_4)
<=> ( A = A_3
& B = B_4 ) ) ).
fof(fact_106_Pair__eq,axiom,
! [A,B,A_3,B_4] :
( produc379668296on_val(A,B) = produc379668296on_val(A_3,B_4)
<=> ( A = A_3
& B = B_4 ) ) ).
fof(fact_107_Pair__eq,axiom,
! [A,B,A_3,B_4] :
( produc921874948t_char(A,B) = produc921874948t_char(A_3,B_4)
<=> ( A = A_3
& B = B_4 ) ) ).
fof(fact_108_Pair__eq,axiom,
! [A,B,A_3,B_4] :
( produc1909267824t_char(A,B) = produc1909267824t_char(A_3,B_4)
<=> ( A = A_3
& B = B_4 ) ) ).
fof(fact_109_Pair__eq,axiom,
! [A,B,A_3,B_4] :
( produc1916172923t_char(A,B) = produc1916172923t_char(A_3,B_4)
<=> ( A = A_3
& B = B_4 ) ) ).
fof(fact_110_Pair__eq,axiom,
! [A,B,A_3,B_4] :
( ( is_bop(A)
& is_bop(A_3) )
=> ( produc621191550al_val(A,B) = produc621191550al_val(A_3,B_4)
<=> ( A = A_3
& B = B_4 ) ) ) ).
fof(fact_111_Pair__eq,axiom,
! [A,B,A_3,B_4] :
( product_Pair_val_val(A,B) = product_Pair_val_val(A_3,B_4)
<=> ( A = A_3
& B = B_4 ) ) ).
fof(fact_112_Pair__eq,axiom,
! [A,B,A_3,B_4] :
( produc823076510on_val(A,B) = produc823076510on_val(A_3,B_4)
<=> ( A = A_3
& B = B_4 ) ) ).
fof(fact_113_Pair__eq,axiom,
! [A,B,A_3,B_4] :
( produc5062597t_char(A,B) = produc5062597t_char(A_3,B_4)
<=> ( A = A_3
& B = B_4 ) ) ).
fof(fact_114_Pair__eq,axiom,
! [A,B,A_3,B_4] :
( produc1147572817t_char(A,B) = produc1147572817t_char(A_3,B_4)
<=> ( A = A_3
& B = B_4 ) ) ).
fof(fact_115_Pair__inject,axiom,
! [A_78,B_3,A_77,B_2] :
( produc1002914035har_ty(A_78,B_3) = produc1002914035har_ty(A_77,B_2)
=> ~ ( A_78 = A_77
=> B_3 != B_2 ) ) ).
fof(fact_116_Pair__inject,axiom,
! [A_78,B_3,A_77,B_2] :
( produc1265154397har_ty(A_78,B_3) = produc1265154397har_ty(A_77,B_2)
=> ~ ( A_78 = A_77
=> B_3 != B_2 ) ) ).
fof(fact_117_Pair__inject,axiom,
! [A_78,B_3,A_77,B_2] :
( produc251930284har_ty(A_78,B_3) = produc251930284har_ty(A_77,B_2)
=> ~ ( A_78 = A_77
=> B_3 != B_2 ) ) ).
fof(fact_118_Pair__inject,axiom,
! [A_78,B_3,A_77,B_2] :
( produc1897818327t_char(A_78,B_3) = produc1897818327t_char(A_77,B_2)
=> ~ ( A_78 = A_77
=> B_3 != B_2 ) ) ).
fof(fact_119_Pair__inject,axiom,
! [A_78,B_3,A_77,B_2] :
( produc2080520419t_char(A_78,B_3) = produc2080520419t_char(A_77,B_2)
=> ~ ( A_78 = A_77
=> B_3 != B_2 ) ) ).
fof(fact_120_Pair__inject,axiom,
! [A,B,A_3,B_4] :
( produc499151895on_val(A,B) = produc499151895on_val(A_3,B_4)
=> ~ ( A = A_3
=> B != B_4 ) ) ).
fof(fact_121_Pair__inject,axiom,
! [A_78,B_3,A_77,B_2] :
( produc1244920211al_val(A_78,B_3) = produc1244920211al_val(A_77,B_2)
=> ~ ( A_78 = A_77
=> B_3 != B_2 ) ) ).
fof(fact_122_Pair__inject,axiom,
! [A_78,B_3,A_77,B_2] :
( produc1924279125al_val(A_78,B_3) = produc1924279125al_val(A_77,B_2)
=> ~ ( A_78 = A_77
=> B_3 != B_2 ) ) ).
fof(fact_123_Pair__inject,axiom,
! [A_78,B_3,A_77,B_2] :
( produc1299387215t_char(A_78,B_3) = produc1299387215t_char(A_77,B_2)
=> ~ ( A_78 = A_77
=> B_3 != B_2 ) ) ).
fof(fact_124_Pair__inject,axiom,
! [A_78,B_3,A_77,B_2] :
( produc57279289t_char(A_78,B_3) = produc57279289t_char(A_77,B_2)
=> ~ ( A_78 = A_77
=> B_3 != B_2 ) ) ).
fof(fact_125_Pair__inject,axiom,
! [A_78,B_3,A_77,B_2] :
( produc24551831t_char(A_78,B_3) = produc24551831t_char(A_77,B_2)
=> ~ ( A_78 = A_77
=> B_3 != B_2 ) ) ).
fof(fact_126_Pair__inject,axiom,
! [A,B,A_3,B_4] :
( produc1951691075on_val(A,B) = produc1951691075on_val(A_3,B_4)
=> ~ ( A = A_3
=> B != B_4 ) ) ).
fof(fact_127_Pair__inject,axiom,
! [A,B,A_3,B_4] :
( produc870913623on_val(A,B) = produc870913623on_val(A_3,B_4)
=> ~ ( A = A_3
=> B != B_4 ) ) ).
fof(fact_128_Pair__inject,axiom,
! [A,B,A_3,B_4] :
( produc1564932627on_val(A,B) = produc1564932627on_val(A_3,B_4)
=> ~ ( A = A_3
=> B != B_4 ) ) ).
fof(fact_129_Pair__inject,axiom,
! [A,B,A_3,B_4] :
( produc1441475159on_val(A,B) = produc1441475159on_val(A_3,B_4)
=> ~ ( A = A_3
=> B != B_4 ) ) ).
fof(fact_130_Pair__inject,axiom,
! [A,B,A_3,B_4] :
( produc1259058957on_val(A,B) = produc1259058957on_val(A_3,B_4)
=> ~ ( A = A_3
=> B != B_4 ) ) ).
fof(fact_131_Pair__inject,axiom,
! [A,B,A_3,B_4] :
( produc899768717on_val(A,B) = produc899768717on_val(A_3,B_4)
=> ~ ( A = A_3
=> B != B_4 ) ) ).
fof(fact_132_Pair__inject,axiom,
! [A,B,A_3,B_4] :
( produc1611380469on_val(A,B) = produc1611380469on_val(A_3,B_4)
=> ~ ( A = A_3
=> B != B_4 ) ) ).
fof(fact_133_Pair__inject,axiom,
! [A,B,A_3,B_4] :
( produc379668296on_val(A,B) = produc379668296on_val(A_3,B_4)
=> ~ ( A = A_3
=> B != B_4 ) ) ).
fof(fact_134_Pair__inject,axiom,
! [A_78,B_3,A_77,B_2] :
( produc921874948t_char(A_78,B_3) = produc921874948t_char(A_77,B_2)
=> ~ ( A_78 = A_77
=> B_3 != B_2 ) ) ).
fof(fact_135_Pair__inject,axiom,
! [A_78,B_3,A_77,B_2] :
( produc1909267824t_char(A_78,B_3) = produc1909267824t_char(A_77,B_2)
=> ~ ( A_78 = A_77
=> B_3 != B_2 ) ) ).
fof(fact_136_Pair__inject,axiom,
! [A_78,B_3,A_77,B_2] :
( produc1916172923t_char(A_78,B_3) = produc1916172923t_char(A_77,B_2)
=> ~ ( A_78 = A_77
=> B_3 != B_2 ) ) ).
fof(fact_137_Pair__inject,axiom,
! [A_78,B_3,A_77,B_2] :
( ( is_bop(A_78)
& is_bop(A_77) )
=> ( produc621191550al_val(A_78,B_3) = produc621191550al_val(A_77,B_2)
=> ~ ( A_78 = A_77
=> B_3 != B_2 ) ) ) ).
fof(fact_138_Pair__inject,axiom,
! [A_78,B_3,A_77,B_2] :
( product_Pair_val_val(A_78,B_3) = product_Pair_val_val(A_77,B_2)
=> ~ ( A_78 = A_77
=> B_3 != B_2 ) ) ).
fof(fact_139_Pair__inject,axiom,
! [A,B,A_3,B_4] :
( produc823076510on_val(A,B) = produc823076510on_val(A_3,B_4)
=> ~ ( A = A_3
=> B != B_4 ) ) ).
fof(fact_140_Pair__inject,axiom,
! [A_78,B_3,A_77,B_2] :
( produc5062597t_char(A_78,B_3) = produc5062597t_char(A_77,B_2)
=> ~ ( A_78 = A_77
=> B_3 != B_2 ) ) ).
fof(fact_141_Pair__inject,axiom,
! [A_78,B_3,A_77,B_2] :
( produc1147572817t_char(A_78,B_3) = produc1147572817t_char(A_77,B_2)
=> ~ ( A_78 = A_77
=> B_3 != B_2 ) ) ).
fof(fact_142_hext__refl,axiom,
! [Ha] : hBOOL(hext(Ha,Ha)) ).
fof(fact_143_WTrt__hext__mono,axiom,
! [H_a,Pa,Ha,E_1,Ea,T_3] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,Ea),T_3))
=> ( hBOOL(hext(Ha,H_a))
=> hBOOL(hAPP_ty_bool(wTrt(Pa,H_a,E_1,Ea),T_3)) ) ) ).
fof(fact_144_red__lcl__add,axiom,
! [L_0,Ea,Ha,La,E_a,H_a,L_a,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,produc899768717on_val(Ha,La)),produc1259058957on_val(E_a,produc899768717on_val(H_a,L_a))),red(Pa)))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,produc899768717on_val(Ha,map_ad325961431ar_val(L_0,La))),produc1259058957on_val(E_a,produc899768717on_val(H_a,map_ad325961431ar_val(L_0,L_a)))),red(Pa))) ) ).
fof(fact_145_prod_Oexhaust,axiom,
! [Y_3] :
~ ! [A_1,B_1] : Y_3 != produc1002914035har_ty(A_1,B_1) ).
fof(fact_146_prod_Oexhaust,axiom,
! [Y_3] :
~ ! [A_1,B_1] : Y_3 != produc1265154397har_ty(A_1,B_1) ).
fof(fact_147_prod_Oexhaust,axiom,
! [Y_3] :
~ ! [A_1,B_1] : Y_3 != produc251930284har_ty(A_1,B_1) ).
fof(fact_148_prod_Oexhaust,axiom,
! [Y_3] :
~ ! [A_1,B_1] : Y_3 != produc1897818327t_char(A_1,B_1) ).
fof(fact_149_prod_Oexhaust,axiom,
! [Y_3] :
~ ! [A_1,B_1] : Y_3 != produc2080520419t_char(A_1,B_1) ).
fof(fact_150_prod_Oexhaust,axiom,
! [Y_1] :
~ ! [A_1,B_1] : Y_1 != produc499151895on_val(A_1,B_1) ).
fof(fact_151_prod_Oexhaust,axiom,
! [Y_3] :
~ ! [A_1,B_1] : Y_3 != produc1244920211al_val(A_1,B_1) ).
fof(fact_152_prod_Oexhaust,axiom,
! [Y_3] :
~ ! [A_1,B_1] : Y_3 != produc1924279125al_val(A_1,B_1) ).
fof(fact_153_prod_Oexhaust,axiom,
! [Y_3] :
~ ! [A_1,B_1] : Y_3 != produc1299387215t_char(A_1,B_1) ).
fof(fact_154_prod_Oexhaust,axiom,
! [Y_3] :
~ ! [A_1,B_1] : Y_3 != produc57279289t_char(A_1,B_1) ).
fof(fact_155_prod_Oexhaust,axiom,
! [Y_3] :
~ ! [A_1,B_1] : Y_3 != produc24551831t_char(A_1,B_1) ).
fof(fact_156_prod_Oexhaust,axiom,
! [Y_1] :
~ ! [A_1,B_1] : Y_1 != produc1951691075on_val(A_1,B_1) ).
fof(fact_157_prod_Oexhaust,axiom,
! [Y_1] :
~ ! [A_1,B_1] : Y_1 != produc870913623on_val(A_1,B_1) ).
fof(fact_158_prod_Oexhaust,axiom,
! [Y_1] :
~ ! [A_1,B_1] : Y_1 != produc1564932627on_val(A_1,B_1) ).
fof(fact_159_prod_Oexhaust,axiom,
! [Y_1] :
~ ! [A_1,B_1] : Y_1 != produc1441475159on_val(A_1,B_1) ).
fof(fact_160_prod_Oexhaust,axiom,
! [Y_1] :
~ ! [A_1,B_1] : Y_1 != produc1259058957on_val(A_1,B_1) ).
fof(fact_161_prod_Oexhaust,axiom,
! [Y_1] :
~ ! [A_1,B_1] : Y_1 != produc899768717on_val(A_1,B_1) ).
fof(fact_162_prod_Oexhaust,axiom,
! [Y_1] :
~ ! [A_1,B_1] : Y_1 != produc1611380469on_val(A_1,B_1) ).
fof(fact_163_prod_Oexhaust,axiom,
! [Y_1] :
~ ! [A_1,B_1] : Y_1 != produc379668296on_val(A_1,B_1) ).
fof(fact_164_prod_Oexhaust,axiom,
! [Y_3] :
~ ! [A_1,B_1] : Y_3 != produc921874948t_char(A_1,B_1) ).
fof(fact_165_prod_Oexhaust,axiom,
! [Y_3] :
~ ! [A_1,B_1] : Y_3 != produc1909267824t_char(A_1,B_1) ).
fof(fact_166_prod_Oexhaust,axiom,
! [Y_3] :
~ ! [A_1,B_1] : Y_3 != produc1916172923t_char(A_1,B_1) ).
fof(fact_167_prod_Oexhaust,axiom,
! [Y_3] :
~ ! [A_1,B_1] :
( is_bop(A_1)
=> Y_3 != produc621191550al_val(A_1,B_1) ) ).
fof(fact_168_prod_Oexhaust,axiom,
! [Y_3] :
~ ! [A_1,B_1] : Y_3 != product_Pair_val_val(A_1,B_1) ).
fof(fact_169_prod_Oexhaust,axiom,
! [Y_1] :
~ ! [A_1,B_1] : Y_1 != produc823076510on_val(A_1,B_1) ).
fof(fact_170_prod_Oexhaust,axiom,
! [Y_3] :
~ ! [A_1,B_1] : Y_3 != produc5062597t_char(A_1,B_1) ).
fof(fact_171_prod_Oexhaust,axiom,
! [Y_3] :
~ ! [A_1,B_1] : Y_3 != produc1147572817t_char(A_1,B_1) ).
fof(fact_172_PairE,axiom,
! [P_2] :
~ ! [X_1,Y_2] : P_2 != produc1002914035har_ty(X_1,Y_2) ).
fof(fact_173_PairE,axiom,
! [P_2] :
~ ! [X_1,Y_2] : P_2 != produc1265154397har_ty(X_1,Y_2) ).
fof(fact_174_PairE,axiom,
! [P_2] :
~ ! [X_1,Y_2] : P_2 != produc251930284har_ty(X_1,Y_2) ).
fof(fact_175_PairE,axiom,
! [P_2] :
~ ! [X_1,Y_2] : P_2 != produc1897818327t_char(X_1,Y_2) ).
fof(fact_176_PairE,axiom,
! [P_2] :
~ ! [X_1,Y_2] : P_2 != produc2080520419t_char(X_1,Y_2) ).
fof(fact_177_PairE,axiom,
! [P_1] :
~ ! [X_1,Y_2] : P_1 != produc499151895on_val(X_1,Y_2) ).
fof(fact_178_PairE,axiom,
! [P_2] :
~ ! [X_1,Y_2] : P_2 != produc1244920211al_val(X_1,Y_2) ).
fof(fact_179_PairE,axiom,
! [P_2] :
~ ! [X_1,Y_2] : P_2 != produc1924279125al_val(X_1,Y_2) ).
fof(fact_180_PairE,axiom,
! [P_2] :
~ ! [X_1,Y_2] : P_2 != produc1299387215t_char(X_1,Y_2) ).
fof(fact_181_PairE,axiom,
! [P_2] :
~ ! [X_1,Y_2] : P_2 != produc57279289t_char(X_1,Y_2) ).
fof(fact_182_PairE,axiom,
! [P_2] :
~ ! [X_1,Y_2] : P_2 != produc24551831t_char(X_1,Y_2) ).
fof(fact_183_PairE,axiom,
! [P_1] :
~ ! [X_1,Y_2] : P_1 != produc1951691075on_val(X_1,Y_2) ).
fof(fact_184_PairE,axiom,
! [P_1] :
~ ! [X_1,Y_2] : P_1 != produc870913623on_val(X_1,Y_2) ).
fof(fact_185_PairE,axiom,
! [P_1] :
~ ! [X_1,Y_2] : P_1 != produc1564932627on_val(X_1,Y_2) ).
fof(fact_186_PairE,axiom,
! [P_1] :
~ ! [X_1,Y_2] : P_1 != produc1441475159on_val(X_1,Y_2) ).
fof(fact_187_PairE,axiom,
! [P_1] :
~ ! [X_1,Y_2] : P_1 != produc1259058957on_val(X_1,Y_2) ).
fof(fact_188_PairE,axiom,
! [P_1] :
~ ! [X_1,Y_2] : P_1 != produc899768717on_val(X_1,Y_2) ).
fof(fact_189_PairE,axiom,
! [P_1] :
~ ! [X_1,Y_2] : P_1 != produc1611380469on_val(X_1,Y_2) ).
fof(fact_190_PairE,axiom,
! [P_1] :
~ ! [X_1,Y_2] : P_1 != produc379668296on_val(X_1,Y_2) ).
fof(fact_191_PairE,axiom,
! [P_2] :
~ ! [X_1,Y_2] : P_2 != produc921874948t_char(X_1,Y_2) ).
fof(fact_192_PairE,axiom,
! [P_2] :
~ ! [X_1,Y_2] : P_2 != produc1909267824t_char(X_1,Y_2) ).
fof(fact_193_PairE,axiom,
! [P_2] :
~ ! [X_1,Y_2] : P_2 != produc1916172923t_char(X_1,Y_2) ).
fof(fact_194_PairE,axiom,
! [P_2] :
~ ! [X_1,Y_2] :
( is_bop(X_1)
=> P_2 != produc621191550al_val(X_1,Y_2) ) ).
fof(fact_195_PairE,axiom,
! [P_2] :
~ ! [X_1,Y_2] : P_2 != product_Pair_val_val(X_1,Y_2) ).
fof(fact_196_PairE,axiom,
! [P_1] :
~ ! [X_1,Y_2] : P_1 != produc823076510on_val(X_1,Y_2) ).
fof(fact_197_PairE,axiom,
! [P_2] :
~ ! [X_1,Y_2] : P_2 != produc5062597t_char(X_1,Y_2) ).
fof(fact_198_PairE,axiom,
! [P_2] :
~ ! [X_1,Y_2] : P_2 != produc1147572817t_char(X_1,Y_2) ).
fof(fact_199_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P831231943y_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P831231943y_bool(Pa,produc1002914035har_ty(A_1,B_1))) ) ).
fof(fact_200_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P27757617y_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P27757617y_bool(Pa,produc1265154397har_ty(A_1,B_1))) ) ).
fof(fact_201_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P748443392y_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P748443392y_bool(Pa,produc251930284har_ty(A_1,B_1))) ) ).
fof(fact_202_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P1002912327r_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P1002912327r_bool(Pa,produc1897818327t_char(A_1,B_1))) ) ).
fof(fact_203_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P2010574925r_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P2010574925r_bool(Pa,produc2080520419t_char(A_1,B_1))) ) ).
fof(fact_204_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P124632071l_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P124632071l_bool(Pa,produc499151895on_val(A_1,B_1))) ) ).
fof(fact_205_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P2123002749l_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P2123002749l_bool(Pa,produc1244920211al_val(A_1,B_1))) ) ).
fof(fact_206_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P738987199l_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P738987199l_bool(Pa,produc1924279125al_val(A_1,B_1))) ) ).
fof(fact_207_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P1183499705r_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P1183499705r_bool(Pa,produc1299387215t_char(A_1,B_1))) ) ).
fof(fact_208_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P1240100515r_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P1240100515r_bool(Pa,produc57279289t_char(A_1,B_1))) ) ).
fof(fact_209_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P824029447r_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P824029447r_bool(Pa,produc24551831t_char(A_1,B_1))) ) ).
fof(fact_210_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P2028072621l_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P2028072621l_bool(Pa,produc1951691075on_val(A_1,B_1))) ) ).
fof(fact_211_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P1221872711l_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P1221872711l_bool(Pa,produc870913623on_val(A_1,B_1))) ) ).
fof(fact_212_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P378063101l_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P378063101l_bool(Pa,produc1564932627on_val(A_1,B_1))) ) ).
fof(fact_213_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P282169671l_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P282169671l_bool(Pa,produc1441475159on_val(A_1,B_1))) ) ).
fof(fact_214_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P1708370145l_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P1708370145l_bool(Pa,produc1259058957on_val(A_1,B_1))) ) ).
fof(fact_215_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P159683425l_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P159683425l_bool(Pa,produc899768717on_val(A_1,B_1))) ) ).
fof(fact_216_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P1333315679l_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P1333315679l_bool(Pa,produc1611380469on_val(A_1,B_1))) ) ).
fof(fact_217_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P71593144l_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P71593144l_bool(Pa,produc379668296on_val(A_1,B_1))) ) ).
fof(fact_218_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P92196306r_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P92196306r_bool(Pa,produc921874948t_char(A_1,B_1))) ) ).
fof(fact_219_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P1907982426r_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P1907982426r_bool(Pa,produc1909267824t_char(A_1,B_1))) ) ).
fof(fact_220_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P2118621157r_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P2118621157r_bool(Pa,produc1916172923t_char(A_1,B_1))) ) ).
fof(fact_221_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,produc621191550al_val(A_1,B_1))) ) ) ).
fof(fact_222_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P929938951l_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P929938951l_bool(Pa,product_Pair_val_val(A_1,B_1))) ) ).
fof(fact_223_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P1235399154l_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P1235399154l_bool(Pa,produc823076510on_val(A_1,B_1))) ) ).
fof(fact_224_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P449474095r_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P449474095r_bool(Pa,produc5062597t_char(A_1,B_1))) ) ).
fof(fact_225_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P2014166431r_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P2014166431r_bool(Pa,produc1147572817t_char(A_1,B_1))) ) ).
fof(fact_226_hext__trans,axiom,
! [H_4,Ha,H_a] :
( hBOOL(hext(Ha,H_a))
=> ( hBOOL(hext(H_a,H_4))
=> hBOOL(hext(Ha,H_4)) ) ) ).
fof(fact_227_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P831231943y_bool(F_1,produc1002914035har_ty(A,B)))
=> hBOOL(hAPP_P748443392y_bool(hAPP_l1665608433y_bool(produc166740340y_bool(F_1),A),B)) ) ).
fof(fact_228_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P27757617y_bool(F_1,produc1265154397har_ty(A,B)))
=> hBOOL(hAPP_ty_bool(hAPP_P1845004857y_bool(produc1215659230y_bool(F_1),A),B)) ) ).
fof(fact_229_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P748443392y_bool(F_1,produc251930284har_ty(A,B)))
=> hBOOL(hAPP_ty_bool(hAPP_l1734756650y_bool(produc2091768109y_bool(F_1),A),B)) ) ).
fof(fact_230_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P1002912327r_bool(F_1,produc1897818327t_char(A,B)))
=> hBOOL(hAPP_P2014166431r_bool(hAPP_P1939418767r_bool(produc1295142846r_bool(F_1),A),B)) ) ).
fof(fact_231_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P2010574925r_bool(F_1,produc2080520419t_char(A,B)))
=> hBOOL(hAPP_P449474095r_bool(hAPP_P663876415r_bool(produc715708746r_bool(F_1),A),B)) ) ).
fof(fact_232_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P124632071l_bool(F_1,produc499151895on_val(A,B)))
=> hBOOL(hAPP_P1235399154l_bool(hAPP_P416784693l_bool(produc1996970750l_bool(F_1),A),B)) ) ).
fof(fact_233_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P2123002749l_bool(F_1,produc1244920211al_val(A,B)))
=> hBOOL(hAPP_P929938951l_bool(hAPP_P1815899455l_bool(produc1034940666l_bool(F_1),A),B)) ) ).
fof(fact_234_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P738987199l_bool(F_1,produc1924279125al_val(A,B)))
=> hBOOL(hAPP_P943837928l_bool(hAPP_P323054207l_bool(produc1969754044l_bool(F_1),A),B)) ) ).
fof(fact_235_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P1183499705r_bool(F_1,produc1299387215t_char(A,B)))
=> hBOOL(hAPP_P2118621157r_bool(hAPP_P357098431r_bool(produc1535899062r_bool(F_1),A),B)) ) ).
fof(fact_236_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P1240100515r_bool(F_1,produc57279289t_char(A,B)))
=> hBOOL(hAPP_P1907982426r_bool(hAPP_P1214880255r_bool(produc1268552608r_bool(F_1),A),B)) ) ).
fof(fact_237_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P824029447r_bool(F_1,produc24551831t_char(A,B)))
=> hBOOL(hAPP_P92196306r_bool(hAPP_P1928969845r_bool(produc17861502r_bool(F_1),A),B)) ) ).
fof(fact_238_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P2028072621l_bool(F_1,produc1951691075on_val(A,B)))
=> hBOOL(hAPP_P1333315679l_bool(hAPP_P220718911l_bool(produc971707818l_bool(F_1),A),B)) ) ).
fof(fact_239_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P1221872711l_bool(F_1,produc870913623on_val(A,B)))
=> hBOOL(hAPP_P159683425l_bool(hAPP_P1988153107l_bool(produc1073654846l_bool(F_1),A),B)) ) ).
fof(fact_240_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P378063101l_bool(F_1,produc1564932627on_val(A,B)))
=> hBOOL(hAPP_P282169671l_bool(hAPP_P2062527807l_bool(produc1497005946l_bool(F_1),A),B)) ) ).
fof(fact_241_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P282169671l_bool(F_1,produc1441475159on_val(A,B)))
=> hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(produc1159035454l_bool(F_1),A),B)) ) ).
fof(fact_242_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P1708370145l_bool(F_1,produc1259058957on_val(A,B)))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(produc1911975310l_bool(F_1),A),B)) ) ).
fof(fact_243_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P159683425l_bool(F_1,produc899768717on_val(A,B)))
=> hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(produc2062775566l_bool(F_1),A),B)) ) ).
fof(fact_244_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P1333315679l_bool(F_1,produc1611380469on_val(A,B)))
=> hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(produc2053127004l_bool(F_1),A),B)) ) ).
fof(fact_245_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P71593144l_bool(F_1,produc379668296on_val(A,B)))
=> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(produc1838470831l_bool(F_1),A),B)) ) ).
fof(fact_246_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P92196306r_bool(F_1,produc921874948t_char(A,B)))
=> hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(produc1574020101r_bool(F_1),A),B)) ) ).
fof(fact_247_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P1907982426r_bool(F_1,produc1909267824t_char(A,B)))
=> hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(produc156891095r_bool(F_1),A),B)) ) ).
fof(fact_248_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P2118621157r_bool(F_1,produc1916172923t_char(A,B)))
=> hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(produc550034914r_bool(F_1),A),B)) ) ).
fof(fact_249_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P943837928l_bool(F_1,produc621191550al_val(A,B)))
=> hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(produc1555310053l_bool(F_1),A),B)) ) ).
fof(fact_250_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P929938951l_bool(F_1,product_Pair_val_val(A,B)))
=> hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(produc886919678l_bool(F_1),A),B)) ) ).
fof(fact_251_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P1235399154l_bool(F_1,produc823076510on_val(A,B)))
=> hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(produc481748255l_bool(F_1),A),B)) ) ).
fof(fact_252_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P449474095r_bool(F_1,produc5062597t_char(A,B)))
=> hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(produc95371820r_bool(F_1),A),B)) ) ).
fof(fact_253_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P2014166431r_bool(F_1,produc1147572817t_char(A,B)))
=> hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(produc288369490r_bool(F_1),A),B)) ) ).
fof(fact_254_reds__hext__incr,axiom,
! [Esa,Ha,La,Es_a,H_a,L_a,Pa] :
( hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(Esa,produc899768717on_val(Ha,La)),produc379668296on_val(Es_a,produc899768717on_val(H_a,L_a))),reds(Pa)))
=> hBOOL(hext(Ha,H_a)) ) ).
fof(fact_255_red__reds_OTryRed,axiom,
! [C,V,E_2,Ea,S_1,E_a,S,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),red(Pa)))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(tryCatch_list_char(Ea,C,V,E_2),S_1),produc1259058957on_val(tryCatch_list_char(E_a,C,V,E_2),S)),red(Pa))) ) ).
fof(fact_256_curryD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P748443392y_bool(hAPP_l1665608433y_bool(produc166740340y_bool(F_1),A),B))
=> hBOOL(hAPP_P831231943y_bool(F_1,produc1002914035har_ty(A,B))) ) ).
fof(fact_257_curryD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_ty_bool(hAPP_P1845004857y_bool(produc1215659230y_bool(F_1),A),B))
=> hBOOL(hAPP_P27757617y_bool(F_1,produc1265154397har_ty(A,B))) ) ).
fof(fact_258_curryD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_ty_bool(hAPP_l1734756650y_bool(produc2091768109y_bool(F_1),A),B))
=> hBOOL(hAPP_P748443392y_bool(F_1,produc251930284har_ty(A,B))) ) ).
fof(fact_259_curryD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P2014166431r_bool(hAPP_P1939418767r_bool(produc1295142846r_bool(F_1),A),B))
=> hBOOL(hAPP_P1002912327r_bool(F_1,produc1897818327t_char(A,B))) ) ).
fof(fact_260_curryD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P449474095r_bool(hAPP_P663876415r_bool(produc715708746r_bool(F_1),A),B))
=> hBOOL(hAPP_P2010574925r_bool(F_1,produc2080520419t_char(A,B))) ) ).
fof(fact_261_curryD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P1235399154l_bool(hAPP_P416784693l_bool(produc1996970750l_bool(F_1),A),B))
=> hBOOL(hAPP_P124632071l_bool(F_1,produc499151895on_val(A,B))) ) ).
fof(fact_262_curryD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P929938951l_bool(hAPP_P1815899455l_bool(produc1034940666l_bool(F_1),A),B))
=> hBOOL(hAPP_P2123002749l_bool(F_1,produc1244920211al_val(A,B))) ) ).
fof(fact_263_curryD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P943837928l_bool(hAPP_P323054207l_bool(produc1969754044l_bool(F_1),A),B))
=> hBOOL(hAPP_P738987199l_bool(F_1,produc1924279125al_val(A,B))) ) ).
fof(fact_264_curryD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P2118621157r_bool(hAPP_P357098431r_bool(produc1535899062r_bool(F_1),A),B))
=> hBOOL(hAPP_P1183499705r_bool(F_1,produc1299387215t_char(A,B))) ) ).
fof(fact_265_curryD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P1907982426r_bool(hAPP_P1214880255r_bool(produc1268552608r_bool(F_1),A),B))
=> hBOOL(hAPP_P1240100515r_bool(F_1,produc57279289t_char(A,B))) ) ).
fof(fact_266_curryD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P92196306r_bool(hAPP_P1928969845r_bool(produc17861502r_bool(F_1),A),B))
=> hBOOL(hAPP_P824029447r_bool(F_1,produc24551831t_char(A,B))) ) ).
fof(fact_267_curryD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P1333315679l_bool(hAPP_P220718911l_bool(produc971707818l_bool(F_1),A),B))
=> hBOOL(hAPP_P2028072621l_bool(F_1,produc1951691075on_val(A,B))) ) ).
fof(fact_268_curryD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P159683425l_bool(hAPP_P1988153107l_bool(produc1073654846l_bool(F_1),A),B))
=> hBOOL(hAPP_P1221872711l_bool(F_1,produc870913623on_val(A,B))) ) ).
fof(fact_269_curryD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P282169671l_bool(hAPP_P2062527807l_bool(produc1497005946l_bool(F_1),A),B))
=> hBOOL(hAPP_P378063101l_bool(F_1,produc1564932627on_val(A,B))) ) ).
fof(fact_270_curryD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(produc1159035454l_bool(F_1),A),B))
=> hBOOL(hAPP_P282169671l_bool(F_1,produc1441475159on_val(A,B))) ) ).
fof(fact_271_curryD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(produc1911975310l_bool(F_1),A),B))
=> hBOOL(hAPP_P1708370145l_bool(F_1,produc1259058957on_val(A,B))) ) ).
fof(fact_272_curryD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(produc2062775566l_bool(F_1),A),B))
=> hBOOL(hAPP_P159683425l_bool(F_1,produc899768717on_val(A,B))) ) ).
fof(fact_273_curryD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(produc2053127004l_bool(F_1),A),B))
=> hBOOL(hAPP_P1333315679l_bool(F_1,produc1611380469on_val(A,B))) ) ).
fof(fact_274_curryD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(produc1838470831l_bool(F_1),A),B))
=> hBOOL(hAPP_P71593144l_bool(F_1,produc379668296on_val(A,B))) ) ).
fof(fact_275_curryD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(produc1574020101r_bool(F_1),A),B))
=> hBOOL(hAPP_P92196306r_bool(F_1,produc921874948t_char(A,B))) ) ).
fof(fact_276_curryD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(produc156891095r_bool(F_1),A),B))
=> hBOOL(hAPP_P1907982426r_bool(F_1,produc1909267824t_char(A,B))) ) ).
fof(fact_277_curryD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(produc550034914r_bool(F_1),A),B))
=> hBOOL(hAPP_P2118621157r_bool(F_1,produc1916172923t_char(A,B))) ) ).
fof(fact_278_curryD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(produc1555310053l_bool(F_1),A),B))
=> hBOOL(hAPP_P943837928l_bool(F_1,produc621191550al_val(A,B))) ) ).
fof(fact_279_curryD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(produc886919678l_bool(F_1),A),B))
=> hBOOL(hAPP_P929938951l_bool(F_1,product_Pair_val_val(A,B))) ) ).
fof(fact_280_curryD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(produc481748255l_bool(F_1),A),B))
=> hBOOL(hAPP_P1235399154l_bool(F_1,produc823076510on_val(A,B))) ) ).
fof(fact_281_curryD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(produc95371820r_bool(F_1),A),B))
=> hBOOL(hAPP_P449474095r_bool(F_1,produc5062597t_char(A,B))) ) ).
fof(fact_282_curryD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(produc288369490r_bool(F_1),A),B))
=> hBOOL(hAPP_P2014166431r_bool(F_1,produc1147572817t_char(A,B))) ) ).
fof(fact_283_curryE,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P748443392y_bool(hAPP_l1665608433y_bool(produc166740340y_bool(F_1),A),B))
=> hBOOL(hAPP_P831231943y_bool(F_1,produc1002914035har_ty(A,B))) ) ).
fof(fact_284_curryE,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_ty_bool(hAPP_P1845004857y_bool(produc1215659230y_bool(F_1),A),B))
=> hBOOL(hAPP_P27757617y_bool(F_1,produc1265154397har_ty(A,B))) ) ).
fof(fact_285_curryE,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_ty_bool(hAPP_l1734756650y_bool(produc2091768109y_bool(F_1),A),B))
=> hBOOL(hAPP_P748443392y_bool(F_1,produc251930284har_ty(A,B))) ) ).
fof(fact_286_curryE,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P2014166431r_bool(hAPP_P1939418767r_bool(produc1295142846r_bool(F_1),A),B))
=> hBOOL(hAPP_P1002912327r_bool(F_1,produc1897818327t_char(A,B))) ) ).
fof(fact_287_curryE,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P449474095r_bool(hAPP_P663876415r_bool(produc715708746r_bool(F_1),A),B))
=> hBOOL(hAPP_P2010574925r_bool(F_1,produc2080520419t_char(A,B))) ) ).
fof(fact_288_curryE,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P1235399154l_bool(hAPP_P416784693l_bool(produc1996970750l_bool(F_1),A),B))
=> hBOOL(hAPP_P124632071l_bool(F_1,produc499151895on_val(A,B))) ) ).
fof(fact_289_curryE,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P929938951l_bool(hAPP_P1815899455l_bool(produc1034940666l_bool(F_1),A),B))
=> hBOOL(hAPP_P2123002749l_bool(F_1,produc1244920211al_val(A,B))) ) ).
fof(fact_290_curryE,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P943837928l_bool(hAPP_P323054207l_bool(produc1969754044l_bool(F_1),A),B))
=> hBOOL(hAPP_P738987199l_bool(F_1,produc1924279125al_val(A,B))) ) ).
fof(fact_291_curryE,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P2118621157r_bool(hAPP_P357098431r_bool(produc1535899062r_bool(F_1),A),B))
=> hBOOL(hAPP_P1183499705r_bool(F_1,produc1299387215t_char(A,B))) ) ).
fof(fact_292_curryE,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P1907982426r_bool(hAPP_P1214880255r_bool(produc1268552608r_bool(F_1),A),B))
=> hBOOL(hAPP_P1240100515r_bool(F_1,produc57279289t_char(A,B))) ) ).
fof(fact_293_curryE,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P92196306r_bool(hAPP_P1928969845r_bool(produc17861502r_bool(F_1),A),B))
=> hBOOL(hAPP_P824029447r_bool(F_1,produc24551831t_char(A,B))) ) ).
fof(fact_294_curryE,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P1333315679l_bool(hAPP_P220718911l_bool(produc971707818l_bool(F_1),A),B))
=> hBOOL(hAPP_P2028072621l_bool(F_1,produc1951691075on_val(A,B))) ) ).
fof(fact_295_curryE,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P159683425l_bool(hAPP_P1988153107l_bool(produc1073654846l_bool(F_1),A),B))
=> hBOOL(hAPP_P1221872711l_bool(F_1,produc870913623on_val(A,B))) ) ).
fof(fact_296_curryE,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P282169671l_bool(hAPP_P2062527807l_bool(produc1497005946l_bool(F_1),A),B))
=> hBOOL(hAPP_P378063101l_bool(F_1,produc1564932627on_val(A,B))) ) ).
fof(fact_297_curryE,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(produc1159035454l_bool(F_1),A),B))
=> hBOOL(hAPP_P282169671l_bool(F_1,produc1441475159on_val(A,B))) ) ).
fof(fact_298_curryE,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(produc1911975310l_bool(F_1),A),B))
=> hBOOL(hAPP_P1708370145l_bool(F_1,produc1259058957on_val(A,B))) ) ).
fof(fact_299_curryE,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(produc2062775566l_bool(F_1),A),B))
=> hBOOL(hAPP_P159683425l_bool(F_1,produc899768717on_val(A,B))) ) ).
fof(fact_300_curryE,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(produc2053127004l_bool(F_1),A),B))
=> hBOOL(hAPP_P1333315679l_bool(F_1,produc1611380469on_val(A,B))) ) ).
fof(fact_301_curryE,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(produc1838470831l_bool(F_1),A),B))
=> hBOOL(hAPP_P71593144l_bool(F_1,produc379668296on_val(A,B))) ) ).
fof(fact_302_curryE,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(produc1574020101r_bool(F_1),A),B))
=> hBOOL(hAPP_P92196306r_bool(F_1,produc921874948t_char(A,B))) ) ).
fof(fact_303_curryE,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(produc156891095r_bool(F_1),A),B))
=> hBOOL(hAPP_P1907982426r_bool(F_1,produc1909267824t_char(A,B))) ) ).
fof(fact_304_curryE,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(produc550034914r_bool(F_1),A),B))
=> hBOOL(hAPP_P2118621157r_bool(F_1,produc1916172923t_char(A,B))) ) ).
fof(fact_305_curryE,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(produc1555310053l_bool(F_1),A),B))
=> hBOOL(hAPP_P943837928l_bool(F_1,produc621191550al_val(A,B))) ) ).
fof(fact_306_curryE,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(produc886919678l_bool(F_1),A),B))
=> hBOOL(hAPP_P929938951l_bool(F_1,product_Pair_val_val(A,B))) ) ).
fof(fact_307_curryE,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(produc481748255l_bool(F_1),A),B))
=> hBOOL(hAPP_P1235399154l_bool(F_1,produc823076510on_val(A,B))) ) ).
fof(fact_308_curryE,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(produc95371820r_bool(F_1),A),B))
=> hBOOL(hAPP_P449474095r_bool(F_1,produc5062597t_char(A,B))) ) ).
fof(fact_309_curryE,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(produc288369490r_bool(F_1),A),B))
=> hBOOL(hAPP_P2014166431r_bool(F_1,produc1147572817t_char(A,B))) ) ).
fof(fact_310_curry__conv,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(produc1159035454l_bool(F_1),A),B))
<=> hBOOL(hAPP_P282169671l_bool(F_1,produc1441475159on_val(A,B))) ) ).
fof(fact_311_curry__conv,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(produc1911975310l_bool(F_1),A),B))
<=> hBOOL(hAPP_P1708370145l_bool(F_1,produc1259058957on_val(A,B))) ) ).
fof(fact_312_curry__conv,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(produc2062775566l_bool(F_1),A),B))
<=> hBOOL(hAPP_P159683425l_bool(F_1,produc899768717on_val(A,B))) ) ).
fof(fact_313_curry__conv,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(produc2053127004l_bool(F_1),A),B))
<=> hBOOL(hAPP_P1333315679l_bool(F_1,produc1611380469on_val(A,B))) ) ).
fof(fact_314_curry__conv,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(produc1838470831l_bool(F_1),A),B))
<=> hBOOL(hAPP_P71593144l_bool(F_1,produc379668296on_val(A,B))) ) ).
fof(fact_315_curry__conv,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(produc1574020101r_bool(F_1),A),B))
<=> hBOOL(hAPP_P92196306r_bool(F_1,produc921874948t_char(A,B))) ) ).
fof(fact_316_curry__conv,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(produc156891095r_bool(F_1),A),B))
<=> hBOOL(hAPP_P1907982426r_bool(F_1,produc1909267824t_char(A,B))) ) ).
fof(fact_317_curry__conv,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(produc550034914r_bool(F_1),A),B))
<=> hBOOL(hAPP_P2118621157r_bool(F_1,produc1916172923t_char(A,B))) ) ).
fof(fact_318_curry__conv,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(produc1555310053l_bool(F_1),A),B))
<=> hBOOL(hAPP_P943837928l_bool(F_1,produc621191550al_val(A,B))) ) ).
fof(fact_319_curry__conv,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(produc886919678l_bool(F_1),A),B))
<=> hBOOL(hAPP_P929938951l_bool(F_1,product_Pair_val_val(A,B))) ) ).
fof(fact_320_curry__conv,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(produc481748255l_bool(F_1),A),B))
<=> hBOOL(hAPP_P1235399154l_bool(F_1,produc823076510on_val(A,B))) ) ).
fof(fact_321_curry__conv,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(produc95371820r_bool(F_1),A),B))
<=> hBOOL(hAPP_P449474095r_bool(F_1,produc5062597t_char(A,B))) ) ).
fof(fact_322_curry__conv,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(produc288369490r_bool(F_1),A),B))
<=> hBOOL(hAPP_P2014166431r_bool(F_1,produc1147572817t_char(A,B))) ) ).
fof(fact_323_red__reds_OListRed1,axiom,
! [Esa,Ea,S_1,E_a,S,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),red(Pa)))
=> hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(cons_exp_list_char(Ea,Esa),S_1),produc379668296on_val(cons_exp_list_char(E_a,Esa),S)),reds(Pa))) ) ).
fof(fact_324_Red__lcl__add,axiom,
! [L_0,Ea,Ha,La,E_a,H_a,L_a,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,produc899768717on_val(Ha,La)),produc1259058957on_val(E_a,produc899768717on_val(H_a,L_a))),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,produc899768717on_val(Ha,map_ad325961431ar_val(L_0,La))),produc1259058957on_val(E_a,produc899768717on_val(H_a,map_ad325961431ar_val(L_0,L_a)))),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_325_red__reds_ORedTry,axiom,
! [V_1,C,V,E_2,S_1,Pa] : hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(tryCatch_list_char(hAPP_v834067052t_char(val_list_char,V_1),C,V,E_2),S_1),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_1),S_1)),red(Pa))) ).
fof(fact_326_map__add__assoc,axiom,
! [M1,M2,M3] : map_ad325961431ar_val(M1,map_ad325961431ar_val(M2,M3)) = map_ad325961431ar_val(map_ad325961431ar_val(M1,M2),M3) ).
fof(fact_327_exp_Osimps_I15_J,axiom,
! [Exp1_81,List_3,A,Exp2_81,Exp1_80,List_2,A_3,Exp2_80] :
( tryCatch_list_char(Exp1_81,List_3,A,Exp2_81) = tryCatch_list_char(Exp1_80,List_2,A_3,Exp2_80)
<=> ( Exp1_81 = Exp1_80
& List_3 = List_2
& A = A_3
& Exp2_81 = Exp2_80 ) ) ).
fof(fact_328_red__reds_OFAccRed,axiom,
! [F,D,Ea,S_1,E_a,S,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),red(Pa)))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(fAcc_list_char(Ea,F,D),S_1),produc1259058957on_val(fAcc_list_char(E_a,F,D),S)),red(Pa))) ) ).
fof(fact_329_red__reds_OCastRed,axiom,
! [C,Ea,S_1,E_a,S,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),red(Pa)))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(cast_list_char(C,Ea),S_1),produc1259058957on_val(cast_list_char(C,E_a),S)),red(Pa))) ) ).
fof(fact_330_red__reds_OCondRed,axiom,
! [E_1_1,E_2,Ea,S_1,E_a,S,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),red(Pa)))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(cond_list_char(Ea,E_1_1,E_2),S_1),produc1259058957on_val(cond_list_char(E_a,E_1_1,E_2),S)),red(Pa))) ) ).
fof(fact_331_red__reds_OCallParams,axiom,
! [V_1,M,Esa,S_1,Es_a,S,Pa] :
( hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(Esa,S_1),produc379668296on_val(Es_a,S)),reds(Pa)))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(call_list_char(hAPP_v834067052t_char(val_list_char,V_1),M,Esa),S_1),produc1259058957on_val(call_list_char(hAPP_v834067052t_char(val_list_char,V_1),M,Es_a),S)),red(Pa))) ) ).
fof(fact_332_red__reds_OBinOpRed1,axiom,
! [Bop,E_2,Ea,S_1,E_a,S,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),red(Pa)))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(binOp_list_char(Ea,Bop,E_2),S_1),produc1259058957on_val(binOp_list_char(E_a,Bop,E_2),S)),red(Pa))) ) ).
fof(fact_333_red__reds_OCallObj,axiom,
! [M,Esa,Ea,S_1,E_a,S,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),red(Pa)))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(call_list_char(Ea,M,Esa),S_1),produc1259058957on_val(call_list_char(E_a,M,Esa),S)),red(Pa))) ) ).
fof(fact_334_exp_Osimps_I45_J,axiom,
! [Val_25,List_51,Exp_145] : hAPP_v834067052t_char(val_list_char,Val_25) != cast_list_char(List_51,Exp_145) ).
fof(fact_335_exp_Osimps_I80_J,axiom,
! [Val_24,Exp_144,List1_73,List2_73] : hAPP_v834067052t_char(val_list_char,Val_24) != call_list_char(Exp_144,List1_73,List2_73) ).
fof(fact_336_exp_Osimps_I86_J,axiom,
! [Val_23,Exp1_145,Exp2_145,Exp3_25] : hAPP_v834067052t_char(val_list_char,Val_23) != cond_list_char(Exp1_145,Exp2_145,Exp3_25) ).
fof(fact_337_exp_Osimps_I76_J,axiom,
! [Val_22,Exp_143,List1_72,List2_72] : hAPP_v834067052t_char(val_list_char,Val_22) != fAcc_list_char(Exp_143,List1_72,List2_72) ).
fof(fact_338_exp_Osimps_I70_J,axiom,
! [Val_21,Exp1_144,Bop_25,Exp2_144] : hAPP_v834067052t_char(val_list_char,Val_21) != binOp_list_char(Exp1_144,Bop_25,Exp2_144) ).
fof(fact_339_exp_Osimps_I44_J,axiom,
! [List_50,Exp_142,Val_20] : cast_list_char(List_50,Exp_142) != hAPP_v834067052t_char(val_list_char,Val_20) ).
fof(fact_340_exp_Osimps_I56_J,axiom,
! [List_49,Exp_141,Exp_140,List1_71,List2_71] : cast_list_char(List_49,Exp_141) != call_list_char(Exp_140,List1_71,List2_71) ).
fof(fact_341_exp_Osimps_I62_J,axiom,
! [List_48,Exp_139,Exp1_143,Exp2_143,Exp3_24] : cast_list_char(List_48,Exp_139) != cond_list_char(Exp1_143,Exp2_143,Exp3_24) ).
fof(fact_342_exp_Osimps_I52_J,axiom,
! [List_47,Exp_138,Exp_137,List1_70,List2_70] : cast_list_char(List_47,Exp_138) != fAcc_list_char(Exp_137,List1_70,List2_70) ).
fof(fact_343_exp_Osimps_I46_J,axiom,
! [List_46,Exp_136,Exp1_142,Bop_24,Exp2_142] : cast_list_char(List_46,Exp_136) != binOp_list_char(Exp1_142,Bop_24,Exp2_142) ).
fof(fact_344_exp_Osimps_I81_J,axiom,
! [Exp_135,List1_69,List2_69,Val_19] : call_list_char(Exp_135,List1_69,List2_69) != hAPP_v834067052t_char(val_list_char,Val_19) ).
fof(fact_345_exp_Osimps_I87_J,axiom,
! [Exp1_141,Exp2_141,Exp3_23,Val_18] : cond_list_char(Exp1_141,Exp2_141,Exp3_23) != hAPP_v834067052t_char(val_list_char,Val_18) ).
fof(fact_346_exp_Osimps_I77_J,axiom,
! [Exp_134,List1_68,List2_68,Val_17] : fAcc_list_char(Exp_134,List1_68,List2_68) != hAPP_v834067052t_char(val_list_char,Val_17) ).
fof(fact_347_exp_Osimps_I71_J,axiom,
! [Exp1_140,Bop_23,Exp2_140,Val_16] : binOp_list_char(Exp1_140,Bop_23,Exp2_140) != hAPP_v834067052t_char(val_list_char,Val_16) ).
fof(fact_348_exp_Osimps_I57_J,axiom,
! [Exp_133,List1_67,List2_67,List_45,Exp_132] : call_list_char(Exp_133,List1_67,List2_67) != cast_list_char(List_45,Exp_132) ).
fof(fact_349_exp_Osimps_I63_J,axiom,
! [Exp1_139,Exp2_139,Exp3_22,List_44,Exp_131] : cond_list_char(Exp1_139,Exp2_139,Exp3_22) != cast_list_char(List_44,Exp_131) ).
fof(fact_350_exp_Osimps_I53_J,axiom,
! [Exp_130,List1_66,List2_66,List_43,Exp_129] : fAcc_list_char(Exp_130,List1_66,List2_66) != cast_list_char(List_43,Exp_129) ).
fof(fact_351_exp_Osimps_I47_J,axiom,
! [Exp1_138,Bop_22,Exp2_138,List_42,Exp_128] : binOp_list_char(Exp1_138,Bop_22,Exp2_138) != cast_list_char(List_42,Exp_128) ).
fof(fact_352_exp_Osimps_I188_J,axiom,
! [Exp_127,List1_65,List2_65,Exp1_137,Exp2_137,Exp3_21] : call_list_char(Exp_127,List1_65,List2_65) != cond_list_char(Exp1_137,Exp2_137,Exp3_21) ).
fof(fact_353_exp_Osimps_I157_J,axiom,
! [Exp_126,List1_64,List2_64,Exp_125,List1_63,List2_63] : call_list_char(Exp_126,List1_64,List2_64) != fAcc_list_char(Exp_125,List1_63,List2_63) ).
fof(fact_354_exp_Osimps_I103_J,axiom,
! [Exp_124,List1_62,List2_62,Exp1_136,Bop_21,Exp2_136] : call_list_char(Exp_124,List1_62,List2_62) != binOp_list_char(Exp1_136,Bop_21,Exp2_136) ).
fof(fact_355_exp_Osimps_I189_J,axiom,
! [Exp1_135,Exp2_135,Exp3_20,Exp_123,List1_61,List2_61] : cond_list_char(Exp1_135,Exp2_135,Exp3_20) != call_list_char(Exp_123,List1_61,List2_61) ).
fof(fact_356_exp_Osimps_I163_J,axiom,
! [Exp1_134,Exp2_134,Exp3_19,Exp_122,List1_60,List2_60] : cond_list_char(Exp1_134,Exp2_134,Exp3_19) != fAcc_list_char(Exp_122,List1_60,List2_60) ).
fof(fact_357_exp_Osimps_I109_J,axiom,
! [Exp1_133,Exp2_133,Exp3_18,Exp1_132,Bop_20,Exp2_132] : cond_list_char(Exp1_133,Exp2_133,Exp3_18) != binOp_list_char(Exp1_132,Bop_20,Exp2_132) ).
fof(fact_358_exp_Osimps_I156_J,axiom,
! [Exp_121,List1_59,List2_59,Exp_120,List1_58,List2_58] : fAcc_list_char(Exp_121,List1_59,List2_59) != call_list_char(Exp_120,List1_58,List2_58) ).
fof(fact_359_exp_Osimps_I162_J,axiom,
! [Exp_119,List1_57,List2_57,Exp1_131,Exp2_131,Exp3_17] : fAcc_list_char(Exp_119,List1_57,List2_57) != cond_list_char(Exp1_131,Exp2_131,Exp3_17) ).
fof(fact_360_exp_Osimps_I99_J,axiom,
! [Exp_118,List1_56,List2_56,Exp1_130,Bop_19,Exp2_130] : fAcc_list_char(Exp_118,List1_56,List2_56) != binOp_list_char(Exp1_130,Bop_19,Exp2_130) ).
fof(fact_361_exp_Osimps_I102_J,axiom,
! [Exp1_129,Bop_18,Exp2_129,Exp_117,List1_55,List2_55] : binOp_list_char(Exp1_129,Bop_18,Exp2_129) != call_list_char(Exp_117,List1_55,List2_55) ).
fof(fact_362_exp_Osimps_I108_J,axiom,
! [Exp1_128,Bop_17,Exp2_128,Exp1_127,Exp2_127,Exp3_16] : binOp_list_char(Exp1_128,Bop_17,Exp2_128) != cond_list_char(Exp1_127,Exp2_127,Exp3_16) ).
fof(fact_363_exp_Osimps_I98_J,axiom,
! [Exp1_126,Bop_16,Exp2_126,Exp_116,List1_54,List2_54] : binOp_list_char(Exp1_126,Bop_16,Exp2_126) != fAcc_list_char(Exp_116,List1_54,List2_54) ).
fof(fact_364_exp_Osimps_I3_J,axiom,
! [Val_15,Val_14] :
( hAPP_v834067052t_char(val_list_char,Val_15) = hAPP_v834067052t_char(val_list_char,Val_14)
<=> Val_15 = Val_14 ) ).
fof(fact_365_exp_Osimps_I2_J,axiom,
! [List_3,Exp_35,List_2,Exp_34] :
( cast_list_char(List_3,Exp_35) = cast_list_char(List_2,Exp_34)
<=> ( List_3 = List_2
& Exp_35 = Exp_34 ) ) ).
fof(fact_366_exp_Osimps_I9_J,axiom,
! [Exp_35,List1_41,List2_41,Exp_34,List1_40,List2_40] :
( call_list_char(Exp_35,List1_41,List2_41) = call_list_char(Exp_34,List1_40,List2_40)
<=> ( Exp_35 = Exp_34
& List1_41 = List1_40
& List2_41 = List2_40 ) ) ).
fof(fact_367_exp_Osimps_I12_J,axiom,
! [Exp1_81,Exp2_81,Exp3_15,Exp1_80,Exp2_80,Exp3_14] :
( cond_list_char(Exp1_81,Exp2_81,Exp3_15) = cond_list_char(Exp1_80,Exp2_80,Exp3_14)
<=> ( Exp1_81 = Exp1_80
& Exp2_81 = Exp2_80
& Exp3_15 = Exp3_14 ) ) ).
fof(fact_368_exp_Osimps_I7_J,axiom,
! [Exp_35,List1_41,List2_41,Exp_34,List1_40,List2_40] :
( fAcc_list_char(Exp_35,List1_41,List2_41) = fAcc_list_char(Exp_34,List1_40,List2_40)
<=> ( Exp_35 = Exp_34
& List1_41 = List1_40
& List2_41 = List2_40 ) ) ).
fof(fact_369_exp_Osimps_I4_J,axiom,
! [Exp1_81,Bop,Exp2_81,Exp1_80,Bop_15,Exp2_80] :
( ( is_bop(Bop)
& is_bop(Bop_15) )
=> ( binOp_list_char(Exp1_81,Bop,Exp2_81) = binOp_list_char(Exp1_80,Bop_15,Exp2_80)
<=> ( Exp1_81 = Exp1_80
& Bop = Bop_15
& Exp2_81 = Exp2_80 ) ) ) ).
fof(fact_370_exp_Osimps_I92_J,axiom,
! [Val_13,Exp1_125,List_41,A_76,Exp2_125] : hAPP_v834067052t_char(val_list_char,Val_13) != tryCatch_list_char(Exp1_125,List_41,A_76,Exp2_125) ).
fof(fact_371_mem__def,axiom,
! [X_2,A_75] :
( hBOOL(member503779467har_ty(X_2,A_75))
<=> hBOOL(hAPP_P748443392y_bool(A_75,X_2)) ) ).
fof(fact_372_mem__def,axiom,
! [X_2,A_75] :
( hBOOL(member1783291580har_ty(X_2,A_75))
<=> hBOOL(hAPP_P27757617y_bool(A_75,X_2)) ) ).
fof(fact_373_mem__def,axiom,
! [X_2,A_75] :
( hBOOL(member649088532al_val(X_2,A_75))
<=> hBOOL(hAPP_P929938951l_bool(A_75,X_2)) ) ).
fof(fact_374_mem__def,axiom,
! [X_2,A_75] :
( hBOOL(member1999287380t_char(X_2,A_75))
<=> hBOOL(hAPP_P1002912327r_bool(A_75,X_2)) ) ).
fof(fact_375_mem__def,axiom,
! [X_2,A_75] :
( hBOOL(member794220506t_char(X_2,A_75))
<=> hBOOL(hAPP_P2010574925r_bool(A_75,X_2)) ) ).
fof(fact_376_mem__def,axiom,
! [X_2,A_75] :
( hBOOL(member1322055188on_val(X_2,A_75))
<=> hBOOL(hAPP_P124632071l_bool(A_75,X_2)) ) ).
fof(fact_377_mem__def,axiom,
! [X_2,A_75] :
( hBOOL(member837208074al_val(X_2,A_75))
<=> hBOOL(hAPP_P2123002749l_bool(A_75,X_2)) ) ).
fof(fact_378_mem__def,axiom,
! [X_2,A_75] :
( hBOOL(member1732271180al_val(X_2,A_75))
<=> hBOOL(hAPP_P738987199l_bool(A_75,X_2)) ) ).
fof(fact_379_mem__def,axiom,
! [X_2,A_75] :
( hBOOL(member1161907014t_char(X_2,A_75))
<=> hBOOL(hAPP_P1183499705r_bool(A_75,X_2)) ) ).
fof(fact_380_mem__def,axiom,
! [X_2,A_75] :
( hBOOL(member125098544t_char(X_2,A_75))
<=> hBOOL(hAPP_P1240100515r_bool(A_75,X_2)) ) ).
fof(fact_381_mem__def,axiom,
! [X_2,A_75] :
( hBOOL(member1420286996t_char(X_2,A_75))
<=> hBOOL(hAPP_P824029447r_bool(A_75,X_2)) ) ).
fof(fact_382_mem__def,axiom,
! [X_2,A_75] :
( hBOOL(member88670778on_val(X_2,A_75))
<=> hBOOL(hAPP_P2028072621l_bool(A_75,X_2)) ) ).
fof(fact_383_mem__def,axiom,
! [X_2,A_75] :
( hBOOL(member563141460on_val(X_2,A_75))
<=> hBOOL(hAPP_P1221872711l_bool(A_75,X_2)) ) ).
fof(fact_384_mem__def,axiom,
! [X_2,A_75] :
( hBOOL(member808015754on_val(X_2,A_75))
<=> hBOOL(hAPP_P378063101l_bool(A_75,X_2)) ) ).
fof(fact_385_mem__def,axiom,
! [X_2,A_75] :
( hBOOL(member773094996on_val(X_2,A_75))
<=> hBOOL(hAPP_P282169671l_bool(A_75,X_2)) ) ).
fof(fact_386_mem__def,axiom,
! [X_2,A_75] :
( hBOOL(member875476972on_val(X_2,A_75))
<=> hBOOL(hAPP_P1333315679l_bool(A_75,X_2)) ) ).
fof(fact_387_mem__def,axiom,
! [X_2,A_75] :
( hBOOL(member1251428284t_char(X_2,A_75))
<=> hBOOL(hAPP_P449474095r_bool(A_75,X_2)) ) ).
fof(fact_388_mem__def,axiom,
! [X_2,A_75] :
( hBOOL(member_list_char(X_2,A_75))
<=> hBOOL(hAPP_list_char_bool(A_75,X_2)) ) ).
fof(fact_389_mem__def,axiom,
! [X_2,A_75] :
( hBOOL(member_nat(X_2,A_75))
<=> hBOOL(hAPP_nat_bool(A_75,X_2)) ) ).
fof(fact_390_Collect__def,axiom,
! [Pa] : collect_ty(Pa) = Pa ).
fof(fact_391_exp_Osimps_I93_J,axiom,
! [Exp1_124,List_40,A_74,Exp2_124,Val_12] : tryCatch_list_char(Exp1_124,List_40,A_74,Exp2_124) != hAPP_v834067052t_char(val_list_char,Val_12) ).
fof(fact_392_exp_Osimps_I68_J,axiom,
! [List_39,Exp_115,Exp1_123,List_38,A_73,Exp2_123] : cast_list_char(List_39,Exp_115) != tryCatch_list_char(Exp1_123,List_38,A_73,Exp2_123) ).
fof(fact_393_exp_Osimps_I194_J,axiom,
! [Exp_114,List1_53,List2_53,Exp1_122,List_37,A_72,Exp2_122] : call_list_char(Exp_114,List1_53,List2_53) != tryCatch_list_char(Exp1_122,List_37,A_72,Exp2_122) ).
fof(fact_394_exp_Osimps_I218_J,axiom,
! [Exp1_121,Exp2_121,Exp3_13,Exp1_120,List_36,A_71,Exp2_120] : cond_list_char(Exp1_121,Exp2_121,Exp3_13) != tryCatch_list_char(Exp1_120,List_36,A_71,Exp2_120) ).
fof(fact_395_exp_Osimps_I168_J,axiom,
! [Exp_113,List1_52,List2_52,Exp1_119,List_35,A_70,Exp2_119] : fAcc_list_char(Exp_113,List1_52,List2_52) != tryCatch_list_char(Exp1_119,List_35,A_70,Exp2_119) ).
fof(fact_396_exp_Osimps_I114_J,axiom,
! [Exp1_118,Bop_14,Exp2_118,Exp1_117,List_34,A_69,Exp2_117] : binOp_list_char(Exp1_118,Bop_14,Exp2_118) != tryCatch_list_char(Exp1_117,List_34,A_69,Exp2_117) ).
fof(fact_397_exp_Osimps_I69_J,axiom,
! [Exp1_116,List_33,A_68,Exp2_116,List_32,Exp_112] : tryCatch_list_char(Exp1_116,List_33,A_68,Exp2_116) != cast_list_char(List_32,Exp_112) ).
fof(fact_398_exp_Osimps_I195_J,axiom,
! [Exp1_115,List_31,A_67,Exp2_115,Exp_111,List1_51,List2_51] : tryCatch_list_char(Exp1_115,List_31,A_67,Exp2_115) != call_list_char(Exp_111,List1_51,List2_51) ).
fof(fact_399_exp_Osimps_I219_J,axiom,
! [Exp1_114,List_30,A_66,Exp2_114,Exp1_113,Exp2_113,Exp3_12] : tryCatch_list_char(Exp1_114,List_30,A_66,Exp2_114) != cond_list_char(Exp1_113,Exp2_113,Exp3_12) ).
fof(fact_400_exp_Osimps_I169_J,axiom,
! [Exp1_112,List_29,A_65,Exp2_112,Exp_110,List1_50,List2_50] : tryCatch_list_char(Exp1_112,List_29,A_65,Exp2_112) != fAcc_list_char(Exp_110,List1_50,List2_50) ).
fof(fact_401_exp_Osimps_I115_J,axiom,
! [Exp1_111,List_28,A_64,Exp2_111,Exp1_110,Bop_13,Exp2_110] : tryCatch_list_char(Exp1_111,List_28,A_64,Exp2_111) != binOp_list_char(Exp1_110,Bop_13,Exp2_110) ).
fof(fact_402_red__reds_OBinOpRed2,axiom,
! [V_1_1,Bop,Ea,S_1,E_a,S,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),red(Pa)))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_1),Bop,Ea),S_1),produc1259058957on_val(binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_1),Bop,E_a),S)),red(Pa))) ) ).
fof(fact_403_red__reds_OListRed2,axiom,
! [V_1,Esa,S_1,Es_a,S,Pa] :
( hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(Esa,S_1),produc379668296on_val(Es_a,S)),reds(Pa)))
=> hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V_1),Esa),S_1),produc379668296on_val(cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V_1),Es_a),S)),reds(Pa))) ) ).
fof(fact_404_TryRedsVal,axiom,
! [C,V,E_2,Ea,S_1,V_1,S,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_1),S)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(tryCatch_list_char(Ea,C,V,E_2),S_1),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_1),S)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_405_BinOp2Reds,axiom,
! [V_1,Bop,Ea,S_1,E_a,S,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1),Bop,Ea),S_1),produc1259058957on_val(binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1),Bop,E_a),S)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_406_TryReds,axiom,
! [C,V,E_2,Ea,S_1,E_a,S,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(tryCatch_list_char(Ea,C,V,E_2),S_1),produc1259058957on_val(tryCatch_list_char(E_a,C,V,E_2),S)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_407_FAccReds,axiom,
! [F,D,Ea,S_1,E_a,S,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(fAcc_list_char(Ea,F,D),S_1),produc1259058957on_val(fAcc_list_char(E_a,F,D),S)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_408_CondReds,axiom,
! [E_1_1,E_2,Ea,S_1,E_a,S,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(cond_list_char(Ea,E_1_1,E_2),S_1),produc1259058957on_val(cond_list_char(E_a,E_1_1,E_2),S)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_409_CastReds,axiom,
! [C,Ea,S_1,E_a,S,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(cast_list_char(C,Ea),S_1),produc1259058957on_val(cast_list_char(C,E_a),S)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_410_BinOp1Reds,axiom,
! [Bop,E_2,Ea,S_1,E_a,S,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(binOp_list_char(Ea,Bop,E_2),S_1),produc1259058957on_val(binOp_list_char(E_a,Bop,E_2),S)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_411_CallRedsObj,axiom,
! [M,Esa,Ea,S_1,E_a,S,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(call_list_char(Ea,M,Esa),S_1),produc1259058957on_val(call_list_char(E_a,M,Esa),S)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_412_rtrancl_Ortrancl__refl,axiom,
! [A,R_1] : hBOOL(member1999287380t_char(produc1897818327t_char(A,A),transi198989188t_char(R_1))) ).
fof(fact_413_rtrancl_Ortrancl__refl,axiom,
! [A,R_1] : hBOOL(member794220506t_char(produc2080520419t_char(A,A),transi1095029602t_char(R_1))) ).
fof(fact_414_rtrancl_Ortrancl__refl,axiom,
! [A,R_1] : hBOOL(member1322055188on_val(produc499151895on_val(A,A),transi61620055on_val(R_1))) ).
fof(fact_415_rtrancl_Ortrancl__refl,axiom,
! [A,R_1] : hBOOL(member837208074al_val(produc1244920211al_val(A,A),transi1423755450al_val(R_1))) ).
fof(fact_416_rtrancl_Ortrancl__refl,axiom,
! [A,R_1] : hBOOL(member1732271180al_val(produc1924279125al_val(A,A),transi1906258203al_val(R_1))) ).
fof(fact_417_rtrancl_Ortrancl__refl,axiom,
! [A,R_1] : hBOOL(member1161907014t_char(produc1299387215t_char(A,A),transi1789604888t_char(R_1))) ).
fof(fact_418_rtrancl_Ortrancl__refl,axiom,
! [A,R_1] : hBOOL(member125098544t_char(produc57279289t_char(A,A),transi1257872013t_char(R_1))) ).
fof(fact_419_rtrancl_Ortrancl__refl,axiom,
! [A,R_1] : hBOOL(member1420286996t_char(produc24551831t_char(A,A),transi122195895t_char(R_1))) ).
fof(fact_420_rtrancl_Ortrancl__refl,axiom,
! [A,R_1] : hBOOL(member88670778on_val(produc1951691075on_val(A,A),transi208336786on_val(R_1))) ).
fof(fact_421_rtrancl_Ortrancl__refl,axiom,
! [A,R_1] : hBOOL(member563141460on_val(produc870913623on_val(A,A),transi921647814on_val(R_1))) ).
fof(fact_422_rtrancl_Ortrancl__refl,axiom,
! [A,R_1] : hBOOL(member808015754on_val(produc1564932627on_val(A,A),transi910771962on_val(R_1))) ).
fof(fact_423_rtrancl_Ortrancl__refl,axiom,
! [A,R_1] : hBOOL(member649088532al_val(product_Pair_val_val(A,A),transi935034983cl_val(R_1))) ).
fof(fact_424_rtrancl_Ortrancl__refl,axiom,
! [A,R_1] : hBOOL(member773094996on_val(produc1441475159on_val(A,A),transi2024712006on_val(R_1))) ).
fof(fact_425_rtrancl_Ortrancl__refl,axiom,
! [A,R_1] : hBOOL(member875476972on_val(produc1611380469on_val(A,A),transi374442731on_val(R_1))) ).
fof(fact_426_rtrancl_Ortrancl__refl,axiom,
! [A,R_1] : hBOOL(member1251428284t_char(produc5062597t_char(A,A),transi1395422419t_char(R_1))) ).
fof(fact_427_r__into__rtrancl,axiom,
! [P_1,R_1] :
( hBOOL(member649088532al_val(P_1,R_1))
=> hBOOL(member649088532al_val(P_1,transi935034983cl_val(R_1))) ) ).
fof(fact_428_r__into__rtrancl,axiom,
! [P_1,R_1] :
( hBOOL(member1999287380t_char(P_1,R_1))
=> hBOOL(member1999287380t_char(P_1,transi198989188t_char(R_1))) ) ).
fof(fact_429_r__into__rtrancl,axiom,
! [P_1,R_1] :
( hBOOL(member794220506t_char(P_1,R_1))
=> hBOOL(member794220506t_char(P_1,transi1095029602t_char(R_1))) ) ).
fof(fact_430_r__into__rtrancl,axiom,
! [P_1,R_1] :
( hBOOL(member1322055188on_val(P_1,R_1))
=> hBOOL(member1322055188on_val(P_1,transi61620055on_val(R_1))) ) ).
fof(fact_431_r__into__rtrancl,axiom,
! [P_1,R_1] :
( hBOOL(member837208074al_val(P_1,R_1))
=> hBOOL(member837208074al_val(P_1,transi1423755450al_val(R_1))) ) ).
fof(fact_432_r__into__rtrancl,axiom,
! [P_1,R_1] :
( hBOOL(member1732271180al_val(P_1,R_1))
=> hBOOL(member1732271180al_val(P_1,transi1906258203al_val(R_1))) ) ).
fof(fact_433_r__into__rtrancl,axiom,
! [P_1,R_1] :
( hBOOL(member1161907014t_char(P_1,R_1))
=> hBOOL(member1161907014t_char(P_1,transi1789604888t_char(R_1))) ) ).
fof(fact_434_r__into__rtrancl,axiom,
! [P_1,R_1] :
( hBOOL(member125098544t_char(P_1,R_1))
=> hBOOL(member125098544t_char(P_1,transi1257872013t_char(R_1))) ) ).
fof(fact_435_r__into__rtrancl,axiom,
! [P_1,R_1] :
( hBOOL(member1420286996t_char(P_1,R_1))
=> hBOOL(member1420286996t_char(P_1,transi122195895t_char(R_1))) ) ).
fof(fact_436_r__into__rtrancl,axiom,
! [P_1,R_1] :
( hBOOL(member88670778on_val(P_1,R_1))
=> hBOOL(member88670778on_val(P_1,transi208336786on_val(R_1))) ) ).
fof(fact_437_r__into__rtrancl,axiom,
! [P_1,R_1] :
( hBOOL(member563141460on_val(P_1,R_1))
=> hBOOL(member563141460on_val(P_1,transi921647814on_val(R_1))) ) ).
fof(fact_438_r__into__rtrancl,axiom,
! [P_1,R_1] :
( hBOOL(member808015754on_val(P_1,R_1))
=> hBOOL(member808015754on_val(P_1,transi910771962on_val(R_1))) ) ).
fof(fact_439_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_440_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_441_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_442_rtrancl__trans,axiom,
! [C_1,A,B,R_1] :
( hBOOL(member1999287380t_char(produc1897818327t_char(A,B),transi198989188t_char(R_1)))
=> ( hBOOL(member1999287380t_char(produc1897818327t_char(B,C_1),transi198989188t_char(R_1)))
=> hBOOL(member1999287380t_char(produc1897818327t_char(A,C_1),transi198989188t_char(R_1))) ) ) ).
fof(fact_443_rtrancl__trans,axiom,
! [C_1,A,B,R_1] :
( hBOOL(member794220506t_char(produc2080520419t_char(A,B),transi1095029602t_char(R_1)))
=> ( hBOOL(member794220506t_char(produc2080520419t_char(B,C_1),transi1095029602t_char(R_1)))
=> hBOOL(member794220506t_char(produc2080520419t_char(A,C_1),transi1095029602t_char(R_1))) ) ) ).
fof(fact_444_rtrancl__trans,axiom,
! [C_1,A,B,R_1] :
( hBOOL(member1322055188on_val(produc499151895on_val(A,B),transi61620055on_val(R_1)))
=> ( hBOOL(member1322055188on_val(produc499151895on_val(B,C_1),transi61620055on_val(R_1)))
=> hBOOL(member1322055188on_val(produc499151895on_val(A,C_1),transi61620055on_val(R_1))) ) ) ).
fof(fact_445_rtrancl__trans,axiom,
! [C_1,A,B,R_1] :
( hBOOL(member837208074al_val(produc1244920211al_val(A,B),transi1423755450al_val(R_1)))
=> ( hBOOL(member837208074al_val(produc1244920211al_val(B,C_1),transi1423755450al_val(R_1)))
=> hBOOL(member837208074al_val(produc1244920211al_val(A,C_1),transi1423755450al_val(R_1))) ) ) ).
fof(fact_446_rtrancl__trans,axiom,
! [C_1,A,B,R_1] :
( hBOOL(member1732271180al_val(produc1924279125al_val(A,B),transi1906258203al_val(R_1)))
=> ( hBOOL(member1732271180al_val(produc1924279125al_val(B,C_1),transi1906258203al_val(R_1)))
=> hBOOL(member1732271180al_val(produc1924279125al_val(A,C_1),transi1906258203al_val(R_1))) ) ) ).
fof(fact_447_rtrancl__trans,axiom,
! [C_1,A,B,R_1] :
( hBOOL(member1161907014t_char(produc1299387215t_char(A,B),transi1789604888t_char(R_1)))
=> ( hBOOL(member1161907014t_char(produc1299387215t_char(B,C_1),transi1789604888t_char(R_1)))
=> hBOOL(member1161907014t_char(produc1299387215t_char(A,C_1),transi1789604888t_char(R_1))) ) ) ).
fof(fact_448_rtrancl__trans,axiom,
! [C_1,A,B,R_1] :
( hBOOL(member125098544t_char(produc57279289t_char(A,B),transi1257872013t_char(R_1)))
=> ( hBOOL(member125098544t_char(produc57279289t_char(B,C_1),transi1257872013t_char(R_1)))
=> hBOOL(member125098544t_char(produc57279289t_char(A,C_1),transi1257872013t_char(R_1))) ) ) ).
fof(fact_449_rtrancl__trans,axiom,
! [C_1,A,B,R_1] :
( hBOOL(member1420286996t_char(produc24551831t_char(A,B),transi122195895t_char(R_1)))
=> ( hBOOL(member1420286996t_char(produc24551831t_char(B,C_1),transi122195895t_char(R_1)))
=> hBOOL(member1420286996t_char(produc24551831t_char(A,C_1),transi122195895t_char(R_1))) ) ) ).
fof(fact_450_rtrancl__trans,axiom,
! [C_1,A,B,R_1] :
( hBOOL(member88670778on_val(produc1951691075on_val(A,B),transi208336786on_val(R_1)))
=> ( hBOOL(member88670778on_val(produc1951691075on_val(B,C_1),transi208336786on_val(R_1)))
=> hBOOL(member88670778on_val(produc1951691075on_val(A,C_1),transi208336786on_val(R_1))) ) ) ).
fof(fact_451_rtrancl__trans,axiom,
! [C_1,A,B,R_1] :
( hBOOL(member563141460on_val(produc870913623on_val(A,B),transi921647814on_val(R_1)))
=> ( hBOOL(member563141460on_val(produc870913623on_val(B,C_1),transi921647814on_val(R_1)))
=> hBOOL(member563141460on_val(produc870913623on_val(A,C_1),transi921647814on_val(R_1))) ) ) ).
fof(fact_452_rtrancl__trans,axiom,
! [C_1,A,B,R_1] :
( hBOOL(member808015754on_val(produc1564932627on_val(A,B),transi910771962on_val(R_1)))
=> ( hBOOL(member808015754on_val(produc1564932627on_val(B,C_1),transi910771962on_val(R_1)))
=> hBOOL(member808015754on_val(produc1564932627on_val(A,C_1),transi910771962on_val(R_1))) ) ) ).
fof(fact_453_rtrancl__trans,axiom,
! [C_1,A,B,R_1] :
( hBOOL(member649088532al_val(product_Pair_val_val(A,B),transi935034983cl_val(R_1)))
=> ( hBOOL(member649088532al_val(product_Pair_val_val(B,C_1),transi935034983cl_val(R_1)))
=> hBOOL(member649088532al_val(product_Pair_val_val(A,C_1),transi935034983cl_val(R_1))) ) ) ).
fof(fact_454_rtrancl__trans,axiom,
! [C_1,A,B,R_1] :
( hBOOL(member773094996on_val(produc1441475159on_val(A,B),transi2024712006on_val(R_1)))
=> ( hBOOL(member773094996on_val(produc1441475159on_val(B,C_1),transi2024712006on_val(R_1)))
=> hBOOL(member773094996on_val(produc1441475159on_val(A,C_1),transi2024712006on_val(R_1))) ) ) ).
fof(fact_455_rtrancl__trans,axiom,
! [C_1,A,B,R_1] :
( hBOOL(member875476972on_val(produc1611380469on_val(A,B),transi374442731on_val(R_1)))
=> ( hBOOL(member875476972on_val(produc1611380469on_val(B,C_1),transi374442731on_val(R_1)))
=> hBOOL(member875476972on_val(produc1611380469on_val(A,C_1),transi374442731on_val(R_1))) ) ) ).
fof(fact_456_rtrancl__trans,axiom,
! [C_1,A,B,R_1] :
( hBOOL(member1251428284t_char(produc5062597t_char(A,B),transi1395422419t_char(R_1)))
=> ( hBOOL(member1251428284t_char(produc5062597t_char(B,C_1),transi1395422419t_char(R_1)))
=> hBOOL(member1251428284t_char(produc5062597t_char(A,C_1),transi1395422419t_char(R_1))) ) ) ).
fof(fact_457_rtrancl__idemp,axiom,
! [R_1] : transi935034983cl_val(transi935034983cl_val(R_1)) = transi935034983cl_val(R_1) ).
fof(fact_458_rtrancl__idemp,axiom,
! [R_1] : transi198989188t_char(transi198989188t_char(R_1)) = transi198989188t_char(R_1) ).
fof(fact_459_rtrancl__idemp,axiom,
! [R_1] : transi1095029602t_char(transi1095029602t_char(R_1)) = transi1095029602t_char(R_1) ).
fof(fact_460_rtrancl__idemp,axiom,
! [R_1] : transi61620055on_val(transi61620055on_val(R_1)) = transi61620055on_val(R_1) ).
fof(fact_461_rtrancl__idemp,axiom,
! [R_1] : transi1423755450al_val(transi1423755450al_val(R_1)) = transi1423755450al_val(R_1) ).
fof(fact_462_rtrancl__idemp,axiom,
! [R_1] : transi1906258203al_val(transi1906258203al_val(R_1)) = transi1906258203al_val(R_1) ).
fof(fact_463_rtrancl__idemp,axiom,
! [R_1] : transi1789604888t_char(transi1789604888t_char(R_1)) = transi1789604888t_char(R_1) ).
fof(fact_464_rtrancl__idemp,axiom,
! [R_1] : transi1257872013t_char(transi1257872013t_char(R_1)) = transi1257872013t_char(R_1) ).
fof(fact_465_rtrancl__idemp,axiom,
! [R_1] : transi122195895t_char(transi122195895t_char(R_1)) = transi122195895t_char(R_1) ).
fof(fact_466_rtrancl__idemp,axiom,
! [R_1] : transi208336786on_val(transi208336786on_val(R_1)) = transi208336786on_val(R_1) ).
fof(fact_467_rtrancl__idemp,axiom,
! [R_1] : transi921647814on_val(transi921647814on_val(R_1)) = transi921647814on_val(R_1) ).
fof(fact_468_rtrancl__idemp,axiom,
! [R_1] : transi910771962on_val(transi910771962on_val(R_1)) = transi910771962on_val(R_1) ).
fof(fact_469_rtrancl__idemp,axiom,
! [R_1] : transi2024712006on_val(transi2024712006on_val(R_1)) = transi2024712006on_val(R_1) ).
fof(fact_470_rtrancl__idemp,axiom,
! [R_1] : transi374442731on_val(transi374442731on_val(R_1)) = transi374442731on_val(R_1) ).
fof(fact_471_rtrancl__idemp,axiom,
! [R_1] : transi1395422419t_char(transi1395422419t_char(R_1)) = transi1395422419t_char(R_1) ).
fof(fact_472_ListReds2,axiom,
! [V_1,Esa,S_1,Es_a,S,Pa] :
( hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(Esa,S_1),produc379668296on_val(Es_a,S)),transi374442731on_val(reds(Pa))))
=> hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V_1),Esa),S_1),produc379668296on_val(cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V_1),Es_a),S)),transi374442731on_val(reds(Pa)))) ) ).
fof(fact_473_ListReds1,axiom,
! [Esa,Ea,S_1,E_a,S,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),transi2024712006on_val(red(Pa))))
=> hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(cons_exp_list_char(Ea,Esa),S_1),produc379668296on_val(cons_exp_list_char(E_a,Esa),S)),transi374442731on_val(reds(Pa)))) ) ).
fof(fact_474_ListRedsVal,axiom,
! [Esa,Es_a,S_2_1,Ea,S_0,V_1,S_1_1,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_0),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_1),S_1_1)),transi2024712006on_val(red(Pa))))
=> ( hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(Esa,S_1_1),produc379668296on_val(Es_a,S_2_1)),transi374442731on_val(reds(Pa))))
=> hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(cons_exp_list_char(Ea,Esa),S_0),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_475_CallRedsParams,axiom,
! [V_1,M,Esa,S_1,Es_a,S,Pa] :
( hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(Esa,S_1),produc379668296on_val(Es_a,S)),transi374442731on_val(reds(Pa))))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(call_list_char(hAPP_v834067052t_char(val_list_char,V_1),M,Esa),S_1),produc1259058957on_val(call_list_char(hAPP_v834067052t_char(val_list_char,V_1),M,Es_a),S)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_476_converse__rtrancl__into__rtrancl,axiom,
! [C_1,A,B,R_1] :
( hBOOL(member1999287380t_char(produc1897818327t_char(A,B),R_1))
=> ( hBOOL(member1999287380t_char(produc1897818327t_char(B,C_1),transi198989188t_char(R_1)))
=> hBOOL(member1999287380t_char(produc1897818327t_char(A,C_1),transi198989188t_char(R_1))) ) ) ).
fof(fact_477_converse__rtrancl__into__rtrancl,axiom,
! [C_1,A,B,R_1] :
( hBOOL(member794220506t_char(produc2080520419t_char(A,B),R_1))
=> ( hBOOL(member794220506t_char(produc2080520419t_char(B,C_1),transi1095029602t_char(R_1)))
=> hBOOL(member794220506t_char(produc2080520419t_char(A,C_1),transi1095029602t_char(R_1))) ) ) ).
fof(fact_478_converse__rtrancl__into__rtrancl,axiom,
! [C_1,A,B,R_1] :
( hBOOL(member1322055188on_val(produc499151895on_val(A,B),R_1))
=> ( hBOOL(member1322055188on_val(produc499151895on_val(B,C_1),transi61620055on_val(R_1)))
=> hBOOL(member1322055188on_val(produc499151895on_val(A,C_1),transi61620055on_val(R_1))) ) ) ).
fof(fact_479_converse__rtrancl__into__rtrancl,axiom,
! [C_1,A,B,R_1] :
( hBOOL(member837208074al_val(produc1244920211al_val(A,B),R_1))
=> ( hBOOL(member837208074al_val(produc1244920211al_val(B,C_1),transi1423755450al_val(R_1)))
=> hBOOL(member837208074al_val(produc1244920211al_val(A,C_1),transi1423755450al_val(R_1))) ) ) ).
fof(fact_480_converse__rtrancl__into__rtrancl,axiom,
! [C_1,A,B,R_1] :
( hBOOL(member1732271180al_val(produc1924279125al_val(A,B),R_1))
=> ( hBOOL(member1732271180al_val(produc1924279125al_val(B,C_1),transi1906258203al_val(R_1)))
=> hBOOL(member1732271180al_val(produc1924279125al_val(A,C_1),transi1906258203al_val(R_1))) ) ) ).
fof(fact_481_converse__rtrancl__into__rtrancl,axiom,
! [C_1,A,B,R_1] :
( hBOOL(member1161907014t_char(produc1299387215t_char(A,B),R_1))
=> ( hBOOL(member1161907014t_char(produc1299387215t_char(B,C_1),transi1789604888t_char(R_1)))
=> hBOOL(member1161907014t_char(produc1299387215t_char(A,C_1),transi1789604888t_char(R_1))) ) ) ).
fof(fact_482_converse__rtrancl__into__rtrancl,axiom,
! [C_1,A,B,R_1] :
( hBOOL(member125098544t_char(produc57279289t_char(A,B),R_1))
=> ( hBOOL(member125098544t_char(produc57279289t_char(B,C_1),transi1257872013t_char(R_1)))
=> hBOOL(member125098544t_char(produc57279289t_char(A,C_1),transi1257872013t_char(R_1))) ) ) ).
fof(fact_483_converse__rtrancl__into__rtrancl,axiom,
! [C_1,A,B,R_1] :
( hBOOL(member1420286996t_char(produc24551831t_char(A,B),R_1))
=> ( hBOOL(member1420286996t_char(produc24551831t_char(B,C_1),transi122195895t_char(R_1)))
=> hBOOL(member1420286996t_char(produc24551831t_char(A,C_1),transi122195895t_char(R_1))) ) ) ).
fof(fact_484_converse__rtrancl__into__rtrancl,axiom,
! [C_1,A,B,R_1] :
( hBOOL(member88670778on_val(produc1951691075on_val(A,B),R_1))
=> ( hBOOL(member88670778on_val(produc1951691075on_val(B,C_1),transi208336786on_val(R_1)))
=> hBOOL(member88670778on_val(produc1951691075on_val(A,C_1),transi208336786on_val(R_1))) ) ) ).
fof(fact_485_converse__rtrancl__into__rtrancl,axiom,
! [C_1,A,B,R_1] :
( hBOOL(member563141460on_val(produc870913623on_val(A,B),R_1))
=> ( hBOOL(member563141460on_val(produc870913623on_val(B,C_1),transi921647814on_val(R_1)))
=> hBOOL(member563141460on_val(produc870913623on_val(A,C_1),transi921647814on_val(R_1))) ) ) ).
fof(fact_486_converse__rtrancl__into__rtrancl,axiom,
! [C_1,A,B,R_1] :
( hBOOL(member808015754on_val(produc1564932627on_val(A,B),R_1))
=> ( hBOOL(member808015754on_val(produc1564932627on_val(B,C_1),transi910771962on_val(R_1)))
=> hBOOL(member808015754on_val(produc1564932627on_val(A,C_1),transi910771962on_val(R_1))) ) ) ).
fof(fact_487_converse__rtrancl__into__rtrancl,axiom,
! [C_1,A,B,R_1] :
( hBOOL(member649088532al_val(product_Pair_val_val(A,B),R_1))
=> ( hBOOL(member649088532al_val(product_Pair_val_val(B,C_1),transi935034983cl_val(R_1)))
=> hBOOL(member649088532al_val(product_Pair_val_val(A,C_1),transi935034983cl_val(R_1))) ) ) ).
fof(fact_488_converse__rtrancl__into__rtrancl,axiom,
! [C_1,A,B,R_1] :
( hBOOL(member773094996on_val(produc1441475159on_val(A,B),R_1))
=> ( hBOOL(member773094996on_val(produc1441475159on_val(B,C_1),transi2024712006on_val(R_1)))
=> hBOOL(member773094996on_val(produc1441475159on_val(A,C_1),transi2024712006on_val(R_1))) ) ) ).
fof(fact_489_converse__rtrancl__into__rtrancl,axiom,
! [C_1,A,B,R_1] :
( hBOOL(member875476972on_val(produc1611380469on_val(A,B),R_1))
=> ( hBOOL(member875476972on_val(produc1611380469on_val(B,C_1),transi374442731on_val(R_1)))
=> hBOOL(member875476972on_val(produc1611380469on_val(A,C_1),transi374442731on_val(R_1))) ) ) ).
fof(fact_490_converse__rtrancl__into__rtrancl,axiom,
! [C_1,A,B,R_1] :
( hBOOL(member1251428284t_char(produc5062597t_char(A,B),R_1))
=> ( hBOOL(member1251428284t_char(produc5062597t_char(B,C_1),transi1395422419t_char(R_1)))
=> hBOOL(member1251428284t_char(produc5062597t_char(A,C_1),transi1395422419t_char(R_1))) ) ) ).
fof(fact_491_rtrancl_Ortrancl__into__rtrancl,axiom,
! [C_1,A,B,R_1] :
( hBOOL(member1999287380t_char(produc1897818327t_char(A,B),transi198989188t_char(R_1)))
=> ( hBOOL(member1999287380t_char(produc1897818327t_char(B,C_1),R_1))
=> hBOOL(member1999287380t_char(produc1897818327t_char(A,C_1),transi198989188t_char(R_1))) ) ) ).
fof(fact_492_rtrancl_Ortrancl__into__rtrancl,axiom,
! [C_1,A,B,R_1] :
( hBOOL(member794220506t_char(produc2080520419t_char(A,B),transi1095029602t_char(R_1)))
=> ( hBOOL(member794220506t_char(produc2080520419t_char(B,C_1),R_1))
=> hBOOL(member794220506t_char(produc2080520419t_char(A,C_1),transi1095029602t_char(R_1))) ) ) ).
fof(fact_493_rtrancl_Ortrancl__into__rtrancl,axiom,
! [C_1,A,B,R_1] :
( hBOOL(member1322055188on_val(produc499151895on_val(A,B),transi61620055on_val(R_1)))
=> ( hBOOL(member1322055188on_val(produc499151895on_val(B,C_1),R_1))
=> hBOOL(member1322055188on_val(produc499151895on_val(A,C_1),transi61620055on_val(R_1))) ) ) ).
fof(fact_494_rtrancl_Ortrancl__into__rtrancl,axiom,
! [C_1,A,B,R_1] :
( hBOOL(member837208074al_val(produc1244920211al_val(A,B),transi1423755450al_val(R_1)))
=> ( hBOOL(member837208074al_val(produc1244920211al_val(B,C_1),R_1))
=> hBOOL(member837208074al_val(produc1244920211al_val(A,C_1),transi1423755450al_val(R_1))) ) ) ).
fof(fact_495_rtrancl_Ortrancl__into__rtrancl,axiom,
! [C_1,A,B,R_1] :
( hBOOL(member1732271180al_val(produc1924279125al_val(A,B),transi1906258203al_val(R_1)))
=> ( hBOOL(member1732271180al_val(produc1924279125al_val(B,C_1),R_1))
=> hBOOL(member1732271180al_val(produc1924279125al_val(A,C_1),transi1906258203al_val(R_1))) ) ) ).
fof(fact_496_rtrancl_Ortrancl__into__rtrancl,axiom,
! [C_1,A,B,R_1] :
( hBOOL(member1161907014t_char(produc1299387215t_char(A,B),transi1789604888t_char(R_1)))
=> ( hBOOL(member1161907014t_char(produc1299387215t_char(B,C_1),R_1))
=> hBOOL(member1161907014t_char(produc1299387215t_char(A,C_1),transi1789604888t_char(R_1))) ) ) ).
fof(fact_497_rtrancl_Ortrancl__into__rtrancl,axiom,
! [C_1,A,B,R_1] :
( hBOOL(member125098544t_char(produc57279289t_char(A,B),transi1257872013t_char(R_1)))
=> ( hBOOL(member125098544t_char(produc57279289t_char(B,C_1),R_1))
=> hBOOL(member125098544t_char(produc57279289t_char(A,C_1),transi1257872013t_char(R_1))) ) ) ).
fof(fact_498_rtrancl_Ortrancl__into__rtrancl,axiom,
! [C_1,A,B,R_1] :
( hBOOL(member1420286996t_char(produc24551831t_char(A,B),transi122195895t_char(R_1)))
=> ( hBOOL(member1420286996t_char(produc24551831t_char(B,C_1),R_1))
=> hBOOL(member1420286996t_char(produc24551831t_char(A,C_1),transi122195895t_char(R_1))) ) ) ).
fof(fact_499_rtrancl_Ortrancl__into__rtrancl,axiom,
! [C_1,A,B,R_1] :
( hBOOL(member88670778on_val(produc1951691075on_val(A,B),transi208336786on_val(R_1)))
=> ( hBOOL(member88670778on_val(produc1951691075on_val(B,C_1),R_1))
=> hBOOL(member88670778on_val(produc1951691075on_val(A,C_1),transi208336786on_val(R_1))) ) ) ).
fof(fact_500_rtrancl_Ortrancl__into__rtrancl,axiom,
! [C_1,A,B,R_1] :
( hBOOL(member563141460on_val(produc870913623on_val(A,B),transi921647814on_val(R_1)))
=> ( hBOOL(member563141460on_val(produc870913623on_val(B,C_1),R_1))
=> hBOOL(member563141460on_val(produc870913623on_val(A,C_1),transi921647814on_val(R_1))) ) ) ).
fof(fact_501_rtrancl_Ortrancl__into__rtrancl,axiom,
! [C_1,A,B,R_1] :
( hBOOL(member808015754on_val(produc1564932627on_val(A,B),transi910771962on_val(R_1)))
=> ( hBOOL(member808015754on_val(produc1564932627on_val(B,C_1),R_1))
=> hBOOL(member808015754on_val(produc1564932627on_val(A,C_1),transi910771962on_val(R_1))) ) ) ).
fof(fact_502_rtrancl_Ortrancl__into__rtrancl,axiom,
! [C_1,A,B,R_1] :
( hBOOL(member649088532al_val(product_Pair_val_val(A,B),transi935034983cl_val(R_1)))
=> ( hBOOL(member649088532al_val(product_Pair_val_val(B,C_1),R_1))
=> hBOOL(member649088532al_val(product_Pair_val_val(A,C_1),transi935034983cl_val(R_1))) ) ) ).
fof(fact_503_rtrancl_Ortrancl__into__rtrancl,axiom,
! [C_1,A,B,R_1] :
( hBOOL(member773094996on_val(produc1441475159on_val(A,B),transi2024712006on_val(R_1)))
=> ( hBOOL(member773094996on_val(produc1441475159on_val(B,C_1),R_1))
=> hBOOL(member773094996on_val(produc1441475159on_val(A,C_1),transi2024712006on_val(R_1))) ) ) ).
fof(fact_504_rtrancl_Ortrancl__into__rtrancl,axiom,
! [C_1,A,B,R_1] :
( hBOOL(member875476972on_val(produc1611380469on_val(A,B),transi374442731on_val(R_1)))
=> ( hBOOL(member875476972on_val(produc1611380469on_val(B,C_1),R_1))
=> hBOOL(member875476972on_val(produc1611380469on_val(A,C_1),transi374442731on_val(R_1))) ) ) ).
fof(fact_505_rtrancl_Ortrancl__into__rtrancl,axiom,
! [C_1,A,B,R_1] :
( hBOOL(member1251428284t_char(produc5062597t_char(A,B),transi1395422419t_char(R_1)))
=> ( hBOOL(member1251428284t_char(produc5062597t_char(B,C_1),R_1))
=> hBOOL(member1251428284t_char(produc5062597t_char(A,C_1),transi1395422419t_char(R_1))) ) ) ).
fof(fact_506_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(member1664419796har_ty(produc2038128087har_ty(produc1002914035har_ty(Ax,Ay),produc1002914035har_ty(Bx,By)),transi1158914604har_ty(R_1)))
=> ( hBOOL(hAPP_P748443392y_bool(hAPP_l1665608433y_bool(Pa,Ax),Ay))
=> ( ! [A_1,B_1,Aa,Ba] :
( hBOOL(member1664419796har_ty(produc2038128087har_ty(produc1002914035har_ty(Ax,Ay),produc1002914035har_ty(A_1,B_1)),transi1158914604har_ty(R_1)))
=> ( hBOOL(member1664419796har_ty(produc2038128087har_ty(produc1002914035har_ty(A_1,B_1),produc1002914035har_ty(Aa,Ba)),R_1))
=> ( hBOOL(hAPP_P748443392y_bool(hAPP_l1665608433y_bool(Pa,A_1),B_1))
=> hBOOL(hAPP_P748443392y_bool(hAPP_l1665608433y_bool(Pa,Aa),Ba)) ) ) )
=> hBOOL(hAPP_P748443392y_bool(hAPP_l1665608433y_bool(Pa,Bx),By)) ) ) ) ).
fof(fact_507_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(member1986596692har_ty(produc63273559har_ty(produc1265154397har_ty(Ax,Ay),produc1265154397har_ty(Bx,By)),transi935089046har_ty(R_1)))
=> ( hBOOL(hAPP_ty_bool(hAPP_P1845004857y_bool(Pa,Ax),Ay))
=> ( ! [A_1,B_1,Aa,Ba] :
( hBOOL(member1986596692har_ty(produc63273559har_ty(produc1265154397har_ty(Ax,Ay),produc1265154397har_ty(A_1,B_1)),transi935089046har_ty(R_1)))
=> ( hBOOL(member1986596692har_ty(produc63273559har_ty(produc1265154397har_ty(A_1,B_1),produc1265154397har_ty(Aa,Ba)),R_1))
=> ( hBOOL(hAPP_ty_bool(hAPP_P1845004857y_bool(Pa,A_1),B_1))
=> hBOOL(hAPP_ty_bool(hAPP_P1845004857y_bool(Pa,Aa),Ba)) ) ) )
=> hBOOL(hAPP_ty_bool(hAPP_P1845004857y_bool(Pa,Bx),By)) ) ) ) ).
fof(fact_508_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(member119266708har_ty(produc1414300567har_ty(produc251930284har_ty(Ax,Ay),produc251930284har_ty(Bx,By)),transi1325206117har_ty(R_1)))
=> ( hBOOL(hAPP_ty_bool(hAPP_l1734756650y_bool(Pa,Ax),Ay))
=> ( ! [A_1,B_1,Aa,Ba] :
( hBOOL(member119266708har_ty(produc1414300567har_ty(produc251930284har_ty(Ax,Ay),produc251930284har_ty(A_1,B_1)),transi1325206117har_ty(R_1)))
=> ( hBOOL(member119266708har_ty(produc1414300567har_ty(produc251930284har_ty(A_1,B_1),produc251930284har_ty(Aa,Ba)),R_1))
=> ( hBOOL(hAPP_ty_bool(hAPP_l1734756650y_bool(Pa,A_1),B_1))
=> hBOOL(hAPP_ty_bool(hAPP_l1734756650y_bool(Pa,Aa),Ba)) ) ) )
=> hBOOL(hAPP_ty_bool(hAPP_l1734756650y_bool(Pa,Bx),By)) ) ) ) ).
fof(fact_509_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(member902595210t_char(produc253822483t_char(produc1897818327t_char(Ax,Ay),produc1897818327t_char(Bx,By)),transi1630776058t_char(R_1)))
=> ( hBOOL(hAPP_P2014166431r_bool(hAPP_P1939418767r_bool(Pa,Ax),Ay))
=> ( ! [A_1,B_1,Aa,Ba] :
( hBOOL(member902595210t_char(produc253822483t_char(produc1897818327t_char(Ax,Ay),produc1897818327t_char(A_1,B_1)),transi1630776058t_char(R_1)))
=> ( hBOOL(member902595210t_char(produc253822483t_char(produc1897818327t_char(A_1,B_1),produc1897818327t_char(Aa,Ba)),R_1))
=> ( hBOOL(hAPP_P2014166431r_bool(hAPP_P1939418767r_bool(Pa,A_1),B_1))
=> hBOOL(hAPP_P2014166431r_bool(hAPP_P1939418767r_bool(Pa,Aa),Ba)) ) ) )
=> hBOOL(hAPP_P2014166431r_bool(hAPP_P1939418767r_bool(Pa,Bx),By)) ) ) ) ).
fof(fact_510_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(member1689070870t_char(produc354099231t_char(produc2080520419t_char(Ax,Ay),produc2080520419t_char(Bx,By)),transi15035776t_char(R_1)))
=> ( hBOOL(hAPP_P449474095r_bool(hAPP_P663876415r_bool(Pa,Ax),Ay))
=> ( ! [A_1,B_1,Aa,Ba] :
( hBOOL(member1689070870t_char(produc354099231t_char(produc2080520419t_char(Ax,Ay),produc2080520419t_char(A_1,B_1)),transi15035776t_char(R_1)))
=> ( hBOOL(member1689070870t_char(produc354099231t_char(produc2080520419t_char(A_1,B_1),produc2080520419t_char(Aa,Ba)),R_1))
=> ( hBOOL(hAPP_P449474095r_bool(hAPP_P663876415r_bool(Pa,A_1),B_1))
=> hBOOL(hAPP_P449474095r_bool(hAPP_P663876415r_bool(Pa,Aa),Ba)) ) ) )
=> hBOOL(hAPP_P449474095r_bool(hAPP_P663876415r_bool(Pa,Bx),By)) ) ) ) ).
fof(fact_511_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(member1114719754on_val(produc434506131on_val(produc499151895on_val(Ax,Ay),produc499151895on_val(Bx,By)),transi1953049786on_val(R_1)))
=> ( hBOOL(hAPP_P1235399154l_bool(hAPP_P416784693l_bool(Pa,Ax),Ay))
=> ( ! [A_1,B_1,Aa,Ba] :
( hBOOL(member1114719754on_val(produc434506131on_val(produc499151895on_val(Ax,Ay),produc499151895on_val(A_1,B_1)),transi1953049786on_val(R_1)))
=> ( hBOOL(member1114719754on_val(produc434506131on_val(produc499151895on_val(A_1,B_1),produc499151895on_val(Aa,Ba)),R_1))
=> ( hBOOL(hAPP_P1235399154l_bool(hAPP_P416784693l_bool(Pa,A_1),B_1))
=> hBOOL(hAPP_P1235399154l_bool(hAPP_P416784693l_bool(Pa,Aa),Ba)) ) ) )
=> hBOOL(hAPP_P1235399154l_bool(hAPP_P416784693l_bool(Pa,Bx),By)) ) ) ) ).
fof(fact_512_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(member384848502al_val(produc94135935al_val(produc1244920211al_val(Ax,Ay),produc1244920211al_val(Bx,By)),transi1927461808al_val(R_1)))
=> ( hBOOL(hAPP_P929938951l_bool(hAPP_P1815899455l_bool(Pa,Ax),Ay))
=> ( ! [A_1,B_1,Aa,Ba] :
( hBOOL(member384848502al_val(produc94135935al_val(produc1244920211al_val(Ax,Ay),produc1244920211al_val(A_1,B_1)),transi1927461808al_val(R_1)))
=> ( hBOOL(member384848502al_val(produc94135935al_val(produc1244920211al_val(A_1,B_1),produc1244920211al_val(Aa,Ba)),R_1))
=> ( hBOOL(hAPP_P929938951l_bool(hAPP_P1815899455l_bool(Pa,A_1),B_1))
=> hBOOL(hAPP_P929938951l_bool(hAPP_P1815899455l_bool(Pa,Aa),Ba)) ) ) )
=> hBOOL(hAPP_P929938951l_bool(hAPP_P1815899455l_bool(Pa,Bx),By)) ) ) ) ).
fof(fact_513_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(member23198458al_val(produc370870787al_val(produc1924279125al_val(Ax,Ay),produc1924279125al_val(Bx,By)),transi486718450al_val(R_1)))
=> ( hBOOL(hAPP_P943837928l_bool(hAPP_P323054207l_bool(Pa,Ax),Ay))
=> ( ! [A_1,B_1,Aa,Ba] :
( hBOOL(member23198458al_val(produc370870787al_val(produc1924279125al_val(Ax,Ay),produc1924279125al_val(A_1,B_1)),transi486718450al_val(R_1)))
=> ( hBOOL(member23198458al_val(produc370870787al_val(produc1924279125al_val(A_1,B_1),produc1924279125al_val(Aa,Ba)),R_1))
=> ( hBOOL(hAPP_P943837928l_bool(hAPP_P323054207l_bool(Pa,A_1),B_1))
=> hBOOL(hAPP_P943837928l_bool(hAPP_P323054207l_bool(Pa,Aa),Ba)) ) ) )
=> hBOOL(hAPP_P943837928l_bool(hAPP_P323054207l_bool(Pa,Bx),By)) ) ) ) ).
fof(fact_514_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(member1105423342t_char(produc627518711t_char(produc1299387215t_char(Ax,Ay),produc1299387215t_char(Bx,By)),transi1803333868t_char(R_1)))
=> ( hBOOL(hAPP_P2118621157r_bool(hAPP_P357098431r_bool(Pa,Ax),Ay))
=> ( ! [A_1,B_1,Aa,Ba] :
( hBOOL(member1105423342t_char(produc627518711t_char(produc1299387215t_char(Ax,Ay),produc1299387215t_char(A_1,B_1)),transi1803333868t_char(R_1)))
=> ( hBOOL(member1105423342t_char(produc627518711t_char(produc1299387215t_char(A_1,B_1),produc1299387215t_char(Aa,Ba)),R_1))
=> ( hBOOL(hAPP_P2118621157r_bool(hAPP_P357098431r_bool(Pa,A_1),B_1))
=> hBOOL(hAPP_P2118621157r_bool(hAPP_P357098431r_bool(Pa,Aa),Ba)) ) ) )
=> hBOOL(hAPP_P2118621157r_bool(hAPP_P357098431r_bool(Pa,Bx),By)) ) ) ) ).
fof(fact_515_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(member371591362t_char(produc913263563t_char(produc57279289t_char(Ax,Ay),produc57279289t_char(Bx,By)),transi1452021206t_char(R_1)))
=> ( hBOOL(hAPP_P1907982426r_bool(hAPP_P1214880255r_bool(Pa,Ax),Ay))
=> ( ! [A_1,B_1,Aa,Ba] :
( hBOOL(member371591362t_char(produc913263563t_char(produc57279289t_char(Ax,Ay),produc57279289t_char(A_1,B_1)),transi1452021206t_char(R_1)))
=> ( hBOOL(member371591362t_char(produc913263563t_char(produc57279289t_char(A_1,B_1),produc57279289t_char(Aa,Ba)),R_1))
=> ( hBOOL(hAPP_P1907982426r_bool(hAPP_P1214880255r_bool(Pa,A_1),B_1))
=> hBOOL(hAPP_P1907982426r_bool(hAPP_P1214880255r_bool(Pa,Aa),Ba)) ) ) )
=> hBOOL(hAPP_P1907982426r_bool(hAPP_P1214880255r_bool(Pa,Bx),By)) ) ) ) ).
fof(fact_516_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(member1934728458t_char(produc1288549779t_char(produc24551831t_char(Ax,Ay),produc24551831t_char(Bx,By)),transi2072254650t_char(R_1)))
=> ( hBOOL(hAPP_P92196306r_bool(hAPP_P1928969845r_bool(Pa,Ax),Ay))
=> ( ! [A_1,B_1,Aa,Ba] :
( hBOOL(member1934728458t_char(produc1288549779t_char(produc24551831t_char(Ax,Ay),produc24551831t_char(A_1,B_1)),transi2072254650t_char(R_1)))
=> ( hBOOL(member1934728458t_char(produc1288549779t_char(produc24551831t_char(A_1,B_1),produc24551831t_char(Aa,Ba)),R_1))
=> ( hBOOL(hAPP_P92196306r_bool(hAPP_P1928969845r_bool(Pa,A_1),B_1))
=> hBOOL(hAPP_P92196306r_bool(hAPP_P1928969845r_bool(Pa,Aa),Ba)) ) ) )
=> hBOOL(hAPP_P92196306r_bool(hAPP_P1928969845r_bool(Pa,Bx),By)) ) ) ) ).
fof(fact_517_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(member1837727190on_val(produc722767071on_val(produc1951691075on_val(Ax,Ay),produc1951691075on_val(Bx,By)),transi1751449568on_val(R_1)))
=> ( hBOOL(hAPP_P1333315679l_bool(hAPP_P220718911l_bool(Pa,Ax),Ay))
=> ( ! [A_1,B_1,Aa,Ba] :
( hBOOL(member1837727190on_val(produc722767071on_val(produc1951691075on_val(Ax,Ay),produc1951691075on_val(A_1,B_1)),transi1751449568on_val(R_1)))
=> ( hBOOL(member1837727190on_val(produc722767071on_val(produc1951691075on_val(A_1,B_1),produc1951691075on_val(Aa,Ba)),R_1))
=> ( hBOOL(hAPP_P1333315679l_bool(hAPP_P220718911l_bool(Pa,A_1),B_1))
=> hBOOL(hAPP_P1333315679l_bool(hAPP_P220718911l_bool(Pa,Aa),Ba)) ) ) )
=> hBOOL(hAPP_P1333315679l_bool(hAPP_P220718911l_bool(Pa,Bx),By)) ) ) ) ).
fof(fact_518_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(member2032527242on_val(produc935654419on_val(produc870913623on_val(Ax,Ay),produc870913623on_val(Bx,By)),transi594096122on_val(R_1)))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_P1988153107l_bool(Pa,Ax),Ay))
=> ( ! [A_1,B_1,Aa,Ba] :
( hBOOL(member2032527242on_val(produc935654419on_val(produc870913623on_val(Ax,Ay),produc870913623on_val(A_1,B_1)),transi594096122on_val(R_1)))
=> ( hBOOL(member2032527242on_val(produc935654419on_val(produc870913623on_val(A_1,B_1),produc870913623on_val(Aa,Ba)),R_1))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_P1988153107l_bool(Pa,A_1),B_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_P1988153107l_bool(Pa,Aa),Ba)) ) ) )
=> hBOOL(hAPP_P159683425l_bool(hAPP_P1988153107l_bool(Pa,Bx),By)) ) ) ) ).
fof(fact_519_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(member712690550on_val(produc1729053055on_val(produc1564932627on_val(Ax,Ay),produc1564932627on_val(Bx,By)),transi678815536on_val(R_1)))
=> ( hBOOL(hAPP_P282169671l_bool(hAPP_P2062527807l_bool(Pa,Ax),Ay))
=> ( ! [A_1,B_1,Aa,Ba] :
( hBOOL(member712690550on_val(produc1729053055on_val(produc1564932627on_val(Ax,Ay),produc1564932627on_val(A_1,B_1)),transi678815536on_val(R_1)))
=> ( hBOOL(member712690550on_val(produc1729053055on_val(produc1564932627on_val(A_1,B_1),produc1564932627on_val(Aa,Ba)),R_1))
=> ( hBOOL(hAPP_P282169671l_bool(hAPP_P2062527807l_bool(Pa,A_1),B_1))
=> hBOOL(hAPP_P282169671l_bool(hAPP_P2062527807l_bool(Pa,Aa),Ba)) ) ) )
=> hBOOL(hAPP_P282169671l_bool(hAPP_P2062527807l_bool(Pa,Bx),By)) ) ) ) ).
fof(fact_520_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(member808015754on_val(produc1564932627on_val(produc1441475159on_val(Ax,Ay),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(produc1564932627on_val(produc1441475159on_val(Ax,Ay),produc1441475159on_val(A_1,B_1)),transi910771962on_val(R_1)))
=> ( hBOOL(member808015754on_val(produc1564932627on_val(produc1441475159on_val(A_1,B_1),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_521_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(member563141460on_val(produc870913623on_val(produc899768717on_val(Ax,Ay),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(produc870913623on_val(produc899768717on_val(Ax,Ay),produc899768717on_val(A_1,B_1)),transi921647814on_val(R_1)))
=> ( hBOOL(member563141460on_val(produc870913623on_val(produc899768717on_val(A_1,B_1),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_522_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(member88670778on_val(produc1951691075on_val(produc1611380469on_val(Ax,Ay),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(produc1951691075on_val(produc1611380469on_val(Ax,Ay),produc1611380469on_val(A_1,B_1)),transi208336786on_val(R_1)))
=> ( hBOOL(member88670778on_val(produc1951691075on_val(produc1611380469on_val(A_1,B_1),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_523_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(member1420286996t_char(produc24551831t_char(produc921874948t_char(Ax,Ay),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(produc24551831t_char(produc921874948t_char(Ax,Ay),produc921874948t_char(A_1,B_1)),transi122195895t_char(R_1)))
=> ( hBOOL(member1420286996t_char(produc24551831t_char(produc921874948t_char(A_1,B_1),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_524_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(member125098544t_char(produc57279289t_char(produc1909267824t_char(Ax,Ay),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(produc57279289t_char(produc1909267824t_char(Ax,Ay),produc1909267824t_char(A_1,B_1)),transi1257872013t_char(R_1)))
=> ( hBOOL(member125098544t_char(produc57279289t_char(produc1909267824t_char(A_1,B_1),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_525_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(member1161907014t_char(produc1299387215t_char(produc1916172923t_char(Ax,Ay),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(produc1299387215t_char(produc1916172923t_char(Ax,Ay),produc1916172923t_char(A_1,B_1)),transi1789604888t_char(R_1)))
=> ( hBOOL(member1161907014t_char(produc1299387215t_char(produc1916172923t_char(A_1,B_1),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_526_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(member1732271180al_val(produc1924279125al_val(produc621191550al_val(Ax,Ay),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(produc1924279125al_val(produc621191550al_val(Ax,Ay),produc621191550al_val(A_1,B_1)),transi1906258203al_val(R_1)))
=> ( hBOOL(member1732271180al_val(produc1924279125al_val(produc621191550al_val(A_1,B_1),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_527_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(member837208074al_val(produc1244920211al_val(product_Pair_val_val(Ax,Ay),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(produc1244920211al_val(product_Pair_val_val(Ax,Ay),product_Pair_val_val(A_1,B_1)),transi1423755450al_val(R_1)))
=> ( hBOOL(member837208074al_val(produc1244920211al_val(product_Pair_val_val(A_1,B_1),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_528_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(member1322055188on_val(produc499151895on_val(produc823076510on_val(Ax,Ay),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(produc499151895on_val(produc823076510on_val(Ax,Ay),produc823076510on_val(A_1,B_1)),transi61620055on_val(R_1)))
=> ( hBOOL(member1322055188on_val(produc499151895on_val(produc823076510on_val(A_1,B_1),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_529_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(member794220506t_char(produc2080520419t_char(produc5062597t_char(Ax,Ay),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(produc2080520419t_char(produc5062597t_char(Ax,Ay),produc5062597t_char(A_1,B_1)),transi1095029602t_char(R_1)))
=> ( hBOOL(member794220506t_char(produc2080520419t_char(produc5062597t_char(A_1,B_1),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_530_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(member1999287380t_char(produc1897818327t_char(produc1147572817t_char(Ax,Ay),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(produc1897818327t_char(produc1147572817t_char(Ax,Ay),produc1147572817t_char(A_1,B_1)),transi198989188t_char(R_1)))
=> ( hBOOL(member1999287380t_char(produc1897818327t_char(produc1147572817t_char(A_1,B_1),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_531_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ax,Ay),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(produc1441475159on_val(produc1259058957on_val(Ax,Ay),produc1259058957on_val(A_1,B_1)),transi2024712006on_val(R_1)))
=> ( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(A_1,B_1),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_532_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(Ax,Ay),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(produc1611380469on_val(produc379668296on_val(Ax,Ay),produc379668296on_val(A_1,B_1)),transi374442731on_val(R_1)))
=> ( hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(A_1,B_1),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_533_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(member1664419796har_ty(produc2038128087har_ty(produc1002914035har_ty(Ax,Ay),produc1002914035har_ty(Bx,By)),transi1158914604har_ty(R_1)))
=> ( hBOOL(hAPP_P748443392y_bool(hAPP_l1665608433y_bool(Pa,Bx),By))
=> ( ! [A_1,B_1,Aa,Ba] :
( hBOOL(member1664419796har_ty(produc2038128087har_ty(produc1002914035har_ty(A_1,B_1),produc1002914035har_ty(Aa,Ba)),R_1))
=> ( hBOOL(member1664419796har_ty(produc2038128087har_ty(produc1002914035har_ty(Aa,Ba),produc1002914035har_ty(Bx,By)),transi1158914604har_ty(R_1)))
=> ( hBOOL(hAPP_P748443392y_bool(hAPP_l1665608433y_bool(Pa,Aa),Ba))
=> hBOOL(hAPP_P748443392y_bool(hAPP_l1665608433y_bool(Pa,A_1),B_1)) ) ) )
=> hBOOL(hAPP_P748443392y_bool(hAPP_l1665608433y_bool(Pa,Ax),Ay)) ) ) ) ).
fof(fact_534_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(member1986596692har_ty(produc63273559har_ty(produc1265154397har_ty(Ax,Ay),produc1265154397har_ty(Bx,By)),transi935089046har_ty(R_1)))
=> ( hBOOL(hAPP_ty_bool(hAPP_P1845004857y_bool(Pa,Bx),By))
=> ( ! [A_1,B_1,Aa,Ba] :
( hBOOL(member1986596692har_ty(produc63273559har_ty(produc1265154397har_ty(A_1,B_1),produc1265154397har_ty(Aa,Ba)),R_1))
=> ( hBOOL(member1986596692har_ty(produc63273559har_ty(produc1265154397har_ty(Aa,Ba),produc1265154397har_ty(Bx,By)),transi935089046har_ty(R_1)))
=> ( hBOOL(hAPP_ty_bool(hAPP_P1845004857y_bool(Pa,Aa),Ba))
=> hBOOL(hAPP_ty_bool(hAPP_P1845004857y_bool(Pa,A_1),B_1)) ) ) )
=> hBOOL(hAPP_ty_bool(hAPP_P1845004857y_bool(Pa,Ax),Ay)) ) ) ) ).
fof(fact_535_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(member119266708har_ty(produc1414300567har_ty(produc251930284har_ty(Ax,Ay),produc251930284har_ty(Bx,By)),transi1325206117har_ty(R_1)))
=> ( hBOOL(hAPP_ty_bool(hAPP_l1734756650y_bool(Pa,Bx),By))
=> ( ! [A_1,B_1,Aa,Ba] :
( hBOOL(member119266708har_ty(produc1414300567har_ty(produc251930284har_ty(A_1,B_1),produc251930284har_ty(Aa,Ba)),R_1))
=> ( hBOOL(member119266708har_ty(produc1414300567har_ty(produc251930284har_ty(Aa,Ba),produc251930284har_ty(Bx,By)),transi1325206117har_ty(R_1)))
=> ( hBOOL(hAPP_ty_bool(hAPP_l1734756650y_bool(Pa,Aa),Ba))
=> hBOOL(hAPP_ty_bool(hAPP_l1734756650y_bool(Pa,A_1),B_1)) ) ) )
=> hBOOL(hAPP_ty_bool(hAPP_l1734756650y_bool(Pa,Ax),Ay)) ) ) ) ).
fof(fact_536_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(member902595210t_char(produc253822483t_char(produc1897818327t_char(Ax,Ay),produc1897818327t_char(Bx,By)),transi1630776058t_char(R_1)))
=> ( hBOOL(hAPP_P2014166431r_bool(hAPP_P1939418767r_bool(Pa,Bx),By))
=> ( ! [A_1,B_1,Aa,Ba] :
( hBOOL(member902595210t_char(produc253822483t_char(produc1897818327t_char(A_1,B_1),produc1897818327t_char(Aa,Ba)),R_1))
=> ( hBOOL(member902595210t_char(produc253822483t_char(produc1897818327t_char(Aa,Ba),produc1897818327t_char(Bx,By)),transi1630776058t_char(R_1)))
=> ( hBOOL(hAPP_P2014166431r_bool(hAPP_P1939418767r_bool(Pa,Aa),Ba))
=> hBOOL(hAPP_P2014166431r_bool(hAPP_P1939418767r_bool(Pa,A_1),B_1)) ) ) )
=> hBOOL(hAPP_P2014166431r_bool(hAPP_P1939418767r_bool(Pa,Ax),Ay)) ) ) ) ).
fof(fact_537_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(member1689070870t_char(produc354099231t_char(produc2080520419t_char(Ax,Ay),produc2080520419t_char(Bx,By)),transi15035776t_char(R_1)))
=> ( hBOOL(hAPP_P449474095r_bool(hAPP_P663876415r_bool(Pa,Bx),By))
=> ( ! [A_1,B_1,Aa,Ba] :
( hBOOL(member1689070870t_char(produc354099231t_char(produc2080520419t_char(A_1,B_1),produc2080520419t_char(Aa,Ba)),R_1))
=> ( hBOOL(member1689070870t_char(produc354099231t_char(produc2080520419t_char(Aa,Ba),produc2080520419t_char(Bx,By)),transi15035776t_char(R_1)))
=> ( hBOOL(hAPP_P449474095r_bool(hAPP_P663876415r_bool(Pa,Aa),Ba))
=> hBOOL(hAPP_P449474095r_bool(hAPP_P663876415r_bool(Pa,A_1),B_1)) ) ) )
=> hBOOL(hAPP_P449474095r_bool(hAPP_P663876415r_bool(Pa,Ax),Ay)) ) ) ) ).
fof(fact_538_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(member1114719754on_val(produc434506131on_val(produc499151895on_val(Ax,Ay),produc499151895on_val(Bx,By)),transi1953049786on_val(R_1)))
=> ( hBOOL(hAPP_P1235399154l_bool(hAPP_P416784693l_bool(Pa,Bx),By))
=> ( ! [A_1,B_1,Aa,Ba] :
( hBOOL(member1114719754on_val(produc434506131on_val(produc499151895on_val(A_1,B_1),produc499151895on_val(Aa,Ba)),R_1))
=> ( hBOOL(member1114719754on_val(produc434506131on_val(produc499151895on_val(Aa,Ba),produc499151895on_val(Bx,By)),transi1953049786on_val(R_1)))
=> ( hBOOL(hAPP_P1235399154l_bool(hAPP_P416784693l_bool(Pa,Aa),Ba))
=> hBOOL(hAPP_P1235399154l_bool(hAPP_P416784693l_bool(Pa,A_1),B_1)) ) ) )
=> hBOOL(hAPP_P1235399154l_bool(hAPP_P416784693l_bool(Pa,Ax),Ay)) ) ) ) ).
fof(fact_539_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(member384848502al_val(produc94135935al_val(produc1244920211al_val(Ax,Ay),produc1244920211al_val(Bx,By)),transi1927461808al_val(R_1)))
=> ( hBOOL(hAPP_P929938951l_bool(hAPP_P1815899455l_bool(Pa,Bx),By))
=> ( ! [A_1,B_1,Aa,Ba] :
( hBOOL(member384848502al_val(produc94135935al_val(produc1244920211al_val(A_1,B_1),produc1244920211al_val(Aa,Ba)),R_1))
=> ( hBOOL(member384848502al_val(produc94135935al_val(produc1244920211al_val(Aa,Ba),produc1244920211al_val(Bx,By)),transi1927461808al_val(R_1)))
=> ( hBOOL(hAPP_P929938951l_bool(hAPP_P1815899455l_bool(Pa,Aa),Ba))
=> hBOOL(hAPP_P929938951l_bool(hAPP_P1815899455l_bool(Pa,A_1),B_1)) ) ) )
=> hBOOL(hAPP_P929938951l_bool(hAPP_P1815899455l_bool(Pa,Ax),Ay)) ) ) ) ).
fof(fact_540_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(member23198458al_val(produc370870787al_val(produc1924279125al_val(Ax,Ay),produc1924279125al_val(Bx,By)),transi486718450al_val(R_1)))
=> ( hBOOL(hAPP_P943837928l_bool(hAPP_P323054207l_bool(Pa,Bx),By))
=> ( ! [A_1,B_1,Aa,Ba] :
( hBOOL(member23198458al_val(produc370870787al_val(produc1924279125al_val(A_1,B_1),produc1924279125al_val(Aa,Ba)),R_1))
=> ( hBOOL(member23198458al_val(produc370870787al_val(produc1924279125al_val(Aa,Ba),produc1924279125al_val(Bx,By)),transi486718450al_val(R_1)))
=> ( hBOOL(hAPP_P943837928l_bool(hAPP_P323054207l_bool(Pa,Aa),Ba))
=> hBOOL(hAPP_P943837928l_bool(hAPP_P323054207l_bool(Pa,A_1),B_1)) ) ) )
=> hBOOL(hAPP_P943837928l_bool(hAPP_P323054207l_bool(Pa,Ax),Ay)) ) ) ) ).
fof(fact_541_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(member1105423342t_char(produc627518711t_char(produc1299387215t_char(Ax,Ay),produc1299387215t_char(Bx,By)),transi1803333868t_char(R_1)))
=> ( hBOOL(hAPP_P2118621157r_bool(hAPP_P357098431r_bool(Pa,Bx),By))
=> ( ! [A_1,B_1,Aa,Ba] :
( hBOOL(member1105423342t_char(produc627518711t_char(produc1299387215t_char(A_1,B_1),produc1299387215t_char(Aa,Ba)),R_1))
=> ( hBOOL(member1105423342t_char(produc627518711t_char(produc1299387215t_char(Aa,Ba),produc1299387215t_char(Bx,By)),transi1803333868t_char(R_1)))
=> ( hBOOL(hAPP_P2118621157r_bool(hAPP_P357098431r_bool(Pa,Aa),Ba))
=> hBOOL(hAPP_P2118621157r_bool(hAPP_P357098431r_bool(Pa,A_1),B_1)) ) ) )
=> hBOOL(hAPP_P2118621157r_bool(hAPP_P357098431r_bool(Pa,Ax),Ay)) ) ) ) ).
fof(fact_542_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(member371591362t_char(produc913263563t_char(produc57279289t_char(Ax,Ay),produc57279289t_char(Bx,By)),transi1452021206t_char(R_1)))
=> ( hBOOL(hAPP_P1907982426r_bool(hAPP_P1214880255r_bool(Pa,Bx),By))
=> ( ! [A_1,B_1,Aa,Ba] :
( hBOOL(member371591362t_char(produc913263563t_char(produc57279289t_char(A_1,B_1),produc57279289t_char(Aa,Ba)),R_1))
=> ( hBOOL(member371591362t_char(produc913263563t_char(produc57279289t_char(Aa,Ba),produc57279289t_char(Bx,By)),transi1452021206t_char(R_1)))
=> ( hBOOL(hAPP_P1907982426r_bool(hAPP_P1214880255r_bool(Pa,Aa),Ba))
=> hBOOL(hAPP_P1907982426r_bool(hAPP_P1214880255r_bool(Pa,A_1),B_1)) ) ) )
=> hBOOL(hAPP_P1907982426r_bool(hAPP_P1214880255r_bool(Pa,Ax),Ay)) ) ) ) ).
fof(fact_543_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(member1934728458t_char(produc1288549779t_char(produc24551831t_char(Ax,Ay),produc24551831t_char(Bx,By)),transi2072254650t_char(R_1)))
=> ( hBOOL(hAPP_P92196306r_bool(hAPP_P1928969845r_bool(Pa,Bx),By))
=> ( ! [A_1,B_1,Aa,Ba] :
( hBOOL(member1934728458t_char(produc1288549779t_char(produc24551831t_char(A_1,B_1),produc24551831t_char(Aa,Ba)),R_1))
=> ( hBOOL(member1934728458t_char(produc1288549779t_char(produc24551831t_char(Aa,Ba),produc24551831t_char(Bx,By)),transi2072254650t_char(R_1)))
=> ( hBOOL(hAPP_P92196306r_bool(hAPP_P1928969845r_bool(Pa,Aa),Ba))
=> hBOOL(hAPP_P92196306r_bool(hAPP_P1928969845r_bool(Pa,A_1),B_1)) ) ) )
=> hBOOL(hAPP_P92196306r_bool(hAPP_P1928969845r_bool(Pa,Ax),Ay)) ) ) ) ).
fof(fact_544_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(member1837727190on_val(produc722767071on_val(produc1951691075on_val(Ax,Ay),produc1951691075on_val(Bx,By)),transi1751449568on_val(R_1)))
=> ( hBOOL(hAPP_P1333315679l_bool(hAPP_P220718911l_bool(Pa,Bx),By))
=> ( ! [A_1,B_1,Aa,Ba] :
( hBOOL(member1837727190on_val(produc722767071on_val(produc1951691075on_val(A_1,B_1),produc1951691075on_val(Aa,Ba)),R_1))
=> ( hBOOL(member1837727190on_val(produc722767071on_val(produc1951691075on_val(Aa,Ba),produc1951691075on_val(Bx,By)),transi1751449568on_val(R_1)))
=> ( hBOOL(hAPP_P1333315679l_bool(hAPP_P220718911l_bool(Pa,Aa),Ba))
=> hBOOL(hAPP_P1333315679l_bool(hAPP_P220718911l_bool(Pa,A_1),B_1)) ) ) )
=> hBOOL(hAPP_P1333315679l_bool(hAPP_P220718911l_bool(Pa,Ax),Ay)) ) ) ) ).
fof(fact_545_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(member2032527242on_val(produc935654419on_val(produc870913623on_val(Ax,Ay),produc870913623on_val(Bx,By)),transi594096122on_val(R_1)))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_P1988153107l_bool(Pa,Bx),By))
=> ( ! [A_1,B_1,Aa,Ba] :
( hBOOL(member2032527242on_val(produc935654419on_val(produc870913623on_val(A_1,B_1),produc870913623on_val(Aa,Ba)),R_1))
=> ( hBOOL(member2032527242on_val(produc935654419on_val(produc870913623on_val(Aa,Ba),produc870913623on_val(Bx,By)),transi594096122on_val(R_1)))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_P1988153107l_bool(Pa,Aa),Ba))
=> hBOOL(hAPP_P159683425l_bool(hAPP_P1988153107l_bool(Pa,A_1),B_1)) ) ) )
=> hBOOL(hAPP_P159683425l_bool(hAPP_P1988153107l_bool(Pa,Ax),Ay)) ) ) ) ).
fof(fact_546_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(member712690550on_val(produc1729053055on_val(produc1564932627on_val(Ax,Ay),produc1564932627on_val(Bx,By)),transi678815536on_val(R_1)))
=> ( hBOOL(hAPP_P282169671l_bool(hAPP_P2062527807l_bool(Pa,Bx),By))
=> ( ! [A_1,B_1,Aa,Ba] :
( hBOOL(member712690550on_val(produc1729053055on_val(produc1564932627on_val(A_1,B_1),produc1564932627on_val(Aa,Ba)),R_1))
=> ( hBOOL(member712690550on_val(produc1729053055on_val(produc1564932627on_val(Aa,Ba),produc1564932627on_val(Bx,By)),transi678815536on_val(R_1)))
=> ( hBOOL(hAPP_P282169671l_bool(hAPP_P2062527807l_bool(Pa,Aa),Ba))
=> hBOOL(hAPP_P282169671l_bool(hAPP_P2062527807l_bool(Pa,A_1),B_1)) ) ) )
=> hBOOL(hAPP_P282169671l_bool(hAPP_P2062527807l_bool(Pa,Ax),Ay)) ) ) ) ).
fof(fact_547_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(member808015754on_val(produc1564932627on_val(produc1441475159on_val(Ax,Ay),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(produc1564932627on_val(produc1441475159on_val(A_1,B_1),produc1441475159on_val(Aa,Ba)),R_1))
=> ( hBOOL(member808015754on_val(produc1564932627on_val(produc1441475159on_val(Aa,Ba),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_548_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(member563141460on_val(produc870913623on_val(produc899768717on_val(Ax,Ay),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(produc870913623on_val(produc899768717on_val(A_1,B_1),produc899768717on_val(Aa,Ba)),R_1))
=> ( hBOOL(member563141460on_val(produc870913623on_val(produc899768717on_val(Aa,Ba),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_549_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(member88670778on_val(produc1951691075on_val(produc1611380469on_val(Ax,Ay),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(produc1951691075on_val(produc1611380469on_val(A_1,B_1),produc1611380469on_val(Aa,Ba)),R_1))
=> ( hBOOL(member88670778on_val(produc1951691075on_val(produc1611380469on_val(Aa,Ba),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_550_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(member1420286996t_char(produc24551831t_char(produc921874948t_char(Ax,Ay),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(produc24551831t_char(produc921874948t_char(A_1,B_1),produc921874948t_char(Aa,Ba)),R_1))
=> ( hBOOL(member1420286996t_char(produc24551831t_char(produc921874948t_char(Aa,Ba),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_551_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(member125098544t_char(produc57279289t_char(produc1909267824t_char(Ax,Ay),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(produc57279289t_char(produc1909267824t_char(A_1,B_1),produc1909267824t_char(Aa,Ba)),R_1))
=> ( hBOOL(member125098544t_char(produc57279289t_char(produc1909267824t_char(Aa,Ba),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_552_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(member1161907014t_char(produc1299387215t_char(produc1916172923t_char(Ax,Ay),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(produc1299387215t_char(produc1916172923t_char(A_1,B_1),produc1916172923t_char(Aa,Ba)),R_1))
=> ( hBOOL(member1161907014t_char(produc1299387215t_char(produc1916172923t_char(Aa,Ba),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_553_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(member1732271180al_val(produc1924279125al_val(produc621191550al_val(Ax,Ay),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(produc1924279125al_val(produc621191550al_val(A_1,B_1),produc621191550al_val(Aa,Ba)),R_1))
=> ( hBOOL(member1732271180al_val(produc1924279125al_val(produc621191550al_val(Aa,Ba),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_554_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(member837208074al_val(produc1244920211al_val(product_Pair_val_val(Ax,Ay),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(produc1244920211al_val(product_Pair_val_val(A_1,B_1),product_Pair_val_val(Aa,Ba)),R_1))
=> ( hBOOL(member837208074al_val(produc1244920211al_val(product_Pair_val_val(Aa,Ba),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_555_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(member1322055188on_val(produc499151895on_val(produc823076510on_val(Ax,Ay),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(produc499151895on_val(produc823076510on_val(A_1,B_1),produc823076510on_val(Aa,Ba)),R_1))
=> ( hBOOL(member1322055188on_val(produc499151895on_val(produc823076510on_val(Aa,Ba),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_556_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(member794220506t_char(produc2080520419t_char(produc5062597t_char(Ax,Ay),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(produc2080520419t_char(produc5062597t_char(A_1,B_1),produc5062597t_char(Aa,Ba)),R_1))
=> ( hBOOL(member794220506t_char(produc2080520419t_char(produc5062597t_char(Aa,Ba),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_557_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(member1999287380t_char(produc1897818327t_char(produc1147572817t_char(Ax,Ay),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(produc1897818327t_char(produc1147572817t_char(A_1,B_1),produc1147572817t_char(Aa,Ba)),R_1))
=> ( hBOOL(member1999287380t_char(produc1897818327t_char(produc1147572817t_char(Aa,Ba),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_558_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ax,Ay),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(produc1441475159on_val(produc1259058957on_val(A_1,B_1),produc1259058957on_val(Aa,Ba)),R_1))
=> ( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Aa,Ba),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_559_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R_1] :
( hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(Ax,Ay),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(produc1611380469on_val(produc379668296on_val(A_1,B_1),produc379668296on_val(Aa,Ba)),R_1))
=> ( hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(Aa,Ba),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_560_converse__rtranclE2,axiom,
! [Xa_1,Xb_1,Za,Zb,R_1] :
( hBOOL(member1664419796har_ty(produc2038128087har_ty(produc1002914035har_ty(Xa_1,Xb_1),produc1002914035har_ty(Za,Zb)),transi1158914604har_ty(R_1)))
=> ( produc1002914035har_ty(Xa_1,Xb_1) != produc1002914035har_ty(Za,Zb)
=> ~ ! [A_1,B_1] :
( hBOOL(member1664419796har_ty(produc2038128087har_ty(produc1002914035har_ty(Xa_1,Xb_1),produc1002914035har_ty(A_1,B_1)),R_1))
=> ~ hBOOL(member1664419796har_ty(produc2038128087har_ty(produc1002914035har_ty(A_1,B_1),produc1002914035har_ty(Za,Zb)),transi1158914604har_ty(R_1))) ) ) ) ).
fof(fact_561_converse__rtranclE2,axiom,
! [Xa_1,Xb_1,Za,Zb,R_1] :
( hBOOL(member1986596692har_ty(produc63273559har_ty(produc1265154397har_ty(Xa_1,Xb_1),produc1265154397har_ty(Za,Zb)),transi935089046har_ty(R_1)))
=> ( produc1265154397har_ty(Xa_1,Xb_1) != produc1265154397har_ty(Za,Zb)
=> ~ ! [A_1,B_1] :
( hBOOL(member1986596692har_ty(produc63273559har_ty(produc1265154397har_ty(Xa_1,Xb_1),produc1265154397har_ty(A_1,B_1)),R_1))
=> ~ hBOOL(member1986596692har_ty(produc63273559har_ty(produc1265154397har_ty(A_1,B_1),produc1265154397har_ty(Za,Zb)),transi935089046har_ty(R_1))) ) ) ) ).
fof(fact_562_converse__rtranclE2,axiom,
! [Xa_1,Xb_1,Za,Zb,R_1] :
( hBOOL(member119266708har_ty(produc1414300567har_ty(produc251930284har_ty(Xa_1,Xb_1),produc251930284har_ty(Za,Zb)),transi1325206117har_ty(R_1)))
=> ( produc251930284har_ty(Xa_1,Xb_1) != produc251930284har_ty(Za,Zb)
=> ~ ! [A_1,B_1] :
( hBOOL(member119266708har_ty(produc1414300567har_ty(produc251930284har_ty(Xa_1,Xb_1),produc251930284har_ty(A_1,B_1)),R_1))
=> ~ hBOOL(member119266708har_ty(produc1414300567har_ty(produc251930284har_ty(A_1,B_1),produc251930284har_ty(Za,Zb)),transi1325206117har_ty(R_1))) ) ) ) ).
fof(fact_563_converse__rtranclE2,axiom,
! [Xa_1,Xb_1,Za,Zb,R_1] :
( hBOOL(member902595210t_char(produc253822483t_char(produc1897818327t_char(Xa_1,Xb_1),produc1897818327t_char(Za,Zb)),transi1630776058t_char(R_1)))
=> ( produc1897818327t_char(Xa_1,Xb_1) != produc1897818327t_char(Za,Zb)
=> ~ ! [A_1,B_1] :
( hBOOL(member902595210t_char(produc253822483t_char(produc1897818327t_char(Xa_1,Xb_1),produc1897818327t_char(A_1,B_1)),R_1))
=> ~ hBOOL(member902595210t_char(produc253822483t_char(produc1897818327t_char(A_1,B_1),produc1897818327t_char(Za,Zb)),transi1630776058t_char(R_1))) ) ) ) ).
fof(fact_564_converse__rtranclE2,axiom,
! [Xa_1,Xb_1,Za,Zb,R_1] :
( hBOOL(member1689070870t_char(produc354099231t_char(produc2080520419t_char(Xa_1,Xb_1),produc2080520419t_char(Za,Zb)),transi15035776t_char(R_1)))
=> ( produc2080520419t_char(Xa_1,Xb_1) != produc2080520419t_char(Za,Zb)
=> ~ ! [A_1,B_1] :
( hBOOL(member1689070870t_char(produc354099231t_char(produc2080520419t_char(Xa_1,Xb_1),produc2080520419t_char(A_1,B_1)),R_1))
=> ~ hBOOL(member1689070870t_char(produc354099231t_char(produc2080520419t_char(A_1,B_1),produc2080520419t_char(Za,Zb)),transi15035776t_char(R_1))) ) ) ) ).
fof(fact_565_converse__rtranclE2,axiom,
! [Xa_1,Xb_1,Za,Zb,R_1] :
( hBOOL(member1114719754on_val(produc434506131on_val(produc499151895on_val(Xa_1,Xb_1),produc499151895on_val(Za,Zb)),transi1953049786on_val(R_1)))
=> ( produc499151895on_val(Xa_1,Xb_1) != produc499151895on_val(Za,Zb)
=> ~ ! [A_1,B_1] :
( hBOOL(member1114719754on_val(produc434506131on_val(produc499151895on_val(Xa_1,Xb_1),produc499151895on_val(A_1,B_1)),R_1))
=> ~ hBOOL(member1114719754on_val(produc434506131on_val(produc499151895on_val(A_1,B_1),produc499151895on_val(Za,Zb)),transi1953049786on_val(R_1))) ) ) ) ).
fof(fact_566_converse__rtranclE2,axiom,
! [Xa_1,Xb_1,Za,Zb,R_1] :
( hBOOL(member384848502al_val(produc94135935al_val(produc1244920211al_val(Xa_1,Xb_1),produc1244920211al_val(Za,Zb)),transi1927461808al_val(R_1)))
=> ( produc1244920211al_val(Xa_1,Xb_1) != produc1244920211al_val(Za,Zb)
=> ~ ! [A_1,B_1] :
( hBOOL(member384848502al_val(produc94135935al_val(produc1244920211al_val(Xa_1,Xb_1),produc1244920211al_val(A_1,B_1)),R_1))
=> ~ hBOOL(member384848502al_val(produc94135935al_val(produc1244920211al_val(A_1,B_1),produc1244920211al_val(Za,Zb)),transi1927461808al_val(R_1))) ) ) ) ).
fof(fact_567_converse__rtranclE2,axiom,
! [Xa_1,Xb_1,Za,Zb,R_1] :
( hBOOL(member23198458al_val(produc370870787al_val(produc1924279125al_val(Xa_1,Xb_1),produc1924279125al_val(Za,Zb)),transi486718450al_val(R_1)))
=> ( produc1924279125al_val(Xa_1,Xb_1) != produc1924279125al_val(Za,Zb)
=> ~ ! [A_1,B_1] :
( hBOOL(member23198458al_val(produc370870787al_val(produc1924279125al_val(Xa_1,Xb_1),produc1924279125al_val(A_1,B_1)),R_1))
=> ~ hBOOL(member23198458al_val(produc370870787al_val(produc1924279125al_val(A_1,B_1),produc1924279125al_val(Za,Zb)),transi486718450al_val(R_1))) ) ) ) ).
fof(fact_568_converse__rtranclE2,axiom,
! [Xa_1,Xb_1,Za,Zb,R_1] :
( hBOOL(member1105423342t_char(produc627518711t_char(produc1299387215t_char(Xa_1,Xb_1),produc1299387215t_char(Za,Zb)),transi1803333868t_char(R_1)))
=> ( produc1299387215t_char(Xa_1,Xb_1) != produc1299387215t_char(Za,Zb)
=> ~ ! [A_1,B_1] :
( hBOOL(member1105423342t_char(produc627518711t_char(produc1299387215t_char(Xa_1,Xb_1),produc1299387215t_char(A_1,B_1)),R_1))
=> ~ hBOOL(member1105423342t_char(produc627518711t_char(produc1299387215t_char(A_1,B_1),produc1299387215t_char(Za,Zb)),transi1803333868t_char(R_1))) ) ) ) ).
fof(fact_569_converse__rtranclE2,axiom,
! [Xa_1,Xb_1,Za,Zb,R_1] :
( hBOOL(member371591362t_char(produc913263563t_char(produc57279289t_char(Xa_1,Xb_1),produc57279289t_char(Za,Zb)),transi1452021206t_char(R_1)))
=> ( produc57279289t_char(Xa_1,Xb_1) != produc57279289t_char(Za,Zb)
=> ~ ! [A_1,B_1] :
( hBOOL(member371591362t_char(produc913263563t_char(produc57279289t_char(Xa_1,Xb_1),produc57279289t_char(A_1,B_1)),R_1))
=> ~ hBOOL(member371591362t_char(produc913263563t_char(produc57279289t_char(A_1,B_1),produc57279289t_char(Za,Zb)),transi1452021206t_char(R_1))) ) ) ) ).
fof(fact_570_converse__rtranclE2,axiom,
! [Xa_1,Xb_1,Za,Zb,R_1] :
( hBOOL(member1934728458t_char(produc1288549779t_char(produc24551831t_char(Xa_1,Xb_1),produc24551831t_char(Za,Zb)),transi2072254650t_char(R_1)))
=> ( produc24551831t_char(Xa_1,Xb_1) != produc24551831t_char(Za,Zb)
=> ~ ! [A_1,B_1] :
( hBOOL(member1934728458t_char(produc1288549779t_char(produc24551831t_char(Xa_1,Xb_1),produc24551831t_char(A_1,B_1)),R_1))
=> ~ hBOOL(member1934728458t_char(produc1288549779t_char(produc24551831t_char(A_1,B_1),produc24551831t_char(Za,Zb)),transi2072254650t_char(R_1))) ) ) ) ).
fof(fact_571_converse__rtranclE2,axiom,
! [Xa_1,Xb_1,Za,Zb,R_1] :
( hBOOL(member1837727190on_val(produc722767071on_val(produc1951691075on_val(Xa_1,Xb_1),produc1951691075on_val(Za,Zb)),transi1751449568on_val(R_1)))
=> ( produc1951691075on_val(Xa_1,Xb_1) != produc1951691075on_val(Za,Zb)
=> ~ ! [A_1,B_1] :
( hBOOL(member1837727190on_val(produc722767071on_val(produc1951691075on_val(Xa_1,Xb_1),produc1951691075on_val(A_1,B_1)),R_1))
=> ~ hBOOL(member1837727190on_val(produc722767071on_val(produc1951691075on_val(A_1,B_1),produc1951691075on_val(Za,Zb)),transi1751449568on_val(R_1))) ) ) ) ).
fof(fact_572_converse__rtranclE2,axiom,
! [Xa_1,Xb_1,Za,Zb,R_1] :
( hBOOL(member2032527242on_val(produc935654419on_val(produc870913623on_val(Xa_1,Xb_1),produc870913623on_val(Za,Zb)),transi594096122on_val(R_1)))
=> ( produc870913623on_val(Xa_1,Xb_1) != produc870913623on_val(Za,Zb)
=> ~ ! [A_1,B_1] :
( hBOOL(member2032527242on_val(produc935654419on_val(produc870913623on_val(Xa_1,Xb_1),produc870913623on_val(A_1,B_1)),R_1))
=> ~ hBOOL(member2032527242on_val(produc935654419on_val(produc870913623on_val(A_1,B_1),produc870913623on_val(Za,Zb)),transi594096122on_val(R_1))) ) ) ) ).
fof(fact_573_converse__rtranclE2,axiom,
! [Xa_1,Xb_1,Za,Zb,R_1] :
( hBOOL(member712690550on_val(produc1729053055on_val(produc1564932627on_val(Xa_1,Xb_1),produc1564932627on_val(Za,Zb)),transi678815536on_val(R_1)))
=> ( produc1564932627on_val(Xa_1,Xb_1) != produc1564932627on_val(Za,Zb)
=> ~ ! [A_1,B_1] :
( hBOOL(member712690550on_val(produc1729053055on_val(produc1564932627on_val(Xa_1,Xb_1),produc1564932627on_val(A_1,B_1)),R_1))
=> ~ hBOOL(member712690550on_val(produc1729053055on_val(produc1564932627on_val(A_1,B_1),produc1564932627on_val(Za,Zb)),transi678815536on_val(R_1))) ) ) ) ).
fof(fact_574_converse__rtranclE2,axiom,
! [Xa_1,Xb_1,Za,Zb,R_1] :
( hBOOL(member808015754on_val(produc1564932627on_val(produc1441475159on_val(Xa_1,Xb_1),produc1441475159on_val(Za,Zb)),transi910771962on_val(R_1)))
=> ( produc1441475159on_val(Xa_1,Xb_1) != produc1441475159on_val(Za,Zb)
=> ~ ! [A_1,B_1] :
( hBOOL(member808015754on_val(produc1564932627on_val(produc1441475159on_val(Xa_1,Xb_1),produc1441475159on_val(A_1,B_1)),R_1))
=> ~ hBOOL(member808015754on_val(produc1564932627on_val(produc1441475159on_val(A_1,B_1),produc1441475159on_val(Za,Zb)),transi910771962on_val(R_1))) ) ) ) ).
fof(fact_575_converse__rtranclE2,axiom,
! [Xa_1,Xb_1,Za,Zb,R_1] :
( hBOOL(member563141460on_val(produc870913623on_val(produc899768717on_val(Xa_1,Xb_1),produc899768717on_val(Za,Zb)),transi921647814on_val(R_1)))
=> ( produc899768717on_val(Xa_1,Xb_1) != produc899768717on_val(Za,Zb)
=> ~ ! [A_1,B_1] :
( hBOOL(member563141460on_val(produc870913623on_val(produc899768717on_val(Xa_1,Xb_1),produc899768717on_val(A_1,B_1)),R_1))
=> ~ hBOOL(member563141460on_val(produc870913623on_val(produc899768717on_val(A_1,B_1),produc899768717on_val(Za,Zb)),transi921647814on_val(R_1))) ) ) ) ).
fof(fact_576_converse__rtranclE2,axiom,
! [Xa_1,Xb_1,Za,Zb,R_1] :
( hBOOL(member88670778on_val(produc1951691075on_val(produc1611380469on_val(Xa_1,Xb_1),produc1611380469on_val(Za,Zb)),transi208336786on_val(R_1)))
=> ( produc1611380469on_val(Xa_1,Xb_1) != produc1611380469on_val(Za,Zb)
=> ~ ! [A_1,B_1] :
( hBOOL(member88670778on_val(produc1951691075on_val(produc1611380469on_val(Xa_1,Xb_1),produc1611380469on_val(A_1,B_1)),R_1))
=> ~ hBOOL(member88670778on_val(produc1951691075on_val(produc1611380469on_val(A_1,B_1),produc1611380469on_val(Za,Zb)),transi208336786on_val(R_1))) ) ) ) ).
fof(fact_577_converse__rtranclE2,axiom,
! [Xa_1,Xb_1,Za,Zb,R_1] :
( hBOOL(member1420286996t_char(produc24551831t_char(produc921874948t_char(Xa_1,Xb_1),produc921874948t_char(Za,Zb)),transi122195895t_char(R_1)))
=> ( produc921874948t_char(Xa_1,Xb_1) != produc921874948t_char(Za,Zb)
=> ~ ! [A_1,B_1] :
( hBOOL(member1420286996t_char(produc24551831t_char(produc921874948t_char(Xa_1,Xb_1),produc921874948t_char(A_1,B_1)),R_1))
=> ~ hBOOL(member1420286996t_char(produc24551831t_char(produc921874948t_char(A_1,B_1),produc921874948t_char(Za,Zb)),transi122195895t_char(R_1))) ) ) ) ).
fof(fact_578_converse__rtranclE2,axiom,
! [Xa_1,Xb_1,Za,Zb,R_1] :
( hBOOL(member125098544t_char(produc57279289t_char(produc1909267824t_char(Xa_1,Xb_1),produc1909267824t_char(Za,Zb)),transi1257872013t_char(R_1)))
=> ( produc1909267824t_char(Xa_1,Xb_1) != produc1909267824t_char(Za,Zb)
=> ~ ! [A_1,B_1] :
( hBOOL(member125098544t_char(produc57279289t_char(produc1909267824t_char(Xa_1,Xb_1),produc1909267824t_char(A_1,B_1)),R_1))
=> ~ hBOOL(member125098544t_char(produc57279289t_char(produc1909267824t_char(A_1,B_1),produc1909267824t_char(Za,Zb)),transi1257872013t_char(R_1))) ) ) ) ).
fof(fact_579_converse__rtranclE2,axiom,
! [Xa_1,Xb_1,Za,Zb,R_1] :
( hBOOL(member1161907014t_char(produc1299387215t_char(produc1916172923t_char(Xa_1,Xb_1),produc1916172923t_char(Za,Zb)),transi1789604888t_char(R_1)))
=> ( produc1916172923t_char(Xa_1,Xb_1) != produc1916172923t_char(Za,Zb)
=> ~ ! [A_1,B_1] :
( hBOOL(member1161907014t_char(produc1299387215t_char(produc1916172923t_char(Xa_1,Xb_1),produc1916172923t_char(A_1,B_1)),R_1))
=> ~ hBOOL(member1161907014t_char(produc1299387215t_char(produc1916172923t_char(A_1,B_1),produc1916172923t_char(Za,Zb)),transi1789604888t_char(R_1))) ) ) ) ).
fof(fact_580_converse__rtranclE2,axiom,
! [Xa_1,Xb_1,Za,Zb,R_1] :
( hBOOL(member1732271180al_val(produc1924279125al_val(produc621191550al_val(Xa_1,Xb_1),produc621191550al_val(Za,Zb)),transi1906258203al_val(R_1)))
=> ( produc621191550al_val(Xa_1,Xb_1) != produc621191550al_val(Za,Zb)
=> ~ ! [A_1,B_1] :
( is_bop(A_1)
=> ( hBOOL(member1732271180al_val(produc1924279125al_val(produc621191550al_val(Xa_1,Xb_1),produc621191550al_val(A_1,B_1)),R_1))
=> ~ hBOOL(member1732271180al_val(produc1924279125al_val(produc621191550al_val(A_1,B_1),produc621191550al_val(Za,Zb)),transi1906258203al_val(R_1))) ) ) ) ) ).
fof(fact_581_converse__rtranclE2,axiom,
! [Xa_1,Xb_1,Za,Zb,R_1] :
( hBOOL(member837208074al_val(produc1244920211al_val(product_Pair_val_val(Xa_1,Xb_1),product_Pair_val_val(Za,Zb)),transi1423755450al_val(R_1)))
=> ( product_Pair_val_val(Xa_1,Xb_1) != product_Pair_val_val(Za,Zb)
=> ~ ! [A_1,B_1] :
( hBOOL(member837208074al_val(produc1244920211al_val(product_Pair_val_val(Xa_1,Xb_1),product_Pair_val_val(A_1,B_1)),R_1))
=> ~ hBOOL(member837208074al_val(produc1244920211al_val(product_Pair_val_val(A_1,B_1),product_Pair_val_val(Za,Zb)),transi1423755450al_val(R_1))) ) ) ) ).
fof(fact_582_converse__rtranclE2,axiom,
! [Xa_1,Xb_1,Za,Zb,R_1] :
( hBOOL(member1322055188on_val(produc499151895on_val(produc823076510on_val(Xa_1,Xb_1),produc823076510on_val(Za,Zb)),transi61620055on_val(R_1)))
=> ( produc823076510on_val(Xa_1,Xb_1) != produc823076510on_val(Za,Zb)
=> ~ ! [A_1,B_1] :
( hBOOL(member1322055188on_val(produc499151895on_val(produc823076510on_val(Xa_1,Xb_1),produc823076510on_val(A_1,B_1)),R_1))
=> ~ hBOOL(member1322055188on_val(produc499151895on_val(produc823076510on_val(A_1,B_1),produc823076510on_val(Za,Zb)),transi61620055on_val(R_1))) ) ) ) ).
fof(fact_583_converse__rtranclE2,axiom,
! [Xa_1,Xb_1,Za,Zb,R_1] :
( hBOOL(member794220506t_char(produc2080520419t_char(produc5062597t_char(Xa_1,Xb_1),produc5062597t_char(Za,Zb)),transi1095029602t_char(R_1)))
=> ( produc5062597t_char(Xa_1,Xb_1) != produc5062597t_char(Za,Zb)
=> ~ ! [A_1,B_1] :
( hBOOL(member794220506t_char(produc2080520419t_char(produc5062597t_char(Xa_1,Xb_1),produc5062597t_char(A_1,B_1)),R_1))
=> ~ hBOOL(member794220506t_char(produc2080520419t_char(produc5062597t_char(A_1,B_1),produc5062597t_char(Za,Zb)),transi1095029602t_char(R_1))) ) ) ) ).
fof(fact_584_converse__rtranclE2,axiom,
! [Xa_1,Xb_1,Za,Zb,R_1] :
( hBOOL(member1999287380t_char(produc1897818327t_char(produc1147572817t_char(Xa_1,Xb_1),produc1147572817t_char(Za,Zb)),transi198989188t_char(R_1)))
=> ( produc1147572817t_char(Xa_1,Xb_1) != produc1147572817t_char(Za,Zb)
=> ~ ! [A_1,B_1] :
( hBOOL(member1999287380t_char(produc1897818327t_char(produc1147572817t_char(Xa_1,Xb_1),produc1147572817t_char(A_1,B_1)),R_1))
=> ~ hBOOL(member1999287380t_char(produc1897818327t_char(produc1147572817t_char(A_1,B_1),produc1147572817t_char(Za,Zb)),transi198989188t_char(R_1))) ) ) ) ).
fof(fact_585_converse__rtranclE2,axiom,
! [Xa_1,Xb_1,Za,Zb,R_1] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Xa_1,Xb_1),produc1259058957on_val(Za,Zb)),transi2024712006on_val(R_1)))
=> ( produc1259058957on_val(Xa_1,Xb_1) != produc1259058957on_val(Za,Zb)
=> ~ ! [A_1,B_1] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Xa_1,Xb_1),produc1259058957on_val(A_1,B_1)),R_1))
=> ~ hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(A_1,B_1),produc1259058957on_val(Za,Zb)),transi2024712006on_val(R_1))) ) ) ) ).
fof(fact_586_converse__rtranclE2,axiom,
! [Xa_1,Xb_1,Za,Zb,R_1] :
( hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(Xa_1,Xb_1),produc379668296on_val(Za,Zb)),transi374442731on_val(R_1)))
=> ( produc379668296on_val(Xa_1,Xb_1) != produc379668296on_val(Za,Zb)
=> ~ ! [A_1,B_1] :
( hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(Xa_1,Xb_1),produc379668296on_val(A_1,B_1)),R_1))
=> ~ hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(A_1,B_1),produc379668296on_val(Za,Zb)),transi374442731on_val(R_1))) ) ) ) ).
fof(fact_587_rtrancl__induct,axiom,
! [Pa,A,B,R_1] :
( hBOOL(member1999287380t_char(produc1897818327t_char(A,B),transi198989188t_char(R_1)))
=> ( hBOOL(hAPP_P2014166431r_bool(Pa,A))
=> ( ! [Y_2,Z] :
( hBOOL(member1999287380t_char(produc1897818327t_char(A,Y_2),transi198989188t_char(R_1)))
=> ( hBOOL(member1999287380t_char(produc1897818327t_char(Y_2,Z),R_1))
=> ( hBOOL(hAPP_P2014166431r_bool(Pa,Y_2))
=> hBOOL(hAPP_P2014166431r_bool(Pa,Z)) ) ) )
=> hBOOL(hAPP_P2014166431r_bool(Pa,B)) ) ) ) ).
fof(fact_588_rtrancl__induct,axiom,
! [Pa,A,B,R_1] :
( hBOOL(member794220506t_char(produc2080520419t_char(A,B),transi1095029602t_char(R_1)))
=> ( hBOOL(hAPP_P449474095r_bool(Pa,A))
=> ( ! [Y_2,Z] :
( hBOOL(member794220506t_char(produc2080520419t_char(A,Y_2),transi1095029602t_char(R_1)))
=> ( hBOOL(member794220506t_char(produc2080520419t_char(Y_2,Z),R_1))
=> ( hBOOL(hAPP_P449474095r_bool(Pa,Y_2))
=> hBOOL(hAPP_P449474095r_bool(Pa,Z)) ) ) )
=> hBOOL(hAPP_P449474095r_bool(Pa,B)) ) ) ) ).
fof(fact_589_rtrancl__induct,axiom,
! [Pa,A,B,R_1] :
( hBOOL(member1322055188on_val(produc499151895on_val(A,B),transi61620055on_val(R_1)))
=> ( hBOOL(hAPP_P1235399154l_bool(Pa,A))
=> ( ! [Y_2,Z] :
( hBOOL(member1322055188on_val(produc499151895on_val(A,Y_2),transi61620055on_val(R_1)))
=> ( hBOOL(member1322055188on_val(produc499151895on_val(Y_2,Z),R_1))
=> ( hBOOL(hAPP_P1235399154l_bool(Pa,Y_2))
=> hBOOL(hAPP_P1235399154l_bool(Pa,Z)) ) ) )
=> hBOOL(hAPP_P1235399154l_bool(Pa,B)) ) ) ) ).
fof(fact_590_rtrancl__induct,axiom,
! [Pa,A,B,R_1] :
( hBOOL(member837208074al_val(produc1244920211al_val(A,B),transi1423755450al_val(R_1)))
=> ( hBOOL(hAPP_P929938951l_bool(Pa,A))
=> ( ! [Y_2,Z] :
( hBOOL(member837208074al_val(produc1244920211al_val(A,Y_2),transi1423755450al_val(R_1)))
=> ( hBOOL(member837208074al_val(produc1244920211al_val(Y_2,Z),R_1))
=> ( hBOOL(hAPP_P929938951l_bool(Pa,Y_2))
=> hBOOL(hAPP_P929938951l_bool(Pa,Z)) ) ) )
=> hBOOL(hAPP_P929938951l_bool(Pa,B)) ) ) ) ).
fof(fact_591_rtrancl__induct,axiom,
! [Pa,A,B,R_1] :
( hBOOL(member1732271180al_val(produc1924279125al_val(A,B),transi1906258203al_val(R_1)))
=> ( hBOOL(hAPP_P943837928l_bool(Pa,A))
=> ( ! [Y_2,Z] :
( hBOOL(member1732271180al_val(produc1924279125al_val(A,Y_2),transi1906258203al_val(R_1)))
=> ( hBOOL(member1732271180al_val(produc1924279125al_val(Y_2,Z),R_1))
=> ( hBOOL(hAPP_P943837928l_bool(Pa,Y_2))
=> hBOOL(hAPP_P943837928l_bool(Pa,Z)) ) ) )
=> hBOOL(hAPP_P943837928l_bool(Pa,B)) ) ) ) ).
fof(fact_592_rtrancl__induct,axiom,
! [Pa,A,B,R_1] :
( hBOOL(member1161907014t_char(produc1299387215t_char(A,B),transi1789604888t_char(R_1)))
=> ( hBOOL(hAPP_P2118621157r_bool(Pa,A))
=> ( ! [Y_2,Z] :
( hBOOL(member1161907014t_char(produc1299387215t_char(A,Y_2),transi1789604888t_char(R_1)))
=> ( hBOOL(member1161907014t_char(produc1299387215t_char(Y_2,Z),R_1))
=> ( hBOOL(hAPP_P2118621157r_bool(Pa,Y_2))
=> hBOOL(hAPP_P2118621157r_bool(Pa,Z)) ) ) )
=> hBOOL(hAPP_P2118621157r_bool(Pa,B)) ) ) ) ).
fof(fact_593_rtrancl__induct,axiom,
! [Pa,A,B,R_1] :
( hBOOL(member125098544t_char(produc57279289t_char(A,B),transi1257872013t_char(R_1)))
=> ( hBOOL(hAPP_P1907982426r_bool(Pa,A))
=> ( ! [Y_2,Z] :
( hBOOL(member125098544t_char(produc57279289t_char(A,Y_2),transi1257872013t_char(R_1)))
=> ( hBOOL(member125098544t_char(produc57279289t_char(Y_2,Z),R_1))
=> ( hBOOL(hAPP_P1907982426r_bool(Pa,Y_2))
=> hBOOL(hAPP_P1907982426r_bool(Pa,Z)) ) ) )
=> hBOOL(hAPP_P1907982426r_bool(Pa,B)) ) ) ) ).
fof(fact_594_rtrancl__induct,axiom,
! [Pa,A,B,R_1] :
( hBOOL(member1420286996t_char(produc24551831t_char(A,B),transi122195895t_char(R_1)))
=> ( hBOOL(hAPP_P92196306r_bool(Pa,A))
=> ( ! [Y_2,Z] :
( hBOOL(member1420286996t_char(produc24551831t_char(A,Y_2),transi122195895t_char(R_1)))
=> ( hBOOL(member1420286996t_char(produc24551831t_char(Y_2,Z),R_1))
=> ( hBOOL(hAPP_P92196306r_bool(Pa,Y_2))
=> hBOOL(hAPP_P92196306r_bool(Pa,Z)) ) ) )
=> hBOOL(hAPP_P92196306r_bool(Pa,B)) ) ) ) ).
fof(fact_595_rtrancl__induct,axiom,
! [Pa,A,B,R_1] :
( hBOOL(member88670778on_val(produc1951691075on_val(A,B),transi208336786on_val(R_1)))
=> ( hBOOL(hAPP_P1333315679l_bool(Pa,A))
=> ( ! [Y_2,Z] :
( hBOOL(member88670778on_val(produc1951691075on_val(A,Y_2),transi208336786on_val(R_1)))
=> ( hBOOL(member88670778on_val(produc1951691075on_val(Y_2,Z),R_1))
=> ( hBOOL(hAPP_P1333315679l_bool(Pa,Y_2))
=> hBOOL(hAPP_P1333315679l_bool(Pa,Z)) ) ) )
=> hBOOL(hAPP_P1333315679l_bool(Pa,B)) ) ) ) ).
fof(fact_596_rtrancl__induct,axiom,
! [Pa,A,B,R_1] :
( hBOOL(member563141460on_val(produc870913623on_val(A,B),transi921647814on_val(R_1)))
=> ( hBOOL(hAPP_P159683425l_bool(Pa,A))
=> ( ! [Y_2,Z] :
( hBOOL(member563141460on_val(produc870913623on_val(A,Y_2),transi921647814on_val(R_1)))
=> ( hBOOL(member563141460on_val(produc870913623on_val(Y_2,Z),R_1))
=> ( hBOOL(hAPP_P159683425l_bool(Pa,Y_2))
=> hBOOL(hAPP_P159683425l_bool(Pa,Z)) ) ) )
=> hBOOL(hAPP_P159683425l_bool(Pa,B)) ) ) ) ).
fof(fact_597_rtrancl__induct,axiom,
! [Pa,A,B,R_1] :
( hBOOL(member808015754on_val(produc1564932627on_val(A,B),transi910771962on_val(R_1)))
=> ( hBOOL(hAPP_P282169671l_bool(Pa,A))
=> ( ! [Y_2,Z] :
( hBOOL(member808015754on_val(produc1564932627on_val(A,Y_2),transi910771962on_val(R_1)))
=> ( hBOOL(member808015754on_val(produc1564932627on_val(Y_2,Z),R_1))
=> ( hBOOL(hAPP_P282169671l_bool(Pa,Y_2))
=> hBOOL(hAPP_P282169671l_bool(Pa,Z)) ) ) )
=> hBOOL(hAPP_P282169671l_bool(Pa,B)) ) ) ) ).
fof(fact_598_rtrancl__induct,axiom,
! [Pa,A,B,R_1] :
( hBOOL(member649088532al_val(product_Pair_val_val(A,B),transi935034983cl_val(R_1)))
=> ( hBOOL(hAPP_val_bool(Pa,A))
=> ( ! [Y_2,Z] :
( hBOOL(member649088532al_val(product_Pair_val_val(A,Y_2),transi935034983cl_val(R_1)))
=> ( hBOOL(member649088532al_val(product_Pair_val_val(Y_2,Z),R_1))
=> ( hBOOL(hAPP_val_bool(Pa,Y_2))
=> hBOOL(hAPP_val_bool(Pa,Z)) ) ) )
=> hBOOL(hAPP_val_bool(Pa,B)) ) ) ) ).
fof(fact_599_rtrancl__induct,axiom,
! [Pa,A,B,R_1] :
( hBOOL(member773094996on_val(produc1441475159on_val(A,B),transi2024712006on_val(R_1)))
=> ( hBOOL(hAPP_P1708370145l_bool(Pa,A))
=> ( ! [Y_2,Z] :
( hBOOL(member773094996on_val(produc1441475159on_val(A,Y_2),transi2024712006on_val(R_1)))
=> ( hBOOL(member773094996on_val(produc1441475159on_val(Y_2,Z),R_1))
=> ( hBOOL(hAPP_P1708370145l_bool(Pa,Y_2))
=> hBOOL(hAPP_P1708370145l_bool(Pa,Z)) ) ) )
=> hBOOL(hAPP_P1708370145l_bool(Pa,B)) ) ) ) ).
fof(fact_600_rtrancl__induct,axiom,
! [Pa,A,B,R_1] :
( hBOOL(member875476972on_val(produc1611380469on_val(A,B),transi374442731on_val(R_1)))
=> ( hBOOL(hAPP_P71593144l_bool(Pa,A))
=> ( ! [Y_2,Z] :
( hBOOL(member875476972on_val(produc1611380469on_val(A,Y_2),transi374442731on_val(R_1)))
=> ( hBOOL(member875476972on_val(produc1611380469on_val(Y_2,Z),R_1))
=> ( hBOOL(hAPP_P71593144l_bool(Pa,Y_2))
=> hBOOL(hAPP_P71593144l_bool(Pa,Z)) ) ) )
=> hBOOL(hAPP_P71593144l_bool(Pa,B)) ) ) ) ).
fof(fact_601_rtrancl__induct,axiom,
! [Pa,A,B,R_1] :
( hBOOL(member1251428284t_char(produc5062597t_char(A,B),transi1395422419t_char(R_1)))
=> ( hBOOL(hAPP_list_char_bool(Pa,A))
=> ( ! [Y_2,Z] :
( hBOOL(member1251428284t_char(produc5062597t_char(A,Y_2),transi1395422419t_char(R_1)))
=> ( hBOOL(member1251428284t_char(produc5062597t_char(Y_2,Z),R_1))
=> ( hBOOL(hAPP_list_char_bool(Pa,Y_2))
=> hBOOL(hAPP_list_char_bool(Pa,Z)) ) ) )
=> hBOOL(hAPP_list_char_bool(Pa,B)) ) ) ) ).
fof(fact_602_converse__rtrancl__induct,axiom,
! [Pa,A,B,R_1] :
( hBOOL(member1999287380t_char(produc1897818327t_char(A,B),transi198989188t_char(R_1)))
=> ( hBOOL(hAPP_P2014166431r_bool(Pa,B))
=> ( ! [Y_2,Z] :
( hBOOL(member1999287380t_char(produc1897818327t_char(Y_2,Z),R_1))
=> ( hBOOL(member1999287380t_char(produc1897818327t_char(Z,B),transi198989188t_char(R_1)))
=> ( hBOOL(hAPP_P2014166431r_bool(Pa,Z))
=> hBOOL(hAPP_P2014166431r_bool(Pa,Y_2)) ) ) )
=> hBOOL(hAPP_P2014166431r_bool(Pa,A)) ) ) ) ).
fof(fact_603_converse__rtrancl__induct,axiom,
! [Pa,A,B,R_1] :
( hBOOL(member794220506t_char(produc2080520419t_char(A,B),transi1095029602t_char(R_1)))
=> ( hBOOL(hAPP_P449474095r_bool(Pa,B))
=> ( ! [Y_2,Z] :
( hBOOL(member794220506t_char(produc2080520419t_char(Y_2,Z),R_1))
=> ( hBOOL(member794220506t_char(produc2080520419t_char(Z,B),transi1095029602t_char(R_1)))
=> ( hBOOL(hAPP_P449474095r_bool(Pa,Z))
=> hBOOL(hAPP_P449474095r_bool(Pa,Y_2)) ) ) )
=> hBOOL(hAPP_P449474095r_bool(Pa,A)) ) ) ) ).
fof(fact_604_converse__rtrancl__induct,axiom,
! [Pa,A,B,R_1] :
( hBOOL(member1322055188on_val(produc499151895on_val(A,B),transi61620055on_val(R_1)))
=> ( hBOOL(hAPP_P1235399154l_bool(Pa,B))
=> ( ! [Y_2,Z] :
( hBOOL(member1322055188on_val(produc499151895on_val(Y_2,Z),R_1))
=> ( hBOOL(member1322055188on_val(produc499151895on_val(Z,B),transi61620055on_val(R_1)))
=> ( hBOOL(hAPP_P1235399154l_bool(Pa,Z))
=> hBOOL(hAPP_P1235399154l_bool(Pa,Y_2)) ) ) )
=> hBOOL(hAPP_P1235399154l_bool(Pa,A)) ) ) ) ).
fof(fact_605_converse__rtrancl__induct,axiom,
! [Pa,A,B,R_1] :
( hBOOL(member837208074al_val(produc1244920211al_val(A,B),transi1423755450al_val(R_1)))
=> ( hBOOL(hAPP_P929938951l_bool(Pa,B))
=> ( ! [Y_2,Z] :
( hBOOL(member837208074al_val(produc1244920211al_val(Y_2,Z),R_1))
=> ( hBOOL(member837208074al_val(produc1244920211al_val(Z,B),transi1423755450al_val(R_1)))
=> ( hBOOL(hAPP_P929938951l_bool(Pa,Z))
=> hBOOL(hAPP_P929938951l_bool(Pa,Y_2)) ) ) )
=> hBOOL(hAPP_P929938951l_bool(Pa,A)) ) ) ) ).
fof(fact_606_converse__rtrancl__induct,axiom,
! [Pa,A,B,R_1] :
( hBOOL(member1732271180al_val(produc1924279125al_val(A,B),transi1906258203al_val(R_1)))
=> ( hBOOL(hAPP_P943837928l_bool(Pa,B))
=> ( ! [Y_2,Z] :
( hBOOL(member1732271180al_val(produc1924279125al_val(Y_2,Z),R_1))
=> ( hBOOL(member1732271180al_val(produc1924279125al_val(Z,B),transi1906258203al_val(R_1)))
=> ( hBOOL(hAPP_P943837928l_bool(Pa,Z))
=> hBOOL(hAPP_P943837928l_bool(Pa,Y_2)) ) ) )
=> hBOOL(hAPP_P943837928l_bool(Pa,A)) ) ) ) ).
fof(fact_607_converse__rtrancl__induct,axiom,
! [Pa,A,B,R_1] :
( hBOOL(member1161907014t_char(produc1299387215t_char(A,B),transi1789604888t_char(R_1)))
=> ( hBOOL(hAPP_P2118621157r_bool(Pa,B))
=> ( ! [Y_2,Z] :
( hBOOL(member1161907014t_char(produc1299387215t_char(Y_2,Z),R_1))
=> ( hBOOL(member1161907014t_char(produc1299387215t_char(Z,B),transi1789604888t_char(R_1)))
=> ( hBOOL(hAPP_P2118621157r_bool(Pa,Z))
=> hBOOL(hAPP_P2118621157r_bool(Pa,Y_2)) ) ) )
=> hBOOL(hAPP_P2118621157r_bool(Pa,A)) ) ) ) ).
fof(fact_608_converse__rtrancl__induct,axiom,
! [Pa,A,B,R_1] :
( hBOOL(member125098544t_char(produc57279289t_char(A,B),transi1257872013t_char(R_1)))
=> ( hBOOL(hAPP_P1907982426r_bool(Pa,B))
=> ( ! [Y_2,Z] :
( hBOOL(member125098544t_char(produc57279289t_char(Y_2,Z),R_1))
=> ( hBOOL(member125098544t_char(produc57279289t_char(Z,B),transi1257872013t_char(R_1)))
=> ( hBOOL(hAPP_P1907982426r_bool(Pa,Z))
=> hBOOL(hAPP_P1907982426r_bool(Pa,Y_2)) ) ) )
=> hBOOL(hAPP_P1907982426r_bool(Pa,A)) ) ) ) ).
fof(fact_609_converse__rtrancl__induct,axiom,
! [Pa,A,B,R_1] :
( hBOOL(member1420286996t_char(produc24551831t_char(A,B),transi122195895t_char(R_1)))
=> ( hBOOL(hAPP_P92196306r_bool(Pa,B))
=> ( ! [Y_2,Z] :
( hBOOL(member1420286996t_char(produc24551831t_char(Y_2,Z),R_1))
=> ( hBOOL(member1420286996t_char(produc24551831t_char(Z,B),transi122195895t_char(R_1)))
=> ( hBOOL(hAPP_P92196306r_bool(Pa,Z))
=> hBOOL(hAPP_P92196306r_bool(Pa,Y_2)) ) ) )
=> hBOOL(hAPP_P92196306r_bool(Pa,A)) ) ) ) ).
fof(fact_610_converse__rtrancl__induct,axiom,
! [Pa,A,B,R_1] :
( hBOOL(member88670778on_val(produc1951691075on_val(A,B),transi208336786on_val(R_1)))
=> ( hBOOL(hAPP_P1333315679l_bool(Pa,B))
=> ( ! [Y_2,Z] :
( hBOOL(member88670778on_val(produc1951691075on_val(Y_2,Z),R_1))
=> ( hBOOL(member88670778on_val(produc1951691075on_val(Z,B),transi208336786on_val(R_1)))
=> ( hBOOL(hAPP_P1333315679l_bool(Pa,Z))
=> hBOOL(hAPP_P1333315679l_bool(Pa,Y_2)) ) ) )
=> hBOOL(hAPP_P1333315679l_bool(Pa,A)) ) ) ) ).
fof(fact_611_converse__rtrancl__induct,axiom,
! [Pa,A,B,R_1] :
( hBOOL(member563141460on_val(produc870913623on_val(A,B),transi921647814on_val(R_1)))
=> ( hBOOL(hAPP_P159683425l_bool(Pa,B))
=> ( ! [Y_2,Z] :
( hBOOL(member563141460on_val(produc870913623on_val(Y_2,Z),R_1))
=> ( hBOOL(member563141460on_val(produc870913623on_val(Z,B),transi921647814on_val(R_1)))
=> ( hBOOL(hAPP_P159683425l_bool(Pa,Z))
=> hBOOL(hAPP_P159683425l_bool(Pa,Y_2)) ) ) )
=> hBOOL(hAPP_P159683425l_bool(Pa,A)) ) ) ) ).
fof(fact_612_converse__rtrancl__induct,axiom,
! [Pa,A,B,R_1] :
( hBOOL(member808015754on_val(produc1564932627on_val(A,B),transi910771962on_val(R_1)))
=> ( hBOOL(hAPP_P282169671l_bool(Pa,B))
=> ( ! [Y_2,Z] :
( hBOOL(member808015754on_val(produc1564932627on_val(Y_2,Z),R_1))
=> ( hBOOL(member808015754on_val(produc1564932627on_val(Z,B),transi910771962on_val(R_1)))
=> ( hBOOL(hAPP_P282169671l_bool(Pa,Z))
=> hBOOL(hAPP_P282169671l_bool(Pa,Y_2)) ) ) )
=> hBOOL(hAPP_P282169671l_bool(Pa,A)) ) ) ) ).
fof(fact_613_converse__rtrancl__induct,axiom,
! [Pa,A,B,R_1] :
( hBOOL(member649088532al_val(product_Pair_val_val(A,B),transi935034983cl_val(R_1)))
=> ( hBOOL(hAPP_val_bool(Pa,B))
=> ( ! [Y_2,Z] :
( hBOOL(member649088532al_val(product_Pair_val_val(Y_2,Z),R_1))
=> ( hBOOL(member649088532al_val(product_Pair_val_val(Z,B),transi935034983cl_val(R_1)))
=> ( hBOOL(hAPP_val_bool(Pa,Z))
=> hBOOL(hAPP_val_bool(Pa,Y_2)) ) ) )
=> hBOOL(hAPP_val_bool(Pa,A)) ) ) ) ).
fof(fact_614_converse__rtrancl__induct,axiom,
! [Pa,A,B,R_1] :
( hBOOL(member773094996on_val(produc1441475159on_val(A,B),transi2024712006on_val(R_1)))
=> ( hBOOL(hAPP_P1708370145l_bool(Pa,B))
=> ( ! [Y_2,Z] :
( hBOOL(member773094996on_val(produc1441475159on_val(Y_2,Z),R_1))
=> ( hBOOL(member773094996on_val(produc1441475159on_val(Z,B),transi2024712006on_val(R_1)))
=> ( hBOOL(hAPP_P1708370145l_bool(Pa,Z))
=> hBOOL(hAPP_P1708370145l_bool(Pa,Y_2)) ) ) )
=> hBOOL(hAPP_P1708370145l_bool(Pa,A)) ) ) ) ).
fof(fact_615_converse__rtrancl__induct,axiom,
! [Pa,A,B,R_1] :
( hBOOL(member875476972on_val(produc1611380469on_val(A,B),transi374442731on_val(R_1)))
=> ( hBOOL(hAPP_P71593144l_bool(Pa,B))
=> ( ! [Y_2,Z] :
( hBOOL(member875476972on_val(produc1611380469on_val(Y_2,Z),R_1))
=> ( hBOOL(member875476972on_val(produc1611380469on_val(Z,B),transi374442731on_val(R_1)))
=> ( hBOOL(hAPP_P71593144l_bool(Pa,Z))
=> hBOOL(hAPP_P71593144l_bool(Pa,Y_2)) ) ) )
=> hBOOL(hAPP_P71593144l_bool(Pa,A)) ) ) ) ).
fof(fact_616_converse__rtrancl__induct,axiom,
! [Pa,A,B,R_1] :
( hBOOL(member1251428284t_char(produc5062597t_char(A,B),transi1395422419t_char(R_1)))
=> ( hBOOL(hAPP_list_char_bool(Pa,B))
=> ( ! [Y_2,Z] :
( hBOOL(member1251428284t_char(produc5062597t_char(Y_2,Z),R_1))
=> ( hBOOL(member1251428284t_char(produc5062597t_char(Z,B),transi1395422419t_char(R_1)))
=> ( hBOOL(hAPP_list_char_bool(Pa,Z))
=> hBOOL(hAPP_list_char_bool(Pa,Y_2)) ) ) )
=> hBOOL(hAPP_list_char_bool(Pa,A)) ) ) ) ).
fof(fact_617_converse__rtranclE,axiom,
! [X_2,Z_1,R_1] :
( hBOOL(member1999287380t_char(produc1897818327t_char(X_2,Z_1),transi198989188t_char(R_1)))
=> ( X_2 != Z_1
=> ~ ! [Y_2] :
( hBOOL(member1999287380t_char(produc1897818327t_char(X_2,Y_2),R_1))
=> ~ hBOOL(member1999287380t_char(produc1897818327t_char(Y_2,Z_1),transi198989188t_char(R_1))) ) ) ) ).
fof(fact_618_converse__rtranclE,axiom,
! [X_2,Z_1,R_1] :
( hBOOL(member794220506t_char(produc2080520419t_char(X_2,Z_1),transi1095029602t_char(R_1)))
=> ( X_2 != Z_1
=> ~ ! [Y_2] :
( hBOOL(member794220506t_char(produc2080520419t_char(X_2,Y_2),R_1))
=> ~ hBOOL(member794220506t_char(produc2080520419t_char(Y_2,Z_1),transi1095029602t_char(R_1))) ) ) ) ).
fof(fact_619_converse__rtranclE,axiom,
! [X_2,Z_1,R_1] :
( hBOOL(member1322055188on_val(produc499151895on_val(X_2,Z_1),transi61620055on_val(R_1)))
=> ( X_2 != Z_1
=> ~ ! [Y_2] :
( hBOOL(member1322055188on_val(produc499151895on_val(X_2,Y_2),R_1))
=> ~ hBOOL(member1322055188on_val(produc499151895on_val(Y_2,Z_1),transi61620055on_val(R_1))) ) ) ) ).
fof(fact_620_converse__rtranclE,axiom,
! [X_2,Z_1,R_1] :
( hBOOL(member837208074al_val(produc1244920211al_val(X_2,Z_1),transi1423755450al_val(R_1)))
=> ( X_2 != Z_1
=> ~ ! [Y_2] :
( hBOOL(member837208074al_val(produc1244920211al_val(X_2,Y_2),R_1))
=> ~ hBOOL(member837208074al_val(produc1244920211al_val(Y_2,Z_1),transi1423755450al_val(R_1))) ) ) ) ).
fof(fact_621_converse__rtranclE,axiom,
! [X_2,Z_1,R_1] :
( hBOOL(member1732271180al_val(produc1924279125al_val(X_2,Z_1),transi1906258203al_val(R_1)))
=> ( X_2 != Z_1
=> ~ ! [Y_2] :
( hBOOL(member1732271180al_val(produc1924279125al_val(X_2,Y_2),R_1))
=> ~ hBOOL(member1732271180al_val(produc1924279125al_val(Y_2,Z_1),transi1906258203al_val(R_1))) ) ) ) ).
fof(fact_622_converse__rtranclE,axiom,
! [X_2,Z_1,R_1] :
( hBOOL(member1161907014t_char(produc1299387215t_char(X_2,Z_1),transi1789604888t_char(R_1)))
=> ( X_2 != Z_1
=> ~ ! [Y_2] :
( hBOOL(member1161907014t_char(produc1299387215t_char(X_2,Y_2),R_1))
=> ~ hBOOL(member1161907014t_char(produc1299387215t_char(Y_2,Z_1),transi1789604888t_char(R_1))) ) ) ) ).
fof(fact_623_converse__rtranclE,axiom,
! [X_2,Z_1,R_1] :
( hBOOL(member125098544t_char(produc57279289t_char(X_2,Z_1),transi1257872013t_char(R_1)))
=> ( X_2 != Z_1
=> ~ ! [Y_2] :
( hBOOL(member125098544t_char(produc57279289t_char(X_2,Y_2),R_1))
=> ~ hBOOL(member125098544t_char(produc57279289t_char(Y_2,Z_1),transi1257872013t_char(R_1))) ) ) ) ).
fof(fact_624_converse__rtranclE,axiom,
! [X_2,Z_1,R_1] :
( hBOOL(member1420286996t_char(produc24551831t_char(X_2,Z_1),transi122195895t_char(R_1)))
=> ( X_2 != Z_1
=> ~ ! [Y_2] :
( hBOOL(member1420286996t_char(produc24551831t_char(X_2,Y_2),R_1))
=> ~ hBOOL(member1420286996t_char(produc24551831t_char(Y_2,Z_1),transi122195895t_char(R_1))) ) ) ) ).
fof(fact_625_converse__rtranclE,axiom,
! [X_2,Z_1,R_1] :
( hBOOL(member88670778on_val(produc1951691075on_val(X_2,Z_1),transi208336786on_val(R_1)))
=> ( X_2 != Z_1
=> ~ ! [Y_2] :
( hBOOL(member88670778on_val(produc1951691075on_val(X_2,Y_2),R_1))
=> ~ hBOOL(member88670778on_val(produc1951691075on_val(Y_2,Z_1),transi208336786on_val(R_1))) ) ) ) ).
fof(fact_626_converse__rtranclE,axiom,
! [X_2,Z_1,R_1] :
( hBOOL(member563141460on_val(produc870913623on_val(X_2,Z_1),transi921647814on_val(R_1)))
=> ( X_2 != Z_1
=> ~ ! [Y_2] :
( hBOOL(member563141460on_val(produc870913623on_val(X_2,Y_2),R_1))
=> ~ hBOOL(member563141460on_val(produc870913623on_val(Y_2,Z_1),transi921647814on_val(R_1))) ) ) ) ).
fof(fact_627_converse__rtranclE,axiom,
! [X_2,Z_1,R_1] :
( hBOOL(member808015754on_val(produc1564932627on_val(X_2,Z_1),transi910771962on_val(R_1)))
=> ( X_2 != Z_1
=> ~ ! [Y_2] :
( hBOOL(member808015754on_val(produc1564932627on_val(X_2,Y_2),R_1))
=> ~ hBOOL(member808015754on_val(produc1564932627on_val(Y_2,Z_1),transi910771962on_val(R_1))) ) ) ) ).
fof(fact_628_converse__rtranclE,axiom,
! [X_2,Z_1,R_1] :
( hBOOL(member649088532al_val(product_Pair_val_val(X_2,Z_1),transi935034983cl_val(R_1)))
=> ( X_2 != Z_1
=> ~ ! [Y_2] :
( hBOOL(member649088532al_val(product_Pair_val_val(X_2,Y_2),R_1))
=> ~ hBOOL(member649088532al_val(product_Pair_val_val(Y_2,Z_1),transi935034983cl_val(R_1))) ) ) ) ).
fof(fact_629_converse__rtranclE,axiom,
! [X_2,Z_1,R_1] :
( hBOOL(member773094996on_val(produc1441475159on_val(X_2,Z_1),transi2024712006on_val(R_1)))
=> ( X_2 != Z_1
=> ~ ! [Y_2] :
( hBOOL(member773094996on_val(produc1441475159on_val(X_2,Y_2),R_1))
=> ~ hBOOL(member773094996on_val(produc1441475159on_val(Y_2,Z_1),transi2024712006on_val(R_1))) ) ) ) ).
fof(fact_630_converse__rtranclE,axiom,
! [X_2,Z_1,R_1] :
( hBOOL(member875476972on_val(produc1611380469on_val(X_2,Z_1),transi374442731on_val(R_1)))
=> ( X_2 != Z_1
=> ~ ! [Y_2] :
( hBOOL(member875476972on_val(produc1611380469on_val(X_2,Y_2),R_1))
=> ~ hBOOL(member875476972on_val(produc1611380469on_val(Y_2,Z_1),transi374442731on_val(R_1))) ) ) ) ).
fof(fact_631_converse__rtranclE,axiom,
! [X_2,Z_1,R_1] :
( hBOOL(member1251428284t_char(produc5062597t_char(X_2,Z_1),transi1395422419t_char(R_1)))
=> ( X_2 != Z_1
=> ~ ! [Y_2] :
( hBOOL(member1251428284t_char(produc5062597t_char(X_2,Y_2),R_1))
=> ~ hBOOL(member1251428284t_char(produc5062597t_char(Y_2,Z_1),transi1395422419t_char(R_1))) ) ) ) ).
fof(fact_632_rtranclE,axiom,
! [A,B,R_1] :
( hBOOL(member1999287380t_char(produc1897818327t_char(A,B),transi198989188t_char(R_1)))
=> ( A != B
=> ~ ! [Y_2] :
( hBOOL(member1999287380t_char(produc1897818327t_char(A,Y_2),transi198989188t_char(R_1)))
=> ~ hBOOL(member1999287380t_char(produc1897818327t_char(Y_2,B),R_1)) ) ) ) ).
fof(fact_633_rtranclE,axiom,
! [A,B,R_1] :
( hBOOL(member794220506t_char(produc2080520419t_char(A,B),transi1095029602t_char(R_1)))
=> ( A != B
=> ~ ! [Y_2] :
( hBOOL(member794220506t_char(produc2080520419t_char(A,Y_2),transi1095029602t_char(R_1)))
=> ~ hBOOL(member794220506t_char(produc2080520419t_char(Y_2,B),R_1)) ) ) ) ).
fof(fact_634_rtranclE,axiom,
! [A,B,R_1] :
( hBOOL(member1322055188on_val(produc499151895on_val(A,B),transi61620055on_val(R_1)))
=> ( A != B
=> ~ ! [Y_2] :
( hBOOL(member1322055188on_val(produc499151895on_val(A,Y_2),transi61620055on_val(R_1)))
=> ~ hBOOL(member1322055188on_val(produc499151895on_val(Y_2,B),R_1)) ) ) ) ).
fof(fact_635_rtranclE,axiom,
! [A,B,R_1] :
( hBOOL(member837208074al_val(produc1244920211al_val(A,B),transi1423755450al_val(R_1)))
=> ( A != B
=> ~ ! [Y_2] :
( hBOOL(member837208074al_val(produc1244920211al_val(A,Y_2),transi1423755450al_val(R_1)))
=> ~ hBOOL(member837208074al_val(produc1244920211al_val(Y_2,B),R_1)) ) ) ) ).
fof(fact_636_rtranclE,axiom,
! [A,B,R_1] :
( hBOOL(member1732271180al_val(produc1924279125al_val(A,B),transi1906258203al_val(R_1)))
=> ( A != B
=> ~ ! [Y_2] :
( hBOOL(member1732271180al_val(produc1924279125al_val(A,Y_2),transi1906258203al_val(R_1)))
=> ~ hBOOL(member1732271180al_val(produc1924279125al_val(Y_2,B),R_1)) ) ) ) ).
fof(fact_637_rtranclE,axiom,
! [A,B,R_1] :
( hBOOL(member1161907014t_char(produc1299387215t_char(A,B),transi1789604888t_char(R_1)))
=> ( A != B
=> ~ ! [Y_2] :
( hBOOL(member1161907014t_char(produc1299387215t_char(A,Y_2),transi1789604888t_char(R_1)))
=> ~ hBOOL(member1161907014t_char(produc1299387215t_char(Y_2,B),R_1)) ) ) ) ).
fof(fact_638_rtranclE,axiom,
! [A,B,R_1] :
( hBOOL(member125098544t_char(produc57279289t_char(A,B),transi1257872013t_char(R_1)))
=> ( A != B
=> ~ ! [Y_2] :
( hBOOL(member125098544t_char(produc57279289t_char(A,Y_2),transi1257872013t_char(R_1)))
=> ~ hBOOL(member125098544t_char(produc57279289t_char(Y_2,B),R_1)) ) ) ) ).
fof(fact_639_rtranclE,axiom,
! [A,B,R_1] :
( hBOOL(member1420286996t_char(produc24551831t_char(A,B),transi122195895t_char(R_1)))
=> ( A != B
=> ~ ! [Y_2] :
( hBOOL(member1420286996t_char(produc24551831t_char(A,Y_2),transi122195895t_char(R_1)))
=> ~ hBOOL(member1420286996t_char(produc24551831t_char(Y_2,B),R_1)) ) ) ) ).
fof(fact_640_rtranclE,axiom,
! [A,B,R_1] :
( hBOOL(member88670778on_val(produc1951691075on_val(A,B),transi208336786on_val(R_1)))
=> ( A != B
=> ~ ! [Y_2] :
( hBOOL(member88670778on_val(produc1951691075on_val(A,Y_2),transi208336786on_val(R_1)))
=> ~ hBOOL(member88670778on_val(produc1951691075on_val(Y_2,B),R_1)) ) ) ) ).
fof(fact_641_rtranclE,axiom,
! [A,B,R_1] :
( hBOOL(member563141460on_val(produc870913623on_val(A,B),transi921647814on_val(R_1)))
=> ( A != B
=> ~ ! [Y_2] :
( hBOOL(member563141460on_val(produc870913623on_val(A,Y_2),transi921647814on_val(R_1)))
=> ~ hBOOL(member563141460on_val(produc870913623on_val(Y_2,B),R_1)) ) ) ) ).
fof(fact_642_rtranclE,axiom,
! [A,B,R_1] :
( hBOOL(member808015754on_val(produc1564932627on_val(A,B),transi910771962on_val(R_1)))
=> ( A != B
=> ~ ! [Y_2] :
( hBOOL(member808015754on_val(produc1564932627on_val(A,Y_2),transi910771962on_val(R_1)))
=> ~ hBOOL(member808015754on_val(produc1564932627on_val(Y_2,B),R_1)) ) ) ) ).
fof(fact_643_rtranclE,axiom,
! [A,B,R_1] :
( hBOOL(member649088532al_val(product_Pair_val_val(A,B),transi935034983cl_val(R_1)))
=> ( A != B
=> ~ ! [Y_2] :
( hBOOL(member649088532al_val(product_Pair_val_val(A,Y_2),transi935034983cl_val(R_1)))
=> ~ hBOOL(member649088532al_val(product_Pair_val_val(Y_2,B),R_1)) ) ) ) ).
fof(fact_644_rtranclE,axiom,
! [A,B,R_1] :
( hBOOL(member773094996on_val(produc1441475159on_val(A,B),transi2024712006on_val(R_1)))
=> ( A != B
=> ~ ! [Y_2] :
( hBOOL(member773094996on_val(produc1441475159on_val(A,Y_2),transi2024712006on_val(R_1)))
=> ~ hBOOL(member773094996on_val(produc1441475159on_val(Y_2,B),R_1)) ) ) ) ).
fof(fact_645_rtranclE,axiom,
! [A,B,R_1] :
( hBOOL(member875476972on_val(produc1611380469on_val(A,B),transi374442731on_val(R_1)))
=> ( A != B
=> ~ ! [Y_2] :
( hBOOL(member875476972on_val(produc1611380469on_val(A,Y_2),transi374442731on_val(R_1)))
=> ~ hBOOL(member875476972on_val(produc1611380469on_val(Y_2,B),R_1)) ) ) ) ).
fof(fact_646_rtranclE,axiom,
! [A,B,R_1] :
( hBOOL(member1251428284t_char(produc5062597t_char(A,B),transi1395422419t_char(R_1)))
=> ( A != B
=> ~ ! [Y_2] :
( hBOOL(member1251428284t_char(produc5062597t_char(A,Y_2),transi1395422419t_char(R_1)))
=> ~ hBOOL(member1251428284t_char(produc5062597t_char(Y_2,B),R_1)) ) ) ) ).
fof(fact_647_CondReds2T,axiom,
! [E_2,E_1_1,E_a,S_2_1,Ea,S_0,S_1_1,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_0),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,bool(fTrue)),S_1_1)),transi2024712006on_val(red(Pa))))
=> ( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(E_1_1,S_1_1),produc1259058957on_val(E_a,S_2_1)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(cond_list_char(Ea,E_1_1,E_2),S_0),produc1259058957on_val(E_a,S_2_1)),transi2024712006on_val(red(Pa)))) ) ) ).
fof(fact_648_CondReds2F,axiom,
! [E_1_1,E_2,E_a,S_2_1,Ea,S_0,S_1_1,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_0),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,bool(fFalse)),S_1_1)),transi2024712006on_val(red(Pa))))
=> ( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(E_2,S_1_1),produc1259058957on_val(E_a,S_2_1)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(cond_list_char(Ea,E_1_1,E_2),S_0),produc1259058957on_val(E_a,S_2_1)),transi2024712006on_val(red(Pa)))) ) ) ).
fof(fact_649_CastRedsNull,axiom,
! [C,Ea,S_1,S,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,null),S)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(cast_list_char(C,Ea),S_1),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,null),S)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_650_red__reds_ORedCastNull,axiom,
! [C,S_1,Pa] : hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(cast_list_char(C,hAPP_v834067052t_char(val_list_char,null)),S_1),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,null),S_1)),red(Pa))) ).
fof(fact_651_red__reds_ORedCondF,axiom,
! [E_1_1,E_2,S_1,Pa] : hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(cond_list_char(hAPP_v834067052t_char(val_list_char,bool(fFalse)),E_1_1,E_2),S_1),produc1259058957on_val(E_2,S_1)),red(Pa))) ).
fof(fact_652_red__reds_ORedCondT,axiom,
! [E_1_1,E_2,S_1,Pa] : hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(cond_list_char(hAPP_v834067052t_char(val_list_char,bool(fTrue)),E_1_1,E_2),S_1),produc1259058957on_val(E_1_1,S_1)),red(Pa))) ).
fof(fact_653_val_Osimps_I12_J,axiom,
! [Bool_1] : null != bool(Bool_1) ).
fof(fact_654_val_Osimps_I13_J,axiom,
! [Bool_1] : bool(Bool_1) != null ).
fof(fact_655_WhileTReds,axiom,
! [Ea,S_3,C_1,V_1_1,S_2_1,B,S_0,S_1_1,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(B,S_0),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,bool(fTrue)),S_1_1)),transi2024712006on_val(red(Pa))))
=> ( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(C_1,S_1_1),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_1_1),S_2_1)),transi2024712006on_val(red(Pa))))
=> ( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(while_list_char(B,C_1),S_2_1),produc1259058957on_val(Ea,S_3)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(while_list_char(B,C_1),S_0),produc1259058957on_val(Ea,S_3)),transi2024712006on_val(red(Pa)))) ) ) ) ).
fof(fact_656_BinOpRedsThrow2,axiom,
! [Bop,E_2,Ea,S_2_1,E_1_1,S_0,V_1_1,S_1_1,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(E_1_1,S_0),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_1_1),S_1_1)),transi2024712006on_val(red(Pa))))
=> ( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(E_2,S_1_1),produc1259058957on_val(throw_list_char(Ea),S_2_1)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(binOp_list_char(E_1_1,Bop,E_2),S_0),produc1259058957on_val(throw_list_char(Ea),S_2_1)),transi2024712006on_val(red(Pa)))) ) ) ).
fof(fact_657_FAccRedsThrow,axiom,
! [F,D,Ea,S_1,A,S,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(throw_list_char(A),S)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(fAcc_list_char(Ea,F,D),S_1),produc1259058957on_val(throw_list_char(A),S)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_658_CondRedsThrow,axiom,
! [E_1_1,E_2,Ea,S_1,A,S,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(throw_list_char(A),S)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(cond_list_char(Ea,E_1_1,E_2),S_1),produc1259058957on_val(throw_list_char(A),S)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_659_CastRedsThrow,axiom,
! [C,Ea,S_1,A,S,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(throw_list_char(A),S)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(cast_list_char(C,Ea),S_1),produc1259058957on_val(throw_list_char(A),S)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_660_BinOpRedsThrow1,axiom,
! [Bop,E_2,Ea,S_1,E_a,S,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(throw_list_char(E_a),S)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(binOp_list_char(Ea,Bop,E_2),S_1),produc1259058957on_val(throw_list_char(E_a),S)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_661_CallRedsThrowObj,axiom,
! [M,Esa,Ea,S0,A,S_1_1,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S0),produc1259058957on_val(throw_list_char(A),S_1_1)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(call_list_char(Ea,M,Esa),S0),produc1259058957on_val(throw_list_char(A),S_1_1)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_662_exp_Osimps_I221_J,axiom,
! [Exp_109,Exp1_109,Exp2_109] : throw_list_char(Exp_109) != while_list_char(Exp1_109,Exp2_109) ).
fof(fact_663_exp_Osimps_I220_J,axiom,
! [Exp1_108,Exp2_108,Exp_108] : while_list_char(Exp1_108,Exp2_108) != throw_list_char(Exp_108) ).
fof(fact_664_exp_Osimps_I14_J,axiom,
! [Exp_35,Exp_34] :
( throw_list_char(Exp_35) = throw_list_char(Exp_34)
<=> Exp_35 = Exp_34 ) ).
fof(fact_665_exp_Osimps_I13_J,axiom,
! [Exp1_81,Exp2_81,Exp1_80,Exp2_80] :
( while_list_char(Exp1_81,Exp2_81) = while_list_char(Exp1_80,Exp2_80)
<=> ( Exp1_81 = Exp1_80
& Exp2_81 = Exp2_80 ) ) ).
fof(fact_666_exp_Osimps_I91_J,axiom,
! [Exp_107,Val_11] : throw_list_char(Exp_107) != hAPP_v834067052t_char(val_list_char,Val_11) ).
fof(fact_667_exp_Osimps_I90_J,axiom,
! [Val_10,Exp_106] : hAPP_v834067052t_char(val_list_char,Val_10) != throw_list_char(Exp_106) ).
fof(fact_668_exp_Osimps_I89_J,axiom,
! [Exp1_107,Exp2_107,Val_9] : while_list_char(Exp1_107,Exp2_107) != hAPP_v834067052t_char(val_list_char,Val_9) ).
fof(fact_669_exp_Osimps_I88_J,axiom,
! [Val_8,Exp1_106,Exp2_106] : hAPP_v834067052t_char(val_list_char,Val_8) != while_list_char(Exp1_106,Exp2_106) ).
fof(fact_670_exp_Osimps_I192_J,axiom,
! [Exp_105,List1_49,List2_49,Exp_104] : call_list_char(Exp_105,List1_49,List2_49) != throw_list_char(Exp_104) ).
fof(fact_671_exp_Osimps_I193_J,axiom,
! [Exp_103,Exp_102,List1_48,List2_48] : throw_list_char(Exp_103) != call_list_char(Exp_102,List1_48,List2_48) ).
fof(fact_672_exp_Osimps_I112_J,axiom,
! [Exp1_105,Bop_12,Exp2_105,Exp_101] : binOp_list_char(Exp1_105,Bop_12,Exp2_105) != throw_list_char(Exp_101) ).
fof(fact_673_exp_Osimps_I113_J,axiom,
! [Exp_100,Exp1_104,Bop_11,Exp2_104] : throw_list_char(Exp_100) != binOp_list_char(Exp1_104,Bop_11,Exp2_104) ).
fof(fact_674_exp_Osimps_I216_J,axiom,
! [Exp1_103,Exp2_103,Exp3_11,Exp_99] : cond_list_char(Exp1_103,Exp2_103,Exp3_11) != throw_list_char(Exp_99) ).
fof(fact_675_exp_Osimps_I66_J,axiom,
! [List_27,Exp_98,Exp_97] : cast_list_char(List_27,Exp_98) != throw_list_char(Exp_97) ).
fof(fact_676_exp_Osimps_I217_J,axiom,
! [Exp_96,Exp1_102,Exp2_102,Exp3_10] : throw_list_char(Exp_96) != cond_list_char(Exp1_102,Exp2_102,Exp3_10) ).
fof(fact_677_exp_Osimps_I67_J,axiom,
! [Exp_95,List_26,Exp_94] : throw_list_char(Exp_95) != cast_list_char(List_26,Exp_94) ).
fof(fact_678_exp_Osimps_I166_J,axiom,
! [Exp_93,List1_47,List2_47,Exp_92] : fAcc_list_char(Exp_93,List1_47,List2_47) != throw_list_char(Exp_92) ).
fof(fact_679_exp_Osimps_I167_J,axiom,
! [Exp_91,Exp_90,List1_46,List2_46] : throw_list_char(Exp_91) != fAcc_list_char(Exp_90,List1_46,List2_46) ).
fof(fact_680_exp_Osimps_I225_J,axiom,
! [Exp1_101,List_25,A_63,Exp2_101,Exp_89] : tryCatch_list_char(Exp1_101,List_25,A_63,Exp2_101) != throw_list_char(Exp_89) ).
fof(fact_681_exp_Osimps_I224_J,axiom,
! [Exp_88,Exp1_100,List_24,A_62,Exp2_100] : throw_list_char(Exp_88) != tryCatch_list_char(Exp1_100,List_24,A_62,Exp2_100) ).
fof(fact_682_exp_Osimps_I190_J,axiom,
! [Exp_87,List1_45,List2_45,Exp1_99,Exp2_99] : call_list_char(Exp_87,List1_45,List2_45) != while_list_char(Exp1_99,Exp2_99) ).
fof(fact_683_exp_Osimps_I191_J,axiom,
! [Exp1_98,Exp2_98,Exp_86,List1_44,List2_44] : while_list_char(Exp1_98,Exp2_98) != call_list_char(Exp_86,List1_44,List2_44) ).
fof(fact_684_exp_Osimps_I110_J,axiom,
! [Exp1_97,Bop_10,Exp2_97,Exp1_96,Exp2_96] : binOp_list_char(Exp1_97,Bop_10,Exp2_97) != while_list_char(Exp1_96,Exp2_96) ).
fof(fact_685_exp_Osimps_I111_J,axiom,
! [Exp1_95,Exp2_95,Exp1_94,Bop_9,Exp2_94] : while_list_char(Exp1_95,Exp2_95) != binOp_list_char(Exp1_94,Bop_9,Exp2_94) ).
fof(fact_686_exp_Osimps_I214_J,axiom,
! [Exp1_93,Exp2_93,Exp3_9,Exp1_92,Exp2_92] : cond_list_char(Exp1_93,Exp2_93,Exp3_9) != while_list_char(Exp1_92,Exp2_92) ).
fof(fact_687_exp_Osimps_I215_J,axiom,
! [Exp1_91,Exp2_91,Exp1_90,Exp2_90,Exp3_8] : while_list_char(Exp1_91,Exp2_91) != cond_list_char(Exp1_90,Exp2_90,Exp3_8) ).
fof(fact_688_exp_Osimps_I65_J,axiom,
! [Exp1_89,Exp2_89,List_23,Exp_85] : while_list_char(Exp1_89,Exp2_89) != cast_list_char(List_23,Exp_85) ).
fof(fact_689_exp_Osimps_I64_J,axiom,
! [List_22,Exp_84,Exp1_88,Exp2_88] : cast_list_char(List_22,Exp_84) != while_list_char(Exp1_88,Exp2_88) ).
fof(fact_690_exp_Osimps_I164_J,axiom,
! [Exp_83,List1_43,List2_43,Exp1_87,Exp2_87] : fAcc_list_char(Exp_83,List1_43,List2_43) != while_list_char(Exp1_87,Exp2_87) ).
fof(fact_691_exp_Osimps_I165_J,axiom,
! [Exp1_86,Exp2_86,Exp_82,List1_42,List2_42] : while_list_char(Exp1_86,Exp2_86) != fAcc_list_char(Exp_82,List1_42,List2_42) ).
fof(fact_692_exp_Osimps_I223_J,axiom,
! [Exp1_85,List_21,A_61,Exp2_85,Exp1_84,Exp2_84] : tryCatch_list_char(Exp1_85,List_21,A_61,Exp2_85) != while_list_char(Exp1_84,Exp2_84) ).
fof(fact_693_exp_Osimps_I222_J,axiom,
! [Exp1_83,Exp2_83,Exp1_82,List_20,A_60,Exp2_82] : while_list_char(Exp1_83,Exp2_83) != tryCatch_list_char(Exp1_82,List_20,A_60,Exp2_82) ).
fof(fact_694_WhileRedsThrow,axiom,
! [C_1,B,S_1,Ea,S,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(B,S_1),produc1259058957on_val(throw_list_char(Ea),S)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(while_list_char(B,C_1),S_1),produc1259058957on_val(throw_list_char(Ea),S)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_695_red__reds_OThrowThrow,axiom,
! [Ea,S_1,Pa] : hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(throw_list_char(throw_list_char(Ea)),S_1),produc1259058957on_val(throw_list_char(Ea),S_1)),red(Pa))) ).
fof(fact_696_red__reds_OThrowRed,axiom,
! [Ea,S_1,E_a,S,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),red(Pa)))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(throw_list_char(Ea),S_1),produc1259058957on_val(throw_list_char(E_a),S)),red(Pa))) ) ).
fof(fact_697_WhileTRedsThrow,axiom,
! [C_1,Ea,S_2_1,B,S_0,S_1_1,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(B,S_0),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,bool(fTrue)),S_1_1)),transi2024712006on_val(red(Pa))))
=> ( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(C_1,S_1_1),produc1259058957on_val(throw_list_char(Ea),S_2_1)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(while_list_char(B,C_1),S_0),produc1259058957on_val(throw_list_char(Ea),S_2_1)),transi2024712006on_val(red(Pa)))) ) ) ).
fof(fact_698_val_Osimps_I1_J,axiom,
! [Bool,Bool_1] :
( bool(Bool) = bool(Bool_1)
<=> ( hBOOL(Bool)
<=> hBOOL(Bool_1) ) ) ).
fof(fact_699_ThrowReds,axiom,
! [Ea,S_1,E_a,S,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(throw_list_char(Ea),S_1),produc1259058957on_val(throw_list_char(E_a),S)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_700_ThrowRedsThrow,axiom,
! [Ea,S_1,A,S,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(throw_list_char(A),S)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(throw_list_char(Ea),S_1),produc1259058957on_val(throw_list_char(A),S)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_701_red__reds_OCallThrowObj,axiom,
! [Ea,M,Esa,S_1,Pa] : hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(call_list_char(throw_list_char(Ea),M,Esa),S_1),produc1259058957on_val(throw_list_char(Ea),S_1)),red(Pa))) ).
fof(fact_702_red__reds_OBinOpThrow1,axiom,
! [Ea,Bop,E_2,S_1,Pa] : hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(binOp_list_char(throw_list_char(Ea),Bop,E_2),S_1),produc1259058957on_val(throw_list_char(Ea),S_1)),red(Pa))) ).
fof(fact_703_red__reds_OCastThrow,axiom,
! [C,Ea,S_1,Pa] : hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(cast_list_char(C,throw_list_char(Ea)),S_1),produc1259058957on_val(throw_list_char(Ea),S_1)),red(Pa))) ).
fof(fact_704_red__reds_OCondThrow,axiom,
! [Ea,E_1_1,E_2,S_1,Pa] : hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(cond_list_char(throw_list_char(Ea),E_1_1,E_2),S_1),produc1259058957on_val(throw_list_char(Ea),S_1)),red(Pa))) ).
fof(fact_705_red__reds_OFAccThrow,axiom,
! [Ea,F,D,S_1,Pa] : hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(fAcc_list_char(throw_list_char(Ea),F,D),S_1),produc1259058957on_val(throw_list_char(Ea),S_1)),red(Pa))) ).
fof(fact_706_red__reds_OBinOpThrow2,axiom,
! [V_1_1,Bop,Ea,S_1,Pa] : hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_1),Bop,throw_list_char(Ea)),S_1),produc1259058957on_val(throw_list_char(Ea),S_1)),red(Pa))) ).
fof(fact_707_WhileFReds,axiom,
! [C_1,B,S_1,S,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(B,S_1),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,bool(fFalse)),S)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(while_list_char(B,C_1),S_1),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,unit),S)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_708_WTrtThrow,axiom,
! [T_3,Pa,Ha,E_1,Ea,T_r] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,Ea),T_r))
=> ( hBOOL(hAPP_ty_bool(is_refT,T_r))
=> hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,throw_list_char(Ea)),T_3)) ) ) ).
fof(fact_709_FAssRedsThrow2,axiom,
! [F,D,E_2,Ea,S_2_1,E_1_1,S_0,V_1,S_1_1,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(E_1_1,S_0),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_1),S_1_1)),transi2024712006on_val(red(Pa))))
=> ( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(E_2,S_1_1),produc1259058957on_val(throw_list_char(Ea),S_2_1)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(fAss_list_char(E_1_1,F,D,E_2),S_0),produc1259058957on_val(throw_list_char(Ea),S_2_1)),transi2024712006on_val(red(Pa)))) ) ) ).
fof(fact_710_CallRedsThrowParams,axiom,
! [M,Esa,Vs_1_1,A,Es_2_1,S_2_1,Ea,S0,V_1,S_1_1,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S0),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_1),S_1_1)),transi2024712006on_val(red(Pa))))
=> ( hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(Esa,S_1_1),produc379668296on_val(append_exp_list_char(map_va1934808527t_char(val_list_char,Vs_1_1),cons_exp_list_char(throw_list_char(A),Es_2_1)),S_2_1)),transi374442731on_val(reds(Pa))))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(call_list_char(Ea,M,Esa),S0),produc1259058957on_val(throw_list_char(A),S_2_1)),transi2024712006on_val(red(Pa)))) ) ) ).
fof(fact_711_FAssRedsThrow1,axiom,
! [F,D,E_2,Ea,S_1,E_a,S,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(throw_list_char(E_a),S)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(fAss_list_char(Ea,F,D,E_2),S_1),produc1259058957on_val(throw_list_char(E_a),S)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_712_FAssReds2,axiom,
! [V_1,F,D,Ea,S_1,E_a,S,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(fAss_list_char(hAPP_v834067052t_char(val_list_char,V_1),F,D,Ea),S_1),produc1259058957on_val(fAss_list_char(hAPP_v834067052t_char(val_list_char,V_1),F,D,E_a),S)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_713_red__reds_OFAssThrow2,axiom,
! [V_1,F,D,Ea,S_1,Pa] : hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(fAss_list_char(hAPP_v834067052t_char(val_list_char,V_1),F,D,throw_list_char(Ea)),S_1),produc1259058957on_val(throw_list_char(Ea),S_1)),red(Pa))) ).
fof(fact_714_LAssRedsThrow,axiom,
! [V,Ea,S_1,A,S,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(throw_list_char(A),S)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(lAss_list_char(V,Ea),S_1),produc1259058957on_val(throw_list_char(A),S)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_715_SeqRedsThrow,axiom,
! [E_2,Ea,S_1,E_a,S,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(throw_list_char(E_a),S)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(seq_list_char(Ea,E_2),S_1),produc1259058957on_val(throw_list_char(E_a),S)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_716_WTrtSeq,axiom,
! [E_2,T_2_2,Pa,Ha,E_1,E_1_1,T_1_2] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,E_1_1),T_1_2))
=> ( hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,E_2),T_2_2))
=> hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,seq_list_char(E_1_1,E_2)),T_2_2)) ) ) ).
fof(fact_717_exp_Osimps_I8_J,axiom,
! [Exp1_81,List1_41,List2_41,Exp2_81,Exp1_80,List1_40,List2_40,Exp2_80] :
( fAss_list_char(Exp1_81,List1_41,List2_41,Exp2_81) = fAss_list_char(Exp1_80,List1_40,List2_40,Exp2_80)
<=> ( Exp1_81 = Exp1_80
& List1_41 = List1_40
& List2_41 = List2_40
& Exp2_81 = Exp2_80 ) ) ).
fof(fact_718_exp_Osimps_I6_J,axiom,
! [A,Exp_35,A_3,Exp_34] :
( lAss_list_char(A,Exp_35) = lAss_list_char(A_3,Exp_34)
<=> ( A = A_3
& Exp_35 = Exp_34 ) ) ).
fof(fact_719_exp_Osimps_I11_J,axiom,
! [Exp1_81,Exp2_81,Exp1_80,Exp2_80] :
( seq_list_char(Exp1_81,Exp2_81) = seq_list_char(Exp1_80,Exp2_80)
<=> ( Exp1_81 = Exp1_80
& Exp2_81 = Exp2_80 ) ) ).
fof(fact_720_exp_Osimps_I139_J,axiom,
! [Exp1_79,List1_39,List2_39,Exp2_79,A_59,Exp_81] : fAss_list_char(Exp1_79,List1_39,List2_39,Exp2_79) != lAss_list_char(A_59,Exp_81) ).
fof(fact_721_exp_Osimps_I174_J,axiom,
! [Exp1_78,List1_38,List2_38,Exp2_78,Exp1_77,Exp2_77] : fAss_list_char(Exp1_78,List1_38,List2_38,Exp2_78) != seq_list_char(Exp1_77,Exp2_77) ).
fof(fact_722_exp_Osimps_I138_J,axiom,
! [A_58,Exp_80,Exp1_76,List1_37,List2_37,Exp2_76] : lAss_list_char(A_58,Exp_80) != fAss_list_char(Exp1_76,List1_37,List2_37,Exp2_76) ).
fof(fact_723_exp_Osimps_I175_J,axiom,
! [Exp1_75,Exp2_75,Exp1_74,List1_36,List2_36,Exp2_74] : seq_list_char(Exp1_75,Exp2_75) != fAss_list_char(Exp1_74,List1_36,List2_36,Exp2_74) ).
fof(fact_724_exp_Osimps_I144_J,axiom,
! [A_57,Exp_79,Exp1_73,Exp2_73] : lAss_list_char(A_57,Exp_79) != seq_list_char(Exp1_73,Exp2_73) ).
fof(fact_725_exp_Osimps_I145_J,axiom,
! [Exp1_72,Exp2_72,A_56,Exp_78] : seq_list_char(Exp1_72,Exp2_72) != lAss_list_char(A_56,Exp_78) ).
fof(fact_726_exp_Osimps_I84_J,axiom,
! [Val_7,Exp1_71,Exp2_71] : hAPP_v834067052t_char(val_list_char,Val_7) != seq_list_char(Exp1_71,Exp2_71) ).
fof(fact_727_exp_Osimps_I74_J,axiom,
! [Val_6,A_55,Exp_77] : hAPP_v834067052t_char(val_list_char,Val_6) != lAss_list_char(A_55,Exp_77) ).
fof(fact_728_exp_Osimps_I78_J,axiom,
! [Val_5,Exp1_70,List1_35,List2_35,Exp2_70] : hAPP_v834067052t_char(val_list_char,Val_5) != fAss_list_char(Exp1_70,List1_35,List2_35,Exp2_70) ).
fof(fact_729_exp_Osimps_I85_J,axiom,
! [Exp1_69,Exp2_69,Val_4] : seq_list_char(Exp1_69,Exp2_69) != hAPP_v834067052t_char(val_list_char,Val_4) ).
fof(fact_730_exp_Osimps_I75_J,axiom,
! [A_54,Exp_76,Val_3] : lAss_list_char(A_54,Exp_76) != hAPP_v834067052t_char(val_list_char,Val_3) ).
fof(fact_731_exp_Osimps_I79_J,axiom,
! [Exp1_68,List1_34,List2_34,Exp2_68,Val_2] : fAss_list_char(Exp1_68,List1_34,List2_34,Exp2_68) != hAPP_v834067052t_char(val_list_char,Val_2) ).
fof(fact_732_exp_Osimps_I180_J,axiom,
! [Exp1_67,List1_33,List2_33,Exp2_67,Exp_75] : fAss_list_char(Exp1_67,List1_33,List2_33,Exp2_67) != throw_list_char(Exp_75) ).
fof(fact_733_exp_Osimps_I150_J,axiom,
! [A_53,Exp_74,Exp_73] : lAss_list_char(A_53,Exp_74) != throw_list_char(Exp_73) ).
fof(fact_734_exp_Osimps_I210_J,axiom,
! [Exp1_66,Exp2_66,Exp_72] : seq_list_char(Exp1_66,Exp2_66) != throw_list_char(Exp_72) ).
fof(fact_735_exp_Osimps_I181_J,axiom,
! [Exp_71,Exp1_65,List1_32,List2_32,Exp2_65] : throw_list_char(Exp_71) != fAss_list_char(Exp1_65,List1_32,List2_32,Exp2_65) ).
fof(fact_736_exp_Osimps_I151_J,axiom,
! [Exp_70,A_52,Exp_69] : throw_list_char(Exp_70) != lAss_list_char(A_52,Exp_69) ).
fof(fact_737_exp_Osimps_I211_J,axiom,
! [Exp_68,Exp1_64,Exp2_64] : throw_list_char(Exp_68) != seq_list_char(Exp1_64,Exp2_64) ).
fof(fact_738_exp_Osimps_I187_J,axiom,
! [Exp1_63,Exp2_63,Exp_67,List1_31,List2_31] : seq_list_char(Exp1_63,Exp2_63) != call_list_char(Exp_67,List1_31,List2_31) ).
fof(fact_739_exp_Osimps_I140_J,axiom,
! [A_51,Exp_66,Exp_65,List1_30,List2_30] : lAss_list_char(A_51,Exp_66) != call_list_char(Exp_65,List1_30,List2_30) ).
fof(fact_740_exp_Osimps_I186_J,axiom,
! [Exp_64,List1_29,List2_29,Exp1_62,Exp2_62] : call_list_char(Exp_64,List1_29,List2_29) != seq_list_char(Exp1_62,Exp2_62) ).
fof(fact_741_exp_Osimps_I141_J,axiom,
! [Exp_63,List1_28,List2_28,A_50,Exp_62] : call_list_char(Exp_63,List1_28,List2_28) != lAss_list_char(A_50,Exp_62) ).
fof(fact_742_exp_Osimps_I171_J,axiom,
! [Exp_61,List1_27,List2_27,Exp1_61,List1_26,List2_26,Exp2_61] : call_list_char(Exp_61,List1_27,List2_27) != fAss_list_char(Exp1_61,List1_26,List2_26,Exp2_61) ).
fof(fact_743_exp_Osimps_I170_J,axiom,
! [Exp1_60,List1_25,List2_25,Exp2_60,Exp_60,List1_24,List2_24] : fAss_list_char(Exp1_60,List1_25,List2_25,Exp2_60) != call_list_char(Exp_60,List1_24,List2_24) ).
fof(fact_744_exp_Osimps_I107_J,axiom,
! [Exp1_59,Exp2_59,Exp1_58,Bop_8,Exp2_58] : seq_list_char(Exp1_59,Exp2_59) != binOp_list_char(Exp1_58,Bop_8,Exp2_58) ).
fof(fact_745_exp_Osimps_I97_J,axiom,
! [A_49,Exp_59,Exp1_57,Bop_7,Exp2_57] : lAss_list_char(A_49,Exp_59) != binOp_list_char(Exp1_57,Bop_7,Exp2_57) ).
fof(fact_746_exp_Osimps_I106_J,axiom,
! [Exp1_56,Bop_6,Exp2_56,Exp1_55,Exp2_55] : binOp_list_char(Exp1_56,Bop_6,Exp2_56) != seq_list_char(Exp1_55,Exp2_55) ).
fof(fact_747_exp_Osimps_I96_J,axiom,
! [Exp1_54,Bop_5,Exp2_54,A_48,Exp_58] : binOp_list_char(Exp1_54,Bop_5,Exp2_54) != lAss_list_char(A_48,Exp_58) ).
fof(fact_748_exp_Osimps_I100_J,axiom,
! [Exp1_53,Bop_4,Exp2_53,Exp1_52,List1_23,List2_23,Exp2_52] : binOp_list_char(Exp1_53,Bop_4,Exp2_53) != fAss_list_char(Exp1_52,List1_23,List2_23,Exp2_52) ).
fof(fact_749_exp_Osimps_I101_J,axiom,
! [Exp1_51,List1_22,List2_22,Exp2_51,Exp1_50,Bop_3,Exp2_50] : fAss_list_char(Exp1_51,List1_22,List2_22,Exp2_51) != binOp_list_char(Exp1_50,Bop_3,Exp2_50) ).
fof(fact_750_exp_Osimps_I61_J,axiom,
! [Exp1_49,Exp2_49,List_19,Exp_57] : seq_list_char(Exp1_49,Exp2_49) != cast_list_char(List_19,Exp_57) ).
fof(fact_751_exp_Osimps_I60_J,axiom,
! [List_18,Exp_56,Exp1_48,Exp2_48] : cast_list_char(List_18,Exp_56) != seq_list_char(Exp1_48,Exp2_48) ).
fof(fact_752_exp_Osimps_I50_J,axiom,
! [List_17,Exp_55,A_47,Exp_54] : cast_list_char(List_17,Exp_55) != lAss_list_char(A_47,Exp_54) ).
fof(fact_753_exp_Osimps_I51_J,axiom,
! [A_46,Exp_53,List_16,Exp_52] : lAss_list_char(A_46,Exp_53) != cast_list_char(List_16,Exp_52) ).
fof(fact_754_exp_Osimps_I206_J,axiom,
! [Exp1_47,Exp2_47,Exp1_46,Exp2_46,Exp3_7] : seq_list_char(Exp1_47,Exp2_47) != cond_list_char(Exp1_46,Exp2_46,Exp3_7) ).
fof(fact_755_exp_Osimps_I146_J,axiom,
! [A_45,Exp_51,Exp1_45,Exp2_45,Exp3_6] : lAss_list_char(A_45,Exp_51) != cond_list_char(Exp1_45,Exp2_45,Exp3_6) ).
fof(fact_756_exp_Osimps_I54_J,axiom,
! [List_15,Exp_50,Exp1_44,List1_21,List2_21,Exp2_44] : cast_list_char(List_15,Exp_50) != fAss_list_char(Exp1_44,List1_21,List2_21,Exp2_44) ).
fof(fact_757_exp_Osimps_I207_J,axiom,
! [Exp1_43,Exp2_43,Exp3_5,Exp1_42,Exp2_42] : cond_list_char(Exp1_43,Exp2_43,Exp3_5) != seq_list_char(Exp1_42,Exp2_42) ).
fof(fact_758_exp_Osimps_I147_J,axiom,
! [Exp1_41,Exp2_41,Exp3_4,A_44,Exp_49] : cond_list_char(Exp1_41,Exp2_41,Exp3_4) != lAss_list_char(A_44,Exp_49) ).
fof(fact_759_exp_Osimps_I177_J,axiom,
! [Exp1_40,Exp2_40,Exp3_3,Exp1_39,List1_20,List2_20,Exp2_39] : cond_list_char(Exp1_40,Exp2_40,Exp3_3) != fAss_list_char(Exp1_39,List1_20,List2_20,Exp2_39) ).
fof(fact_760_exp_Osimps_I55_J,axiom,
! [Exp1_38,List1_19,List2_19,Exp2_38,List_14,Exp_48] : fAss_list_char(Exp1_38,List1_19,List2_19,Exp2_38) != cast_list_char(List_14,Exp_48) ).
fof(fact_761_exp_Osimps_I176_J,axiom,
! [Exp1_37,List1_18,List2_18,Exp2_37,Exp1_36,Exp2_36,Exp3_2] : fAss_list_char(Exp1_37,List1_18,List2_18,Exp2_37) != cond_list_char(Exp1_36,Exp2_36,Exp3_2) ).
fof(fact_762_exp_Osimps_I161_J,axiom,
! [Exp1_35,Exp2_35,Exp_47,List1_17,List2_17] : seq_list_char(Exp1_35,Exp2_35) != fAcc_list_char(Exp_47,List1_17,List2_17) ).
fof(fact_763_exp_Osimps_I136_J,axiom,
! [A_43,Exp_46,Exp_45,List1_16,List2_16] : lAss_list_char(A_43,Exp_46) != fAcc_list_char(Exp_45,List1_16,List2_16) ).
fof(fact_764_exp_Osimps_I160_J,axiom,
! [Exp_44,List1_15,List2_15,Exp1_34,Exp2_34] : fAcc_list_char(Exp_44,List1_15,List2_15) != seq_list_char(Exp1_34,Exp2_34) ).
fof(fact_765_exp_Osimps_I137_J,axiom,
! [Exp_43,List1_14,List2_14,A_42,Exp_42] : fAcc_list_char(Exp_43,List1_14,List2_14) != lAss_list_char(A_42,Exp_42) ).
fof(fact_766_exp_Osimps_I154_J,axiom,
! [Exp_41,List1_13,List2_13,Exp1_33,List1_12,List2_12,Exp2_33] : fAcc_list_char(Exp_41,List1_13,List2_13) != fAss_list_char(Exp1_33,List1_12,List2_12,Exp2_33) ).
fof(fact_767_exp_Osimps_I155_J,axiom,
! [Exp1_32,List1_11,List2_11,Exp2_32,Exp_40,List1_10,List2_10] : fAss_list_char(Exp1_32,List1_11,List2_11,Exp2_32) != fAcc_list_char(Exp_40,List1_10,List2_10) ).
fof(fact_768_exp_Osimps_I212_J,axiom,
! [Exp1_31,Exp2_31,Exp1_30,List_13,A_41,Exp2_30] : seq_list_char(Exp1_31,Exp2_31) != tryCatch_list_char(Exp1_30,List_13,A_41,Exp2_30) ).
fof(fact_769_exp_Osimps_I152_J,axiom,
! [A_40,Exp_39,Exp1_29,List_12,A_39,Exp2_29] : lAss_list_char(A_40,Exp_39) != tryCatch_list_char(Exp1_29,List_12,A_39,Exp2_29) ).
fof(fact_770_exp_Osimps_I213_J,axiom,
! [Exp1_28,List_11,A_38,Exp2_28,Exp1_27,Exp2_27] : tryCatch_list_char(Exp1_28,List_11,A_38,Exp2_28) != seq_list_char(Exp1_27,Exp2_27) ).
fof(fact_771_exp_Osimps_I153_J,axiom,
! [Exp1_26,List_10,A_37,Exp2_26,A_36,Exp_38] : tryCatch_list_char(Exp1_26,List_10,A_37,Exp2_26) != lAss_list_char(A_36,Exp_38) ).
fof(fact_772_exp_Osimps_I182_J,axiom,
! [Exp1_25,List1_9,List2_9,Exp2_25,Exp1_24,List_9,A_35,Exp2_24] : fAss_list_char(Exp1_25,List1_9,List2_9,Exp2_25) != tryCatch_list_char(Exp1_24,List_9,A_35,Exp2_24) ).
fof(fact_773_exp_Osimps_I183_J,axiom,
! [Exp1_23,List_8,A_34,Exp2_23,Exp1_22,List1_8,List2_8,Exp2_22] : tryCatch_list_char(Exp1_23,List_8,A_34,Exp2_23) != fAss_list_char(Exp1_22,List1_8,List2_8,Exp2_22) ).
fof(fact_774_exp_Osimps_I178_J,axiom,
! [Exp1_21,List1_7,List2_7,Exp2_21,Exp1_20,Exp2_20] : fAss_list_char(Exp1_21,List1_7,List2_7,Exp2_21) != while_list_char(Exp1_20,Exp2_20) ).
fof(fact_775_exp_Osimps_I179_J,axiom,
! [Exp1_19,Exp2_19,Exp1_18,List1_6,List2_6,Exp2_18] : while_list_char(Exp1_19,Exp2_19) != fAss_list_char(Exp1_18,List1_6,List2_6,Exp2_18) ).
fof(fact_776_exp_Osimps_I149_J,axiom,
! [Exp1_17,Exp2_17,A_33,Exp_37] : while_list_char(Exp1_17,Exp2_17) != lAss_list_char(A_33,Exp_37) ).
fof(fact_777_exp_Osimps_I209_J,axiom,
! [Exp1_16,Exp2_16,Exp1_15,Exp2_15] : while_list_char(Exp1_16,Exp2_16) != seq_list_char(Exp1_15,Exp2_15) ).
fof(fact_778_exp_Osimps_I148_J,axiom,
! [A_32,Exp_36,Exp1_14,Exp2_14] : lAss_list_char(A_32,Exp_36) != while_list_char(Exp1_14,Exp2_14) ).
fof(fact_779_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_780_val_Osimps_I5_J,axiom,
null != unit ).
fof(fact_781_val_Osimps_I4_J,axiom,
unit != null ).
fof(fact_782_val_Osimps_I6_J,axiom,
! [Bool_1] : unit != bool(Bool_1) ).
fof(fact_783_val_Osimps_I7_J,axiom,
! [Bool_1] : bool(Bool_1) != unit ).
fof(fact_784_red__reds_OLAssRed,axiom,
! [V,Ea,S_1,E_a,S,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),red(Pa)))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(lAss_list_char(V,Ea),S_1),produc1259058957on_val(lAss_list_char(V,E_a),S)),red(Pa))) ) ).
fof(fact_785_red__reds_OSeqRed,axiom,
! [E_2,Ea,S_1,E_a,S,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),red(Pa)))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(seq_list_char(Ea,E_2),S_1),produc1259058957on_val(seq_list_char(E_a,E_2),S)),red(Pa))) ) ).
fof(fact_786_red__reds_OFAssRed1,axiom,
! [F,D,E_2,Ea,S_1,E_a,S,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),red(Pa)))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(fAss_list_char(Ea,F,D,E_2),S_1),produc1259058957on_val(fAss_list_char(E_a,F,D,E_2),S)),red(Pa))) ) ).
fof(fact_787_red__reds_OCallThrowParams,axiom,
! [V_1,M,S_1,Pa,Esa,Vs_1,Ea,Es_a] :
( Esa = append_exp_list_char(map_va1934808527t_char(val_list_char,Vs_1),cons_exp_list_char(throw_list_char(Ea),Es_a))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(call_list_char(hAPP_v834067052t_char(val_list_char,V_1),M,Esa),S_1),produc1259058957on_val(throw_list_char(Ea),S_1)),red(Pa))) ) ).
fof(fact_788_red__reds_ORedWhile,axiom,
! [B,C_1,S_1,Pa] : hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(while_list_char(B,C_1),S_1),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_1)),red(Pa))) ).
fof(fact_789_red__reds_ORedSeq,axiom,
! [V_1,E_2,S_1,Pa] : hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(seq_list_char(hAPP_v834067052t_char(val_list_char,V_1),E_2),S_1),produc1259058957on_val(E_2,S_1)),red(Pa))) ).
fof(fact_790_red__reds_OSeqThrow,axiom,
! [Ea,E_2,S_1,Pa] : hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(seq_list_char(throw_list_char(Ea),E_2),S_1),produc1259058957on_val(throw_list_char(Ea),S_1)),red(Pa))) ).
fof(fact_791_red__reds_OLAssThrow,axiom,
! [V,Ea,S_1,Pa] : hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(lAss_list_char(V,throw_list_char(Ea)),S_1),produc1259058957on_val(throw_list_char(Ea),S_1)),red(Pa))) ).
fof(fact_792_LAssReds,axiom,
! [V,Ea,S_1,E_a,S,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(lAss_list_char(V,Ea),S_1),produc1259058957on_val(lAss_list_char(V,E_a),S)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_793_SeqReds,axiom,
! [E_2,Ea,S_1,E_a,S,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(seq_list_char(Ea,E_2),S_1),produc1259058957on_val(seq_list_char(E_a,E_2),S)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_794_red__reds_OFAssRed2,axiom,
! [V_1,F,D,Ea,S_1,E_a,S,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),red(Pa)))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(fAss_list_char(hAPP_v834067052t_char(val_list_char,V_1),F,D,Ea),S_1),produc1259058957on_val(fAss_list_char(hAPP_v834067052t_char(val_list_char,V_1),F,D,E_a),S)),red(Pa))) ) ).
fof(fact_795_red__reds_OFAssThrow1,axiom,
! [Ea,F,D,E_2,S_1,Pa] : hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(fAss_list_char(throw_list_char(Ea),F,D,E_2),S_1),produc1259058957on_val(throw_list_char(Ea),S_1)),red(Pa))) ).
fof(fact_796_FAssReds1,axiom,
! [F,D,E_2,Ea,S_1,E_a,S,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(fAss_list_char(Ea,F,D,E_2),S_1),produc1259058957on_val(fAss_list_char(E_a,F,D,E_2),S)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_797_SeqReds2,axiom,
! [E_2,E_2_1,S_2_1,E_1_1,S_0,V_1_1,S_1_1,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(E_1_1,S_0),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_1_1),S_1_1)),transi2024712006on_val(red(Pa))))
=> ( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(E_2,S_1_1),produc1259058957on_val(E_2_1,S_2_1)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(seq_list_char(E_1_1,E_2),S_0),produc1259058957on_val(E_2_1,S_2_1)),transi2024712006on_val(red(Pa)))) ) ) ).
fof(fact_798_WTrt__elim__cases_I4_J,axiom,
! [Pa,Ha,E_1,Ea,T_3] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,throw_list_char(Ea)),T_3))
=> ~ ! [T_r_1] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,Ea),T_r_1))
=> ~ hBOOL(hAPP_ty_bool(is_refT,T_r_1)) ) ) ).
fof(fact_799_map__append,axiom,
! [F_1,Xs,Ys] : map_Pr1267419400har_ty(F_1,append590652462har_ty(Xs,Ys)) = append814478020har_ty(map_Pr1267419400har_ty(F_1,Xs),map_Pr1267419400har_ty(F_1,Ys)) ).
fof(fact_800_map__append,axiom,
! [F_1,Xs,Ys] : map_Pr1471044963har_ty(F_1,append1373980413har_ty(Xs,Ys)) = append590652462har_ty(map_Pr1471044963har_ty(F_1,Xs),map_Pr1471044963har_ty(F_1,Ys)) ).
fof(fact_801_map__append,axiom,
! [F_1,Xs,Ys] : map_list_char_val(F_1,append_list_char(Xs,Ys)) = append_val(map_list_char_val(F_1,Xs),map_list_char_val(F_1,Ys)) ).
fof(fact_802_map__append,axiom,
! [F_1,Xs,Ys] : map_ty_option_ty(F_1,append_ty(Xs,Ys)) = append_option_ty(map_ty_option_ty(F_1,Xs),map_ty_option_ty(F_1,Ys)) ).
fof(fact_803_map__append,axiom,
! [F_1,Xs,Ys] : map_val_option_ty(F_1,append_val(Xs,Ys)) = append_option_ty(map_val_option_ty(F_1,Xs),map_val_option_ty(F_1,Ys)) ).
fof(fact_804_map__append,axiom,
! [F_1,Xs,Ys] : map_va1934808527t_char(F_1,append_val(Xs,Ys)) = append_exp_list_char(map_va1934808527t_char(F_1,Xs),map_va1934808527t_char(F_1,Ys)) ).
fof(fact_805_Cons__eq__appendI,axiom,
! [Xs_6,Zs_4,X_6,Xs1_1,Ys_4] :
( cons_P796333129har_ty(X_6,Xs1_1) = Ys_4
=> ( Xs_6 = append590652462har_ty(Xs1_1,Zs_4)
=> cons_P796333129har_ty(X_6,Xs_6) = append590652462har_ty(Ys_4,Zs_4) ) ) ).
fof(fact_806_Cons__eq__appendI,axiom,
! [Xs_6,Zs_4,X_6,Xs1_1,Ys_4] :
( cons_exp_list_char(X_6,Xs1_1) = Ys_4
=> ( Xs_6 = append_exp_list_char(Xs1_1,Zs_4)
=> cons_exp_list_char(X_6,Xs_6) = append_exp_list_char(Ys_4,Zs_4) ) ) ).
fof(fact_807_Cons__eq__appendI,axiom,
! [Xs_6,Zs_4,X_6,Xs1_1,Ys_4] :
( cons_val(X_6,Xs1_1) = Ys_4
=> ( Xs_6 = append_val(Xs1_1,Zs_4)
=> cons_val(X_6,Xs_6) = append_val(Ys_4,Zs_4) ) ) ).
fof(fact_808_Cons__eq__appendI,axiom,
! [Xs_6,Zs_4,X_6,Xs1_1,Ys_4] :
( cons_ty(X_6,Xs1_1) = Ys_4
=> ( Xs_6 = append_ty(Xs1_1,Zs_4)
=> cons_ty(X_6,Xs_6) = append_ty(Ys_4,Zs_4) ) ) ).
fof(fact_809_Cons__eq__appendI,axiom,
! [Xs_6,Zs_4,X_6,Xs1_1,Ys_4] :
( cons_list_char(X_6,Xs1_1) = Ys_4
=> ( Xs_6 = append_list_char(Xs1_1,Zs_4)
=> cons_list_char(X_6,Xs_6) = append_list_char(Ys_4,Zs_4) ) ) ).
fof(fact_810_append__Cons,axiom,
! [X_5,Xs_5,Ys_3] : append590652462har_ty(cons_P796333129har_ty(X_5,Xs_5),Ys_3) = cons_P796333129har_ty(X_5,append590652462har_ty(Xs_5,Ys_3)) ).
fof(fact_811_append__Cons,axiom,
! [X_5,Xs_5,Ys_3] : append_exp_list_char(cons_exp_list_char(X_5,Xs_5),Ys_3) = cons_exp_list_char(X_5,append_exp_list_char(Xs_5,Ys_3)) ).
fof(fact_812_append__Cons,axiom,
! [X_5,Xs_5,Ys_3] : append_val(cons_val(X_5,Xs_5),Ys_3) = cons_val(X_5,append_val(Xs_5,Ys_3)) ).
fof(fact_813_append__Cons,axiom,
! [X_5,Xs_5,Ys_3] : append_ty(cons_ty(X_5,Xs_5),Ys_3) = cons_ty(X_5,append_ty(Xs_5,Ys_3)) ).
fof(fact_814_append__Cons,axiom,
! [X_5,Xs_5,Ys_3] : append_list_char(cons_list_char(X_5,Xs_5),Ys_3) = cons_list_char(X_5,append_list_char(Xs_5,Ys_3)) ).
fof(fact_815_map_Osimps_I2_J,axiom,
! [F_1,X_2,Xs] : map_Pr1267419400har_ty(F_1,cons_P796333129har_ty(X_2,Xs)) = cons_P1020158687har_ty(hAPP_P385447595har_ty(F_1,X_2),map_Pr1267419400har_ty(F_1,Xs)) ).
fof(fact_816_map_Osimps_I2_J,axiom,
! [F_1,X_2,Xs] : map_Pr1471044963har_ty(F_1,cons_P306092184har_ty(X_2,Xs)) = cons_P796333129har_ty(hAPP_P71962758har_ty(F_1,X_2),map_Pr1471044963har_ty(F_1,Xs)) ).
fof(fact_817_map_Osimps_I2_J,axiom,
! [F_1,X_2,Xs] : map_list_char_val(F_1,cons_list_char(X_2,Xs)) = cons_val(hAPP_list_char_val(F_1,X_2),map_list_char_val(F_1,Xs)) ).
fof(fact_818_map_Osimps_I2_J,axiom,
! [F_1,X_2,Xs] : map_ty_option_ty(F_1,cons_ty(X_2,Xs)) = cons_option_ty(hAPP_ty_option_ty(F_1,X_2),map_ty_option_ty(F_1,Xs)) ).
fof(fact_819_map_Osimps_I2_J,axiom,
! [F_1,X_2,Xs] : map_val_option_ty(F_1,cons_val(X_2,Xs)) = cons_option_ty(hAPP_val_option_ty(F_1,X_2),map_val_option_ty(F_1,Xs)) ).
fof(fact_820_map_Osimps_I2_J,axiom,
! [F_1,X_2,Xs] : map_va1934808527t_char(F_1,cons_val(X_2,Xs)) = cons_exp_list_char(hAPP_v834067052t_char(F_1,X_2),map_va1934808527t_char(F_1,Xs)) ).
fof(fact_821_redp__redsp_OCallThrowParams,axiom,
! [Pa,V_1,M,S_1,Esa,Vs_1,Ea,Es_a] :
( Esa = append_exp_list_char(map_va1934808527t_char(val_list_char,Vs_1),cons_exp_list_char(throw_list_char(Ea),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_1),throw_list_char(Ea)),S_1)) ) ).
fof(fact_822_red__reds_ORedInitBlock,axiom,
! [V,T_3,V_1,U,S_1,Pa] : hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(block_list_char(V,T_3,seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_1)),hAPP_v834067052t_char(val_list_char,U))),S_1),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,U),S_1)),red(Pa))) ).
fof(fact_823_finals__app__map,axiom,
! [Vs_1,Esa] :
( hBOOL(finals_list_char(append_exp_list_char(map_va1934808527t_char(val_list_char,Vs_1),Esa)))
<=> hBOOL(finals_list_char(Esa)) ) ).
fof(fact_824_exp_Osimps_I10_J,axiom,
! [A,Ty_25,Exp_35,A_3,Ty_24,Exp_34] :
( block_list_char(A,Ty_25,Exp_35) = block_list_char(A_3,Ty_24,Exp_34)
<=> ( A = A_3
& Ty_25 = Ty_24
& Exp_35 = Exp_34 ) ) ).
fof(fact_825_redp__redsp_ORedBlock,axiom,
! [Pa,V,T_3,U,S_1] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(V,T_3,hAPP_v834067052t_char(val_list_char,U)),S_1),hAPP_v834067052t_char(val_list_char,U)),S_1)) ).
fof(fact_826_redp__redsp_OThrowThrow,axiom,
! [Pa,Ea,S_1] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,throw_list_char(throw_list_char(Ea)),S_1),throw_list_char(Ea)),S_1)) ).
fof(fact_827_redp__redsp_OThrowRed,axiom,
! [Pa,Ea,S_1,E_a,S] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S_1),E_a),S))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,throw_list_char(Ea),S_1),throw_list_char(E_a)),S)) ) ).
fof(fact_828_redp__redsp_OSeqRed,axiom,
! [E_2,Pa,Ea,S_1,E_a,S] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S_1),E_a),S))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,seq_list_char(Ea,E_2),S_1),seq_list_char(E_a,E_2)),S)) ) ).
fof(fact_829_redp__redsp_OLAssRed,axiom,
! [V,Pa,Ea,S_1,E_a,S] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S_1),E_a),S))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,lAss_list_char(V,Ea),S_1),lAss_list_char(V,E_a)),S)) ) ).
fof(fact_830_redp__redsp_OCallObj,axiom,
! [M,Esa,Pa,Ea,S_1,E_a,S] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S_1),E_a),S))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,call_list_char(Ea,M,Esa),S_1),call_list_char(E_a,M,Esa)),S)) ) ).
fof(fact_831_redp__redsp_OFAssRed1,axiom,
! [F,D,E_2,Pa,Ea,S_1,E_a,S] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S_1),E_a),S))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(Ea,F,D,E_2),S_1),fAss_list_char(E_a,F,D,E_2)),S)) ) ).
fof(fact_832_redp__redsp_OBinOpRed1,axiom,
! [Bop,E_2,Pa,Ea,S_1,E_a,S] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S_1),E_a),S))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,binOp_list_char(Ea,Bop,E_2),S_1),binOp_list_char(E_a,Bop,E_2)),S)) ) ).
fof(fact_833_redp__redsp_OCastRed,axiom,
! [C,Pa,Ea,S_1,E_a,S] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S_1),E_a),S))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cast_list_char(C,Ea),S_1),cast_list_char(C,E_a)),S)) ) ).
fof(fact_834_redp__redsp_OCondRed,axiom,
! [E_1_1,E_2,Pa,Ea,S_1,E_a,S] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S_1),E_a),S))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cond_list_char(Ea,E_1_1,E_2),S_1),cond_list_char(E_a,E_1_1,E_2)),S)) ) ).
fof(fact_835_redp__redsp_OFAccRed,axiom,
! [F,D,Pa,Ea,S_1,E_a,S] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S_1),E_a),S))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAcc_list_char(Ea,F,D),S_1),fAcc_list_char(E_a,F,D)),S)) ) ).
fof(fact_836_redp__redsp_OTryRed,axiom,
! [C,V,E_2,Pa,Ea,S_1,E_a,S] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S_1),E_a),S))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,tryCatch_list_char(Ea,C,V,E_2),S_1),tryCatch_list_char(E_a,C,V,E_2)),S)) ) ).
fof(fact_837_exp_Osimps_I83_J,axiom,
! [A_31,Ty_23,Exp_33,Val_1] : block_list_char(A_31,Ty_23,Exp_33) != hAPP_v834067052t_char(val_list_char,Val_1) ).
fof(fact_838_exp_Osimps_I82_J,axiom,
! [Val,A_30,Ty_22,Exp_32] : hAPP_v834067052t_char(val_list_char,Val) != block_list_char(A_30,Ty_22,Exp_32) ).
fof(fact_839_exp_Osimps_I203_J,axiom,
! [Exp_31,A_29,Ty_21,Exp_30] : throw_list_char(Exp_31) != block_list_char(A_29,Ty_21,Exp_30) ).
fof(fact_840_exp_Osimps_I202_J,axiom,
! [A_28,Ty_20,Exp_29,Exp_28] : block_list_char(A_28,Ty_20,Exp_29) != throw_list_char(Exp_28) ).
fof(fact_841_exp_Osimps_I197_J,axiom,
! [Exp1_11,Exp2_11,A_27,Ty_19,Exp_27] : seq_list_char(Exp1_11,Exp2_11) != block_list_char(A_27,Ty_19,Exp_27) ).
fof(fact_842_exp_Osimps_I142_J,axiom,
! [A_26,Exp_26,A_25,Ty_18,Exp_25] : lAss_list_char(A_26,Exp_26) != block_list_char(A_25,Ty_18,Exp_25) ).
fof(fact_843_exp_Osimps_I196_J,axiom,
! [A_24,Ty_17,Exp_24,Exp1_10,Exp2_10] : block_list_char(A_24,Ty_17,Exp_24) != seq_list_char(Exp1_10,Exp2_10) ).
fof(fact_844_exp_Osimps_I143_J,axiom,
! [A_23,Ty_16,Exp_23,A_22,Exp_22] : block_list_char(A_23,Ty_16,Exp_23) != lAss_list_char(A_22,Exp_22) ).
fof(fact_845_exp_Osimps_I185_J,axiom,
! [A_21,Ty_15,Exp_21,Exp_20,List1_5,List2_5] : block_list_char(A_21,Ty_15,Exp_21) != call_list_char(Exp_20,List1_5,List2_5) ).
fof(fact_846_exp_Osimps_I184_J,axiom,
! [Exp_19,List1_4,List2_4,A_20,Ty_14,Exp_18] : call_list_char(Exp_19,List1_4,List2_4) != block_list_char(A_20,Ty_14,Exp_18) ).
fof(fact_847_exp_Osimps_I173_J,axiom,
! [A_19,Ty_13,Exp_17,Exp1_9,List1_3,List2_3,Exp2_9] : block_list_char(A_19,Ty_13,Exp_17) != fAss_list_char(Exp1_9,List1_3,List2_3,Exp2_9) ).
fof(fact_848_exp_Osimps_I172_J,axiom,
! [Exp1_8,List1_2,List2_2,Exp2_8,A_18,Ty_12,Exp_16] : fAss_list_char(Exp1_8,List1_2,List2_2,Exp2_8) != block_list_char(A_18,Ty_12,Exp_16) ).
fof(fact_849_exp_Osimps_I105_J,axiom,
! [A_17,Ty_11,Exp_15,Exp1_7,Bop_2,Exp2_7] : block_list_char(A_17,Ty_11,Exp_15) != binOp_list_char(Exp1_7,Bop_2,Exp2_7) ).
fof(fact_850_exp_Osimps_I104_J,axiom,
! [Exp1_6,Bop_1,Exp2_6,A_16,Ty_10,Exp_14] : binOp_list_char(Exp1_6,Bop_1,Exp2_6) != block_list_char(A_16,Ty_10,Exp_14) ).
fof(fact_851_exp_Osimps_I198_J,axiom,
! [A_15,Ty_9,Exp_13,Exp1_5,Exp2_5,Exp3_1] : block_list_char(A_15,Ty_9,Exp_13) != cond_list_char(Exp1_5,Exp2_5,Exp3_1) ).
fof(fact_852_exp_Osimps_I199_J,axiom,
! [Exp1_4,Exp2_4,Exp3,A_14,Ty_8,Exp_12] : cond_list_char(Exp1_4,Exp2_4,Exp3) != block_list_char(A_14,Ty_8,Exp_12) ).
fof(fact_853_exp_Osimps_I59_J,axiom,
! [A_13,Ty_7,Exp_11,List_7,Exp_10] : block_list_char(A_13,Ty_7,Exp_11) != cast_list_char(List_7,Exp_10) ).
fof(fact_854_exp_Osimps_I58_J,axiom,
! [List_6,Exp_9,A_12,Ty_6,Exp_8] : cast_list_char(List_6,Exp_9) != block_list_char(A_12,Ty_6,Exp_8) ).
fof(fact_855_exp_Osimps_I159_J,axiom,
! [A_11,Ty_5,Exp_7,Exp_6,List1_1,List2_1] : block_list_char(A_11,Ty_5,Exp_7) != fAcc_list_char(Exp_6,List1_1,List2_1) ).
fof(fact_856_exp_Osimps_I158_J,axiom,
! [Exp_5,List1,List2,A_10,Ty_4,Exp_4] : fAcc_list_char(Exp_5,List1,List2) != block_list_char(A_10,Ty_4,Exp_4) ).
fof(fact_857_exp_Osimps_I201_J,axiom,
! [Exp1_3,Exp2_3,A_9,Ty_3,Exp_3] : while_list_char(Exp1_3,Exp2_3) != block_list_char(A_9,Ty_3,Exp_3) ).
fof(fact_858_exp_Osimps_I200_J,axiom,
! [A_8,Ty_2,Exp_2,Exp1_2,Exp2_2] : block_list_char(A_8,Ty_2,Exp_2) != while_list_char(Exp1_2,Exp2_2) ).
fof(fact_859_exp_Osimps_I205_J,axiom,
! [Exp1_1,List_5,A_7,Exp2_1,A_6,Ty_1,Exp_1] : tryCatch_list_char(Exp1_1,List_5,A_7,Exp2_1) != block_list_char(A_6,Ty_1,Exp_1) ).
fof(fact_860_exp_Osimps_I204_J,axiom,
! [A_5,Ty,Exp,Exp1,List_4,A_4,Exp2] : block_list_char(A_5,Ty,Exp) != tryCatch_list_char(Exp1,List_4,A_4,Exp2) ).
fof(fact_861_redp__redsp_ORedInitBlock,axiom,
! [Pa,V,T_3,V_1,U,S_1] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(V,T_3,seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_1)),hAPP_v834067052t_char(val_list_char,U))),S_1),hAPP_v834067052t_char(val_list_char,U)),S_1)) ).
fof(fact_862_redp__redsp_ORedSeq,axiom,
! [Pa,V_1,E_2,S_1] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,seq_list_char(hAPP_v834067052t_char(val_list_char,V_1),E_2),S_1),E_2),S_1)) ).
fof(fact_863_redp__redsp_OFAssRed2,axiom,
! [V_1,F,D,Pa,Ea,S_1,E_a,S] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S_1),E_a),S))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(hAPP_v834067052t_char(val_list_char,V_1),F,D,Ea),S_1),fAss_list_char(hAPP_v834067052t_char(val_list_char,V_1),F,D,E_a)),S)) ) ).
fof(fact_864_redp__redsp_OBinOpRed2,axiom,
! [V_1_1,Bop,Pa,Ea,S_1,E_a,S] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S_1),E_a),S))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_1),Bop,Ea),S_1),binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_1),Bop,E_a)),S)) ) ).
fof(fact_865_redp__redsp_OSeqThrow,axiom,
! [Pa,Ea,E_2,S_1] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,seq_list_char(throw_list_char(Ea),E_2),S_1),throw_list_char(Ea)),S_1)) ).
fof(fact_866_redp__redsp_OLAssThrow,axiom,
! [Pa,V,Ea,S_1] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,lAss_list_char(V,throw_list_char(Ea)),S_1),throw_list_char(Ea)),S_1)) ).
fof(fact_867_redp__redsp_OCallThrowObj,axiom,
! [Pa,Ea,M,Esa,S_1] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,call_list_char(throw_list_char(Ea),M,Esa),S_1),throw_list_char(Ea)),S_1)) ).
fof(fact_868_redp__redsp_OFAssThrow1,axiom,
! [Pa,Ea,F,D,E_2,S_1] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(throw_list_char(Ea),F,D,E_2),S_1),throw_list_char(Ea)),S_1)) ).
fof(fact_869_redp__redsp_OBinOpThrow1,axiom,
! [Pa,Ea,Bop,E_2,S_1] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,binOp_list_char(throw_list_char(Ea),Bop,E_2),S_1),throw_list_char(Ea)),S_1)) ).
fof(fact_870_redp__redsp_OCondThrow,axiom,
! [Pa,Ea,E_1_1,E_2,S_1] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cond_list_char(throw_list_char(Ea),E_1_1,E_2),S_1),throw_list_char(Ea)),S_1)) ).
fof(fact_871_redp__redsp_OCastThrow,axiom,
! [Pa,C,Ea,S_1] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cast_list_char(C,throw_list_char(Ea)),S_1),throw_list_char(Ea)),S_1)) ).
fof(fact_872_redp__redsp_ORedTry,axiom,
! [Pa,V_1,C,V,E_2,S_1] : 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_1),hAPP_v834067052t_char(val_list_char,V_1)),S_1)) ).
fof(fact_873_redp__redsp_OFAccThrow,axiom,
! [Pa,Ea,F,D,S_1] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAcc_list_char(throw_list_char(Ea),F,D),S_1),throw_list_char(Ea)),S_1)) ).
fof(fact_874_redp__redsp_OFAssThrow2,axiom,
! [Pa,V_1,F,D,Ea,S_1] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(hAPP_v834067052t_char(val_list_char,V_1),F,D,throw_list_char(Ea)),S_1),throw_list_char(Ea)),S_1)) ).
fof(fact_875_redp__redsp_OBinOpThrow2,axiom,
! [Pa,V_1_1,Bop,Ea,S_1] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_1),Bop,throw_list_char(Ea)),S_1),throw_list_char(Ea)),S_1)) ).
fof(fact_876_redp__redsp_ORedCastNull,axiom,
! [Pa,C,S_1] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cast_list_char(C,hAPP_v834067052t_char(val_list_char,null)),S_1),hAPP_v834067052t_char(val_list_char,null)),S_1)) ).
fof(fact_877_redp__redsp_ORedCondT,axiom,
! [Pa,E_1_1,E_2,S_1] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cond_list_char(hAPP_v834067052t_char(val_list_char,bool(fTrue)),E_1_1,E_2),S_1),E_1_1),S_1)) ).
fof(fact_878_redp__redsp_ORedCondF,axiom,
! [Pa,E_1_1,E_2,S_1] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cond_list_char(hAPP_v834067052t_char(val_list_char,bool(fFalse)),E_1_1,E_2),S_1),E_2),S_1)) ).
fof(fact_879_list_Oinject,axiom,
! [A,List_3,A_3,List_2] :
( cons_val(A,List_3) = cons_val(A_3,List_2)
<=> ( A = A_3
& List_3 = List_2 ) ) ).
fof(fact_880_list_Oinject,axiom,
! [A,List_3,A_3,List_2] :
( cons_ty(A,List_3) = cons_ty(A_3,List_2)
<=> ( A = A_3
& List_3 = List_2 ) ) ).
fof(fact_881_list_Oinject,axiom,
! [A,List_3,A_3,List_2] :
( cons_list_char(A,List_3) = cons_list_char(A_3,List_2)
<=> ( A = A_3
& List_3 = List_2 ) ) ).
fof(fact_882_list_Oinject,axiom,
! [A,List_3,A_3,List_2] :
( cons_exp_list_char(A,List_3) = cons_exp_list_char(A_3,List_2)
<=> ( A = A_3
& List_3 = List_2 ) ) ).
fof(fact_883_not__Cons__self2,axiom,
! [X_4,Xs_4] : cons_val(X_4,Xs_4) != Xs_4 ).
fof(fact_884_not__Cons__self2,axiom,
! [X_4,Xs_4] : cons_ty(X_4,Xs_4) != Xs_4 ).
fof(fact_885_not__Cons__self2,axiom,
! [X_4,Xs_4] : cons_list_char(X_4,Xs_4) != Xs_4 ).
fof(fact_886_not__Cons__self2,axiom,
! [X_4,Xs_4] : cons_exp_list_char(X_4,Xs_4) != Xs_4 ).
fof(fact_887_not__Cons__self,axiom,
! [Xs_3,X_3] : Xs_3 != cons_val(X_3,Xs_3) ).
fof(fact_888_not__Cons__self,axiom,
! [Xs_3,X_3] : Xs_3 != cons_ty(X_3,Xs_3) ).
fof(fact_889_not__Cons__self,axiom,
! [Xs_3,X_3] : Xs_3 != cons_list_char(X_3,Xs_3) ).
fof(fact_890_not__Cons__self,axiom,
! [Xs_3,X_3] : Xs_3 != cons_exp_list_char(X_3,Xs_3) ).
fof(fact_891_append__eq__appendI,axiom,
! [Ys_2,Us_1,Xs_2,Xs1,Zs_3] :
( append590652462har_ty(Xs_2,Xs1) = Zs_3
=> ( Ys_2 = append590652462har_ty(Xs1,Us_1)
=> append590652462har_ty(Xs_2,Ys_2) = append590652462har_ty(Zs_3,Us_1) ) ) ).
fof(fact_892_append__eq__appendI,axiom,
! [Ys_2,Us_1,Xs_2,Xs1,Zs_3] :
( append_exp_list_char(Xs_2,Xs1) = Zs_3
=> ( Ys_2 = append_exp_list_char(Xs1,Us_1)
=> append_exp_list_char(Xs_2,Ys_2) = append_exp_list_char(Zs_3,Us_1) ) ) ).
fof(fact_893_append__same__eq,axiom,
! [Ys,Xs,Zs_2] :
( append590652462har_ty(Ys,Xs) = append590652462har_ty(Zs_2,Xs)
<=> Ys = Zs_2 ) ).
fof(fact_894_append__same__eq,axiom,
! [Ys,Xs,Zs_2] :
( append_exp_list_char(Ys,Xs) = append_exp_list_char(Zs_2,Xs)
<=> Ys = Zs_2 ) ).
fof(fact_895_same__append__eq,axiom,
! [Xs,Ys,Zs_2] :
( append590652462har_ty(Xs,Ys) = append590652462har_ty(Xs,Zs_2)
<=> Ys = Zs_2 ) ).
fof(fact_896_same__append__eq,axiom,
! [Xs,Ys,Zs_2] :
( append_exp_list_char(Xs,Ys) = append_exp_list_char(Xs,Zs_2)
<=> Ys = Zs_2 ) ).
fof(fact_897_append__eq__append__conv2,axiom,
! [Xs,Ys,Zs_2,Ts_3] :
( append590652462har_ty(Xs,Ys) = append590652462har_ty(Zs_2,Ts_3)
<=> ? [Us] :
( ( Xs = append590652462har_ty(Zs_2,Us)
& append590652462har_ty(Us,Ys) = Ts_3 )
| ( append590652462har_ty(Xs,Us) = Zs_2
& Ys = append590652462har_ty(Us,Ts_3) ) ) ) ).
fof(fact_898_append__eq__append__conv2,axiom,
! [Xs,Ys,Zs_2,Ts_3] :
( append_exp_list_char(Xs,Ys) = append_exp_list_char(Zs_2,Ts_3)
<=> ? [Us] :
( ( Xs = append_exp_list_char(Zs_2,Us)
& append_exp_list_char(Us,Ys) = Ts_3 )
| ( append_exp_list_char(Xs,Us) = Zs_2
& Ys = append_exp_list_char(Us,Ts_3) ) ) ) ).
fof(fact_899_append__assoc,axiom,
! [Xs_1,Ys_1,Zs_1] : append590652462har_ty(append590652462har_ty(Xs_1,Ys_1),Zs_1) = append590652462har_ty(Xs_1,append590652462har_ty(Ys_1,Zs_1)) ).
fof(fact_900_append__assoc,axiom,
! [Xs_1,Ys_1,Zs_1] : append_exp_list_char(append_exp_list_char(Xs_1,Ys_1),Zs_1) = append_exp_list_char(Xs_1,append_exp_list_char(Ys_1,Zs_1)) ).
fof(fact_901_red__reds_ORedBlock,axiom,
! [V,T_3,U,S_1,Pa] : hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(block_list_char(V,T_3,hAPP_v834067052t_char(val_list_char,U)),S_1),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,U),S_1)),red(Pa))) ).
fof(fact_902_redp__redsp_ORedWhile,axiom,
! [Pa,B,C_1,S_1] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,while_list_char(B,C_1),S_1),cond_list_char(B,seq_list_char(C_1,while_list_char(B,C_1)),hAPP_v834067052t_char(val_list_char,unit))),S_1)) ).
fof(fact_903_not__finals__ConsI,axiom,
! [Es_2,E_7] :
( ~ hBOOL(final_list_char(E_7))
=> ~ hBOOL(finals_list_char(cons_exp_list_char(E_7,Es_2))) ) ).
fof(fact_904_Cons__eq__map__conv,axiom,
! [X_2,Xs,F_1,Ys] :
( cons_P1020158687har_ty(X_2,Xs) = map_Pr1267419400har_ty(F_1,Ys)
<=> ? [Z,Zs] :
( Ys = cons_P796333129har_ty(Z,Zs)
& X_2 = hAPP_P385447595har_ty(F_1,Z)
& Xs = map_Pr1267419400har_ty(F_1,Zs) ) ) ).
fof(fact_905_Cons__eq__map__conv,axiom,
! [X_2,Xs,F_1,Ys] :
( cons_P796333129har_ty(X_2,Xs) = map_Pr1471044963har_ty(F_1,Ys)
<=> ? [Z,Zs] :
( Ys = cons_P306092184har_ty(Z,Zs)
& X_2 = hAPP_P71962758har_ty(F_1,Z)
& Xs = map_Pr1471044963har_ty(F_1,Zs) ) ) ).
fof(fact_906_Cons__eq__map__conv,axiom,
! [X_2,Xs,F_1,Ys] :
( cons_val(X_2,Xs) = map_list_char_val(F_1,Ys)
<=> ? [Z,Zs] :
( Ys = cons_list_char(Z,Zs)
& X_2 = hAPP_list_char_val(F_1,Z)
& Xs = map_list_char_val(F_1,Zs) ) ) ).
fof(fact_907_Cons__eq__map__conv,axiom,
! [X_2,Xs,F_1,Ys] :
( cons_option_ty(X_2,Xs) = map_ty_option_ty(F_1,Ys)
<=> ? [Z,Zs] :
( Ys = cons_ty(Z,Zs)
& X_2 = hAPP_ty_option_ty(F_1,Z)
& Xs = map_ty_option_ty(F_1,Zs) ) ) ).
fof(fact_908_Cons__eq__map__conv,axiom,
! [X_2,Xs,F_1,Ys] :
( cons_option_ty(X_2,Xs) = map_val_option_ty(F_1,Ys)
<=> ? [Z,Zs] :
( Ys = cons_val(Z,Zs)
& X_2 = hAPP_val_option_ty(F_1,Z)
& Xs = map_val_option_ty(F_1,Zs) ) ) ).
fof(fact_909_Cons__eq__map__conv,axiom,
! [X_2,Xs,F_1,Ys] :
( cons_exp_list_char(X_2,Xs) = map_va1934808527t_char(F_1,Ys)
<=> ? [Z,Zs] :
( Ys = cons_val(Z,Zs)
& X_2 = hAPP_v834067052t_char(F_1,Z)
& Xs = map_va1934808527t_char(F_1,Zs) ) ) ).
fof(fact_910_map__eq__Cons__conv,axiom,
! [F_1,Xs,Y_1,Ys] :
( map_Pr1267419400har_ty(F_1,Xs) = cons_P1020158687har_ty(Y_1,Ys)
<=> ? [Z,Zs] :
( Xs = cons_P796333129har_ty(Z,Zs)
& hAPP_P385447595har_ty(F_1,Z) = Y_1
& map_Pr1267419400har_ty(F_1,Zs) = Ys ) ) ).
fof(fact_911_map__eq__Cons__conv,axiom,
! [F_1,Xs,Y_1,Ys] :
( map_Pr1471044963har_ty(F_1,Xs) = cons_P796333129har_ty(Y_1,Ys)
<=> ? [Z,Zs] :
( Xs = cons_P306092184har_ty(Z,Zs)
& hAPP_P71962758har_ty(F_1,Z) = Y_1
& map_Pr1471044963har_ty(F_1,Zs) = Ys ) ) ).
fof(fact_912_map__eq__Cons__conv,axiom,
! [F_1,Xs,Y_1,Ys] :
( map_list_char_val(F_1,Xs) = cons_val(Y_1,Ys)
<=> ? [Z,Zs] :
( Xs = cons_list_char(Z,Zs)
& hAPP_list_char_val(F_1,Z) = Y_1
& map_list_char_val(F_1,Zs) = Ys ) ) ).
fof(fact_913_map__eq__Cons__conv,axiom,
! [F_1,Xs,Y_1,Ys] :
( map_ty_option_ty(F_1,Xs) = cons_option_ty(Y_1,Ys)
<=> ? [Z,Zs] :
( Xs = cons_ty(Z,Zs)
& hAPP_ty_option_ty(F_1,Z) = Y_1
& map_ty_option_ty(F_1,Zs) = Ys ) ) ).
fof(fact_914_map__eq__Cons__conv,axiom,
! [F_1,Xs,Y_1,Ys] :
( map_val_option_ty(F_1,Xs) = cons_option_ty(Y_1,Ys)
<=> ? [Z,Zs] :
( Xs = cons_val(Z,Zs)
& hAPP_val_option_ty(F_1,Z) = Y_1
& map_val_option_ty(F_1,Zs) = Ys ) ) ).
fof(fact_915_map__eq__Cons__conv,axiom,
! [F_1,Xs,Y_1,Ys] :
( map_va1934808527t_char(F_1,Xs) = cons_exp_list_char(Y_1,Ys)
<=> ? [Z,Zs] :
( Xs = cons_val(Z,Zs)
& hAPP_v834067052t_char(F_1,Z) = Y_1
& map_va1934808527t_char(F_1,Zs) = Ys ) ) ).
fof(fact_916_blocks_Osimps_I1_J,axiom,
! [V_6,Vs_4,T_4,Ts_2,V_3,Vs_3,E_6] : blocks(produc921874948t_char(cons_list_char(V_6,Vs_4),produc1909267824t_char(cons_ty(T_4,Ts_2),produc1916172923t_char(cons_val(V_3,Vs_3),E_6)))) = block_list_char(V_6,T_4,seq_list_char(lAss_list_char(V_6,hAPP_v834067052t_char(val_list_char,V_3)),blocks(produc921874948t_char(Vs_4,produc1909267824t_char(Ts_2,produc1916172923t_char(Vs_3,E_6)))))) ).
fof(fact_917_red__reds_OInitBlockThrow,axiom,
! [V,T_3,V_1,A,S_1,Pa] : hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(block_list_char(V,T_3,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_1),produc1259058957on_val(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A))),S_1)),red(Pa))) ).
fof(fact_918_redp__redsp_OCallParams,axiom,
! [V_1,M,Pa,Esa,S_1,Es_a,S] :
( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(redsp(Pa,Esa,S_1),Es_a),S))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,call_list_char(hAPP_v834067052t_char(val_list_char,V_1),M,Esa),S_1),call_list_char(hAPP_v834067052t_char(val_list_char,V_1),M,Es_a)),S)) ) ).
fof(fact_919_val_Osimps_I3_J,axiom,
! [Nat_2,Nat_1] :
( addr(Nat_2) = addr(Nat_1)
<=> Nat_2 = Nat_1 ) ).
fof(fact_920_val_Osimps_I16_J,axiom,
! [Nat] : null != addr(Nat) ).
fof(fact_921_val_Osimps_I17_J,axiom,
! [Nat] : addr(Nat) != null ).
fof(fact_922_val_Osimps_I21_J,axiom,
! [Nat_1,Bool] : addr(Nat_1) != bool(Bool) ).
fof(fact_923_val_Osimps_I20_J,axiom,
! [Bool,Nat_1] : bool(Bool) != addr(Nat_1) ).
fof(fact_924_val_Osimps_I11_J,axiom,
! [Nat] : addr(Nat) != unit ).
fof(fact_925_val_Osimps_I10_J,axiom,
! [Nat] : unit != addr(Nat) ).
fof(fact_926_final__def,axiom,
! [Ea] :
( hBOOL(final_list_char(Ea))
<=> ( ? [V_4] : Ea = hAPP_v834067052t_char(val_list_char,V_4)
| ? [A_1] : Ea = throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1))) ) ) ).
fof(fact_927_redp__redsp_OBlockThrow,axiom,
! [Pa,V,T_3,A,S_1] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(V,T_3,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),S_1),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),S_1)) ).
fof(fact_928_redp__redsp_OListRed2,axiom,
! [V_1,Pa,Esa,S_1,Es_a,S] :
( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(redsp(Pa,Esa,S_1),Es_a),S))
=> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(redsp(Pa,cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V_1),Esa),S_1),cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V_1),Es_a)),S)) ) ).
fof(fact_929_redp__redsp_OListRed1,axiom,
! [Esa,Pa,Ea,S_1,E_a,S] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S_1),E_a),S))
=> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(redsp(Pa,cons_exp_list_char(Ea,Esa),S_1),cons_exp_list_char(E_a,Esa)),S)) ) ).
fof(fact_930_red__reds_OBlockThrow,axiom,
! [V,T_3,A,S_1,Pa] : hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(block_list_char(V,T_3,throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),S_1),produc1259058957on_val(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A))),S_1)),red(Pa))) ).
fof(fact_931_redp__redsp_OInitBlockThrow,axiom,
! [Pa,V,T_3,V_1,A,S_1] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(V,T_3,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_1),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),S_1)) ).
fof(fact_932_finals__def,axiom,
! [Esa] :
( hBOOL(finals_list_char(Esa))
<=> ( ? [Vs_2] : Esa = map_va1934808527t_char(val_list_char,Vs_2)
| ? [Vs_2,A_1,Es_1] : Esa = append_exp_list_char(map_va1934808527t_char(val_list_char,Vs_2),cons_exp_list_char(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1))),Es_1)) ) ) ).
fof(fact_933_CallRedsNull,axiom,
! [M,Esa,Vs_1,S_2_1,Ea,S_0,S_1_1,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_0),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,null),S_1_1)),transi2024712006on_val(red(Pa))))
=> ( hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(Esa,S_1_1),produc379668296on_val(map_va1934808527t_char(val_list_char,Vs_1),S_2_1)),transi374442731on_val(reds(Pa))))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(call_list_char(Ea,M,Esa),S_0),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_934_finalE,axiom,
! [E_5] :
( hBOOL(final_list_char(E_5))
=> ( ! [V_4] : E_5 != hAPP_v834067052t_char(val_list_char,V_4)
=> ~ ! [A_1] : E_5 != throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1))) ) ) ).
fof(fact_935_WTrtCons,axiom,
! [Esa,Ts,Pa,Ha,E_1,Ea,T_3] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,Ea),T_3))
=> ( hBOOL(wTrts(Pa,Ha,E_1,Esa,Ts))
=> hBOOL(wTrts(Pa,Ha,E_1,cons_exp_list_char(Ea,Esa),cons_ty(T_3,Ts))) ) ) ).
fof(fact_936_red__reds_ORedCallNull,axiom,
! [M,Vs_1,S_1,Pa] : hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(call_list_char(hAPP_v834067052t_char(val_list_char,null),M,map_va1934808527t_char(val_list_char,Vs_1)),S_1),produc1259058957on_val(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer)))),S_1)),red(Pa))) ).
fof(fact_937_WTrts__hext__mono,axiom,
! [H_a,Pa,Ha,E_1,Esa,Ts] :
( hBOOL(wTrts(Pa,Ha,E_1,Esa,Ts))
=> ( hBOOL(hext(Ha,H_a))
=> hBOOL(wTrts(Pa,H_a,E_1,Esa,Ts)) ) ) ).
fof(fact_938_redp__redsp_ORedThrowNull,axiom,
! [Pa,S_1] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,throw_list_char(hAPP_v834067052t_char(val_list_char,null)),S_1),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_1)) ).
fof(fact_939_redp__redsp_ORedFAssNull,axiom,
! [Pa,F,D,V_1,S_1] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(hAPP_v834067052t_char(val_list_char,null),F,D,hAPP_v834067052t_char(val_list_char,V_1)),S_1),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_1)) ).
fof(fact_940_redp__redsp_ORedFAccNull,axiom,
! [Pa,F,D,S_1] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAcc_list_char(hAPP_v834067052t_char(val_list_char,null),F,D),S_1),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_1)) ).
fof(fact_941_red__reds_ORedThrowNull,axiom,
! [S_1,Pa] : hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(throw_list_char(hAPP_v834067052t_char(val_list_char,null)),S_1),produc1259058957on_val(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer)))),S_1)),red(Pa))) ).
fof(fact_942_redp__redsp_ORedCallNull,axiom,
! [Pa,M,Vs_1,S_1] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,call_list_char(hAPP_v834067052t_char(val_list_char,null),M,map_va1934808527t_char(val_list_char,Vs_1)),S_1),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_1)) ).
fof(fact_943_ThrowRedsNull,axiom,
! [Ea,S_1,S,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,null),S)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(throw_list_char(Ea),S_1),produc1259058957on_val(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer)))),S)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_944_red__reds_ORedFAssNull,axiom,
! [F,D,V_1,S_1,Pa] : hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(fAss_list_char(hAPP_v834067052t_char(val_list_char,null),F,D,hAPP_v834067052t_char(val_list_char,V_1)),S_1),produc1259058957on_val(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer)))),S_1)),red(Pa))) ).
fof(fact_945_red__reds_ORedFAccNull,axiom,
! [F,D,S_1,Pa] : hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(fAcc_list_char(hAPP_v834067052t_char(val_list_char,null),F,D),S_1),produc1259058957on_val(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer)))),S_1)),red(Pa))) ).
fof(fact_946_FAssRedsNull,axiom,
! [F,D,E_2,V_1,S_2_1,E_1_1,S_0,S_1_1,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(E_1_1,S_0),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,null),S_1_1)),transi2024712006on_val(red(Pa))))
=> ( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(E_2,S_1_1),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_1),S_2_1)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(fAss_list_char(E_1_1,F,D,E_2),S_0),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_947_FAccRedsNull,axiom,
! [F,D,Ea,S_1,S,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,null),S)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(fAcc_list_char(Ea,F,D),S_1),produc1259058957on_val(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer)))),S)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_948_FAccNull,axiom,
! [F,D,Pa,Ea,S_0,S_1_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,null)),S_1_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAcc_list_char(Ea,F,D),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_1_1)) ) ).
fof(fact_949_FAssNull,axiom,
! [F,D,E_2,V_1,S_2_1,Pa,E_1_1,S_0,S_1_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_0),hAPP_v834067052t_char(val_list_char,null)),S_1_1))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_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_1,F,D,E_2),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_2_1)) ) ) ).
fof(fact_950_ThrowNull,axiom,
! [Pa,Ea,S_0,S_1_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,null)),S_1_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,throw_list_char(Ea),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_1_1)) ) ).
fof(fact_951_the__Addr_Osimps,axiom,
! [A_2] : the_Addr(addr(A_2)) = A_2 ).
fof(fact_952_unfold__while,axiom,
! [Pa,B,C_1,S_1,E_a,S] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(B,C_1),S_1),E_a),S))
<=> 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_1),E_a),S)) ) ).
fof(fact_953_eval__evals_OThrowThrow,axiom,
! [Pa,Ea,S_0,E_a,S_1_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),throw_list_char(E_a)),S_1_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,throw_list_char(Ea),S_0),throw_list_char(E_a)),S_1_1)) ) ).
fof(fact_954_Val,axiom,
! [Pa,V_1,S_1] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,hAPP_v834067052t_char(val_list_char,V_1),S_1),hAPP_v834067052t_char(val_list_char,V_1)),S_1)) ).
fof(fact_955_eval__cases_I2_J,axiom,
! [Pa,V_1,S_1,E_a,S] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,hAPP_v834067052t_char(val_list_char,V_1),S_1),E_a),S))
=> ~ ( E_a = hAPP_v834067052t_char(val_list_char,V_1)
=> S != S_1 ) ) ).
fof(fact_956_eval__finalId,axiom,
! [Pa,S_1,Ea] :
( hBOOL(final_list_char(Ea))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),Ea),S_1)) ) ).
fof(fact_957_eval__final,axiom,
! [Pa,Ea,S_1,E_a,S] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),E_a),S))
=> hBOOL(final_list_char(E_a)) ) ).
fof(fact_958_Seq,axiom,
! [E_1_1,E_2,S_2_1,Pa,E_0,S_0,V_1,S_1_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_0,S_0),hAPP_v834067052t_char(val_list_char,V_1)),S_1_1))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_1_1),E_2),S_2_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,seq_list_char(E_0,E_1_1),S_0),E_2),S_2_1)) ) ) ).
fof(fact_959_eval__evals_OSeqThrow,axiom,
! [E_1_1,Pa,E_0,S_0,Ea,S_1_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_0,S_0),throw_list_char(Ea)),S_1_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,seq_list_char(E_0,E_1_1),S_0),throw_list_char(Ea)),S_1_1)) ) ).
fof(fact_960_eval__evals_OLAssThrow,axiom,
! [V,Pa,Ea,S_0,E_a,S_1_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),throw_list_char(E_a)),S_1_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,lAss_list_char(V,Ea),S_0),throw_list_char(E_a)),S_1_1)) ) ).
fof(fact_961_eval__evals_OFAssThrow1,axiom,
! [F,D,E_2,Pa,E_1_1,S_0,E_a,S_1_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_0),throw_list_char(E_a)),S_1_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAss_list_char(E_1_1,F,D,E_2),S_0),throw_list_char(E_a)),S_1_1)) ) ).
fof(fact_962_CallObjThrow,axiom,
! [M,Ps,Pa,Ea,S_0,E_a,S_1_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),throw_list_char(E_a)),S_1_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,call_list_char(Ea,M,Ps),S_0),throw_list_char(E_a)),S_1_1)) ) ).
fof(fact_963_eval__evals_OBinOpThrow1,axiom,
! [Bop,E_2,Pa,E_1_1,S_0,Ea,S_1_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_0),throw_list_char(Ea)),S_1_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,binOp_list_char(E_1_1,Bop,E_2),S_0),throw_list_char(Ea)),S_1_1)) ) ).
fof(fact_964_eval__evals_OCastThrow,axiom,
! [C,Pa,Ea,S_0,E_a,S_1_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),throw_list_char(E_a)),S_1_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cast_list_char(C,Ea),S_0),throw_list_char(E_a)),S_1_1)) ) ).
fof(fact_965_eval__evals_OCondThrow,axiom,
! [E_1_1,E_2,Pa,Ea,S_0,E_a,S_1_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),throw_list_char(E_a)),S_1_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cond_list_char(Ea,E_1_1,E_2),S_0),throw_list_char(E_a)),S_1_1)) ) ).
fof(fact_966_Try,axiom,
! [C,V,E_2,Pa,E_1_1,S_0,V_1_1,S_1_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_0),hAPP_v834067052t_char(val_list_char,V_1_1)),S_1_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,tryCatch_list_char(E_1_1,C,V,E_2),S_0),hAPP_v834067052t_char(val_list_char,V_1_1)),S_1_1)) ) ).
fof(fact_967_eval__evals_OFAccThrow,axiom,
! [F,D,Pa,Ea,S_0,E_a,S_1_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),throw_list_char(E_a)),S_1_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAcc_list_char(Ea,F,D),S_0),throw_list_char(E_a)),S_1_1)) ) ).
fof(fact_968_WhileCondThrow,axiom,
! [C_1,Pa,Ea,S_0,E_a,S_1_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),throw_list_char(E_a)),S_1_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(Ea,C_1),S_0),throw_list_char(E_a)),S_1_1)) ) ).
fof(fact_969_eval__hext,axiom,
! [Pa,Ea,Ha,La,E_a,H_a,L_a] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,produc899768717on_val(Ha,La)),E_a),produc899768717on_val(H_a,L_a)))
=> hBOOL(hext(Ha,H_a)) ) ).
fof(fact_970_Throw,axiom,
! [Pa,Ea,S_0,A,S_1_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,addr(A))),S_1_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,throw_list_char(Ea),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),S_1_1)) ) ).
fof(fact_971_eval__evals_OFAssThrow2,axiom,
! [F,D,E_2,E_a,S_2_1,Pa,E_1_1,S_0,V_1,S_1_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_0),hAPP_v834067052t_char(val_list_char,V_1)),S_1_1))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_1),throw_list_char(E_a)),S_2_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAss_list_char(E_1_1,F,D,E_2),S_0),throw_list_char(E_a)),S_2_1)) ) ) ).
fof(fact_972_eval__evals_OBinOpThrow2,axiom,
! [Bop,E_2,Ea,S_2_1,Pa,E_1_1,S_0,V_1_1,S_1_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_0),hAPP_v834067052t_char(val_list_char,V_1_1)),S_1_1))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_1),throw_list_char(Ea)),S_2_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,binOp_list_char(E_1_1,Bop,E_2),S_0),throw_list_char(Ea)),S_2_1)) ) ) ).
fof(fact_973_CastNull,axiom,
! [C,Pa,Ea,S_0,S_1_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,null)),S_1_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cast_list_char(C,Ea),S_0),hAPP_v834067052t_char(val_list_char,null)),S_1_1)) ) ).
fof(fact_974_CondT,axiom,
! [E_2,E_1_1,E_a,S_2_1,Pa,Ea,S_0,S_1_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1_1))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_1_1),E_a),S_2_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cond_list_char(Ea,E_1_1,E_2),S_0),E_a),S_2_1)) ) ) ).
fof(fact_975_CondF,axiom,
! [E_1_1,E_2,E_a,S_2_1,Pa,Ea,S_0,S_1_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),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_a),S_2_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cond_list_char(Ea,E_1_1,E_2),S_0),E_a),S_2_1)) ) ) ).
fof(fact_976_WhileT,axiom,
! [E_3_1,S_3,C_1,V_1_1,S_2_1,Pa,Ea,S_0,S_1_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),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),hAPP_v834067052t_char(val_list_char,V_1_1)),S_2_1))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(Ea,C_1),S_2_1),E_3_1),S_3))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(Ea,C_1),S_0),E_3_1),S_3)) ) ) ) ).
fof(fact_977_WhileBodyThrow,axiom,
! [C_1,E_a,S_2_1,Pa,Ea,S_0,S_1_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),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_a)),S_2_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(Ea,C_1),S_0),throw_list_char(E_a)),S_2_1)) ) ) ).
fof(fact_978_WhileF,axiom,
! [C_1,Pa,Ea,S_0,S_1_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,bool(fFalse))),S_1_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(Ea,C_1),S_0),hAPP_v834067052t_char(val_list_char,unit)),S_1_1)) ) ).
fof(fact_979_eval__cases_I12_J,axiom,
! [Pa,Ea,S_1,E_a,S] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,throw_list_char(Ea),S_1),E_a),S))
=> ( ! [A_1] :
( E_a = throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1)))
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),hAPP_v834067052t_char(val_list_char,addr(A_1))),S)) )
=> ( ( E_a = throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),hAPP_v834067052t_char(val_list_char,null)),S)) )
=> ~ ! [E_3] :
( E_a = throw_list_char(E_3)
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),throw_list_char(E_3)),S)) ) ) ) ) ).
fof(fact_980_CallNull,axiom,
! [M,Ps,Vs_1,S_2_1,Pa,Ea,S_0,S_1_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,null)),S_1_1))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Ps,S_1_1),map_va1934808527t_char(val_list_char,Vs_1)),S_2_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,call_list_char(Ea,M,Ps),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_2_1)) ) ) ).
fof(fact_981_CallParamsThrow,axiom,
! [M,Esa,Vs_1,Ex,Es_a,S_2_1,Pa,Ea,S_0,V_1,S_1_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,V_1)),S_1_1))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,S_1_1),append_exp_list_char(map_va1934808527t_char(val_list_char,Vs_1),cons_exp_list_char(throw_list_char(Ex),Es_a))),S_2_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,call_list_char(Ea,M,Esa),S_0),throw_list_char(Ex)),S_2_1)) ) ) ).
fof(fact_982_list__eval__Throw,axiom,
! [Vs_1,Es_a,Pa,X_2,S_1,E_a,S] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,throw_list_char(X_2),S_1),E_a),S))
=> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,append_exp_list_char(map_va1934808527t_char(val_list_char,Vs_1),cons_exp_list_char(throw_list_char(X_2),Es_a)),S_1),append_exp_list_char(map_va1934808527t_char(val_list_char,Vs_1),cons_exp_list_char(E_a,Es_a))),S)) ) ).
fof(fact_983_eval__cases_I11_J,axiom,
! [Pa,B,C_1,S_1,E_a,S] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(B,C_1),S_1),E_a),S))
=> ( ( E_a = hAPP_v834067052t_char(val_list_char,unit)
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,B,S_1),hAPP_v834067052t_char(val_list_char,bool(fFalse))),S)) )
=> ( ! [S_1_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,B,S_1),hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1_2))
=> ! [V_1_3,S_2_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,C_1,S_1_2),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_a),S)) ) )
=> ( ! [E_3] :
( E_a = throw_list_char(E_3)
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,B,S_1),throw_list_char(E_3)),S)) )
=> ~ ! [S_1_2,E_3] :
( E_a = throw_list_char(E_3)
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,B,S_1),hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1_2))
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,C_1,S_1_2),throw_list_char(E_3)),S)) ) ) ) ) ) ) ).
fof(fact_984_eval__finalsId,axiom,
! [Pa,S_1,Esa] :
( hBOOL(finals_list_char(Esa))
=> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,S_1),Esa),S_1)) ) ).
fof(fact_985_evals__final,axiom,
! [Pa,Esa,S_1,Es_a,S] :
( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,S_1),Es_a),S))
=> hBOOL(finals_list_char(Es_a)) ) ).
fof(fact_986_evals__hext,axiom,
! [Pa,Esa,Ha,La,Es_a,H_a,L_a] :
( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,produc899768717on_val(Ha,La)),Es_a),produc899768717on_val(H_a,L_a)))
=> hBOOL(hext(Ha,H_a)) ) ).
fof(fact_987_eval__evals_OCons,axiom,
! [Esa,Es_a,S_2_1,Pa,Ea,S_0,V_1,S_1_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,V_1)),S_1_1))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,S_1_1),Es_a),S_2_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,cons_exp_list_char(Ea,Esa),S_0),cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V_1),Es_a)),S_2_1)) ) ) ).
fof(fact_988_ConsThrow,axiom,
! [Esa,Pa,Ea,S_0,E_a,S_1_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),throw_list_char(E_a)),S_1_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,cons_exp_list_char(Ea,Esa),S_0),cons_exp_list_char(throw_list_char(E_a),Esa)),S_1_1)) ) ).
fof(fact_989_evals__cases_I2_J,axiom,
! [Pa,Ea,Esa,S_1,E_a,S] :
( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,cons_exp_list_char(Ea,Esa),S_1),E_a),S))
=> ( ! [V_4,S_1_2,Es_1] :
( E_a = cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V_4),Es_1)
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),hAPP_v834067052t_char(val_list_char,V_4)),S_1_2))
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,S_1_2),Es_1),S)) ) )
=> ~ ! [E_3] :
( E_a = cons_exp_list_char(throw_list_char(E_3),Esa)
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),throw_list_char(E_3)),S)) ) ) ) ).
fof(fact_990_eval__cases_I9_J,axiom,
! [Pa,E_1_1,E_2,S_1,E_a,S] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,seq_list_char(E_1_1,E_2),S_1),E_a),S))
=> ( ! [V_4,S_1_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_1),hAPP_v834067052t_char(val_list_char,V_4)),S_1_2))
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_2),E_a),S)) )
=> ~ ! [E_4] :
( E_a = throw_list_char(E_4)
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_1),throw_list_char(E_4)),S)) ) ) ) ).
fof(fact_991_eval__cases_I10_J,axiom,
! [Pa,Ea,E_1_1,E_2,S_1,E_a,S] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cond_list_char(Ea,E_1_1,E_2),S_1),E_a),S))
=> ( ! [S_1_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1_2))
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_1_2),E_a),S)) )
=> ( ! [S_1_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),hAPP_v834067052t_char(val_list_char,bool(fFalse))),S_1_2))
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_2),E_a),S)) )
=> ~ ! [E_3] :
( E_a = throw_list_char(E_3)
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),throw_list_char(E_3)),S)) ) ) ) ) ).
fof(fact_992_InitBlockRedsFinal,axiom,
! [T_3,Ea,Ha,La,V,V_1,E_a,H_a,L_a,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,produc899768717on_val(Ha,fun_up1149430426on_val(La,V,hAPP_val_option_val(some_val,V_1)))),produc1259058957on_val(E_a,produc899768717on_val(H_a,L_a))),transi2024712006on_val(red(Pa))))
=> ( hBOOL(final_list_char(E_a))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(block_list_char(V,T_3,seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_1)),Ea)),produc899768717on_val(Ha,La)),produc1259058957on_val(E_a,produc899768717on_val(H_a,fun_up1149430426on_val(L_a,V,hAPP_l207779698on_val(La,V))))),transi2024712006on_val(red(Pa)))) ) ) ).
fof(fact_993_map__add__find__right,axiom,
! [M_1,N,K,Xx] :
( hAPP_l207779698on_val(N,K) = hAPP_val_option_val(some_val,Xx)
=> hAPP_l207779698on_val(map_ad325961431ar_val(M_1,N),K) = hAPP_val_option_val(some_val,Xx) ) ).
fof(fact_994_map__add__upd,axiom,
! [F_1,G,X_2,Y_1] : map_ad1185064968ar_val(F_1,fun_up204312361on_val(G,X_2,hAPP_val_option_val(some_val,Y_1))) = fun_up204312361on_val(map_ad1185064968ar_val(F_1,G),X_2,hAPP_val_option_val(some_val,Y_1)) ).
fof(fact_995_map__add__upd,axiom,
! [F_1,G,X_2,Y_1] : map_ad61982421on_val(F_1,fun_up2041264236on_val(G,X_2,hAPP_P1510515380on_val(some_P948696889on_val,Y_1))) = fun_up2041264236on_val(map_ad61982421on_val(F_1,G),X_2,hAPP_P1510515380on_val(some_P948696889on_val,Y_1)) ).
fof(fact_996_map__add__upd,axiom,
! [F_1,G,X_2,Y_1] : map_add_list_char_ty(F_1,fun_up424764369ion_ty(G,X_2,hAPP_ty_option_ty(some_ty,Y_1))) = fun_up424764369ion_ty(map_add_list_char_ty(F_1,G),X_2,hAPP_ty_option_ty(some_ty,Y_1)) ).
fof(fact_997_map__add__upd,axiom,
! [F_1,G,X_2,Y_1] : map_ad325961431ar_val(F_1,fun_up1149430426on_val(G,X_2,hAPP_val_option_val(some_val,Y_1))) = fun_up1149430426on_val(map_ad325961431ar_val(F_1,G),X_2,hAPP_val_option_val(some_val,Y_1)) ).
fof(fact_998_map__upd__eqD1,axiom,
! [M_1,A,X_2,N,Y_1] :
( fun_up204312361on_val(M_1,A,hAPP_val_option_val(some_val,X_2)) = fun_up204312361on_val(N,A,hAPP_val_option_val(some_val,Y_1))
=> X_2 = Y_1 ) ).
fof(fact_999_map__upd__eqD1,axiom,
! [M_1,A,X_2,N,Y_1] :
( fun_up2041264236on_val(M_1,A,hAPP_P1510515380on_val(some_P948696889on_val,X_2)) = fun_up2041264236on_val(N,A,hAPP_P1510515380on_val(some_P948696889on_val,Y_1))
=> X_2 = Y_1 ) ).
fof(fact_1000_map__upd__eqD1,axiom,
! [M_1,A,X_2,N,Y_1] :
( fun_up424764369ion_ty(M_1,A,hAPP_ty_option_ty(some_ty,X_2)) = fun_up424764369ion_ty(N,A,hAPP_ty_option_ty(some_ty,Y_1))
=> X_2 = Y_1 ) ).
fof(fact_1001_map__upd__eqD1,axiom,
! [M_1,A,X_2,N,Y_1] :
( fun_up1149430426on_val(M_1,A,hAPP_val_option_val(some_val,X_2)) = fun_up1149430426on_val(N,A,hAPP_val_option_val(some_val,Y_1))
=> X_2 = Y_1 ) ).
fof(fact_1002_map__upd__triv,axiom,
! [T_1,K,X_2] :
( hAPP_l512744617ion_ty(T_1,K) = hAPP_ty_option_ty(some_ty,X_2)
=> fun_up424764369ion_ty(T_1,K,hAPP_ty_option_ty(some_ty,X_2)) = T_1 ) ).
fof(fact_1003_map__upd__triv,axiom,
! [T_1,K,X_2] :
( hAPP_l207779698on_val(T_1,K) = hAPP_val_option_val(some_val,X_2)
=> fun_up1149430426on_val(T_1,K,hAPP_val_option_val(some_val,X_2)) = T_1 ) ).
fof(fact_1004_LAss,axiom,
! [L_a,V,Pa,Ea,S_0,V_1,Ha,La] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,V_1)),produc899768717on_val(Ha,La)))
=> ( L_a = fun_up1149430426on_val(La,V,hAPP_val_option_val(some_val,V_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,lAss_list_char(V,Ea),S_0),hAPP_v834067052t_char(val_list_char,unit)),produc899768717on_val(Ha,L_a))) ) ) ).
fof(fact_1005_redp__redsp_ORedLAss,axiom,
! [Pa,V,V_1,Ha,La] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_1)),produc899768717on_val(Ha,La)),hAPP_v834067052t_char(val_list_char,unit)),produc899768717on_val(Ha,fun_up1149430426on_val(La,V,hAPP_val_option_val(some_val,V_1))))) ).
fof(fact_1006_redp__redsp_OInitBlockRed,axiom,
! [T_3,V_5,Pa,Ea,Ha,La,V,V_1,E_a,H_a,L_a] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,produc899768717on_val(Ha,fun_up1149430426on_val(La,V,hAPP_val_option_val(some_val,V_1)))),E_a),produc899768717on_val(H_a,L_a)))
=> ( hAPP_l207779698on_val(L_a,V) = hAPP_val_option_val(some_val,V_5)
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(V,T_3,seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_1)),Ea)),produc899768717on_val(Ha,La)),block_list_char(V,T_3,seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_5)),E_a))),produc899768717on_val(H_a,fun_up1149430426on_val(L_a,V,hAPP_l207779698on_val(La,V))))) ) ) ).
fof(fact_1007_red__reds_ORedLAss,axiom,
! [V,V_1,Ha,La,Pa] : hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_1)),produc899768717on_val(Ha,La)),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,unit),produc899768717on_val(Ha,fun_up1149430426on_val(La,V,hAPP_val_option_val(some_val,V_1))))),red(Pa))) ).
fof(fact_1008_LAssRedsVal,axiom,
! [V,Ea,S_1,V_1,H_a,L_a,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_1),produc899768717on_val(H_a,L_a))),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(lAss_list_char(V,Ea),S_1),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,unit),produc899768717on_val(H_a,fun_up1149430426on_val(L_a,V,hAPP_val_option_val(some_val,V_1))))),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_1009_red__reds_OInitBlockRed,axiom,
! [T_3,V_5,Ea,Ha,La,V,V_1,E_a,H_a,L_a,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,produc899768717on_val(Ha,fun_up1149430426on_val(La,V,hAPP_val_option_val(some_val,V_1)))),produc1259058957on_val(E_a,produc899768717on_val(H_a,L_a))),red(Pa)))
=> ( hAPP_l207779698on_val(L_a,V) = hAPP_val_option_val(some_val,V_5)
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(block_list_char(V,T_3,seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_1)),Ea)),produc899768717on_val(Ha,La)),produc1259058957on_val(block_list_char(V,T_3,seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_5)),E_a)),produc899768717on_val(H_a,fun_up1149430426on_val(L_a,V,hAPP_l207779698on_val(La,V))))),red(Pa))) ) ) ).
fof(fact_1010_InitBlockReds,axiom,
! [T_3,Ea,Ha,La,V,V_1,E_a,H_a,L_a,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,produc899768717on_val(Ha,fun_up1149430426on_val(La,V,hAPP_val_option_val(some_val,V_1)))),produc1259058957on_val(E_a,produc899768717on_val(H_a,L_a))),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(block_list_char(V,T_3,seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_1)),Ea)),produc899768717on_val(Ha,La)),produc1259058957on_val(block_list_char(V,T_3,seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,hAPP_option_val_val(the_val,hAPP_l207779698on_val(L_a,V)))),E_a)),produc899768717on_val(H_a,fun_up1149430426on_val(L_a,V,hAPP_l207779698on_val(La,V))))),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_1011_eval__cases_I4_J,axiom,
! [Pa,V,Ea,S_1,E_a,S] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,lAss_list_char(V,Ea),S_1),E_a),S))
=> ( ( E_a = hAPP_v834067052t_char(val_list_char,unit)
=> ! [V_4,H,L_5] :
( S = produc899768717on_val(H,fun_up1149430426on_val(L_5,V,hAPP_val_option_val(some_val,V_4)))
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),hAPP_v834067052t_char(val_list_char,V_4)),produc899768717on_val(H,L_5))) ) )
=> ~ ! [E_3] :
( E_a = throw_list_char(E_3)
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),throw_list_char(E_3)),S)) ) ) ) ).
fof(fact_1012_BinOpRedsVal,axiom,
! [Bop,V_1,E_2,V_2_1,S_2_1,E_1_1,S_0,V_1_1,S_1_1,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(E_1_1,S_0),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_1_1),S_1_1)),transi2024712006on_val(red(Pa))))
=> ( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(E_2,S_1_1),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_2_1),S_2_1)),transi2024712006on_val(red(Pa))))
=> ( binop(produc621191550al_val(Bop,product_Pair_val_val(V_1_1,V_2_1))) = hAPP_val_option_val(some_val,V_1)
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(binOp_list_char(E_1_1,Bop,E_2),S_0),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_1),S_2_1)),transi2024712006on_val(red(Pa)))) ) ) ) ).
fof(fact_1013_red__reds_ORedBinOp,axiom,
! [S_1,Pa,Bop,V_1_1,V_2_1,V_1] :
( binop(produc621191550al_val(Bop,product_Pair_val_val(V_1_1,V_2_1))) = hAPP_val_option_val(some_val,V_1)
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_1),Bop,hAPP_v834067052t_char(val_list_char,V_2_1)),S_1),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_1),S_1)),red(Pa))) ) ).
fof(fact_1014_WTrtBlock,axiom,
! [Pa,Ha,E_1,V,T_3,Ea,T_7] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,fun_up424764369ion_ty(E_1,V,hAPP_ty_option_ty(some_ty,T_3)),Ea),T_7))
=> hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,block_list_char(V,T_3,Ea)),T_7)) ) ).
fof(fact_1015_hext__upd__obj,axiom,
! [Fs_2,Ha,A,C,Fs] :
( hAPP_n546249108on_val(Ha,A) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(C,Fs))
=> hBOOL(hext(Ha,fun_up2041264236on_val(Ha,A,hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(C,Fs_2))))) ) ).
fof(fact_1016_FAss,axiom,
! [H_2_1,Fs_2,F,D,C,Fs,E_2,V_1,H_2,L_2,Pa,E_1_1,S_0,A,S_1_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_0),hAPP_v834067052t_char(val_list_char,addr(A))),S_1_1))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_1),hAPP_v834067052t_char(val_list_char,V_1)),produc899768717on_val(H_2,L_2)))
=> ( hAPP_n546249108on_val(H_2,A) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(C,Fs))
=> ( Fs_2 = fun_up204312361on_val(Fs,produc5062597t_char(F,D),hAPP_val_option_val(some_val,V_1))
=> ( H_2_1 = fun_up2041264236on_val(H_2,A,hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(C,Fs_2)))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAss_list_char(E_1_1,F,D,E_2),S_0),hAPP_v834067052t_char(val_list_char,unit)),produc899768717on_val(H_2_1,L_2))) ) ) ) ) ) ).
fof(fact_1017_redp__redsp_ORedFAss,axiom,
! [Pa,F,D,V_1,La,Ha,A,C,Fs] :
( hAPP_n546249108on_val(Ha,A) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(C,Fs))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(hAPP_v834067052t_char(val_list_char,addr(A)),F,D,hAPP_v834067052t_char(val_list_char,V_1)),produc899768717on_val(Ha,La)),hAPP_v834067052t_char(val_list_char,unit)),produc899768717on_val(fun_up2041264236on_val(Ha,A,hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(C,fun_up204312361on_val(Fs,produc5062597t_char(F,D),hAPP_val_option_val(some_val,V_1))))),La))) ) ).
fof(fact_1018_red__reds_ORedFAss,axiom,
! [F,D,V_1,La,Pa,Ha,A,C,Fs] :
( hAPP_n546249108on_val(Ha,A) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(C,Fs))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(fAss_list_char(hAPP_v834067052t_char(val_list_char,addr(A)),F,D,hAPP_v834067052t_char(val_list_char,V_1)),produc899768717on_val(Ha,La)),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,unit),produc899768717on_val(fun_up2041264236on_val(Ha,A,hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(C,fun_up204312361on_val(Fs,produc5062597t_char(F,D),hAPP_val_option_val(some_val,V_1))))),La))),red(Pa))) ) ).
fof(fact_1019_FAssRedsVal,axiom,
! [F,D,C,Fs,E_2,V_1,H_2,L_2,E_1_1,S_0,A,S_1_1,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(E_1_1,S_0),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,addr(A)),S_1_1)),transi2024712006on_val(red(Pa))))
=> ( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(E_2,S_1_1),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_1),produc899768717on_val(H_2,L_2))),transi2024712006on_val(red(Pa))))
=> ( hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(C,Fs)) = hAPP_n546249108on_val(H_2,A)
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(fAss_list_char(E_1_1,F,D,E_2),S_0),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,unit),produc899768717on_val(fun_up2041264236on_val(H_2,A,hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(C,fun_up204312361on_val(Fs,produc5062597t_char(F,D),hAPP_val_option_val(some_val,V_1))))),L_2))),transi2024712006on_val(red(Pa)))) ) ) ) ).
fof(fact_1020_FAcc,axiom,
! [F,D,V_1,C,Fs,Pa,Ea,S_0,A,Ha,La] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,addr(A))),produc899768717on_val(Ha,La)))
=> ( hAPP_n546249108on_val(Ha,A) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(C,Fs))
=> ( hAPP_P2094403585on_val(Fs,produc5062597t_char(F,D)) = hAPP_val_option_val(some_val,V_1)
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAcc_list_char(Ea,F,D),S_0),hAPP_v834067052t_char(val_list_char,V_1)),produc899768717on_val(Ha,La))) ) ) ) ).
fof(fact_1021_BinOp,axiom,
! [Bop,V_1,E_2,V_2_1,S_2_1,Pa,E_1_1,S_0,V_1_1,S_1_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_0),hAPP_v834067052t_char(val_list_char,V_1_1)),S_1_1))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_1),hAPP_v834067052t_char(val_list_char,V_2_1)),S_2_1))
=> ( binop(produc621191550al_val(Bop,product_Pair_val_val(V_1_1,V_2_1))) = hAPP_val_option_val(some_val,V_1)
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,binOp_list_char(E_1_1,Bop,E_2),S_0),hAPP_v834067052t_char(val_list_char,V_1)),S_2_1)) ) ) ) ).
fof(fact_1022_redp__redsp_ORedBinOp,axiom,
! [Pa,S_1,Bop,V_1_1,V_2_1,V_1] :
( binop(produc621191550al_val(Bop,product_Pair_val_val(V_1_1,V_2_1))) = 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_1),Bop,hAPP_v834067052t_char(val_list_char,V_2_1)),S_1),hAPP_v834067052t_char(val_list_char,V_1)),S_1)) ) ).
fof(fact_1023_TryCatchRedsFinal,axiom,
! [E_2,V,E_2_1,H_2,L_2,C,D,Fs,E_1_1,S_0,A,H_1,L_1,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(E_1_1,S_0),produc1259058957on_val(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A))),produc899768717on_val(H_1,L_1))),transi2024712006on_val(red(Pa))))
=> ( hAPP_n546249108on_val(H_1,A) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(D,Fs))
=> ( hBOOL(member1251428284t_char(produc5062597t_char(D,C),transi1395422419t_char(subcls851966956t_char(Pa))))
=> ( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(E_2,produc899768717on_val(H_1,fun_up1149430426on_val(L_1,V,hAPP_val_option_val(some_val,addr(A))))),produc1259058957on_val(E_2_1,produc899768717on_val(H_2,L_2))),transi2024712006on_val(red(Pa))))
=> ( hBOOL(final_list_char(E_2_1))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(tryCatch_list_char(E_1_1,C,V,E_2),S_0),produc1259058957on_val(E_2_1,produc899768717on_val(H_2,fun_up1149430426on_val(L_2,V,hAPP_l207779698on_val(L_1,V))))),transi2024712006on_val(red(Pa)))) ) ) ) ) ) ).
fof(fact_1024_FAccRedsVal,axiom,
! [F,D,V_1,C,Fs,Ea,S_1,A,S,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,addr(A)),S)),transi2024712006on_val(red(Pa))))
=> ( hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S),A) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(C,Fs))
=> ( hAPP_P2094403585on_val(Fs,produc5062597t_char(F,D)) = hAPP_val_option_val(some_val,V_1)
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(fAcc_list_char(Ea,F,D),S_1),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_1),S)),transi2024712006on_val(red(Pa)))) ) ) ) ).
fof(fact_1025_eval__cases_I3_J,axiom,
! [Pa,E_1_1,Bop,E_2,S_1,E_a,S] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,binOp_list_char(E_1_1,Bop,E_2),S_1),E_a),S))
=> ( ! [V_1_3,S_1_2,V_2_2,V_4] :
( E_a = hAPP_v834067052t_char(val_list_char,V_4)
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_1),hAPP_v834067052t_char(val_list_char,V_1_3)),S_1_2))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_2),hAPP_v834067052t_char(val_list_char,V_2_2)),S))
=> binop(produc621191550al_val(Bop,product_Pair_val_val(V_1_3,V_2_2))) != hAPP_val_option_val(some_val,V_4) ) ) )
=> ( ! [E_4] :
( E_a = throw_list_char(E_4)
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_1),throw_list_char(E_4)),S)) )
=> ~ ! [V_1_3,S_1_2,E_4] :
( E_a = throw_list_char(E_4)
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_1),hAPP_v834067052t_char(val_list_char,V_1_3)),S_1_2))
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,S_1_2),throw_list_char(E_4)),S)) ) ) ) ) ) ).
fof(fact_1026_red__reds_ORedFAcc,axiom,
! [Pa,F,D,V_1,S_1,A,C,Fs] :
( hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S_1),A) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(C,Fs))
=> ( hAPP_P2094403585on_val(Fs,produc5062597t_char(F,D)) = hAPP_val_option_val(some_val,V_1)
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(fAcc_list_char(hAPP_v834067052t_char(val_list_char,addr(A)),F,D),S_1),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_1),S_1)),red(Pa))) ) ) ).
fof(fact_1027_red__reds_ORedCast,axiom,
! [C,Pa,S_1,A,D,Fs] :
( hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S_1),A) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(D,Fs))
=> ( hBOOL(member1251428284t_char(produc5062597t_char(D,C),transi1395422419t_char(subcls851966956t_char(Pa))))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(cast_list_char(C,hAPP_v834067052t_char(val_list_char,addr(A))),S_1),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,addr(A)),S_1)),red(Pa))) ) ) ).
fof(fact_1028_red__reds_ORedTryFail,axiom,
! [V,E_2,C,Pa,S_1,A,D,Fs] :
( hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S_1),A) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(D,Fs))
=> ( ~ hBOOL(member1251428284t_char(produc5062597t_char(D,C),transi1395422419t_char(subcls851966956t_char(Pa))))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(tryCatch_list_char(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A))),C,V,E_2),S_1),produc1259058957on_val(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A))),S_1)),red(Pa))) ) ) ).
fof(fact_1029_CastRedsAddr,axiom,
! [C,D,Fs,Ea,S_1,A,S,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,addr(A)),S)),transi2024712006on_val(red(Pa))))
=> ( hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S),A) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(D,Fs))
=> ( hBOOL(member1251428284t_char(produc5062597t_char(D,C),transi1395422419t_char(subcls851966956t_char(Pa))))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(cast_list_char(C,Ea),S_1),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,addr(A)),S)),transi2024712006on_val(red(Pa)))) ) ) ) ).
fof(fact_1030_Cast,axiom,
! [C,D,Fs,Pa,Ea,S_0,A,Ha,La] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,addr(A))),produc899768717on_val(Ha,La)))
=> ( hAPP_n546249108on_val(Ha,A) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(D,Fs))
=> ( hBOOL(member1251428284t_char(produc5062597t_char(D,C),transi1395422419t_char(subcls851966956t_char(Pa))))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cast_list_char(C,Ea),S_0),hAPP_v834067052t_char(val_list_char,addr(A))),produc899768717on_val(Ha,La))) ) ) ) ).
fof(fact_1031_TryThrow,axiom,
! [V,E_2,C,D,Fs,Pa,E_1_1,S_0,A,H_1,L_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),produc899768717on_val(H_1,L_1)))
=> ( hAPP_n546249108on_val(H_1,A) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(D,Fs))
=> ( ~ hBOOL(member1251428284t_char(produc5062597t_char(D,C),transi1395422419t_char(subcls851966956t_char(Pa))))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,tryCatch_list_char(E_1_1,C,V,E_2),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),produc899768717on_val(H_1,L_1))) ) ) ) ).
fof(fact_1032_redp__redsp_ORedFAcc,axiom,
! [Pa,F,D,V_1,S_1,A,C,Fs] :
( hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S_1),A) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(C,Fs))
=> ( hAPP_P2094403585on_val(Fs,produc5062597t_char(F,D)) = 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)),F,D),S_1),hAPP_v834067052t_char(val_list_char,V_1)),S_1)) ) ) ).
fof(fact_1033_TryCatch,axiom,
! [E_2,V,E_2_1,H_2,L_2,C,D,Fs,Pa,E_1_1,S_0,A,H_1,L_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),produc899768717on_val(H_1,L_1)))
=> ( hAPP_n546249108on_val(H_1,A) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(D,Fs))
=> ( hBOOL(member1251428284t_char(produc5062597t_char(D,C),transi1395422419t_char(subcls851966956t_char(Pa))))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2,produc899768717on_val(H_1,fun_up1149430426on_val(L_1,V,hAPP_val_option_val(some_val,addr(A))))),E_2_1),produc899768717on_val(H_2,L_2)))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,tryCatch_list_char(E_1_1,C,V,E_2),S_0),E_2_1),produc899768717on_val(H_2,fun_up1149430426on_val(L_2,V,hAPP_l207779698on_val(L_1,V))))) ) ) ) ) ).
fof(fact_1034_TryRedsFail,axiom,
! [V,E_2,C,D,Fs,E_1_1,S_1,A,Ha,La,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(E_1_1,S_1),produc1259058957on_val(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A))),produc899768717on_val(Ha,La))),transi2024712006on_val(red(Pa))))
=> ( hAPP_n546249108on_val(Ha,A) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(D,Fs))
=> ( ~ hBOOL(member1251428284t_char(produc5062597t_char(D,C),transi1395422419t_char(subcls851966956t_char(Pa))))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(tryCatch_list_char(E_1_1,C,V,E_2),S_1),produc1259058957on_val(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A))),produc899768717on_val(Ha,La))),transi2024712006on_val(red(Pa)))) ) ) ) ).
fof(fact_1035_CastRedsFail,axiom,
! [C,D,Fs,Ea,S_1,A,S,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,addr(A)),S)),transi2024712006on_val(red(Pa))))
=> ( hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S),A) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(D,Fs))
=> ( ~ hBOOL(member1251428284t_char(produc5062597t_char(D,C),transi1395422419t_char(subcls851966956t_char(Pa))))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(cast_list_char(C,Ea),S_1),produc1259058957on_val(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(classCast)))),S)),transi2024712006on_val(red(Pa)))) ) ) ) ).
fof(fact_1036_red__reds_ORedCastFail,axiom,
! [C,Pa,S_1,A,D,Fs] :
( hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S_1),A) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(D,Fs))
=> ( ~ hBOOL(member1251428284t_char(produc5062597t_char(D,C),transi1395422419t_char(subcls851966956t_char(Pa))))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(cast_list_char(C,hAPP_v834067052t_char(val_list_char,addr(A))),S_1),produc1259058957on_val(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(classCast)))),S_1)),red(Pa))) ) ) ).
fof(fact_1037_CastFail,axiom,
! [C,D,Fs,Pa,Ea,S_0,A,Ha,La] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,addr(A))),produc899768717on_val(Ha,La)))
=> ( hAPP_n546249108on_val(Ha,A) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(D,Fs))
=> ( ~ hBOOL(member1251428284t_char(produc5062597t_char(D,C),transi1395422419t_char(subcls851966956t_char(Pa))))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cast_list_char(C,Ea),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(classCast))))),produc899768717on_val(Ha,La))) ) ) ) ).
fof(fact_1038_red__reds_ORedTryCatch,axiom,
! [V,E_2,C,Pa,S_1,A,D,Fs] :
( hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S_1),A) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(D,Fs))
=> ( hBOOL(member1251428284t_char(produc5062597t_char(D,C),transi1395422419t_char(subcls851966956t_char(Pa))))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(tryCatch_list_char(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A))),C,V,E_2),S_1),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_1)),red(Pa))) ) ) ).
fof(fact_1039_hext__def,axiom,
! [Ha,H_a] :
( hBOOL(hext(Ha,H_a))
<=> ! [A_1,C_2,Fs_1] :
( hAPP_n546249108on_val(Ha,A_1) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(C_2,Fs_1))
=> ? [Fs_3] : hAPP_n546249108on_val(H_a,A_1) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(C_2,Fs_3)) ) ) ).
fof(fact_1040_hext__objD,axiom,
! [A,C,Fs,Ha,H_a] :
( hBOOL(hext(Ha,H_a))
=> ( hAPP_n546249108on_val(Ha,A) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(C,Fs))
=> ? [Fs_3] : hAPP_n546249108on_val(H_a,A) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(C,Fs_3)) ) ) ).
fof(fact_1041_finalRefE,axiom,
! [Pa,Ha,E_1,Ea,T_3] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,Ea),T_3))
=> ( hBOOL(hAPP_ty_bool(is_refT,T_3))
=> ( hBOOL(final_list_char(Ea))
=> ( Ea != hAPP_v834067052t_char(val_list_char,null)
=> ( ( ? [A_1] : Ea = hAPP_v834067052t_char(val_list_char,addr(A_1))
=> ! [C_2] : T_3 != hAPP_list_char_ty(class,C_2) )
=> ~ ! [A_1] : Ea != throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1))) ) ) ) ) ) ).
fof(fact_1042_binop_Osimps_I1_J,axiom,
! [V_1_1,V_2_1] : binop(produc621191550al_val(c_Expr_Obop_OEq,product_Pair_val_val(V_1_1,V_2_1))) = hAPP_val_option_val(some_val,bool(hAPP_val_bool(hAPP_v1392248405l_bool(fequal_val,V_1_1),V_2_1))) ).
fof(fact_1043_final__addrE,axiom,
! [Pa,Ha,E_1,Ea,C] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,Ea),hAPP_list_char_ty(class,C)))
=> ( hBOOL(final_list_char(Ea))
=> ( ! [A_1] : Ea != hAPP_v834067052t_char(val_list_char,addr(A_1))
=> ~ ! [A_1] : Ea != throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1))) ) ) ) ).
fof(fact_1044_redp__redsp_ORedTryCatch,axiom,
! [V,E_2,Pa,C,S_1,A,D,Fs] :
( hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S_1),A) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(D,Fs))
=> ( hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(transi1065307915t_char(subcls744239332t_char(Pa)),D),C))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,tryCatch_list_char(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A))),C,V,E_2),S_1),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_1)) ) ) ).
fof(fact_1045_BlockRedsFinal,axiom,
! [T_3,H_0,L_0,V,E_0,S_0,E_2,H_2,L_2,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(E_0,S_0),produc1259058957on_val(E_2,produc899768717on_val(H_2,L_2))),transi2024712006on_val(red(Pa))))
=> ( hBOOL(final_list_char(E_2))
=> ( S_0 = produc899768717on_val(H_0,fun_up1149430426on_val(L_0,V,none_val))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(block_list_char(V,T_3,E_0),produc899768717on_val(H_0,L_0)),produc1259058957on_val(E_2,produc899768717on_val(H_2,fun_up1149430426on_val(L_2,V,hAPP_l207779698on_val(L_0,V))))),transi2024712006on_val(red(Pa)))) ) ) ) ).
fof(fact_1046_WTrtCast,axiom,
! [C,Pa,Ha,E_1,Ea,T_3] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,Ea),T_3))
=> ( hBOOL(hAPP_ty_bool(is_refT,T_3))
=> ( hBOOL(hAPP_list_char_bool(is_cla570604648t_char(Pa),C))
=> hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,cast_list_char(C,Ea)),hAPP_list_char_ty(class,C))) ) ) ) ).
fof(fact_1047_Block,axiom,
! [T_3,Pa,E_0,H_0,L_0,V,E_1_1,H_1,L_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_0,produc899768717on_val(H_0,fun_up1149430426on_val(L_0,V,none_val))),E_1_1),produc899768717on_val(H_1,L_1)))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,block_list_char(V,T_3,E_0),produc899768717on_val(H_0,L_0)),E_1_1),produc899768717on_val(H_1,fun_up1149430426on_val(L_1,V,hAPP_l207779698on_val(L_0,V))))) ) ).
fof(fact_1048_redp__redsp_ORedCast,axiom,
! [Pa,C,S_1,A,D,Fs] :
( hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S_1),A) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(D,Fs))
=> ( hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(transi1065307915t_char(subcls744239332t_char(Pa)),D),C))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cast_list_char(C,hAPP_v834067052t_char(val_list_char,addr(A))),S_1),hAPP_v834067052t_char(val_list_char,addr(A))),S_1)) ) ) ).
fof(fact_1049_redp__redsp_ORedTryFail,axiom,
! [V,E_2,Pa,C,S_1,A,D,Fs] :
( hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S_1),A) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(D,Fs))
=> ( ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(transi1065307915t_char(subcls744239332t_char(Pa)),D),C))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,tryCatch_list_char(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A))),C,V,E_2),S_1),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),S_1)) ) ) ).
fof(fact_1050_redp__redsp_ORedCastFail,axiom,
! [Pa,C,S_1,A,D,Fs] :
( hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S_1),A) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(D,Fs))
=> ( ~ hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(transi1065307915t_char(subcls744239332t_char(Pa)),D),C))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cast_list_char(C,hAPP_v834067052t_char(val_list_char,addr(A))),S_1),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(classCast))))),S_1)) ) ) ).
fof(fact_1051_WTrt__elim__cases_I6_J,axiom,
! [Pa,Ha,E_1,D,Ea,T_3] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,cast_list_char(D,Ea)),T_3))
=> ~ ( T_3 = hAPP_list_char_ty(class,D)
=> ! [T_5] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,Ea),T_5))
=> ( hBOOL(hAPP_ty_bool(is_refT,T_5))
=> ~ hBOOL(hAPP_list_char_bool(is_cla570604648t_char(Pa),D)) ) ) ) ) ).
fof(fact_1052_red__reds_OBlockRedSome,axiom,
! [T_3,V_1,Ea,Ha,La,V,E_a,H_a,L_a,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,produc899768717on_val(Ha,fun_up1149430426on_val(La,V,none_val))),produc1259058957on_val(E_a,produc899768717on_val(H_a,L_a))),red(Pa)))
=> ( hAPP_l207779698on_val(L_a,V) = hAPP_val_option_val(some_val,V_1)
=> ( ~ hBOOL(assigned(V,Ea))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(block_list_char(V,T_3,Ea),produc899768717on_val(Ha,La)),produc1259058957on_val(block_list_char(V,T_3,seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_1)),E_a)),produc899768717on_val(H_a,fun_up1149430426on_val(L_a,V,hAPP_l207779698on_val(La,V))))),red(Pa))) ) ) ) ).
fof(fact_1053_redp__redsp_OBlockRedSome,axiom,
! [T_3,V_1,Pa,Ea,Ha,La,V,E_a,H_a,L_a] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,produc899768717on_val(Ha,fun_up1149430426on_val(La,V,none_val))),E_a),produc899768717on_val(H_a,L_a)))
=> ( hAPP_l207779698on_val(L_a,V) = hAPP_val_option_val(some_val,V_1)
=> ( ~ hBOOL(assigned(V,Ea))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(V,T_3,Ea),produc899768717on_val(Ha,La)),block_list_char(V,T_3,seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_1)),E_a))),produc899768717on_val(H_a,fun_up1149430426on_val(L_a,V,hAPP_l207779698on_val(La,V))))) ) ) ) ).
fof(fact_1054_eval__cases_I8_J,axiom,
! [Pa,V,T_3,E_1_1,S_1,E_a,S] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,block_list_char(V,T_3,E_1_1),S_1),E_a),S))
=> ~ ! [H_0_1,L_0_1] :
( S_1 = produc899768717on_val(H_0_1,L_0_1)
=> ! [H_1_1,L_1_1] :
( S = produc899768717on_val(H_1_1,fun_up1149430426on_val(L_1_1,V,hAPP_l207779698on_val(L_0_1,V)))
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,produc899768717on_val(H_0_1,fun_up1149430426on_val(L_0_1,V,none_val))),E_a),produc899768717on_val(H_1_1,L_1_1))) ) ) ) ).
fof(fact_1055_hext__new,axiom,
! [X_2,Ha,A] :
( hAPP_n546249108on_val(Ha,A) = none_P179726773on_val
=> hBOOL(hext(Ha,fun_up2041264236on_val(Ha,A,hAPP_P1510515380on_val(some_P948696889on_val,X_2)))) ) ).
fof(fact_1056_redp__redsp_OBlockRedNone,axiom,
! [T_3,Pa,Ea,Ha,La,V,E_a,H_a,L_a] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,produc899768717on_val(Ha,fun_up1149430426on_val(La,V,none_val))),E_a),produc899768717on_val(H_a,L_a)))
=> ( hAPP_l207779698on_val(L_a,V) = none_val
=> ( ~ hBOOL(assigned(V,Ea))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(V,T_3,Ea),produc899768717on_val(Ha,La)),block_list_char(V,T_3,E_a)),produc899768717on_val(H_a,fun_up1149430426on_val(L_a,V,hAPP_l207779698on_val(La,V))))) ) ) ) ).
fof(fact_1057_red__reds_OBlockRedNone,axiom,
! [T_3,Ea,Ha,La,V,E_a,H_a,L_a,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,produc899768717on_val(Ha,fun_up1149430426on_val(La,V,none_val))),produc1259058957on_val(E_a,produc899768717on_val(H_a,L_a))),red(Pa)))
=> ( hAPP_l207779698on_val(L_a,V) = none_val
=> ( ~ hBOOL(assigned(V,Ea))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(block_list_char(V,T_3,Ea),produc899768717on_val(Ha,La)),produc1259058957on_val(block_list_char(V,T_3,E_a),produc899768717on_val(H_a,fun_up1149430426on_val(L_a,V,hAPP_l207779698on_val(La,V))))),red(Pa))) ) ) ) ).
fof(fact_1058_assigned__def,axiom,
! [V,Ea] :
( hBOOL(assigned(V,Ea))
<=> ? [V_4,E_3] : Ea = seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_4)),E_3) ) ).
fof(fact_1059_binop_Osimps_I3_J,axiom,
! [V_2] : binop(produc621191550al_val(add,product_Pair_val_val(unit,V_2))) = none_val ).
fof(fact_1060_binop_Osimps_I7_J,axiom,
! [V_1_2] : binop(produc621191550al_val(add,product_Pair_val_val(V_1_2,unit))) = none_val ).
fof(fact_1061_binop_Osimps_I5_J,axiom,
! [V_1,V_2_1] : binop(produc621191550al_val(add,product_Pair_val_val(bool(V_1),V_2_1))) = none_val ).
fof(fact_1062_bop_Osimps_I1_J,axiom,
c_Expr_Obop_OEq != add ).
fof(fact_1063_bop_Osimps_I2_J,axiom,
add != c_Expr_Obop_OEq ).
fof(fact_1064_bop_Oexhaust,axiom,
! [Y] :
( is_bop(Y)
=> ( Y != c_Expr_Obop_OEq
=> Y = add ) ) ).
fof(fact_1065_binop_Osimps_I10_J,axiom,
! [V_1_2,V_3] : binop(produc621191550al_val(add,product_Pair_val_val(V_1_2,addr(V_3)))) = none_val ).
fof(fact_1066_binop_Osimps_I6_J,axiom,
! [V_3,V_2] : binop(produc621191550al_val(add,product_Pair_val_val(addr(V_3),V_2))) = none_val ).
fof(fact_1067_binop_Osimps_I4_J,axiom,
! [V_2] : binop(produc621191550al_val(add,product_Pair_val_val(null,V_2))) = none_val ).
fof(fact_1068_binop_Osimps_I8_J,axiom,
! [V_1_2] : binop(produc621191550al_val(add,product_Pair_val_val(V_1_2,null))) = none_val ).
fof(fact_1069_binop_Osimps_I9_J,axiom,
! [V_1_1,V_1] : binop(produc621191550al_val(add,product_Pair_val_val(V_1_1,bool(V_1)))) = none_val ).
fof(fact_1070_WTrtTry,axiom,
! [V,C,E_2,T_2_2,Pa,Ha,E_1,E_1_1,T_1_2] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,E_1_1),T_1_2))
=> ( hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,fun_up424764369ion_ty(E_1,V,hAPP_ty_option_ty(some_ty,hAPP_list_char_ty(class,C))),E_2),T_2_2))
=> ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_1_2),T_2_2))
=> hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,tryCatch_list_char(E_1_1,C,V,E_2)),T_2_2)) ) ) ) ).
fof(fact_1071_hextI,axiom,
! [H_a,Ha] :
( ! [A_1,C_2,Fs_1] :
( hAPP_n546249108on_val(Ha,A_1) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(C_2,Fs_1))
=> ? [Fs_3] : hAPP_n546249108on_val(H_a,A_1) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(C_2,Fs_3)) )
=> hBOOL(hext(Ha,H_a)) ) ).
fof(fact_1072_WTrts__Val,axiom,
! [Pa,Ha,E_1,Vs_1,Ts] :
( hBOOL(wTrts(Pa,Ha,E_1,map_va1934808527t_char(val_list_char,Vs_1),Ts))
<=> map_val_option_ty(typeof_h(Ha),Vs_1) = map_ty_option_ty(some_ty,Ts) ) ).
fof(fact_1073_WTrtVal,axiom,
! [Pa,E_1,Ha,V_1,T_3] :
( hAPP_val_option_ty(typeof_h(Ha),V_1) = hAPP_ty_option_ty(some_ty,T_3)
=> hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,hAPP_v834067052t_char(val_list_char,V_1)),T_3)) ) ).
fof(fact_1074_hext__typeof__mono,axiom,
! [V_1,T_3,Ha,H_a] :
( hBOOL(hext(Ha,H_a))
=> ( hAPP_val_option_ty(typeof_h(Ha),V_1) = hAPP_ty_option_ty(some_ty,T_3)
=> hAPP_val_option_ty(typeof_h(H_a),V_1) = hAPP_ty_option_ty(some_ty,T_3) ) ) ).
fof(fact_1075_WTrt__elim__cases_I5_J,axiom,
! [Pa,Ha,E_1,E_1_1,C,V,E_2,T_3] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,tryCatch_list_char(E_1_1,C,V,E_2)),T_3))
=> ~ ! [T_1_1] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,E_1_1),T_1_1))
=> ( hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,fun_up424764369ion_ty(E_1,V,hAPP_ty_option_ty(some_ty,hAPP_list_char_ty(class,C))),E_2),T_3))
=> ~ hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_1_1),T_3)) ) ) ) ).
fof(fact_1076_WTrt_H__WTrts_H_Ointros_I16_J,axiom,
! [E_1,V,E_2,T_2_2,Pa,T_3,Ha,V_1,T_1_2] :
( hAPP_val_option_ty(typeof_h(Ha),V_1) = hAPP_ty_option_ty(some_ty,T_1_2)
=> ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_1_2),T_3))
=> ( hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,fun_up424764369ion_ty(E_1,V,hAPP_ty_option_ty(some_ty,T_3)),E_2),T_2_2))
=> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,block_list_char(V,T_3,seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_1)),E_2))),T_2_2)) ) ) ) ).
fof(fact_1077_WTrt_H__WTrts_H_Ointros_I3_J,axiom,
! [Pa,E_1,Ha,V_1,T_3] :
( hAPP_val_option_ty(typeof_h(Ha),V_1) = hAPP_ty_option_ty(some_ty,T_3)
=> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,hAPP_v834067052t_char(val_list_char,V_1)),T_3)) ) ).
fof(fact_1078_WTrt_H__WTrts_H_Ointros_I8_J,axiom,
! [F,T_3,D,Pa,Ha,E_1,Ea,C] :
( hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,Ea),hAPP_list_char_ty(class,C)))
=> ( hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(Pa,C,F,T_3),D))
=> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,fAcc_list_char(Ea,F,D)),T_3)) ) ) ).
fof(fact_1079_WTrt_H__WTrts_H_Ointros_I18_J,axiom,
! [E_2,T_2_2,Pa,Ha,E_1,E_1_1,T_1_2] :
( hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,E_1_1),T_1_2))
=> ( hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,E_2),T_2_2))
=> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,seq_list_char(E_1_1,E_2)),T_2_2)) ) ) ).
fof(fact_1080_WTrt_H__WTrts_H_Ointros_I9_J,axiom,
! [F,D,T_3,Pa,Ha,E_1,Ea] :
( hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,Ea),nt))
=> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,fAcc_list_char(Ea,F,D)),T_3)) ) ).
fof(fact_1081_wt_H__iff__wt,axiom,
! [Pa,Ha,E_1,Ea,T_3] :
( hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,Ea),T_3))
<=> hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,Ea),T_3)) ) ).
fof(fact_1082_wt_H__wt,axiom,
! [Pa,Ha,E_1,Ea,T_3] :
( hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,Ea),T_3))
=> hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,Ea),T_3)) ) ).
fof(fact_1083_wt__wt_H,axiom,
! [Pa,Ha,E_1,Ea,T_3] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,Ea),T_3))
=> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,Ea),T_3)) ) ).
fof(fact_1084_WTrt_H__WTrts_H_Ointros_I21_J,axiom,
! [T_3,Pa,Ha,E_1,Ea,T_r] :
( hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,Ea),T_r))
=> ( hBOOL(hAPP_ty_bool(is_refT,T_r))
=> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,throw_list_char(Ea)),T_3)) ) ) ).
fof(fact_1085_WTrtFAccNT,axiom,
! [F,D,T_3,Pa,Ha,E_1,Ea] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,Ea),nt))
=> hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,fAcc_list_char(Ea,F,D)),T_3)) ) ).
fof(fact_1086_WTrtCallNT,axiom,
! [M,T_3,Esa,Ts,Pa,Ha,E_1,Ea] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,Ea),nt))
=> ( hBOOL(wTrts(Pa,Ha,E_1,Esa,Ts))
=> hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,call_list_char(Ea,M,Esa)),T_3)) ) ) ).
fof(fact_1087_typeof__h_Osimps_I2_J,axiom,
! [Ha] : hAPP_val_option_ty(typeof_h(Ha),null) = hAPP_ty_option_ty(some_ty,nt) ).
fof(fact_1088_WTrt_H__WTrts_H_Ointros_I2_J,axiom,
! [C,Pa,Ha,E_1,Ea,T_3] :
( hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,Ea),T_3))
=> ( hBOOL(hAPP_ty_bool(is_refT,T_3))
=> ( hBOOL(hAPP_list_char_bool(is_cla570604648t_char(Pa),C))
=> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,cast_list_char(C,Ea)),hAPP_list_char_ty(class,C))) ) ) ) ).
fof(fact_1089_WTrt_H__WTrts_H_Ointros_I17_J,axiom,
! [Pa,Ha,E_1,V,T_3,Ea,T_7] :
( hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,fun_up424764369ion_ty(E_1,V,hAPP_ty_option_ty(some_ty,T_3)),Ea),T_7))
=> ( ~ hBOOL(assigned(V,Ea))
=> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,block_list_char(V,T_3,Ea)),T_7)) ) ) ).
fof(fact_1090_WTrt_H__WTrts_H_Ointros_I22_J,axiom,
! [V,C,E_2,T_2_2,Pa,Ha,E_1,E_1_1,T_1_2] :
( hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,E_1_1),T_1_2))
=> ( hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,fun_up424764369ion_ty(E_1,V,hAPP_ty_option_ty(some_ty,hAPP_list_char_ty(class,C))),E_2),T_2_2))
=> ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_1_2),T_2_2))
=> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,tryCatch_list_char(E_1_1,C,V,E_2)),T_2_2)) ) ) ) ).
fof(fact_1091_WTrtFAcc,axiom,
! [F,T_3,D,Pa,Ha,E_1,Ea,C] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,Ea),hAPP_list_char_ty(class,C)))
=> ( hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(Pa,C,F,T_3),D))
=> hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,fAcc_list_char(Ea,F,D)),T_3)) ) ) ).
fof(fact_1092_WTrt__elim__cases_I7_J,axiom,
! [Pa,Ha,E_1,Ea,F,D,T_3] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,fAcc_list_char(Ea,F,D)),T_3))
=> ( ! [C_2] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,Ea),hAPP_list_char_ty(class,C_2)))
=> ~ hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(Pa,C_2,F,T_3),D)) )
=> hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,Ea),nt)) ) ) ).
fof(fact_1093_is__refT__def,axiom,
! [T_3] :
( hBOOL(hAPP_ty_bool(is_refT,T_3))
<=> ( T_3 = nt
| ? [C_2] : T_3 = hAPP_list_char_ty(class,C_2) ) ) ).
fof(fact_1094_ty_Osimps_I20_J,axiom,
! [List_1] : nt != hAPP_list_char_ty(class,List_1) ).
fof(fact_1095_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_1096_ty_Osimps_I21_J,axiom,
! [List_1] : hAPP_list_char_ty(class,List_1) != nt ).
fof(fact_1097_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_1098_WTrt_H__WTrts_H_Ointros_I10_J,axiom,
! [E_2,T_2_2,F,T_3,D,Pa,Ha,E_1,E_1_1,C] :
( hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,E_1_1),hAPP_list_char_ty(class,C)))
=> ( hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(Pa,C,F,T_3),D))
=> ( hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,E_2),T_2_2))
=> ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_2_2),T_3))
=> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,fAss_list_char(E_1_1,F,D,E_2)),void)) ) ) ) ) ).
fof(fact_1099_WTrtFAss,axiom,
! [E_2,T_2_2,F,T_3,D,Pa,Ha,E_1,E_1_1,C] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,E_1_1),hAPP_list_char_ty(class,C)))
=> ( hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(Pa,C,F,T_3),D))
=> ( hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,E_2),T_2_2))
=> ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_2_2),T_3))
=> hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,fAss_list_char(E_1_1,F,D,E_2)),void)) ) ) ) ) ).
fof(fact_1100_typeof__ClassCast,axiom,
! [Ha] :
( hBOOL(preallocated(Ha))
=> hAPP_val_option_ty(typeof_h(Ha),addr(addr_of_sys_xcpt(classCast))) = hAPP_ty_option_ty(some_ty,hAPP_list_char_ty(class,classCast)) ) ).
fof(fact_1101_WTrtLAss,axiom,
! [Pa,Ha,Ea,T_7,E_1,V,T_3] :
( hAPP_l512744617ion_ty(E_1,V) = hAPP_ty_option_ty(some_ty,T_3)
=> ( hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,Ea),T_7))
=> ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_7),T_3))
=> hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,lAss_list_char(V,Ea)),void)) ) ) ) ).
fof(fact_1102_ty_Osimps_I9_J,axiom,
! [List_1] : hAPP_list_char_ty(class,List_1) != void ).
fof(fact_1103_ty_Osimps_I8_J,axiom,
! [List_1] : void != hAPP_list_char_ty(class,List_1) ).
fof(fact_1104_preallocated__hext,axiom,
! [H_a,Ha] :
( hBOOL(preallocated(Ha))
=> ( hBOOL(hext(Ha,H_a))
=> hBOOL(preallocated(H_a)) ) ) ).
fof(fact_1105_ty_Osimps_I7_J,axiom,
nt != void ).
fof(fact_1106_ty_Osimps_I6_J,axiom,
void != nt ).
fof(fact_1107_preallocated__upd__obj,axiom,
! [Fs_2,A,C,Fs,Ha] :
( hBOOL(preallocated(Ha))
=> ( hAPP_n546249108on_val(Ha,A) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(C,Fs))
=> hBOOL(preallocated(fun_up2041264236on_val(Ha,A,hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(C,Fs_2))))) ) ) ).
fof(fact_1108_preallocated__new,axiom,
! [X_2,A,Ha] :
( hBOOL(preallocated(Ha))
=> ( hAPP_n546249108on_val(Ha,A) = none_P179726773on_val
=> hBOOL(preallocated(fun_up2041264236on_val(Ha,A,hAPP_P1510515380on_val(some_P948696889on_val,X_2)))) ) ) ).
fof(fact_1109_WTrtFAssNT,axiom,
! [F,D,E_2,T_2_2,Pa,Ha,E_1,E_1_1] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,E_1_1),nt))
=> ( hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,E_2),T_2_2))
=> hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,fAss_list_char(E_1_1,F,D,E_2)),void)) ) ) ).
fof(fact_1110_WTrt_H__WTrts_H_Ointros_I11_J,axiom,
! [F,D,E_2,T_2_2,Pa,Ha,E_1,E_1_1] :
( hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,E_1_1),nt))
=> ( hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,E_2),T_2_2))
=> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,fAss_list_char(E_1_1,F,D,E_2)),void)) ) ) ).
fof(fact_1111_typeof__h_Osimps_I1_J,axiom,
! [Ha] : hAPP_val_option_ty(typeof_h(Ha),unit) = hAPP_ty_option_ty(some_ty,void) ).
fof(fact_1112_typeof__NullPointer,axiom,
! [Ha] :
( hBOOL(preallocated(Ha))
=> hAPP_val_option_ty(typeof_h(Ha),addr(addr_of_sys_xcpt(nullPointer))) = hAPP_ty_option_ty(some_ty,hAPP_list_char_ty(class,nullPointer)) ) ).
fof(fact_1113_WTrt__elim__cases_I1_J,axiom,
! [Pa,Ha,E_1,V_1,Ea,T_3] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,lAss_list_char(V_1,Ea)),T_3))
=> ~ ( T_3 = void
=> ! [T_5] :
( hAPP_l512744617ion_ty(E_1,V_1) = hAPP_ty_option_ty(some_ty,T_5)
=> ! [T_6] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,Ea),T_6))
=> ~ hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_6),T_5)) ) ) ) ) ).
fof(fact_1114_WTrt__elim__cases_I8_J,axiom,
! [Pa,Ha,E_1,Ea,F,D,V_1,T_3] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,fAss_list_char(Ea,F,D,V_1)),T_3))
=> ( ( T_3 = void
=> ! [C_2] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,Ea),hAPP_list_char_ty(class,C_2)))
=> ! [T_5] :
( hBOOL(hAPP_list_char_bool(has_fi1183600461t_char(Pa,C_2,F,T_5),D))
=> ! [T_2_1] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,V_1),T_2_1))
=> ~ hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_2_1),T_5)) ) ) ) )
=> ~ ( T_3 = void
=> ( hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,Ea),nt))
=> ! [T_2_1] : ~ hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,V_1),T_2_1)) ) ) ) ) ).
fof(fact_1115_typeof__OutOfMemory,axiom,
! [Ha] :
( hBOOL(preallocated(Ha))
=> hAPP_val_option_ty(typeof_h(Ha),addr(addr_of_sys_xcpt(outOfMemory))) = hAPP_ty_option_ty(some_ty,hAPP_list_char_ty(class,outOfMemory)) ) ).
fof(fact_1116_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_1117_red__reds_ORedNewFail,axiom,
! [C,La,Pa,Ha] :
( new_Addr(Ha) = none_nat
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(new_list_char(C),produc899768717on_val(Ha,La)),produc1259058957on_val(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(outOfMemory)))),produc899768717on_val(Ha,La))),red(Pa))) ) ).
fof(fact_1118_WTrtNew,axiom,
! [Ha,E_1,Pa,C] :
( hBOOL(hAPP_list_char_bool(is_cla570604648t_char(Pa),C))
=> hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,new_list_char(C)),hAPP_list_char_ty(class,C))) ) ).
fof(fact_1119_WTrt__elim__cases_I10_J,axiom,
! [Pa,Ha,E_1,C,T_3] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,new_list_char(C)),T_3))
=> ~ ( T_3 = hAPP_list_char_ty(class,C)
=> ~ hBOOL(hAPP_list_char_bool(is_cla570604648t_char(Pa),C)) ) ) ).
fof(fact_1120_new__Addr__SomeD,axiom,
! [Ha,A] :
( new_Addr(Ha) = hAPP_nat_option_nat(some_nat,A)
=> hAPP_n546249108on_val(Ha,A) = none_P179726773on_val ) ).
fof(fact_1121_WTrt_H__WTrts_H_Ointros_I1_J,axiom,
! [Ha,E_1,Pa,C] :
( hBOOL(hAPP_list_char_bool(is_cla570604648t_char(Pa),C))
=> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,new_list_char(C)),hAPP_list_char_ty(class,C))) ) ).
fof(fact_1122_NewFail,axiom,
! [Pa,C,La,Ha] :
( new_Addr(Ha) = none_nat
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,new_list_char(C),produc899768717on_val(Ha,La)),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(outOfMemory))))),produc899768717on_val(Ha,La))) ) ).
fof(fact_1123_redp__redsp_ORedNewFail,axiom,
! [Pa,C,La,Ha] :
( new_Addr(Ha) = none_nat
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,new_list_char(C),produc899768717on_val(Ha,La)),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(outOfMemory))))),produc899768717on_val(Ha,La))) ) ).
fof(fact_1124_preallocated__def,axiom,
! [Ha] :
( hBOOL(preallocated(Ha))
<=> ! [X_1] :
( hBOOL(member_list_char(X_1,sys_xcpts))
=> ? [Fs_1] : hAPP_n546249108on_val(Ha,addr_of_sys_xcpt(X_1)) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(X_1,Fs_1)) ) ) ).
fof(fact_1125_preallocatedD,axiom,
! [C,Ha] :
( hBOOL(preallocated(Ha))
=> ( hBOOL(member_list_char(C,sys_xcpts))
=> ? [Fs_1] : hAPP_n546249108on_val(Ha,addr_of_sys_xcpt(C)) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(C,Fs_1)) ) ) ).
fof(fact_1126_preallocatedE,axiom,
! [Pa,C,Ha] :
( hBOOL(preallocated(Ha))
=> ( hBOOL(member_list_char(C,sys_xcpts))
=> ( ! [Fs_1] :
( hAPP_n546249108on_val(Ha,addr_of_sys_xcpt(C)) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(C,Fs_1))
=> hBOOL(hAPP_list_char_bool(hAPP_f388705405r_bool(Pa,Ha),C)) )
=> hBOOL(hAPP_list_char_bool(hAPP_f388705405r_bool(Pa,Ha),C)) ) ) ) ).
fof(fact_1127_red__reds_ORedNew,axiom,
! [La,H_a,Pa,C,FDTs,Ha,A] :
( new_Addr(Ha) = hAPP_nat_option_nat(some_nat,A)
=> ( hBOOL(fields1147507508t_char(Pa,C,FDTs))
=> ( H_a = fun_up2041264236on_val(Ha,A,hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(C,init_fields(FDTs))))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(new_list_char(C),produc899768717on_val(Ha,La)),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,addr(A)),produc899768717on_val(H_a,La))),red(Pa))) ) ) ) ).
fof(fact_1128_redp__redsp_ORedNew,axiom,
! [La,H_a,Pa,C,FDTs,Ha,A] :
( new_Addr(Ha) = hAPP_nat_option_nat(some_nat,A)
=> ( hBOOL(fields1147507508t_char(Pa,C,FDTs))
=> ( H_a = fun_up2041264236on_val(Ha,A,hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(C,init_fields(FDTs))))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,new_list_char(C),produc899768717on_val(Ha,La)),hAPP_v834067052t_char(val_list_char,addr(A))),produc899768717on_val(H_a,La))) ) ) ) ).
fof(fact_1129_New,axiom,
! [La,H_a,Pa,C,FDTs,Ha,A] :
( new_Addr(Ha) = hAPP_nat_option_nat(some_nat,A)
=> ( hBOOL(fields1147507508t_char(Pa,C,FDTs))
=> ( H_a = fun_up2041264236on_val(Ha,A,hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(C,init_fields(FDTs))))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,new_list_char(C),produc899768717on_val(Ha,La)),hAPP_v834067052t_char(val_list_char,addr(A))),produc899768717on_val(H_a,La))) ) ) ) ).
fof(fact_1130_WTrt_H__WTrts_H_Ointros_I15_J,axiom,
! [Esa,Ts,Pa,Ha,E_1,Ea,T_3] :
( hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,Ea),T_3))
=> ( hBOOL(wTrts_1(Pa,Ha,E_1,Esa,Ts))
=> hBOOL(wTrts_1(Pa,Ha,E_1,cons_exp_list_char(Ea,Esa),cons_ty(T_3,Ts))) ) ) ).
fof(fact_1131_WTrtBinOpEq,axiom,
! [E_2,T_2_2,Pa,Ha,E_1,E_1_1,T_1_2] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,E_1_1),T_1_2))
=> ( hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,E_2),T_2_2))
=> hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,binOp_list_char(E_1_1,c_Expr_Obop_OEq,E_2)),boolean)) ) ) ).
fof(fact_1132_WTrtCond,axiom,
! [T_3,E_2,T_2_2,E_1_1,T_1_2,Pa,Ha,E_1,Ea] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,Ea),boolean))
=> ( hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,E_1_1),T_1_2))
=> ( hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,E_2),T_2_2))
=> ( ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_1_2),T_2_2))
| hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_2_2),T_1_2)) )
=> ( ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_1_2),T_2_2))
=> T_3 = T_2_2 )
=> ( ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_2_2),T_1_2))
=> T_3 = T_1_2 )
=> hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,cond_list_char(Ea,E_1_1,E_2)),T_3)) ) ) ) ) ) ) ).
fof(fact_1133_WTrtWhile,axiom,
! [C_1,T_3,Pa,Ha,E_1,Ea] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,Ea),boolean))
=> ( hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,C_1),T_3))
=> hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,while_list_char(Ea,C_1)),void)) ) ) ).
fof(fact_1134_ty_Osimps_I3_J,axiom,
boolean != void ).
fof(fact_1135_ty_Osimps_I2_J,axiom,
void != boolean ).
fof(fact_1136_ty_Osimps_I12_J,axiom,
boolean != nt ).
fof(fact_1137_ty_Osimps_I13_J,axiom,
nt != boolean ).
fof(fact_1138_ty_Osimps_I15_J,axiom,
! [List_1] : hAPP_list_char_ty(class,List_1) != boolean ).
fof(fact_1139_ty_Osimps_I14_J,axiom,
! [List_1] : boolean != hAPP_list_char_ty(class,List_1) ).
fof(fact_1140_wts_H__iff__wts,axiom,
! [Pa,Ha,E_1,Esa,Ts] :
( hBOOL(wTrts_1(Pa,Ha,E_1,Esa,Ts))
<=> hBOOL(wTrts(Pa,Ha,E_1,Esa,Ts)) ) ).
fof(fact_1141_wts_H__wts,axiom,
! [Pa,Ha,E_1,Esa,Ts] :
( hBOOL(wTrts_1(Pa,Ha,E_1,Esa,Ts))
=> hBOOL(wTrts(Pa,Ha,E_1,Esa,Ts)) ) ).
fof(fact_1142_wts__wts_H,axiom,
! [Pa,Ha,E_1,Esa,Ts] :
( hBOOL(wTrts(Pa,Ha,E_1,Esa,Ts))
=> hBOOL(wTrts_1(Pa,Ha,E_1,Esa,Ts)) ) ).
fof(fact_1143_WTrt_H__WTrts_H_Ointros_I19_J,axiom,
! [T_3,E_2,T_2_2,E_1_1,T_1_2,Pa,Ha,E_1,Ea] :
( hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,Ea),boolean))
=> ( hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,E_1_1),T_1_2))
=> ( hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,E_2),T_2_2))
=> ( ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_1_2),T_2_2))
| hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_2_2),T_1_2)) )
=> ( ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_1_2),T_2_2))
=> T_3 = T_2_2 )
=> ( ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_2_2),T_1_2))
=> T_3 = T_1_2 )
=> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,cond_list_char(Ea,E_1_1,E_2)),T_3)) ) ) ) ) ) ) ).
fof(fact_1144_WTrt_H__WTrts_H_Ointros_I20_J,axiom,
! [C_1,T_3,Pa,Ha,E_1,Ea] :
( hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,Ea),boolean))
=> ( hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,C_1),T_3))
=> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,while_list_char(Ea,C_1)),void)) ) ) ).
fof(fact_1145_typeof__h_Osimps_I3_J,axiom,
! [Ha,B] : hAPP_val_option_ty(typeof_h(Ha),bool(B)) = hAPP_ty_option_ty(some_ty,boolean) ).
fof(fact_1146_WTrt_H__WTrts_H_Ointros_I5_J,axiom,
! [E_2,T_2_2,Pa,Ha,E_1,E_1_1,T_1_2] :
( hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,E_1_1),T_1_2))
=> ( hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,E_2),T_2_2))
=> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,binOp_list_char(E_1_1,c_Expr_Obop_OEq,E_2)),boolean)) ) ) ).
fof(fact_1147_WTrt_H__WTrts_H_Ointros_I13_J,axiom,
! [M,T_3,Esa,Ts,Pa,Ha,E_1,Ea] :
( hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,Ea),nt))
=> ( hBOOL(wTrts_1(Pa,Ha,E_1,Esa,Ts))
=> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,call_list_char(Ea,M,Esa)),T_3)) ) ) ).
fof(fact_1148_WTrt__elim__cases_I3_J,axiom,
! [Pa,Ha,E_1,Ea,C_1,T_3] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,while_list_char(Ea,C_1)),T_3))
=> ~ ( T_3 = void
=> ( hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,Ea),boolean))
=> ! [T_5] : ~ hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,C_1),T_5)) ) ) ) ).
fof(fact_1149_WTrt__elim__cases_I2_J,axiom,
! [Pa,Ha,E_1,Ea,E_1_1,E_2,T_3] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,cond_list_char(Ea,E_1_1,E_2)),T_3))
=> ~ ( hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,Ea),boolean))
=> ! [T_1_1] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,E_1_1),T_1_1))
=> ! [T_2_1] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,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))
=> T_3 = T_2_1 )
=> ~ ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_2_1),T_1_1))
=> T_3 = T_1_1 ) ) ) ) ) ) ) ).
fof(fact_1150_WTrt__elim__cases_I9_J,axiom,
! [Pa,Ha,E_1,E_1_1,Bop,E_2,T_3] :
( is_bop(Bop)
=> ( hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,binOp_list_char(E_1_1,Bop,E_2)),T_3))
=> ( ( T_3 = boolean
=> ( ? [T_1_1] : hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,E_1_1),T_1_1))
=> ( ? [X1] : hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,E_2),X1))
=> Bop != c_Expr_Obop_OEq ) ) )
=> ~ ( T_3 = integer
=> ( hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,E_1_1),integer))
=> ( hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,E_2),integer))
=> Bop != add ) ) ) ) ) ) ).
fof(fact_1151_WTrtBinOpAdd,axiom,
! [E_2,Pa,Ha,E_1,E_1_1] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,E_1_1),integer))
=> ( hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,E_2),integer))
=> hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,binOp_list_char(E_1_1,add,E_2)),integer)) ) ) ).
fof(fact_1152_ty_Osimps_I10_J,axiom,
boolean != integer ).
fof(fact_1153_ty_Osimps_I11_J,axiom,
integer != boolean ).
fof(fact_1154_ty_Osimps_I18_J,axiom,
! [List_1] : integer != hAPP_list_char_ty(class,List_1) ).
fof(fact_1155_ty_Osimps_I19_J,axiom,
! [List_1] : hAPP_list_char_ty(class,List_1) != integer ).
fof(fact_1156_ty_Osimps_I17_J,axiom,
nt != integer ).
fof(fact_1157_ty_Osimps_I16_J,axiom,
integer != nt ).
fof(fact_1158_ty_Osimps_I4_J,axiom,
void != integer ).
fof(fact_1159_ty_Osimps_I5_J,axiom,
integer != void ).
fof(fact_1160_WTrt_H__WTrts_H_Ointros_I6_J,axiom,
! [E_2,Pa,Ha,E_1,E_1_1] :
( hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,E_1_1),integer))
=> ( hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,E_2),integer))
=> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,binOp_list_char(E_1_1,add,E_2)),integer)) ) ) ).
fof(fact_1161_not__refTE,axiom,
! [T_4] :
( ~ hBOOL(hAPP_ty_bool(is_refT,T_4))
=> ( T_4 = void
| T_4 = boolean
| T_4 = integer ) ) ).
fof(fact_1162_ty_Oexhaust,axiom,
! [Y] :
( Y != void
=> ( Y != boolean
=> ( Y != integer
=> ( Y != nt
=> ~ ! [List] : Y != hAPP_list_char_ty(class,List) ) ) ) ) ).
fof(fact_1163_red__reds_ORedCall,axiom,
! [Vs_1,Pa,M,Ts,T_3,Pns,Body,D,S_1,A,C,Fs] :
( hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S_1),A) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(C,Fs))
=> ( hBOOL(hAPP_list_char_bool(method1809630380t_char(Pa,C,M,Ts,T_3,produc1147572817t_char(Pns,Body)),D))
=> ( size_size_list_val(Vs_1) = size_s2113983095t_char(Pns)
=> ( size_size_list_ty(Ts) = size_s2113983095t_char(Pns)
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(call_list_char(hAPP_v834067052t_char(val_list_char,addr(A)),M,map_va1934808527t_char(val_list_char,Vs_1)),S_1),produc1259058957on_val(blocks(produc921874948t_char(cons_list_char(this,Pns),produc1909267824t_char(cons_ty(hAPP_list_char_ty(class,D),Ts),produc1916172923t_char(cons_val(addr(A),Vs_1),Body)))),S_1)),red(Pa))) ) ) ) ) ).
fof(fact_1164_blocksFinal,axiom,
! [Ha,La,Pa,Ea,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(Ea))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(blocks(produc921874948t_char(Vs,produc1909267824t_char(Ts,produc1916172923t_char(Vs_1,Ea)))),produc899768717on_val(Ha,La)),produc1259058957on_val(Ea,produc899768717on_val(Ha,La))),transi2024712006on_val(red(Pa)))) ) ) ) ).
fof(fact_1165_redp__redsp_ORedCall,axiom,
! [Vs_1,Pa,M,Ts,T_3,Pns,Body,D,S_1,A,C,Fs] :
( hAPP_n546249108on_val(hAPP_P703866694on_val(hp,S_1),A) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(C,Fs))
=> ( hBOOL(hAPP_list_char_bool(method1809630380t_char(Pa,C,M,Ts,T_3,produc1147572817t_char(Pns,Body)),D))
=> ( size_size_list_val(Vs_1) = size_s2113983095t_char(Pns)
=> ( size_size_list_ty(Ts) = size_s2113983095t_char(Pns)
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,call_list_char(hAPP_v834067052t_char(val_list_char,addr(A)),M,map_va1934808527t_char(val_list_char,Vs_1)),S_1),blocks(produc921874948t_char(cons_list_char(this,Pns),produc1909267824t_char(cons_ty(hAPP_list_char_ty(class,D),Ts),produc1916172923t_char(cons_val(addr(A),Vs_1),Body))))),S_1)) ) ) ) ) ).
fof(fact_1166_WTrts__same__length,axiom,
! [Pa,Ha,E_1,Esa,Ts] :
( hBOOL(wTrts(Pa,Ha,E_1,Esa,Ts))
=> size_s1143674878t_char(Esa) = size_size_list_ty(Ts) ) ).
fof(fact_1167_blocksEval,axiom,
! [Pa,Ea,Ha,La,E_a,H_a,L_a,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(produc921874948t_char(Ps,produc1909267824t_char(Ts,produc1916172923t_char(Vs_1,Ea)))),produc899768717on_val(Ha,La)),E_a),produc899768717on_val(H_a,L_a)))
=> ? [L_4] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,produc899768717on_val(Ha,map_up1085636310ar_val(La,Ps,Vs_1))),E_a),produc899768717on_val(H_a,L_4))) ) ) ) ).
fof(fact_1168_WTrt_H__WTrts_H_Ointros_I12_J,axiom,
! [Esa,Ts_1,M,Ts,T_3,Pns,Body,D,Pa,Ha,E_1,Ea,C] :
( hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,Ea),hAPP_list_char_ty(class,C)))
=> ( hBOOL(hAPP_list_char_bool(method1809630380t_char(Pa,C,M,Ts,T_3,produc1147572817t_char(Pns,Body)),D))
=> ( hBOOL(wTrts_1(Pa,Ha,E_1,Esa,Ts_1))
=> ( hBOOL(list_all2_ty_ty(widen_2090681816t_char(Pa),Ts_1,Ts))
=> hBOOL(hAPP_ty_bool(wTrt_1(Pa,Ha,E_1,call_list_char(Ea,M,Esa)),T_3)) ) ) ) ) ).
fof(fact_1169_WTrtCall,axiom,
! [Esa,Ts_1,M,Ts,T_3,Pns,Body,D,Pa,Ha,E_1,Ea,C] :
( hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,Ea),hAPP_list_char_ty(class,C)))
=> ( hBOOL(hAPP_list_char_bool(method1809630380t_char(Pa,C,M,Ts,T_3,produc1147572817t_char(Pns,Body)),D))
=> ( hBOOL(wTrts(Pa,Ha,E_1,Esa,Ts_1))
=> ( hBOOL(list_all2_ty_ty(widen_2090681816t_char(Pa),Ts_1,Ts))
=> hBOOL(hAPP_ty_bool(wTrt(Pa,Ha,E_1,call_list_char(Ea,M,Esa)),T_3)) ) ) ) ) ).
fof(fact_1170_Call,axiom,
! [E_a,H_3,L_3,L_2_1,M,Ts,T_3,Pns,Body,D,C,Fs,Ps,Vs_1,H_2,L_2,Pa,Ea,S_0,A,S_1_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,addr(A))),S_1_1))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Ps,S_1_1),map_va1934808527t_char(val_list_char,Vs_1)),produc899768717on_val(H_2,L_2)))
=> ( hAPP_n546249108on_val(H_2,A) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(C,Fs))
=> ( hBOOL(hAPP_list_char_bool(method1809630380t_char(Pa,C,M,Ts,T_3,produc1147572817t_char(Pns,Body)),D))
=> ( size_size_list_val(Vs_1) = size_s2113983095t_char(Pns)
=> ( L_2_1 = map_up1085636310ar_val(fun_up1149430426on_val(hAPP_o538043682on_val(cOMBK_1097134891t_char,none_val),this,hAPP_val_option_val(some_val,addr(A))),Pns,Vs_1)
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Body,produc899768717on_val(H_2,L_2_1)),E_a),produc899768717on_val(H_3,L_3)))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,call_list_char(Ea,M,Ps),S_0),E_a),produc899768717on_val(H_3,L_2))) ) ) ) ) ) ) ) ).
fof(fact_1171_typeof__lit__typeof,axiom,
! [Ha,V_1,T_3] :
( hAPP_val_option_ty(typeof_h(hAPP_o1576581476on_val(cOMBK_1944287343al_nat,none_P179726773on_val)),V_1) = hAPP_ty_option_ty(some_ty,T_3)
=> hAPP_val_option_ty(typeof_h(Ha),V_1) = hAPP_ty_option_ty(some_ty,T_3) ) ).
fof(fact_1172_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(produc1441475159on_val(produc1259058957on_val(X_1,Xa),produc1259058957on_val(Xb,Xc)),red(Pa))) ) ).
fof(fact_1173_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(produc1611380469on_val(produc379668296on_val(X_1,Xa),produc379668296on_val(Xb,Xc)),reds(Pa))) ) ).
fof(fact_1174_CallRedsFinal,axiom,
! [Ef,H_3,L_3,L_2_1,M,Ts,T_3,Pns,Body,D,C,Fs,Esa,Vs_1,H_2,L_2,Ea,S_0,A,S_1_1,Pa] :
( hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa))
=> ( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_0),produc1259058957on_val(hAPP_v834067052t_char(val_list_char,addr(A)),S_1_1)),transi2024712006on_val(red(Pa))))
=> ( hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(Esa,S_1_1),produc379668296on_val(map_va1934808527t_char(val_list_char,Vs_1),produc899768717on_val(H_2,L_2))),transi374442731on_val(reds(Pa))))
=> ( hAPP_n546249108on_val(H_2,A) = hAPP_P1510515380on_val(some_P948696889on_val,produc823076510on_val(C,Fs))
=> ( hBOOL(hAPP_list_char_bool(method1809630380t_char(Pa,C,M,Ts,T_3,produc1147572817t_char(Pns,Body)),D))
=> ( size_size_list_val(Vs_1) = size_s2113983095t_char(Pns)
=> ( L_2_1 = map_up1085636310ar_val(fun_up1149430426on_val(hAPP_o538043682on_val(cOMBK_1097134891t_char,none_val),this,hAPP_val_option_val(some_val,addr(A))),Pns,Vs_1)
=> ( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Body,produc899768717on_val(H_2,L_2_1)),produc1259058957on_val(Ef,produc899768717on_val(H_3,L_3))),transi2024712006on_val(red(Pa))))
=> ( hBOOL(final_list_char(Ef))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(call_list_char(Ea,M,Esa),S_0),produc1259058957on_val(Ef,produc899768717on_val(H_3,L_2))),transi2024712006on_val(red(Pa)))) ) ) ) ) ) ) ) ) ) ).
fof(fact_1175_extend__1__eval,axiom,
! [E_a,S,Ea,S_1,E,S_2,Pa] :
( hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa))
=> ( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E,S_2)),red(Pa)))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E,S_2),E_a),S))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),E_a),S)) ) ) ) ).
fof(fact_1176_extend__1__evals,axiom,
! [Es_a,T_2,Esa,T_1,Es,T,Pa] :
( hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa))
=> ( hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(Esa,T_1),produc379668296on_val(Es,T)),reds(Pa)))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Es,T),Es_a),T_2))
=> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,T_1),Es_a),T_2)) ) ) ) ).
fof(fact_1177_big__by__small,axiom,
! [Ea,S_1,E_a,S,Pa] :
( hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),E_a),S))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),transi2024712006on_val(red(Pa)))) ) ) ).
fof(fact_1178_extend__eval,axiom,
! [E_a,S,Ea,S_1,E,S_2,Pa] :
( hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa))
=> ( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E,S_2)),transi2024712006on_val(red(Pa))))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E,S_2),E_a),S))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),E_a),S)) ) ) ) ).
fof(fact_1179_bigs__by__smalls,axiom,
! [Esa,S_1,Es_a,S,Pa] :
( hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,S_1),Es_a),S))
=> hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(Esa,S_1),produc379668296on_val(Es_a,S)),transi374442731on_val(reds(Pa)))) ) ) ).
fof(fact_1180_extend__evals,axiom,
! [Es_a,S,Esa,S_1,Es,S_2,Pa] :
( hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa))
=> ( hBOOL(member875476972on_val(produc1611380469on_val(produc379668296on_val(Esa,S_1),produc379668296on_val(Es,S_2)),transi374442731on_val(reds(Pa))))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Es,S_2),Es_a),S))
=> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,S_1),Es_a),S)) ) ) ) ).
fof(fact_1181_small__by__big,axiom,
! [Ea,S_1,E_a,S,Pa] :
( hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa))
=> ( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),transi2024712006on_val(red(Pa))))
=> ( hBOOL(final_list_char(E_a))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),E_a),S)) ) ) ) ).
fof(fact_1182_big__iff__small,axiom,
! [Ea,S_1,E_a,S,Pa] :
( hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_1),E_a),S))
<=> ( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,S_1),produc1259058957on_val(E_a,S)),transi2024712006on_val(red(Pa))))
& hBOOL(final_list_char(E_a)) ) ) ) ).
fof(fact_1183_typeof__h_Osimps_I5_J,axiom,
! [Ha,A] : hAPP_val_option_ty(typeof_h(Ha),addr(A)) = option1388193227on_val(none_ty,produc907433735ion_ty(cOMBB_352765746t_char(cOMBK_184479553on_val,cOMBB_1888336841t_char(some_ty,class))),hAPP_n546249108on_val(Ha,A)) ).
fof(fact_1184_blocksRedsFinal,axiom,
! [L,Ea,Ha,La,E_a,H_a,L_a,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(produc1441475159on_val(produc1259058957on_val(Ea,produc899768717on_val(Ha,map_up1085636310ar_val(La,Vs,Vs_1))),produc1259058957on_val(E_a,produc899768717on_val(H_a,L_a))),transi2024712006on_val(red(Pa))))
=> ( hBOOL(final_list_char(E_a))
=> ( L = overri2012515291on_val(L_a,La,set_list_char(Vs))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(blocks(produc921874948t_char(Vs,produc1909267824t_char(Ts,produc1916172923t_char(Vs_1,Ea)))),produc899768717on_val(Ha,La)),produc1259058957on_val(E_a,produc899768717on_val(H_a,L))),transi2024712006on_val(red(Pa)))) ) ) ) ) ) ) ).
fof(fact_1185_blocksReds,axiom,
! [Ea,Ha,La,E_a,H_a,L_a,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(produc1441475159on_val(produc1259058957on_val(Ea,produc899768717on_val(Ha,map_up1085636310ar_val(La,Vs,Vs_1))),produc1259058957on_val(E_a,produc899768717on_val(H_a,L_a))),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(blocks(produc921874948t_char(Vs,produc1909267824t_char(Ts,produc1916172923t_char(Vs_1,Ea)))),produc899768717on_val(Ha,La)),produc1259058957on_val(blocks(produc921874948t_char(Vs,produc1909267824t_char(Ts,produc1916172923t_char(map_list_char_val(comp_o1129292306t_char(the_val,L_a),Vs),E_a)))),produc899768717on_val(H_a,overri2012515291on_val(L_a,La,set_list_char(Vs))))),transi2024712006on_val(red(Pa)))) ) ) ) ) ).
fof(fact_1186_Red__fv,axiom,
! [Ea,Ha,La,E_a,H_a,L_a,Pa] :
( hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa))
=> ( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,produc899768717on_val(Ha,La)),produc1259058957on_val(E_a,produc899768717on_val(H_a,L_a))),red(Pa)))
=> hBOOL(ord_le2092826700r_bool(fv(E_a),fv(Ea))) ) ) ).
fof(fact_1187_fv__fvs_Osimps_I7_J,axiom,
! [Ea,F,D] : fv(fAcc_list_char(Ea,F,D)) = fv(Ea) ).
fof(fact_1188_fv__fvs_Osimps_I14_J,axiom,
! [Ea] : fv(throw_list_char(Ea)) = fv(Ea) ).
fof(fact_1189_fv__fvs_Osimps_I2_J,axiom,
! [C,Ea] : fv(cast_list_char(C,Ea)) = fv(Ea) ).
fof(fact_1190_eval__notfree__unchanged,axiom,
! [V,Pa,Ea,Ha,La,E_a,H_a,L_a] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,produc899768717on_val(Ha,La)),E_a),produc899768717on_val(H_a,L_a)))
=> ( ~ hBOOL(member_list_char(V,fv(Ea)))
=> hAPP_l207779698on_val(L_a,V) = hAPP_l207779698on_val(La,V) ) ) ).
fof(fact_1191_eval__restrict__lcl,axiom,
! [W,Ea,Ha,La,E_a,H_a,L_a,Pa] :
( hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,produc899768717on_val(Ha,La)),E_a),produc899768717on_val(H_a,L_a)))
=> ( hBOOL(ord_le2092826700r_bool(fv(Ea),W))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,produc899768717on_val(Ha,restri761823004ar_val(La,W))),E_a),produc899768717on_val(H_a,restri761823004ar_val(L_a,W)))) ) ) ) ).
fof(fact_1192_cname__of__xcp,axiom,
! [C,Ha] :
( hBOOL(preallocated(Ha))
=> ( hBOOL(member_list_char(C,sys_xcpts))
=> hAPP_P1789965269t_char(produc1230355531on_val,hAPP_o1977518472on_val(the_Pr431167171on_val,hAPP_n546249108on_val(Ha,addr_of_sys_xcpt(C)))) = C ) ) ).
fof(fact_1193_obj__ty__def,axiom,
! [Obj] : obj_ty(Obj) = hAPP_list_char_ty(class,hAPP_P1789965269t_char(produc1230355531on_val,Obj)) ).
fof(fact_1194_hp__def,axiom,
hp = produc1517998010on_val ).
fof(fact_1195_eval__lcl__incr,axiom,
! [Pa,Ea,H_0,L_0,E_a,H_1,L_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,produc899768717on_val(H_0,L_0)),E_a),produc899768717on_val(H_1,L_1)))
=> hBOOL(ord_le2092826700r_bool(dom_list_char_val(L_0),dom_list_char_val(L_1))) ) ).
fof(fact_1196_evals__lcl__incr,axiom,
! [Pa,Esa,H_0,L_0,Es_a,H_1,L_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Esa,produc899768717on_val(H_0,L_0)),Es_a),produc899768717on_val(H_1,L_1)))
=> hBOOL(ord_le2092826700r_bool(dom_list_char_val(L_0),dom_list_char_val(L_1))) ) ).
fof(fact_1197_preallocated__dom,axiom,
! [C,Ha] :
( hBOOL(preallocated(Ha))
=> ( hBOOL(member_list_char(C,sys_xcpts))
=> hBOOL(member_nat(addr_of_sys_xcpt(C),dom_na996029170on_val(Ha))) ) ) ).
fof(fact_1198_red__lcl__incr,axiom,
! [Ea,H_0,L_0,E_a,H_1,L_1,Pa] :
( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,produc899768717on_val(H_0,L_0)),produc1259058957on_val(E_a,produc899768717on_val(H_1,L_1))),red(Pa)))
=> hBOOL(ord_le2092826700r_bool(dom_list_char_val(L_0),dom_list_char_val(L_1))) ) ).
fof(fact_1199_Reds__dom__lcl,axiom,
! [Ea,Ha,La,E_a,H_a,L_a,Pa] :
( hBOOL(wf_pro755087577t_char(wwf_J_mdecl,Pa))
=> ( hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(Ea,produc899768717on_val(Ha,La)),produc1259058957on_val(E_a,produc899768717on_val(H_a,L_a))),transi2024712006on_val(red(Pa))))
=> hBOOL(ord_le2092826700r_bool(dom_list_char_val(L_a),semila919158006r_bool(dom_list_char_val(La),fv(Ea)))) ) ) ).
%----Helper facts (11)
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_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(cOMBB_1888336841t_char(P,Q),R) = hAPP_ty_option_ty(P,hAPP_list_char_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_COMBK_1_1_COMBK_000tc__Option__Ooption_Itc__prod_Itc__List__Olist_Itc__Stri,axiom,
! [P,Q] : hAPP_n546249108on_val(hAPP_o1576581476on_val(cOMBK_1944287343al_nat,P),Q) = P ).
fof(help_COMBB_1_1_COMBB_000tc__Option__Ooption_Itc__Type__Oty_J_000tc__fun_Itc__fun,axiom,
! [P,Q,R] : hAPP_l2000496933ion_ty(cOMBB_352765746t_char(P,Q),R) = hAPP_o534509643ion_ty(P,hAPP_l512744617ion_ty(Q,R)) ).
%----Conjectures (4)
fof(conj_0,hypothesis,
hBOOL(member773094996on_val(produc1441475159on_val(produc1259058957on_val(e,produc899768717on_val(h_1,l_1)),produc1259058957on_val(e_2,produc899768717on_val(h,l))),red(p))) ).
fof(conj_1,hypothesis,
hBOOL(hAPP_ty_bool(wTrt(p,h_1,e_1,e),t)) ).
fof(conj_2,hypothesis,
hBOOL(hconf_97414254t_char(p,h_1)) ).
fof(conj_3,conjecture,
hBOOL(hconf_97414254t_char(p,h)) ).
%------------------------------------------------------------------------------