TPTP Problem File: SWW476+2.p
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%------------------------------------------------------------------------------
% File : SWW476+2 : TPTP v8.2.0. Released v5.3.0.
% Domain : Software Verification
% Problem : Java type soundness line 197, 500 axioms selected
% Version : Especial.
% English :
% Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe
% Source : [Bla11]
% Names : jinja_500_fofmg_l197 [Bla11]
% Status : Theorem
% Rating : 1.00 v5.3.0
% Syntax : Number of formulae : 784 ( 243 unt; 0 def)
% Number of atoms : 1799 ( 575 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 1345 ( 330 ~; 6 |; 34 &)
% ( 96 <=>; 879 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 7 avg)
% Maximal term depth : 13 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 0 prp; 1-2 aty)
% Number of functors : 367 ( 367 usr; 27 con; 0-6 aty)
% Number of variables : 3581 (3487 !; 94 ?)
% SPC : FOF_THM_RFO_SEQ
% Comments : This file was generated by Isabelle (most likely Sledgehammer)
% 2011-08-09 14:24:34
% : Encoded with monomorphized guards.
%------------------------------------------------------------------------------
%----Explicit typings (73)
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__,axiom,
! [B_1_1,B_2_1] : is_bool(hconf_97414254t_char(B_1_1,B_2_1)) ).
fof(gsy_c_Conform_Olconf_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__,axiom,
! [B_1_1,B_2_1,B_3_1,B_4_1] : is_bool(lconf_496643946t_char(B_1_1,B_2_1,B_3_1,B_4_1)) ).
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__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J_J,axiom,
! [B_1_1,B_2_1,B_3_1] : is_bool(list_a52822260ion_ty(B_1_1,B_2_1,B_3_1)) ).
fof(gsy_c_List_Olist__all2_000tc__List__Olist_Itc__String__Ochar_J_000tc__Option__Oo,axiom,
! [B_1_1,B_2_1,B_3_1] : is_bool(list_a1834344429ion_ty(B_1_1,B_2_1,B_3_1)) ).
fof(gsy_c_List_Olist__all2_000tc__Option__Ooption_Itc__Type__Oty_J_000tc__Expr__Oexp,axiom,
! [B_1_1,B_2_1,B_3_1] : is_bool(list_a283687028t_char(B_1_1,B_2_1,B_3_1)) ).
fof(gsy_c_List_Olist__all2_000tc__Option__Ooption_Itc__Type__Oty_J_000tc__List__Olis,axiom,
! [B_1_1,B_2_1,B_3_1] : is_bool(list_a839443437t_char(B_1_1,B_2_1,B_3_1)) ).
fof(gsy_c_List_Olist__all2_000tc__Option__Ooption_Itc__Type__Oty_J_000tc__Type__Oty,axiom,
! [B_1_1,B_2_1,B_3_1] : is_bool(list_a2039389316_ty_ty(B_1_1,B_2_1,B_3_1)) ).
fof(gsy_c_List_Olist__all2_000tc__Option__Ooption_Itc__Type__Oty_J_000tc__Value__Ova,axiom,
! [B_1_1,B_2_1,B_3_1] : is_bool(list_a1073113293ty_val(B_1_1,B_2_1,B_3_1)) ).
fof(gsy_c_List_Olist__all2_000tc__Type__Oty_000tc__Option__Ooption_Itc__Type__Oty_J,axiom,
! [B_1_1,B_2_1,B_3_1] : is_bool(list_a1880637950ion_ty(B_1_1,B_2_1,B_3_1)) ).
fof(gsy_c_List_Olist__all2_000tc__Type__Oty_000tc__Type__Oty,hypothesis,
! [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_List_Olist__all2_000tc__Value__Oval_000tc__Option__Ooption_Itc__Type__Oty_,axiom,
! [B_1_1,B_2_1,B_3_1] : is_bool(list_a1462908359ion_ty(B_1_1,B_2_1,B_3_1)) ).
fof(gsy_c_List_Olist__all2_000tc__Value__Oval_000tc__Type__Oty,axiom,
! [B_1_1,B_2_1,B_3_1] : is_bool(list_all2_val_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_Type_Ois__refT,axiom,
! [B_1_1] : is_bool(is_refT(B_1_1)) ).
fof(gsy_c_WellTypeRT_OWTrt,hypothesis,
! [B_1_1,B_2_1,B_3_1,B_4_1,B_5] : is_bool(wTrt(B_1_1,B_2_1,B_3_1,B_4_1,B_5)) ).
fof(gsy_c_WellTypeRT_OWTrts,axiom,
! [B_1_1,B_2_1,B_3_1,B_4_1,B_5] : is_bool(wTrts(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__Type__Oty_000tc__HOL__Obool,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_ty_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__Value__Oval_000tc__HOL__Obool,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_val_bool(B_1_1,B_2_1)) ).
fof(gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Option__Ooption,axiom,
! [B_1_1,B_2_1] : is_bool(hAPP_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__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__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_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__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J_J,axiom,
! [B_1_1,B_2_1] : is_bool(member_exp_list_char(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__List__Olist_Itc__String__Ochar_J,axiom,
! [B_1_1,B_2_1] : is_bool(member_list_char(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__Option__Ooption_Itc__Type__Oty_J,axiom,
! [B_1_1,B_2_1] : is_bool(member_option_ty(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__Type__Oty,axiom,
! [B_1_1,B_2_1] : is_bool(member_ty(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__Value__Oval,axiom,
! [B_1_1,B_2_1] : is_bool(member_val(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__prod_Itc__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__Value__Oval_Mtc__Value__Oval_J,axiom,
! [B_1_1,B_2_1] : is_bool(member649088532al_val(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__prod_Itc__prod_Itc__Expr__Obop_Mtc__prod_Itc__Value__Oval_Mt,axiom,
! [B_1_1,B_2_1] : is_bool(member1732271180al_val(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String_,axiom,
! [B_1_1,B_2_1] : is_bool(member773094996on_val(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_Itc__List__O,axiom,
! [B_1_1,B_2_1] : is_bool(member875476972on_val(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String,axiom,
! [B_1_1,B_2_1] : is_bool(member1999287380t_char(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String_003,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(member794220506t_char(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__String__Ochar_J_Mtc__fu,axiom,
! [B_1_1,B_2_1] : is_bool(member1322055188on_val(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Type__Oty_J_Mtc__prod_I,axiom,
! [B_1_1,B_2_1] : is_bool(member125098544t_char(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__prod_Itc__prod_Itc__List__Olist_Itc__Value__Oval_J_Mtc__Expr,axiom,
! [B_1_1,B_2_1] : is_bool(member1161907014t_char(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__prod_Itc__prod_Itc__Value__Oval_Mtc__Value__Oval_J_Mtc__prod,axiom,
! [B_1_1,B_2_1] : is_bool(member837208074al_val(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__prod_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_,axiom,
! [B_1_1,B_2_1] : is_bool(member563141460on_val(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__prod_Itc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_It,axiom,
! [B_1_1,B_2_1] : is_bool(member808015754on_val(B_1_1,B_2_1)) ).
fof(gsy_c_member_000tc__prod_Itc__prod_Itc__prod_Itc__List__Olist_Itc__Expr__Oexp_It,axiom,
! [B_1_1,B_2_1] : is_bool(member88670778on_val(B_1_1,B_2_1)) ).
%----Relevant facts (700)
fof(fact_0_widens__refl,axiom,
! [Pa,Xs] : hBOOL(list_all2_ty_ty(widen_2090681816t_char(Pa),Xs,Xs)) ).
fof(fact_1_widen__refl,axiom,
! [P_4,T_6] : hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(P_4),T_6),T_6)) ).
fof(fact_2_widens__trans,axiom,
! [Us,Pa,Ss,Tsa] :
( hBOOL(list_all2_ty_ty(widen_2090681816t_char(Pa),Ss,Tsa))
=> ( hBOOL(list_all2_ty_ty(widen_2090681816t_char(Pa),Tsa,Us))
=> hBOOL(list_all2_ty_ty(widen_2090681816t_char(Pa),Ss,Us)) ) ) ).
fof(fact_3_list__all2__lengthD,axiom,
! [Pa,Xs,Ys] :
( hBOOL(list_a1834344429ion_ty(Pa,Xs,Ys))
=> size_s2113983095t_char(Xs) = size_s1050794909ion_ty(Ys) ) ).
fof(fact_4_list__all2__lengthD,axiom,
! [Pa,Xs,Ys] :
( hBOOL(list_a1880637950ion_ty(Pa,Xs,Ys))
=> size_size_list_ty(Xs) = size_s1050794909ion_ty(Ys) ) ).
fof(fact_5_list__all2__lengthD,axiom,
! [Pa,Xs,Ys] :
( hBOOL(list_a1462908359ion_ty(Pa,Xs,Ys))
=> size_size_list_val(Xs) = size_s1050794909ion_ty(Ys) ) ).
fof(fact_6_list__all2__lengthD,axiom,
! [Pa,Xs,Ys] :
( hBOOL(list_a52822260ion_ty(Pa,Xs,Ys))
=> size_s1143674878t_char(Xs) = size_s1050794909ion_ty(Ys) ) ).
fof(fact_7_list__all2__lengthD,axiom,
! [Pa,Xs,Ys] :
( hBOOL(list_a839443437t_char(Pa,Xs,Ys))
=> size_s1050794909ion_ty(Xs) = size_s2113983095t_char(Ys) ) ).
fof(fact_8_list__all2__lengthD,axiom,
! [Pa,Xs,Ys] :
( hBOOL(list_a2039389316_ty_ty(Pa,Xs,Ys))
=> size_s1050794909ion_ty(Xs) = size_size_list_ty(Ys) ) ).
fof(fact_9_list__all2__lengthD,axiom,
! [Pa,Xs,Ys] :
( hBOOL(list_a1073113293ty_val(Pa,Xs,Ys))
=> size_s1050794909ion_ty(Xs) = size_size_list_val(Ys) ) ).
fof(fact_10_list__all2__lengthD,axiom,
! [Pa,Xs,Ys] :
( hBOOL(list_a283687028t_char(Pa,Xs,Ys))
=> size_s1050794909ion_ty(Xs) = size_s1143674878t_char(Ys) ) ).
fof(fact_11_list__all2__lengthD,axiom,
! [Pa,Xs,Ys] :
( hBOOL(list_all2_ty_ty(Pa,Xs,Ys))
=> size_size_list_ty(Xs) = size_size_list_ty(Ys) ) ).
fof(fact_12_list__all2__lengthD,axiom,
! [Pa,Xs,Ys] :
( hBOOL(list_all2_val_ty(Pa,Xs,Ys))
=> size_size_list_val(Xs) = size_size_list_ty(Ys) ) ).
fof(fact_13_length__map,axiom,
! [F_1,Xs] : size_s1010401542t_char(hAPP_l250787541t_char(map_Pr361633150t_char(F_1),Xs)) = size_s1010401542t_char(Xs) ).
fof(fact_14_length__map,axiom,
! [F_1,Xs] : size_s2086378294on_val(hAPP_l1208602837on_val(map_Pr1729094110on_val(F_1),Xs)) = size_s2086378294on_val(Xs) ).
fof(fact_15_length__map,axiom,
! [F_1,Xs] : size_s1699857438on_val(hAPP_l1695428693on_val(map_Pr1655409582on_val(F_1),Xs)) = size_s1699857438on_val(Xs) ).
fof(fact_16_length__map,axiom,
! [F_1,Xs] : size_s2113983095t_char(hAPP_l1368737135t_char(map_op1924521862t_char(F_1),Xs)) = size_s1050794909ion_ty(Xs) ).
fof(fact_17_length__map,axiom,
! [F_1,Xs] : size_size_list_ty(hAPP_l1583451544ist_ty(map_option_ty_ty(F_1),Xs)) = size_s1050794909ion_ty(Xs) ).
fof(fact_18_length__map,axiom,
! [F_1,Xs] : size_size_list_val(hAPP_l228474410st_val(map_option_val_val(F_1),Xs)) = size_s1595297126on_val(Xs) ).
fof(fact_19_length__map,axiom,
! [F_1,Xs] : size_size_list_val(hAPP_l336371937st_val(map_option_ty_val(F_1),Xs)) = size_s1050794909ion_ty(Xs) ).
fof(fact_20_length__map,axiom,
! [F_1,Xs] : size_s1143674878t_char(hAPP_l330149622t_char(map_op1779340173t_char(F_1),Xs)) = size_s1050794909ion_ty(Xs) ).
fof(fact_21_length__map,axiom,
! [F_1,Xs] : size_s1595297126on_val(hAPP_l297961988on_val(map_li50976719on_val(F_1),Xs)) = size_s2113983095t_char(Xs) ).
fof(fact_22_length__map,axiom,
! [F_1,Xs] : size_s2113983095t_char(hAPP_l407174677t_char(map_li1333403488t_char(F_1),Xs)) = size_s2113983095t_char(Xs) ).
fof(fact_23_length__map,axiom,
! [F_1,Xs] : size_s1050794909ion_ty(hAPP_l1491470139ion_ty(map_li771939206ion_ty(F_1),Xs)) = size_s2113983095t_char(Xs) ).
fof(fact_24_length__map,axiom,
! [F_1,Xs] : size_s1050794909ion_ty(hAPP_l1002225652ion_ty(map_ex1548475405ion_ty(F_1),Xs)) = size_s1143674878t_char(Xs) ).
fof(fact_25_length__map,axiom,
! [F_1,Xs] : size_s1050794909ion_ty(hAPP_l2006940821ion_ty(map_val_option_ty(F_1),Xs)) = size_size_list_val(Xs) ).
fof(fact_26_length__map,axiom,
! [F_1,Xs] : size_s1050794909ion_ty(hAPP_l1487035934ion_ty(map_ty_option_ty(F_1),Xs)) = size_size_list_ty(Xs) ).
fof(fact_27_length__map,axiom,
! [F_1,Xs] : size_s1143674878t_char(hAPP_l732421366t_char(map_va1934808527t_char(F_1),Xs)) = size_size_list_val(Xs) ).
fof(fact_28_length__map,axiom,
! [F_1,Xs] : size_size_list_val(hAPP_l1892737211st_val(map_list_char_val(F_1),Xs)) = size_s2113983095t_char(Xs) ).
fof(fact_29_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1416713636t_char(map_li239070063t_char(F_1),Xs) = hAPP_l250787541t_char(map_Pr361633150t_char(G),Ys)
=> size_s2113983095t_char(Xs) = size_s1010401542t_char(Ys) ) ).
fof(fact_30_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l2122855380on_val(map_li1925379487on_val(F_1),Xs) = hAPP_l1208602837on_val(map_Pr1729094110on_val(G),Ys)
=> size_s2113983095t_char(Xs) = size_s2086378294on_val(Ys) ) ).
fof(fact_31_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l418486716on_val(map_li1100402823on_val(F_1),Xs) = hAPP_l1695428693on_val(map_Pr1655409582on_val(G),Ys)
=> size_s2113983095t_char(Xs) = size_s1699857438on_val(Ys) ) ).
fof(fact_32_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1530663448st_val(map_ty_val(F_1),Xs) = hAPP_l228474410st_val(map_option_val_val(G),Ys)
=> size_size_list_ty(Xs) = size_s1595297126on_val(Ys) ) ).
fof(fact_33_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1014734695on_val(map_ty_option_val(F_1),Xs) = hAPP_l297961988on_val(map_li50976719on_val(G),Ys)
=> size_size_list_ty(Xs) = size_s2113983095t_char(Ys) ) ).
fof(fact_34_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l402740472t_char(map_ty_list_char(F_1),Xs) = hAPP_l407174677t_char(map_li1333403488t_char(G),Ys)
=> size_size_list_ty(Xs) = size_s2113983095t_char(Ys) ) ).
fof(fact_35_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1218266887t_char(map_ty1751634702t_char(F_1),Xs) = hAPP_l250787541t_char(map_Pr361633150t_char(G),Ys)
=> size_size_list_ty(Xs) = size_s1010401542t_char(Ys) ) ).
fof(fact_36_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l2092195639on_val(map_ty1597677374on_val(F_1),Xs) = hAPP_l1208602837on_val(map_Pr1729094110on_val(G),Ys)
=> size_size_list_ty(Xs) = size_s2086378294on_val(Ys) ) ).
fof(fact_37_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1634001311on_val(map_ty891785382on_val(F_1),Xs) = hAPP_l1695428693on_val(map_Pr1655409582on_val(G),Ys)
=> size_size_list_ty(Xs) = size_s1699857438on_val(Ys) ) ).
fof(fact_38_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l273806049st_val(map_val_val(F_1),Xs) = hAPP_l228474410st_val(map_option_val_val(G),Ys)
=> size_size_list_val(Xs) = size_s1595297126on_val(Ys) ) ).
fof(fact_39_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l761459294on_val(map_val_option_val(F_1),Xs) = hAPP_l297961988on_val(map_li50976719on_val(G),Ys)
=> size_size_list_val(Xs) = size_s2113983095t_char(Ys) ) ).
fof(fact_40_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l922645359t_char(map_val_list_char(F_1),Xs) = hAPP_l407174677t_char(map_li1333403488t_char(G),Ys)
=> size_size_list_val(Xs) = size_s2113983095t_char(Ys) ) ).
fof(fact_41_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1687586302t_char(map_va234578647t_char(F_1),Xs) = hAPP_l250787541t_char(map_Pr361633150t_char(G),Ys)
=> size_size_list_val(Xs) = size_s1010401542t_char(Ys) ) ).
fof(fact_42_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1134997550on_val(map_va787979527on_val(F_1),Xs) = hAPP_l1208602837on_val(map_Pr1729094110on_val(G),Ys)
=> size_size_list_val(Xs) = size_s2086378294on_val(Ys) ) ).
fof(fact_43_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l382831894on_val(map_va527586287on_val(F_1),Xs) = hAPP_l1695428693on_val(map_Pr1655409582on_val(G),Ys)
=> size_size_list_val(Xs) = size_s1699857438on_val(Ys) ) ).
fof(fact_44_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1539861698st_val(map_ex740158547ar_val(F_1),Xs) = hAPP_l228474410st_val(map_option_val_val(G),Ys)
=> size_s1143674878t_char(Xs) = size_s1595297126on_val(Ys) ) ).
fof(fact_45_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1607890493on_val(map_ex1598883030on_val(F_1),Xs) = hAPP_l297961988on_val(map_li50976719on_val(G),Ys)
=> size_s1143674878t_char(Xs) = size_s2113983095t_char(Ys) ) ).
fof(fact_46_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l2065413838t_char(map_ex2109939687t_char(F_1),Xs) = hAPP_l407174677t_char(map_li1333403488t_char(G),Ys)
=> size_s1143674878t_char(Xs) = size_s2113983095t_char(Ys) ) ).
fof(fact_47_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1379210717t_char(map_ex230966390t_char(F_1),Xs) = hAPP_l250787541t_char(map_Pr361633150t_char(G),Ys)
=> size_s1143674878t_char(Xs) = size_s1010401542t_char(Ys) ) ).
fof(fact_48_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1585742349on_val(map_ex2031894694on_val(F_1),Xs) = hAPP_l1208602837on_val(map_Pr1729094110on_val(G),Ys)
=> size_s1143674878t_char(Xs) = size_s2086378294on_val(Ys) ) ).
fof(fact_49_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1557845365on_val(map_ex840371726on_val(F_1),Xs) = hAPP_l1695428693on_val(map_Pr1655409582on_val(G),Ys)
=> size_s1143674878t_char(Xs) = size_s1699857438on_val(Ys) ) ).
fof(fact_50_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l297961988on_val(map_li50976719on_val(F_1),Xs) = hAPP_l297961988on_val(map_li50976719on_val(G),Ys)
=> size_s2113983095t_char(Xs) = size_s2113983095t_char(Ys) ) ).
fof(fact_51_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l407174677t_char(map_li1333403488t_char(F_1),Xs) = hAPP_l407174677t_char(map_li1333403488t_char(G),Ys)
=> size_s2113983095t_char(Xs) = size_s2113983095t_char(Ys) ) ).
fof(fact_52_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l250787541t_char(map_Pr361633150t_char(F_1),Xs) = hAPP_l1416713636t_char(map_li239070063t_char(G),Ys)
=> size_s1010401542t_char(Xs) = size_s2113983095t_char(Ys) ) ).
fof(fact_53_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1208602837on_val(map_Pr1729094110on_val(F_1),Xs) = hAPP_l2122855380on_val(map_li1925379487on_val(G),Ys)
=> size_s2086378294on_val(Xs) = size_s2113983095t_char(Ys) ) ).
fof(fact_54_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1695428693on_val(map_Pr1655409582on_val(F_1),Xs) = hAPP_l418486716on_val(map_li1100402823on_val(G),Ys)
=> size_s1699857438on_val(Xs) = size_s2113983095t_char(Ys) ) ).
fof(fact_55_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l228474410st_val(map_option_val_val(F_1),Xs) = hAPP_l1530663448st_val(map_ty_val(G),Ys)
=> size_s1595297126on_val(Xs) = size_size_list_ty(Ys) ) ).
fof(fact_56_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l297961988on_val(map_li50976719on_val(F_1),Xs) = hAPP_l1014734695on_val(map_ty_option_val(G),Ys)
=> size_s2113983095t_char(Xs) = size_size_list_ty(Ys) ) ).
fof(fact_57_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l407174677t_char(map_li1333403488t_char(F_1),Xs) = hAPP_l402740472t_char(map_ty_list_char(G),Ys)
=> size_s2113983095t_char(Xs) = size_size_list_ty(Ys) ) ).
fof(fact_58_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l250787541t_char(map_Pr361633150t_char(F_1),Xs) = hAPP_l1218266887t_char(map_ty1751634702t_char(G),Ys)
=> size_s1010401542t_char(Xs) = size_size_list_ty(Ys) ) ).
fof(fact_59_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1208602837on_val(map_Pr1729094110on_val(F_1),Xs) = hAPP_l2092195639on_val(map_ty1597677374on_val(G),Ys)
=> size_s2086378294on_val(Xs) = size_size_list_ty(Ys) ) ).
fof(fact_60_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1695428693on_val(map_Pr1655409582on_val(F_1),Xs) = hAPP_l1634001311on_val(map_ty891785382on_val(G),Ys)
=> size_s1699857438on_val(Xs) = size_size_list_ty(Ys) ) ).
fof(fact_61_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l228474410st_val(map_option_val_val(F_1),Xs) = hAPP_l273806049st_val(map_val_val(G),Ys)
=> size_s1595297126on_val(Xs) = size_size_list_val(Ys) ) ).
fof(fact_62_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l297961988on_val(map_li50976719on_val(F_1),Xs) = hAPP_l761459294on_val(map_val_option_val(G),Ys)
=> size_s2113983095t_char(Xs) = size_size_list_val(Ys) ) ).
fof(fact_63_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l407174677t_char(map_li1333403488t_char(F_1),Xs) = hAPP_l922645359t_char(map_val_list_char(G),Ys)
=> size_s2113983095t_char(Xs) = size_size_list_val(Ys) ) ).
fof(fact_64_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l250787541t_char(map_Pr361633150t_char(F_1),Xs) = hAPP_l1687586302t_char(map_va234578647t_char(G),Ys)
=> size_s1010401542t_char(Xs) = size_size_list_val(Ys) ) ).
fof(fact_65_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1208602837on_val(map_Pr1729094110on_val(F_1),Xs) = hAPP_l1134997550on_val(map_va787979527on_val(G),Ys)
=> size_s2086378294on_val(Xs) = size_size_list_val(Ys) ) ).
fof(fact_66_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1695428693on_val(map_Pr1655409582on_val(F_1),Xs) = hAPP_l382831894on_val(map_va527586287on_val(G),Ys)
=> size_s1699857438on_val(Xs) = size_size_list_val(Ys) ) ).
fof(fact_67_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l228474410st_val(map_option_val_val(F_1),Xs) = hAPP_l1539861698st_val(map_ex740158547ar_val(G),Ys)
=> size_s1595297126on_val(Xs) = size_s1143674878t_char(Ys) ) ).
fof(fact_68_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l297961988on_val(map_li50976719on_val(F_1),Xs) = hAPP_l1607890493on_val(map_ex1598883030on_val(G),Ys)
=> size_s2113983095t_char(Xs) = size_s1143674878t_char(Ys) ) ).
fof(fact_69_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l407174677t_char(map_li1333403488t_char(F_1),Xs) = hAPP_l2065413838t_char(map_ex2109939687t_char(G),Ys)
=> size_s2113983095t_char(Xs) = size_s1143674878t_char(Ys) ) ).
fof(fact_70_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l250787541t_char(map_Pr361633150t_char(F_1),Xs) = hAPP_l1379210717t_char(map_ex230966390t_char(G),Ys)
=> size_s1010401542t_char(Xs) = size_s1143674878t_char(Ys) ) ).
fof(fact_71_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1208602837on_val(map_Pr1729094110on_val(F_1),Xs) = hAPP_l1585742349on_val(map_ex2031894694on_val(G),Ys)
=> size_s2086378294on_val(Xs) = size_s1143674878t_char(Ys) ) ).
fof(fact_72_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1695428693on_val(map_Pr1655409582on_val(F_1),Xs) = hAPP_l1557845365on_val(map_ex840371726on_val(G),Ys)
=> size_s1699857438on_val(Xs) = size_s1143674878t_char(Ys) ) ).
fof(fact_73_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l2006940821ion_ty(map_val_option_ty(F_1),Xs) = hAPP_l305548949ion_ty(map_op1363057580ion_ty(G),Ys)
=> size_size_list_val(Xs) = size_s1050794909ion_ty(Ys) ) ).
fof(fact_74_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1487035934ion_ty(map_ty_option_ty(F_1),Xs) = hAPP_l305548949ion_ty(map_op1363057580ion_ty(G),Ys)
=> size_size_list_ty(Xs) = size_s1050794909ion_ty(Ys) ) ).
fof(fact_75_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l732421366t_char(map_va1934808527t_char(F_1),Xs) = hAPP_l330149622t_char(map_op1779340173t_char(G),Ys)
=> size_size_list_val(Xs) = size_s1050794909ion_ty(Ys) ) ).
fof(fact_76_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1892737211st_val(map_list_char_val(F_1),Xs) = hAPP_l228474410st_val(map_option_val_val(G),Ys)
=> size_s2113983095t_char(Xs) = size_s1595297126on_val(Ys) ) ).
fof(fact_77_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l1892737211st_val(map_list_char_val(F_1),Xs) = hAPP_l336371937st_val(map_option_ty_val(G),Ys)
=> size_s2113983095t_char(Xs) = size_s1050794909ion_ty(Ys) ) ).
fof(fact_78_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l305548949ion_ty(map_op1363057580ion_ty(F_1),Xs) = hAPP_l2006940821ion_ty(map_val_option_ty(G),Ys)
=> size_s1050794909ion_ty(Xs) = size_size_list_val(Ys) ) ).
fof(fact_79_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l305548949ion_ty(map_op1363057580ion_ty(F_1),Xs) = hAPP_l1487035934ion_ty(map_ty_option_ty(G),Ys)
=> size_s1050794909ion_ty(Xs) = size_size_list_ty(Ys) ) ).
fof(fact_80_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l330149622t_char(map_op1779340173t_char(F_1),Xs) = hAPP_l732421366t_char(map_va1934808527t_char(G),Ys)
=> size_s1050794909ion_ty(Xs) = size_size_list_val(Ys) ) ).
fof(fact_81_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l228474410st_val(map_option_val_val(F_1),Xs) = hAPP_l1892737211st_val(map_list_char_val(G),Ys)
=> size_s1595297126on_val(Xs) = size_s2113983095t_char(Ys) ) ).
fof(fact_82_map__eq__imp__length__eq,axiom,
! [F_1,Xs,G,Ys] :
( hAPP_l336371937st_val(map_option_ty_val(F_1),Xs) = hAPP_l1892737211st_val(map_list_char_val(G),Ys)
=> size_s1050794909ion_ty(Xs) = size_s2113983095t_char(Ys) ) ).
fof(fact_83_prod__induct5,axiom,
! [X_1,Pa] :
( ! [A_1,B_1,C_4,D_1,E_4] : hBOOL(hAPP_P824029447r_bool(Pa,hAPP_P1539798428t_char(produc24551831t_char(A_1),hAPP_P767818445t_char(produc921874948t_char(B_1),hAPP_P1392904962t_char(produc1909267824t_char(C_4),hAPP_e1752110927t_char(produc1916172923t_char(D_1),E_4))))))
=> hBOOL(hAPP_P824029447r_bool(Pa,X_1)) ) ).
fof(fact_84_prod__induct5,axiom,
! [X_1,Pa] :
( ! [A_1,B_1,C_4,D_1,E_4] : hBOOL(hAPP_P2028072621l_bool(Pa,hAPP_P1758592847on_val(produc1951691075on_val(A_1),hAPP_P658340954on_val(produc1611380469on_val(B_1),hAPP_P1963616220on_val(produc379668296on_val(C_4),hAPP_f1727192346on_val(produc899768717on_val(D_1),E_4))))))
=> hBOOL(hAPP_P2028072621l_bool(Pa,X_1)) ) ).
fof(fact_85_prod__induct5,axiom,
! [X_1,Pa] :
( ! [A_1,B_1,C_4,D_1,E_4] : hBOOL(hAPP_P378063101l_bool(Pa,hAPP_P1486793863on_val(produc1564932627on_val(A_1),hAPP_P1886180715on_val(produc1441475159on_val(B_1),hAPP_P604205461on_val(produc1259058957on_val(C_4),hAPP_f1727192346on_val(produc899768717on_val(D_1),E_4))))))
=> hBOOL(hAPP_P378063101l_bool(Pa,X_1)) ) ).
fof(fact_86_prod__cases5,axiom,
! [Y_6] :
~ ! [A_1,B_1,C_4,D_1,E_4] : Y_6 != hAPP_P1539798428t_char(produc24551831t_char(A_1),hAPP_P767818445t_char(produc921874948t_char(B_1),hAPP_P1392904962t_char(produc1909267824t_char(C_4),hAPP_e1752110927t_char(produc1916172923t_char(D_1),E_4)))) ).
fof(fact_87_prod__cases5,axiom,
! [Y_3] :
~ ! [A_1,B_1,C_4,D_1,E_4] : Y_3 != hAPP_P1758592847on_val(produc1951691075on_val(A_1),hAPP_P658340954on_val(produc1611380469on_val(B_1),hAPP_P1963616220on_val(produc379668296on_val(C_4),hAPP_f1727192346on_val(produc899768717on_val(D_1),E_4)))) ).
fof(fact_88_prod__cases5,axiom,
! [Y_3] :
~ ! [A_1,B_1,C_4,D_1,E_4] : Y_3 != hAPP_P1486793863on_val(produc1564932627on_val(A_1),hAPP_P1886180715on_val(produc1441475159on_val(B_1),hAPP_P604205461on_val(produc1259058957on_val(C_4),hAPP_f1727192346on_val(produc899768717on_val(D_1),E_4)))) ).
fof(fact_89_prod__induct4,axiom,
! [X_1,Pa] :
( ! [A_1,B_1,C_4,D_1] : hBOOL(hAPP_P92196306r_bool(Pa,hAPP_P767818445t_char(produc921874948t_char(A_1),hAPP_P1392904962t_char(produc1909267824t_char(B_1),hAPP_e1752110927t_char(produc1916172923t_char(C_4),D_1)))))
=> hBOOL(hAPP_P92196306r_bool(Pa,X_1)) ) ).
fof(fact_90_prod__induct4,axiom,
! [X_1,Pa] :
( ! [A_1,B_1,C_4,D_1] : hBOOL(hAPP_P282169671l_bool(Pa,hAPP_P1886180715on_val(produc1441475159on_val(A_1),hAPP_P604205461on_val(produc1259058957on_val(B_1),hAPP_f1727192346on_val(produc899768717on_val(C_4),D_1)))))
=> hBOOL(hAPP_P282169671l_bool(Pa,X_1)) ) ).
fof(fact_91_prod__induct4,axiom,
! [X_1,Pa] :
( ! [A_1,B_1,C_4,D_1] : hBOOL(hAPP_P1333315679l_bool(Pa,hAPP_P658340954on_val(produc1611380469on_val(A_1),hAPP_P1963616220on_val(produc379668296on_val(B_1),hAPP_f1727192346on_val(produc899768717on_val(C_4),D_1)))))
=> hBOOL(hAPP_P1333315679l_bool(Pa,X_1)) ) ).
fof(fact_92_prod__induct4,axiom,
! [X_1,Pa] :
( ! [A_1,B_1,C_4,D_1] : hBOOL(hAPP_P824029447r_bool(Pa,hAPP_P1539798428t_char(produc24551831t_char(A_1),hAPP_P767818445t_char(produc921874948t_char(B_1),hAPP_P1392904962t_char(produc1909267824t_char(C_4),D_1)))))
=> hBOOL(hAPP_P824029447r_bool(Pa,X_1)) ) ).
fof(fact_93_prod__induct4,axiom,
! [X_1,Pa] :
( ! [A_1,B_1,C_4,D_1] : hBOOL(hAPP_P1240100515r_bool(Pa,hAPP_P1333668416t_char(produc57279289t_char(A_1),hAPP_P1392904962t_char(produc1909267824t_char(B_1),hAPP_e1752110927t_char(produc1916172923t_char(C_4),D_1)))))
=> hBOOL(hAPP_P1240100515r_bool(Pa,X_1)) ) ).
fof(fact_94_prod__induct4,axiom,
! [X_1,Pa] :
( ! [A_1,B_1,C_4,D_1] : hBOOL(hAPP_P378063101l_bool(Pa,hAPP_P1486793863on_val(produc1564932627on_val(A_1),hAPP_P1886180715on_val(produc1441475159on_val(B_1),hAPP_P604205461on_val(produc1259058957on_val(C_4),D_1)))))
=> hBOOL(hAPP_P378063101l_bool(Pa,X_1)) ) ).
fof(fact_95_prod__induct4,axiom,
! [X_1,Pa] :
( ! [A_1,B_1,C_4,D_1] : hBOOL(hAPP_P2028072621l_bool(Pa,hAPP_P1758592847on_val(produc1951691075on_val(A_1),hAPP_P658340954on_val(produc1611380469on_val(B_1),hAPP_P1963616220on_val(produc379668296on_val(C_4),D_1)))))
=> hBOOL(hAPP_P2028072621l_bool(Pa,X_1)) ) ).
fof(fact_96_prod__induct4,axiom,
! [X_1,Pa] :
( ! [A_1,B_1,C_4,D_1] :
( is_bop(B_1)
=> hBOOL(hAPP_P738987199l_bool(Pa,hAPP_P2123720426al_val(produc1924279125al_val(A_1),hAPP_P929466802al_val(produc621191550al_val(B_1),hAPP_v852496844al_val(product_Pair_val_val(C_4),D_1))))) )
=> hBOOL(hAPP_P738987199l_bool(Pa,X_1)) ) ).
fof(fact_97_prod__cases4,axiom,
! [Y_5] :
~ ! [A_1,B_1,C_4,D_1] : Y_5 != hAPP_P767818445t_char(produc921874948t_char(A_1),hAPP_P1392904962t_char(produc1909267824t_char(B_1),hAPP_e1752110927t_char(produc1916172923t_char(C_4),D_1))) ).
fof(fact_98_prod__cases4,axiom,
! [Y_3] :
~ ! [A_1,B_1,C_4,D_1] : Y_3 != hAPP_P1886180715on_val(produc1441475159on_val(A_1),hAPP_P604205461on_val(produc1259058957on_val(B_1),hAPP_f1727192346on_val(produc899768717on_val(C_4),D_1))) ).
fof(fact_99_prod__cases4,axiom,
! [Y_3] :
~ ! [A_1,B_1,C_4,D_1] : Y_3 != hAPP_P658340954on_val(produc1611380469on_val(A_1),hAPP_P1963616220on_val(produc379668296on_val(B_1),hAPP_f1727192346on_val(produc899768717on_val(C_4),D_1))) ).
fof(fact_100_prod__cases4,axiom,
! [Y_5] :
~ ! [A_1,B_1,C_4,D_1] : Y_5 != hAPP_P1539798428t_char(produc24551831t_char(A_1),hAPP_P767818445t_char(produc921874948t_char(B_1),hAPP_P1392904962t_char(produc1909267824t_char(C_4),D_1))) ).
fof(fact_101_prod__cases4,axiom,
! [Y_5] :
~ ! [A_1,B_1,C_4,D_1] : Y_5 != hAPP_P1333668416t_char(produc57279289t_char(A_1),hAPP_P1392904962t_char(produc1909267824t_char(B_1),hAPP_e1752110927t_char(produc1916172923t_char(C_4),D_1))) ).
fof(fact_102_prod__cases4,axiom,
! [Y_3] :
~ ! [A_1,B_1,C_4,D_1] : Y_3 != hAPP_P1486793863on_val(produc1564932627on_val(A_1),hAPP_P1886180715on_val(produc1441475159on_val(B_1),hAPP_P604205461on_val(produc1259058957on_val(C_4),D_1))) ).
fof(fact_103_prod__cases4,axiom,
! [Y_3] :
~ ! [A_1,B_1,C_4,D_1] : Y_3 != hAPP_P1758592847on_val(produc1951691075on_val(A_1),hAPP_P658340954on_val(produc1611380469on_val(B_1),hAPP_P1963616220on_val(produc379668296on_val(C_4),D_1))) ).
fof(fact_104_prod__cases4,axiom,
! [Y_5] :
~ ! [A_1,B_1,C_4,D_1] :
( is_bop(B_1)
=> Y_5 != hAPP_P2123720426al_val(produc1924279125al_val(A_1),hAPP_P929466802al_val(produc621191550al_val(B_1),hAPP_v852496844al_val(product_Pair_val_val(C_4),D_1))) ) ).
fof(fact_105_Pair__inject,axiom,
! [A_5,B_4,A_4,B_3] :
( hAPP_P1342907945t_char(produc1897818327t_char(A_5),B_4) = hAPP_P1342907945t_char(produc1897818327t_char(A_4),B_3)
=> ~ ( A_5 = A_4
=> B_4 != B_3 ) ) ).
fof(fact_106_Pair__inject,axiom,
! [A_5,B_4,A_4,B_3] :
( hAPP_P1657265855t_char(produc2080520419t_char(A_5),B_4) = hAPP_P1657265855t_char(produc2080520419t_char(A_4),B_3)
=> ~ ( A_5 = A_4
=> B_4 != B_3 ) ) ).
fof(fact_107_Pair__inject,axiom,
! [A_5,B_4,A_4,B_3] :
( hAPP_P47773639al_val(produc1244920211al_val(A_5),B_4) = hAPP_P47773639al_val(produc1244920211al_val(A_4),B_3)
=> ~ ( A_5 = A_4
=> B_4 != B_3 ) ) ).
fof(fact_108_Pair__inject,axiom,
! [A_5,B_4,A_4,B_3] :
( hAPP_P2123720426al_val(produc1924279125al_val(A_5),B_4) = hAPP_P2123720426al_val(produc1924279125al_val(A_4),B_3)
=> ~ ( A_5 = A_4
=> B_4 != B_3 ) ) ).
fof(fact_109_Pair__inject,axiom,
! [A,B,A_3,B_2] :
( hAPP_P1758592847on_val(produc1951691075on_val(A),B) = hAPP_P1758592847on_val(produc1951691075on_val(A_3),B_2)
=> ~ ( A = A_3
=> B != B_2 ) ) ).
fof(fact_110_Pair__inject,axiom,
! [A,B,A_3,B_2] :
( hAPP_P330218428on_val(produc499151895on_val(A),B) = hAPP_P330218428on_val(produc499151895on_val(A_3),B_2)
=> ~ ( A = A_3
=> B != B_2 ) ) ).
fof(fact_111_Pair__inject,axiom,
! [A,B,A_3,B_2] :
( hAPP_P1486793863on_val(produc1564932627on_val(A),B) = hAPP_P1486793863on_val(produc1564932627on_val(A_3),B_2)
=> ~ ( A = A_3
=> B != B_2 ) ) ).
fof(fact_112_Pair__inject,axiom,
! [A,B,A_3,B_2] :
( hAPP_P291613419on_val(produc870913623on_val(A),B) = hAPP_P291613419on_val(produc870913623on_val(A_3),B_2)
=> ~ ( A = A_3
=> B != B_2 ) ) ).
fof(fact_113_Pair__inject,axiom,
! [A_5,B_4,A_4,B_3] :
( hAPP_P1220989409t_char(produc1299387215t_char(A_5),B_4) = hAPP_P1220989409t_char(produc1299387215t_char(A_4),B_3)
=> ~ ( A_5 = A_4
=> B_4 != B_3 ) ) ).
fof(fact_114_Pair__inject,axiom,
! [A_5,B_4,A_4,B_3] :
( hAPP_P1333668416t_char(produc57279289t_char(A_5),B_4) = hAPP_P1333668416t_char(produc57279289t_char(A_4),B_3)
=> ~ ( A_5 = A_4
=> B_4 != B_3 ) ) ).
fof(fact_115_Pair__inject,axiom,
! [A_5,B_4,A_4,B_3] :
( hAPP_P1539798428t_char(produc24551831t_char(A_5),B_4) = hAPP_P1539798428t_char(produc24551831t_char(A_4),B_3)
=> ~ ( A_5 = A_4
=> B_4 != B_3 ) ) ).
fof(fact_116_Pair__inject,axiom,
! [A_5,B_4,A_4,B_3] :
( hAPP_P767818445t_char(produc921874948t_char(A_5),B_4) = hAPP_P767818445t_char(produc921874948t_char(A_4),B_3)
=> ~ ( A_5 = A_4
=> B_4 != B_3 ) ) ).
fof(fact_117_Pair__inject,axiom,
! [A_5,B_4,A_4,B_3] :
( hAPP_P1392904962t_char(produc1909267824t_char(A_5),B_4) = hAPP_P1392904962t_char(produc1909267824t_char(A_4),B_3)
=> ~ ( A_5 = A_4
=> B_4 != B_3 ) ) ).
fof(fact_118_Pair__inject,axiom,
! [A_5,B_4,A_4,B_3] :
( hAPP_e1752110927t_char(produc1916172923t_char(A_5),B_4) = hAPP_e1752110927t_char(produc1916172923t_char(A_4),B_3)
=> ~ ( A_5 = A_4
=> B_4 != B_3 ) ) ).
fof(fact_119_Pair__inject,axiom,
! [A,B,A_3,B_2] :
( hAPP_f1727192346on_val(produc899768717on_val(A),B) = hAPP_f1727192346on_val(produc899768717on_val(A_3),B_2)
=> ~ ( A = A_3
=> B != B_2 ) ) ).
fof(fact_120_Pair__inject,axiom,
! [A,B,A_3,B_2] :
( hAPP_P1886180715on_val(produc1441475159on_val(A),B) = hAPP_P1886180715on_val(produc1441475159on_val(A_3),B_2)
=> ~ ( A = A_3
=> B != B_2 ) ) ).
fof(fact_121_Pair__inject,axiom,
! [A,B,A_3,B_2] :
( hAPP_P604205461on_val(produc1259058957on_val(A),B) = hAPP_P604205461on_val(produc1259058957on_val(A_3),B_2)
=> ~ ( A = A_3
=> B != B_2 ) ) ).
fof(fact_122_Pair__inject,axiom,
! [A,B,A_3,B_2] :
( hAPP_f900686428on_val(produc823076510on_val(A),B) = hAPP_f900686428on_val(produc823076510on_val(A_3),B_2)
=> ~ ( A = A_3
=> B != B_2 ) ) ).
fof(fact_123_Pair__inject,axiom,
! [A,B,A_3,B_2] :
( hAPP_P658340954on_val(produc1611380469on_val(A),B) = hAPP_P658340954on_val(produc1611380469on_val(A_3),B_2)
=> ~ ( A = A_3
=> B != B_2 ) ) ).
fof(fact_124_Pair__inject,axiom,
! [A,B,A_3,B_2] :
( hAPP_P1963616220on_val(produc379668296on_val(A),B) = hAPP_P1963616220on_val(produc379668296on_val(A_3),B_2)
=> ~ ( A = A_3
=> B != B_2 ) ) ).
fof(fact_125_Pair__inject,axiom,
! [A_5,B_4,A_4,B_3] :
( ( is_bop(A_5)
& is_bop(A_4) )
=> ( hAPP_P929466802al_val(produc621191550al_val(A_5),B_4) = hAPP_P929466802al_val(produc621191550al_val(A_4),B_3)
=> ~ ( A_5 = A_4
=> B_4 != B_3 ) ) ) ).
fof(fact_126_Pair__inject,axiom,
! [A_5,B_4,A_4,B_3] :
( hAPP_v852496844al_val(product_Pair_val_val(A_5),B_4) = hAPP_v852496844al_val(product_Pair_val_val(A_4),B_3)
=> ~ ( A_5 = A_4
=> B_4 != B_3 ) ) ).
fof(fact_127_Pair__inject,axiom,
! [A_5,B_4,A_4,B_3] :
( hAPP_l2100324114t_char(produc5062597t_char(A_5),B_4) = hAPP_l2100324114t_char(produc5062597t_char(A_4),B_3)
=> ~ ( A_5 = A_4
=> B_4 != B_3 ) ) ).
fof(fact_128_Pair__inject,axiom,
! [A_5,B_4,A_4,B_3] :
( hAPP_e952791821t_char(produc1147572817t_char(A_5),B_4) = hAPP_e952791821t_char(produc1147572817t_char(A_4),B_3)
=> ~ ( A_5 = A_4
=> B_4 != B_3 ) ) ).
fof(fact_129_Pair__eq,axiom,
! [A,B,A_3,B_2] :
( hAPP_P1342907945t_char(produc1897818327t_char(A),B) = hAPP_P1342907945t_char(produc1897818327t_char(A_3),B_2)
<=> ( A = A_3
& B = B_2 ) ) ).
fof(fact_130_Pair__eq,axiom,
! [A,B,A_3,B_2] :
( hAPP_P1657265855t_char(produc2080520419t_char(A),B) = hAPP_P1657265855t_char(produc2080520419t_char(A_3),B_2)
<=> ( A = A_3
& B = B_2 ) ) ).
fof(fact_131_Pair__eq,axiom,
! [A,B,A_3,B_2] :
( hAPP_P47773639al_val(produc1244920211al_val(A),B) = hAPP_P47773639al_val(produc1244920211al_val(A_3),B_2)
<=> ( A = A_3
& B = B_2 ) ) ).
fof(fact_132_Pair__eq,axiom,
! [A,B,A_3,B_2] :
( hAPP_P2123720426al_val(produc1924279125al_val(A),B) = hAPP_P2123720426al_val(produc1924279125al_val(A_3),B_2)
<=> ( A = A_3
& B = B_2 ) ) ).
fof(fact_133_Pair__eq,axiom,
! [A,B,A_3,B_2] :
( hAPP_P1758592847on_val(produc1951691075on_val(A),B) = hAPP_P1758592847on_val(produc1951691075on_val(A_3),B_2)
<=> ( A = A_3
& B = B_2 ) ) ).
fof(fact_134_Pair__eq,axiom,
! [A,B,A_3,B_2] :
( hAPP_P330218428on_val(produc499151895on_val(A),B) = hAPP_P330218428on_val(produc499151895on_val(A_3),B_2)
<=> ( A = A_3
& B = B_2 ) ) ).
fof(fact_135_Pair__eq,axiom,
! [A,B,A_3,B_2] :
( hAPP_P1486793863on_val(produc1564932627on_val(A),B) = hAPP_P1486793863on_val(produc1564932627on_val(A_3),B_2)
<=> ( A = A_3
& B = B_2 ) ) ).
fof(fact_136_Pair__eq,axiom,
! [A,B,A_3,B_2] :
( hAPP_P291613419on_val(produc870913623on_val(A),B) = hAPP_P291613419on_val(produc870913623on_val(A_3),B_2)
<=> ( A = A_3
& B = B_2 ) ) ).
fof(fact_137_Pair__eq,axiom,
! [A,B,A_3,B_2] :
( hAPP_P1220989409t_char(produc1299387215t_char(A),B) = hAPP_P1220989409t_char(produc1299387215t_char(A_3),B_2)
<=> ( A = A_3
& B = B_2 ) ) ).
fof(fact_138_Pair__eq,axiom,
! [A,B,A_3,B_2] :
( hAPP_P1333668416t_char(produc57279289t_char(A),B) = hAPP_P1333668416t_char(produc57279289t_char(A_3),B_2)
<=> ( A = A_3
& B = B_2 ) ) ).
fof(fact_139_Pair__eq,axiom,
! [A,B,A_3,B_2] :
( hAPP_P1539798428t_char(produc24551831t_char(A),B) = hAPP_P1539798428t_char(produc24551831t_char(A_3),B_2)
<=> ( A = A_3
& B = B_2 ) ) ).
fof(fact_140_Pair__eq,axiom,
! [A,B,A_3,B_2] :
( hAPP_P767818445t_char(produc921874948t_char(A),B) = hAPP_P767818445t_char(produc921874948t_char(A_3),B_2)
<=> ( A = A_3
& B = B_2 ) ) ).
fof(fact_141_Pair__eq,axiom,
! [A,B,A_3,B_2] :
( hAPP_P1392904962t_char(produc1909267824t_char(A),B) = hAPP_P1392904962t_char(produc1909267824t_char(A_3),B_2)
<=> ( A = A_3
& B = B_2 ) ) ).
fof(fact_142_Pair__eq,axiom,
! [A,B,A_3,B_2] :
( hAPP_e1752110927t_char(produc1916172923t_char(A),B) = hAPP_e1752110927t_char(produc1916172923t_char(A_3),B_2)
<=> ( A = A_3
& B = B_2 ) ) ).
fof(fact_143_Pair__eq,axiom,
! [A,B,A_3,B_2] :
( hAPP_f1727192346on_val(produc899768717on_val(A),B) = hAPP_f1727192346on_val(produc899768717on_val(A_3),B_2)
<=> ( A = A_3
& B = B_2 ) ) ).
fof(fact_144_Pair__eq,axiom,
! [A,B,A_3,B_2] :
( hAPP_P1886180715on_val(produc1441475159on_val(A),B) = hAPP_P1886180715on_val(produc1441475159on_val(A_3),B_2)
<=> ( A = A_3
& B = B_2 ) ) ).
fof(fact_145_Pair__eq,axiom,
! [A,B,A_3,B_2] :
( hAPP_P604205461on_val(produc1259058957on_val(A),B) = hAPP_P604205461on_val(produc1259058957on_val(A_3),B_2)
<=> ( A = A_3
& B = B_2 ) ) ).
fof(fact_146_Pair__eq,axiom,
! [A,B,A_3,B_2] :
( hAPP_f900686428on_val(produc823076510on_val(A),B) = hAPP_f900686428on_val(produc823076510on_val(A_3),B_2)
<=> ( A = A_3
& B = B_2 ) ) ).
fof(fact_147_Pair__eq,axiom,
! [A,B,A_3,B_2] :
( hAPP_P658340954on_val(produc1611380469on_val(A),B) = hAPP_P658340954on_val(produc1611380469on_val(A_3),B_2)
<=> ( A = A_3
& B = B_2 ) ) ).
fof(fact_148_Pair__eq,axiom,
! [A,B,A_3,B_2] :
( hAPP_P1963616220on_val(produc379668296on_val(A),B) = hAPP_P1963616220on_val(produc379668296on_val(A_3),B_2)
<=> ( A = A_3
& B = B_2 ) ) ).
fof(fact_149_Pair__eq,axiom,
! [A,B,A_3,B_2] :
( ( is_bop(A)
& is_bop(A_3) )
=> ( hAPP_P929466802al_val(produc621191550al_val(A),B) = hAPP_P929466802al_val(produc621191550al_val(A_3),B_2)
<=> ( A = A_3
& B = B_2 ) ) ) ).
fof(fact_150_Pair__eq,axiom,
! [A,B,A_3,B_2] :
( hAPP_v852496844al_val(product_Pair_val_val(A),B) = hAPP_v852496844al_val(product_Pair_val_val(A_3),B_2)
<=> ( A = A_3
& B = B_2 ) ) ).
fof(fact_151_Pair__eq,axiom,
! [A,B,A_3,B_2] :
( hAPP_l2100324114t_char(produc5062597t_char(A),B) = hAPP_l2100324114t_char(produc5062597t_char(A_3),B_2)
<=> ( A = A_3
& B = B_2 ) ) ).
fof(fact_152_Pair__eq,axiom,
! [A,B,A_3,B_2] :
( hAPP_e952791821t_char(produc1147572817t_char(A),B) = hAPP_e952791821t_char(produc1147572817t_char(A_3),B_2)
<=> ( A = A_3
& B = B_2 ) ) ).
fof(fact_153_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P1002912327r_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P1002912327r_bool(Pa,hAPP_P1342907945t_char(produc1897818327t_char(A_1),B_1))) ) ).
fof(fact_154_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P2010574925r_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P2010574925r_bool(Pa,hAPP_P1657265855t_char(produc2080520419t_char(A_1),B_1))) ) ).
fof(fact_155_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P2123002749l_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P2123002749l_bool(Pa,hAPP_P47773639al_val(produc1244920211al_val(A_1),B_1))) ) ).
fof(fact_156_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P738987199l_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P738987199l_bool(Pa,hAPP_P2123720426al_val(produc1924279125al_val(A_1),B_1))) ) ).
fof(fact_157_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P2028072621l_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P2028072621l_bool(Pa,hAPP_P1758592847on_val(produc1951691075on_val(A_1),B_1))) ) ).
fof(fact_158_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P124632071l_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P124632071l_bool(Pa,hAPP_P330218428on_val(produc499151895on_val(A_1),B_1))) ) ).
fof(fact_159_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P378063101l_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P378063101l_bool(Pa,hAPP_P1486793863on_val(produc1564932627on_val(A_1),B_1))) ) ).
fof(fact_160_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P1221872711l_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P1221872711l_bool(Pa,hAPP_P291613419on_val(produc870913623on_val(A_1),B_1))) ) ).
fof(fact_161_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P1183499705r_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P1183499705r_bool(Pa,hAPP_P1220989409t_char(produc1299387215t_char(A_1),B_1))) ) ).
fof(fact_162_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P1240100515r_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P1240100515r_bool(Pa,hAPP_P1333668416t_char(produc57279289t_char(A_1),B_1))) ) ).
fof(fact_163_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P824029447r_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P824029447r_bool(Pa,hAPP_P1539798428t_char(produc24551831t_char(A_1),B_1))) ) ).
fof(fact_164_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P92196306r_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P92196306r_bool(Pa,hAPP_P767818445t_char(produc921874948t_char(A_1),B_1))) ) ).
fof(fact_165_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P1907982426r_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P1907982426r_bool(Pa,hAPP_P1392904962t_char(produc1909267824t_char(A_1),B_1))) ) ).
fof(fact_166_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P2118621157r_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P2118621157r_bool(Pa,hAPP_e1752110927t_char(produc1916172923t_char(A_1),B_1))) ) ).
fof(fact_167_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P159683425l_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P159683425l_bool(Pa,hAPP_f1727192346on_val(produc899768717on_val(A_1),B_1))) ) ).
fof(fact_168_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P282169671l_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P282169671l_bool(Pa,hAPP_P1886180715on_val(produc1441475159on_val(A_1),B_1))) ) ).
fof(fact_169_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P1708370145l_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P1708370145l_bool(Pa,hAPP_P604205461on_val(produc1259058957on_val(A_1),B_1))) ) ).
fof(fact_170_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P1235399154l_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P1235399154l_bool(Pa,hAPP_f900686428on_val(produc823076510on_val(A_1),B_1))) ) ).
fof(fact_171_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P1333315679l_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P1333315679l_bool(Pa,hAPP_P658340954on_val(produc1611380469on_val(A_1),B_1))) ) ).
fof(fact_172_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P71593144l_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P71593144l_bool(Pa,hAPP_P1963616220on_val(produc379668296on_val(A_1),B_1))) ) ).
fof(fact_173_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P943837928l_bool(Pa,X1))
<=> ! [A_1,B_1] :
( is_bop(A_1)
=> hBOOL(hAPP_P943837928l_bool(Pa,hAPP_P929466802al_val(produc621191550al_val(A_1),B_1))) ) ) ).
fof(fact_174_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P929938951l_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P929938951l_bool(Pa,hAPP_v852496844al_val(product_Pair_val_val(A_1),B_1))) ) ).
fof(fact_175_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P449474095r_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P449474095r_bool(Pa,hAPP_l2100324114t_char(produc5062597t_char(A_1),B_1))) ) ).
fof(fact_176_split__paired__All,axiom,
! [Pa] :
( ! [X1] : hBOOL(hAPP_P2014166431r_bool(Pa,X1))
<=> ! [A_1,B_1] : hBOOL(hAPP_P2014166431r_bool(Pa,hAPP_e952791821t_char(produc1147572817t_char(A_1),B_1))) ) ).
fof(fact_177_neq__if__length__neq,axiom,
! [Xs_2,Ys_2] :
( size_s1050794909ion_ty(Xs_2) != size_s1050794909ion_ty(Ys_2)
=> Xs_2 != Ys_2 ) ).
fof(fact_178_neq__if__length__neq,axiom,
! [Xs_2,Ys_2] :
( size_s2113983095t_char(Xs_2) != size_s2113983095t_char(Ys_2)
=> Xs_2 != Ys_2 ) ).
fof(fact_179_neq__if__length__neq,axiom,
! [Xs_2,Ys_2] :
( size_size_list_ty(Xs_2) != size_size_list_ty(Ys_2)
=> Xs_2 != Ys_2 ) ).
fof(fact_180_neq__if__length__neq,axiom,
! [Xs_2,Ys_2] :
( size_size_list_val(Xs_2) != size_size_list_val(Ys_2)
=> Xs_2 != Ys_2 ) ).
fof(fact_181_neq__if__length__neq,axiom,
! [Xs_2,Ys_2] :
( size_s1143674878t_char(Xs_2) != size_s1143674878t_char(Ys_2)
=> Xs_2 != Ys_2 ) ).
fof(fact_182_list__all2__eq,axiom,
! [Xs,Ys] :
( Xs = Ys
<=> hBOOL(list_all2_ty_ty(fequal_ty,Xs,Ys)) ) ).
fof(fact_183_widen__trans,axiom,
! [T_5,P_3,S_4,U_1] :
( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(P_3),S_4),U_1))
=> ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(P_3),U_1),T_5))
=> hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(P_3),S_4),T_5)) ) ) ).
fof(fact_184_prod__cases3,axiom,
! [Y_4] :
~ ! [A_1,B_1,C_4] : Y_4 != hAPP_P767818445t_char(produc921874948t_char(A_1),hAPP_P1392904962t_char(produc1909267824t_char(B_1),C_4)) ).
fof(fact_185_prod__cases3,axiom,
! [Y_4] :
~ ! [A_1,B_1,C_4] : Y_4 != hAPP_P1392904962t_char(produc1909267824t_char(A_1),hAPP_e1752110927t_char(produc1916172923t_char(B_1),C_4)) ).
fof(fact_186_prod__cases3,axiom,
! [Y_3] :
~ ! [A_1,B_1,C_4] : Y_3 != hAPP_P1886180715on_val(produc1441475159on_val(A_1),hAPP_P604205461on_val(produc1259058957on_val(B_1),C_4)) ).
fof(fact_187_prod__cases3,axiom,
! [Y_3] :
~ ! [A_1,B_1,C_4] : Y_3 != hAPP_P604205461on_val(produc1259058957on_val(A_1),hAPP_f1727192346on_val(produc899768717on_val(B_1),C_4)) ).
fof(fact_188_prod__cases3,axiom,
! [Y_3] :
~ ! [A_1,B_1,C_4] : Y_3 != hAPP_P658340954on_val(produc1611380469on_val(A_1),hAPP_P1963616220on_val(produc379668296on_val(B_1),C_4)) ).
fof(fact_189_prod__cases3,axiom,
! [Y_3] :
~ ! [A_1,B_1,C_4] : Y_3 != hAPP_P1963616220on_val(produc379668296on_val(A_1),hAPP_f1727192346on_val(produc899768717on_val(B_1),C_4)) ).
fof(fact_190_prod__cases3,axiom,
! [Y_4] :
~ ! [A_1,B_1,C_4] :
( is_bop(A_1)
=> Y_4 != hAPP_P929466802al_val(produc621191550al_val(A_1),hAPP_v852496844al_val(product_Pair_val_val(B_1),C_4)) ) ).
fof(fact_191_prod__cases3,axiom,
! [Y_4] :
~ ! [A_1,B_1,C_4] : Y_4 != hAPP_P1539798428t_char(produc24551831t_char(A_1),hAPP_P767818445t_char(produc921874948t_char(B_1),C_4)) ).
fof(fact_192_prod__cases3,axiom,
! [Y_4] :
~ ! [A_1,B_1,C_4] : Y_4 != hAPP_P1333668416t_char(produc57279289t_char(A_1),hAPP_P1392904962t_char(produc1909267824t_char(B_1),C_4)) ).
fof(fact_193_prod__cases3,axiom,
! [Y_4] :
~ ! [A_1,B_1,C_4] : Y_4 != hAPP_P1220989409t_char(produc1299387215t_char(A_1),hAPP_e1752110927t_char(produc1916172923t_char(B_1),C_4)) ).
fof(fact_194_prod__cases3,axiom,
! [Y_3] :
~ ! [A_1,B_1,C_4] : Y_3 != hAPP_P291613419on_val(produc870913623on_val(A_1),hAPP_f1727192346on_val(produc899768717on_val(B_1),C_4)) ).
fof(fact_195_prod__cases3,axiom,
! [Y_3] :
~ ! [A_1,B_1,C_4] : Y_3 != hAPP_P1486793863on_val(produc1564932627on_val(A_1),hAPP_P1886180715on_val(produc1441475159on_val(B_1),C_4)) ).
fof(fact_196_prod__cases3,axiom,
! [Y_3] :
~ ! [A_1,B_1,C_4] : Y_3 != hAPP_P330218428on_val(produc499151895on_val(A_1),hAPP_f900686428on_val(produc823076510on_val(B_1),C_4)) ).
fof(fact_197_prod__cases3,axiom,
! [Y_3] :
~ ! [A_1,B_1,C_4] : Y_3 != hAPP_P1758592847on_val(produc1951691075on_val(A_1),hAPP_P658340954on_val(produc1611380469on_val(B_1),C_4)) ).
fof(fact_198_prod__cases3,axiom,
! [Y_4] :
~ ! [A_1,B_1,C_4] :
( is_bop(B_1)
=> Y_4 != hAPP_P2123720426al_val(produc1924279125al_val(A_1),hAPP_P929466802al_val(produc621191550al_val(B_1),C_4)) ) ).
fof(fact_199_prod__cases3,axiom,
! [Y_4] :
~ ! [A_1,B_1,C_4] : Y_4 != hAPP_P47773639al_val(produc1244920211al_val(A_1),hAPP_v852496844al_val(product_Pair_val_val(B_1),C_4)) ).
fof(fact_200_prod__cases3,axiom,
! [Y_4] :
~ ! [A_1,B_1,C_4] : Y_4 != hAPP_P1657265855t_char(produc2080520419t_char(A_1),hAPP_l2100324114t_char(produc5062597t_char(B_1),C_4)) ).
fof(fact_201_prod__cases3,axiom,
! [Y_4] :
~ ! [A_1,B_1,C_4] : Y_4 != hAPP_P1342907945t_char(produc1897818327t_char(A_1),hAPP_e952791821t_char(produc1147572817t_char(B_1),C_4)) ).
fof(fact_202_prod__induct3,axiom,
! [X_1,Pa] :
( ! [A_1,B_1,C_4] : hBOOL(hAPP_P92196306r_bool(Pa,hAPP_P767818445t_char(produc921874948t_char(A_1),hAPP_P1392904962t_char(produc1909267824t_char(B_1),C_4))))
=> hBOOL(hAPP_P92196306r_bool(Pa,X_1)) ) ).
fof(fact_203_prod__induct3,axiom,
! [X_1,Pa] :
( ! [A_1,B_1,C_4] : hBOOL(hAPP_P1907982426r_bool(Pa,hAPP_P1392904962t_char(produc1909267824t_char(A_1),hAPP_e1752110927t_char(produc1916172923t_char(B_1),C_4))))
=> hBOOL(hAPP_P1907982426r_bool(Pa,X_1)) ) ).
fof(fact_204_prod__induct3,axiom,
! [X_1,Pa] :
( ! [A_1,B_1,C_4] : hBOOL(hAPP_P282169671l_bool(Pa,hAPP_P1886180715on_val(produc1441475159on_val(A_1),hAPP_P604205461on_val(produc1259058957on_val(B_1),C_4))))
=> hBOOL(hAPP_P282169671l_bool(Pa,X_1)) ) ).
fof(fact_205_prod__induct3,axiom,
! [X_1,Pa] :
( ! [A_1,B_1,C_4] : hBOOL(hAPP_P1708370145l_bool(Pa,hAPP_P604205461on_val(produc1259058957on_val(A_1),hAPP_f1727192346on_val(produc899768717on_val(B_1),C_4))))
=> hBOOL(hAPP_P1708370145l_bool(Pa,X_1)) ) ).
fof(fact_206_prod__induct3,axiom,
! [X_1,Pa] :
( ! [A_1,B_1,C_4] : hBOOL(hAPP_P1333315679l_bool(Pa,hAPP_P658340954on_val(produc1611380469on_val(A_1),hAPP_P1963616220on_val(produc379668296on_val(B_1),C_4))))
=> hBOOL(hAPP_P1333315679l_bool(Pa,X_1)) ) ).
fof(fact_207_prod__induct3,axiom,
! [X_1,Pa] :
( ! [A_1,B_1,C_4] : hBOOL(hAPP_P71593144l_bool(Pa,hAPP_P1963616220on_val(produc379668296on_val(A_1),hAPP_f1727192346on_val(produc899768717on_val(B_1),C_4))))
=> hBOOL(hAPP_P71593144l_bool(Pa,X_1)) ) ).
fof(fact_208_prod__induct3,axiom,
! [X_1,Pa] :
( ! [A_1,B_1,C_4] :
( is_bop(A_1)
=> hBOOL(hAPP_P943837928l_bool(Pa,hAPP_P929466802al_val(produc621191550al_val(A_1),hAPP_v852496844al_val(product_Pair_val_val(B_1),C_4)))) )
=> hBOOL(hAPP_P943837928l_bool(Pa,X_1)) ) ).
fof(fact_209_prod__induct3,axiom,
! [X_1,Pa] :
( ! [A_1,B_1,C_4] : hBOOL(hAPP_P824029447r_bool(Pa,hAPP_P1539798428t_char(produc24551831t_char(A_1),hAPP_P767818445t_char(produc921874948t_char(B_1),C_4))))
=> hBOOL(hAPP_P824029447r_bool(Pa,X_1)) ) ).
fof(fact_210_prod__induct3,axiom,
! [X_1,Pa] :
( ! [A_1,B_1,C_4] : hBOOL(hAPP_P1240100515r_bool(Pa,hAPP_P1333668416t_char(produc57279289t_char(A_1),hAPP_P1392904962t_char(produc1909267824t_char(B_1),C_4))))
=> hBOOL(hAPP_P1240100515r_bool(Pa,X_1)) ) ).
fof(fact_211_prod__induct3,axiom,
! [X_1,Pa] :
( ! [A_1,B_1,C_4] : hBOOL(hAPP_P1183499705r_bool(Pa,hAPP_P1220989409t_char(produc1299387215t_char(A_1),hAPP_e1752110927t_char(produc1916172923t_char(B_1),C_4))))
=> hBOOL(hAPP_P1183499705r_bool(Pa,X_1)) ) ).
fof(fact_212_prod__induct3,axiom,
! [X_1,Pa] :
( ! [A_1,B_1,C_4] : hBOOL(hAPP_P1221872711l_bool(Pa,hAPP_P291613419on_val(produc870913623on_val(A_1),hAPP_f1727192346on_val(produc899768717on_val(B_1),C_4))))
=> hBOOL(hAPP_P1221872711l_bool(Pa,X_1)) ) ).
fof(fact_213_prod__induct3,axiom,
! [X_1,Pa] :
( ! [A_1,B_1,C_4] : hBOOL(hAPP_P378063101l_bool(Pa,hAPP_P1486793863on_val(produc1564932627on_val(A_1),hAPP_P1886180715on_val(produc1441475159on_val(B_1),C_4))))
=> hBOOL(hAPP_P378063101l_bool(Pa,X_1)) ) ).
fof(fact_214_prod__induct3,axiom,
! [X_1,Pa] :
( ! [A_1,B_1,C_4] : hBOOL(hAPP_P124632071l_bool(Pa,hAPP_P330218428on_val(produc499151895on_val(A_1),hAPP_f900686428on_val(produc823076510on_val(B_1),C_4))))
=> hBOOL(hAPP_P124632071l_bool(Pa,X_1)) ) ).
fof(fact_215_prod__induct3,axiom,
! [X_1,Pa] :
( ! [A_1,B_1,C_4] : hBOOL(hAPP_P2028072621l_bool(Pa,hAPP_P1758592847on_val(produc1951691075on_val(A_1),hAPP_P658340954on_val(produc1611380469on_val(B_1),C_4))))
=> hBOOL(hAPP_P2028072621l_bool(Pa,X_1)) ) ).
fof(fact_216_prod__induct3,axiom,
! [X_1,Pa] :
( ! [A_1,B_1,C_4] :
( is_bop(B_1)
=> hBOOL(hAPP_P738987199l_bool(Pa,hAPP_P2123720426al_val(produc1924279125al_val(A_1),hAPP_P929466802al_val(produc621191550al_val(B_1),C_4)))) )
=> hBOOL(hAPP_P738987199l_bool(Pa,X_1)) ) ).
fof(fact_217_prod__induct3,axiom,
! [X_1,Pa] :
( ! [A_1,B_1,C_4] : hBOOL(hAPP_P2123002749l_bool(Pa,hAPP_P47773639al_val(produc1244920211al_val(A_1),hAPP_v852496844al_val(product_Pair_val_val(B_1),C_4))))
=> hBOOL(hAPP_P2123002749l_bool(Pa,X_1)) ) ).
fof(fact_218_prod__induct3,axiom,
! [X_1,Pa] :
( ! [A_1,B_1,C_4] : hBOOL(hAPP_P2010574925r_bool(Pa,hAPP_P1657265855t_char(produc2080520419t_char(A_1),hAPP_l2100324114t_char(produc5062597t_char(B_1),C_4))))
=> hBOOL(hAPP_P2010574925r_bool(Pa,X_1)) ) ).
fof(fact_219_prod__induct3,axiom,
! [X_1,Pa] :
( ! [A_1,B_1,C_4] : hBOOL(hAPP_P1002912327r_bool(Pa,hAPP_P1342907945t_char(produc1897818327t_char(A_1),hAPP_e952791821t_char(produc1147572817t_char(B_1),C_4))))
=> hBOOL(hAPP_P1002912327r_bool(Pa,X_1)) ) ).
fof(fact_220_confs__conv__map,axiom,
! [Pa,Ha,Vsa,Ts_1] :
( hBOOL(list_all2_val_ty(conf_P373316194t_char(Pa,Ha),Vsa,Ts_1))
<=> ? [Ts_2] :
( hAPP_l2006940821ion_ty(map_val_option_ty(typeof_h(Ha)),Vsa) = hAPP_l1487035934ion_ty(map_ty_option_ty(some_ty),Ts_2)
& hBOOL(list_all2_ty_ty(widen_2090681816t_char(Pa),Ts_2,Ts_1)) ) ) ).
fof(fact_221_list__all2__mono,axiom,
! [Q,Pa,Xs,Ys] :
( hBOOL(list_all2_ty_ty(Pa,Xs,Ys))
=> ( ! [Xs_1,Ys_1] :
( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(Pa,Xs_1),Ys_1))
=> hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(Q,Xs_1),Ys_1)) )
=> hBOOL(list_all2_ty_ty(Q,Xs,Ys)) ) ) ).
fof(fact_222_list__all2__mono,axiom,
! [Q,Pa,Xs,Ys] :
( hBOOL(list_all2_val_ty(Pa,Xs,Ys))
=> ( ! [Xs_1,Ys_1] :
( hBOOL(hAPP_ty_bool(hAPP_val_fun_ty_bool(Pa,Xs_1),Ys_1))
=> hBOOL(hAPP_ty_bool(hAPP_val_fun_ty_bool(Q,Xs_1),Ys_1)) )
=> hBOOL(list_all2_val_ty(Q,Xs,Ys)) ) ) ).
fof(fact_223_list__all2__refl,axiom,
! [Xs,Pa] :
( ! [X_3] : hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(Pa,X_3),X_3))
=> hBOOL(list_all2_ty_ty(Pa,Xs,Xs)) ) ).
fof(fact_224_list__all2__antisym,axiom,
! [Xs,Ys,Q,Pa] :
( ! [X_3,Y_1] :
( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(Pa,X_3),Y_1))
=> ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(Q,Y_1),X_3))
=> X_3 = Y_1 ) )
=> ( hBOOL(list_all2_ty_ty(Pa,Xs,Ys))
=> ( hBOOL(list_all2_ty_ty(Q,Ys,Xs))
=> Xs = Ys ) ) ) ).
fof(fact_225_Ex__list__of__length,axiom,
! [N_1] :
? [Xs_1] : size_s1050794909ion_ty(Xs_1) = N_1 ).
fof(fact_226_Ex__list__of__length,axiom,
! [N_1] :
? [Xs_1] : size_s2113983095t_char(Xs_1) = N_1 ).
fof(fact_227_Ex__list__of__length,axiom,
! [N_1] :
? [Xs_1] : size_size_list_ty(Xs_1) = N_1 ).
fof(fact_228_Ex__list__of__length,axiom,
! [N_1] :
? [Xs_1] : size_size_list_val(Xs_1) = N_1 ).
fof(fact_229_Ex__list__of__length,axiom,
! [N_1] :
? [Xs_1] : size_s1143674878t_char(Xs_1) = N_1 ).
fof(fact_230_prod_Oexhaust,axiom,
! [Y_2] :
~ ! [A_1,B_1] : Y_2 != hAPP_P1342907945t_char(produc1897818327t_char(A_1),B_1) ).
fof(fact_231_prod_Oexhaust,axiom,
! [Y_2] :
~ ! [A_1,B_1] : Y_2 != hAPP_P1657265855t_char(produc2080520419t_char(A_1),B_1) ).
fof(fact_232_prod_Oexhaust,axiom,
! [Y_2] :
~ ! [A_1,B_1] : Y_2 != hAPP_P47773639al_val(produc1244920211al_val(A_1),B_1) ).
fof(fact_233_prod_Oexhaust,axiom,
! [Y_2] :
~ ! [A_1,B_1] : Y_2 != hAPP_P2123720426al_val(produc1924279125al_val(A_1),B_1) ).
fof(fact_234_prod_Oexhaust,axiom,
! [Y_3] :
~ ! [A_1,B_1] : Y_3 != hAPP_P1758592847on_val(produc1951691075on_val(A_1),B_1) ).
fof(fact_235_prod_Oexhaust,axiom,
! [Y_3] :
~ ! [A_1,B_1] : Y_3 != hAPP_P330218428on_val(produc499151895on_val(A_1),B_1) ).
fof(fact_236_prod_Oexhaust,axiom,
! [Y_3] :
~ ! [A_1,B_1] : Y_3 != hAPP_P1486793863on_val(produc1564932627on_val(A_1),B_1) ).
fof(fact_237_prod_Oexhaust,axiom,
! [Y_3] :
~ ! [A_1,B_1] : Y_3 != hAPP_P291613419on_val(produc870913623on_val(A_1),B_1) ).
fof(fact_238_prod_Oexhaust,axiom,
! [Y_2] :
~ ! [A_1,B_1] : Y_2 != hAPP_P1220989409t_char(produc1299387215t_char(A_1),B_1) ).
fof(fact_239_prod_Oexhaust,axiom,
! [Y_2] :
~ ! [A_1,B_1] : Y_2 != hAPP_P1333668416t_char(produc57279289t_char(A_1),B_1) ).
fof(fact_240_prod_Oexhaust,axiom,
! [Y_2] :
~ ! [A_1,B_1] : Y_2 != hAPP_P1539798428t_char(produc24551831t_char(A_1),B_1) ).
fof(fact_241_prod_Oexhaust,axiom,
! [Y_2] :
~ ! [A_1,B_1] : Y_2 != hAPP_P767818445t_char(produc921874948t_char(A_1),B_1) ).
fof(fact_242_prod_Oexhaust,axiom,
! [Y_2] :
~ ! [A_1,B_1] : Y_2 != hAPP_P1392904962t_char(produc1909267824t_char(A_1),B_1) ).
fof(fact_243_prod_Oexhaust,axiom,
! [Y_2] :
~ ! [A_1,B_1] : Y_2 != hAPP_e1752110927t_char(produc1916172923t_char(A_1),B_1) ).
fof(fact_244_prod_Oexhaust,axiom,
! [Y_3] :
~ ! [A_1,B_1] : Y_3 != hAPP_f1727192346on_val(produc899768717on_val(A_1),B_1) ).
fof(fact_245_prod_Oexhaust,axiom,
! [Y_3] :
~ ! [A_1,B_1] : Y_3 != hAPP_P1886180715on_val(produc1441475159on_val(A_1),B_1) ).
fof(fact_246_prod_Oexhaust,axiom,
! [Y_3] :
~ ! [A_1,B_1] : Y_3 != hAPP_P604205461on_val(produc1259058957on_val(A_1),B_1) ).
fof(fact_247_prod_Oexhaust,axiom,
! [Y_3] :
~ ! [A_1,B_1] : Y_3 != hAPP_f900686428on_val(produc823076510on_val(A_1),B_1) ).
fof(fact_248_prod_Oexhaust,axiom,
! [Y_3] :
~ ! [A_1,B_1] : Y_3 != hAPP_P658340954on_val(produc1611380469on_val(A_1),B_1) ).
fof(fact_249_prod_Oexhaust,axiom,
! [Y_3] :
~ ! [A_1,B_1] : Y_3 != hAPP_P1963616220on_val(produc379668296on_val(A_1),B_1) ).
fof(fact_250_prod_Oexhaust,axiom,
! [Y_2] :
~ ! [A_1,B_1] :
( is_bop(A_1)
=> Y_2 != hAPP_P929466802al_val(produc621191550al_val(A_1),B_1) ) ).
fof(fact_251_prod_Oexhaust,axiom,
! [Y_2] :
~ ! [A_1,B_1] : Y_2 != hAPP_v852496844al_val(product_Pair_val_val(A_1),B_1) ).
fof(fact_252_prod_Oexhaust,axiom,
! [Y_2] :
~ ! [A_1,B_1] : Y_2 != hAPP_l2100324114t_char(produc5062597t_char(A_1),B_1) ).
fof(fact_253_prod_Oexhaust,axiom,
! [Y_2] :
~ ! [A_1,B_1] : Y_2 != hAPP_e952791821t_char(produc1147572817t_char(A_1),B_1) ).
fof(fact_254_PairE,axiom,
! [P_2] :
~ ! [X_3,Y_1] : P_2 != hAPP_P1342907945t_char(produc1897818327t_char(X_3),Y_1) ).
fof(fact_255_PairE,axiom,
! [P_2] :
~ ! [X_3,Y_1] : P_2 != hAPP_P1657265855t_char(produc2080520419t_char(X_3),Y_1) ).
fof(fact_256_PairE,axiom,
! [P_2] :
~ ! [X_3,Y_1] : P_2 != hAPP_P47773639al_val(produc1244920211al_val(X_3),Y_1) ).
fof(fact_257_PairE,axiom,
! [P_2] :
~ ! [X_3,Y_1] : P_2 != hAPP_P2123720426al_val(produc1924279125al_val(X_3),Y_1) ).
fof(fact_258_PairE,axiom,
! [P_1] :
~ ! [X_3,Y_1] : P_1 != hAPP_P1758592847on_val(produc1951691075on_val(X_3),Y_1) ).
fof(fact_259_PairE,axiom,
! [P_1] :
~ ! [X_3,Y_1] : P_1 != hAPP_P330218428on_val(produc499151895on_val(X_3),Y_1) ).
fof(fact_260_PairE,axiom,
! [P_1] :
~ ! [X_3,Y_1] : P_1 != hAPP_P1486793863on_val(produc1564932627on_val(X_3),Y_1) ).
fof(fact_261_PairE,axiom,
! [P_1] :
~ ! [X_3,Y_1] : P_1 != hAPP_P291613419on_val(produc870913623on_val(X_3),Y_1) ).
fof(fact_262_PairE,axiom,
! [P_2] :
~ ! [X_3,Y_1] : P_2 != hAPP_P1220989409t_char(produc1299387215t_char(X_3),Y_1) ).
fof(fact_263_PairE,axiom,
! [P_2] :
~ ! [X_3,Y_1] : P_2 != hAPP_P1333668416t_char(produc57279289t_char(X_3),Y_1) ).
fof(fact_264_PairE,axiom,
! [P_2] :
~ ! [X_3,Y_1] : P_2 != hAPP_P1539798428t_char(produc24551831t_char(X_3),Y_1) ).
fof(fact_265_PairE,axiom,
! [P_2] :
~ ! [X_3,Y_1] : P_2 != hAPP_P767818445t_char(produc921874948t_char(X_3),Y_1) ).
fof(fact_266_PairE,axiom,
! [P_2] :
~ ! [X_3,Y_1] : P_2 != hAPP_P1392904962t_char(produc1909267824t_char(X_3),Y_1) ).
fof(fact_267_PairE,axiom,
! [P_2] :
~ ! [X_3,Y_1] : P_2 != hAPP_e1752110927t_char(produc1916172923t_char(X_3),Y_1) ).
fof(fact_268_PairE,axiom,
! [P_1] :
~ ! [X_3,Y_1] : P_1 != hAPP_f1727192346on_val(produc899768717on_val(X_3),Y_1) ).
fof(fact_269_PairE,axiom,
! [P_1] :
~ ! [X_3,Y_1] : P_1 != hAPP_P1886180715on_val(produc1441475159on_val(X_3),Y_1) ).
fof(fact_270_PairE,axiom,
! [P_1] :
~ ! [X_3,Y_1] : P_1 != hAPP_P604205461on_val(produc1259058957on_val(X_3),Y_1) ).
fof(fact_271_PairE,axiom,
! [P_1] :
~ ! [X_3,Y_1] : P_1 != hAPP_f900686428on_val(produc823076510on_val(X_3),Y_1) ).
fof(fact_272_PairE,axiom,
! [P_1] :
~ ! [X_3,Y_1] : P_1 != hAPP_P658340954on_val(produc1611380469on_val(X_3),Y_1) ).
fof(fact_273_PairE,axiom,
! [P_1] :
~ ! [X_3,Y_1] : P_1 != hAPP_P1963616220on_val(produc379668296on_val(X_3),Y_1) ).
fof(fact_274_PairE,axiom,
! [P_2] :
~ ! [X_3,Y_1] :
( is_bop(X_3)
=> P_2 != hAPP_P929466802al_val(produc621191550al_val(X_3),Y_1) ) ).
fof(fact_275_PairE,axiom,
! [P_2] :
~ ! [X_3,Y_1] : P_2 != hAPP_v852496844al_val(product_Pair_val_val(X_3),Y_1) ).
fof(fact_276_PairE,axiom,
! [P_2] :
~ ! [X_3,Y_1] : P_2 != hAPP_l2100324114t_char(produc5062597t_char(X_3),Y_1) ).
fof(fact_277_PairE,axiom,
! [P_2] :
~ ! [X_3,Y_1] : P_2 != hAPP_e952791821t_char(produc1147572817t_char(X_3),Y_1) ).
fof(fact_278_conf__widen,axiom,
! [T,Pa,Ha,V_2,Ta] :
( hBOOL(hAPP_ty_bool(hAPP_val_fun_ty_bool(conf_P373316194t_char(Pa,Ha),V_2),Ta))
=> ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),Ta),T))
=> hBOOL(hAPP_ty_bool(hAPP_val_fun_ty_bool(conf_P373316194t_char(Pa,Ha),V_2),T)) ) ) ).
fof(fact_279_typeof__conf,axiom,
! [Pa,Ha,V_2,Ta] :
( hAPP_val_option_ty(typeof_h(Ha),V_2) = hAPP_ty_option_ty(some_ty,Ta)
=> hBOOL(hAPP_ty_bool(hAPP_val_fun_ty_bool(conf_P373316194t_char(Pa,Ha),V_2),Ta)) ) ).
fof(fact_280_confs__widens,axiom,
! [Ts_1,Pa,Ha,Vsa,Tsa] :
( hBOOL(list_all2_val_ty(conf_P373316194t_char(Pa,Ha),Vsa,Tsa))
=> ( hBOOL(list_all2_ty_ty(widen_2090681816t_char(Pa),Tsa,Ts_1))
=> hBOOL(list_all2_val_ty(conf_P373316194t_char(Pa,Ha),Vsa,Ts_1)) ) ) ).
fof(fact_281_conf__def,axiom,
! [Pa,Ha,V_2,Ta] :
( hBOOL(hAPP_ty_bool(hAPP_val_fun_ty_bool(conf_P373316194t_char(Pa,Ha),V_2),Ta))
<=> ? [T_4] :
( hAPP_val_option_ty(typeof_h(Ha),V_2) = hAPP_ty_option_ty(some_ty,T_4)
& hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_4),Ta)) ) ) ).
fof(fact_282_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P1002912327r_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P1002912327r_bool(Pa,hAPP_P1342907945t_char(produc1897818327t_char(A_1),B_1))) ) ).
fof(fact_283_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P2010574925r_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P2010574925r_bool(Pa,hAPP_P1657265855t_char(produc2080520419t_char(A_1),B_1))) ) ).
fof(fact_284_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P2123002749l_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P2123002749l_bool(Pa,hAPP_P47773639al_val(produc1244920211al_val(A_1),B_1))) ) ).
fof(fact_285_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P738987199l_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P738987199l_bool(Pa,hAPP_P2123720426al_val(produc1924279125al_val(A_1),B_1))) ) ).
fof(fact_286_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P2028072621l_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P2028072621l_bool(Pa,hAPP_P1758592847on_val(produc1951691075on_val(A_1),B_1))) ) ).
fof(fact_287_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P124632071l_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P124632071l_bool(Pa,hAPP_P330218428on_val(produc499151895on_val(A_1),B_1))) ) ).
fof(fact_288_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P378063101l_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P378063101l_bool(Pa,hAPP_P1486793863on_val(produc1564932627on_val(A_1),B_1))) ) ).
fof(fact_289_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P1221872711l_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P1221872711l_bool(Pa,hAPP_P291613419on_val(produc870913623on_val(A_1),B_1))) ) ).
fof(fact_290_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P1183499705r_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P1183499705r_bool(Pa,hAPP_P1220989409t_char(produc1299387215t_char(A_1),B_1))) ) ).
fof(fact_291_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P1240100515r_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P1240100515r_bool(Pa,hAPP_P1333668416t_char(produc57279289t_char(A_1),B_1))) ) ).
fof(fact_292_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P824029447r_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P824029447r_bool(Pa,hAPP_P1539798428t_char(produc24551831t_char(A_1),B_1))) ) ).
fof(fact_293_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P92196306r_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P92196306r_bool(Pa,hAPP_P767818445t_char(produc921874948t_char(A_1),B_1))) ) ).
fof(fact_294_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P1907982426r_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P1907982426r_bool(Pa,hAPP_P1392904962t_char(produc1909267824t_char(A_1),B_1))) ) ).
fof(fact_295_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P2118621157r_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P2118621157r_bool(Pa,hAPP_e1752110927t_char(produc1916172923t_char(A_1),B_1))) ) ).
fof(fact_296_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P159683425l_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P159683425l_bool(Pa,hAPP_f1727192346on_val(produc899768717on_val(A_1),B_1))) ) ).
fof(fact_297_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P282169671l_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P282169671l_bool(Pa,hAPP_P1886180715on_val(produc1441475159on_val(A_1),B_1))) ) ).
fof(fact_298_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P1708370145l_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P1708370145l_bool(Pa,hAPP_P604205461on_val(produc1259058957on_val(A_1),B_1))) ) ).
fof(fact_299_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P1235399154l_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P1235399154l_bool(Pa,hAPP_f900686428on_val(produc823076510on_val(A_1),B_1))) ) ).
fof(fact_300_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P1333315679l_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P1333315679l_bool(Pa,hAPP_P658340954on_val(produc1611380469on_val(A_1),B_1))) ) ).
fof(fact_301_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P71593144l_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P71593144l_bool(Pa,hAPP_P1963616220on_val(produc379668296on_val(A_1),B_1))) ) ).
fof(fact_302_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P943837928l_bool(Pa,X1))
<=> ? [A_1,B_1] :
( is_bop(A_1)
& hBOOL(hAPP_P943837928l_bool(Pa,hAPP_P929466802al_val(produc621191550al_val(A_1),B_1))) ) ) ).
fof(fact_303_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P929938951l_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P929938951l_bool(Pa,hAPP_v852496844al_val(product_Pair_val_val(A_1),B_1))) ) ).
fof(fact_304_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P449474095r_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P449474095r_bool(Pa,hAPP_l2100324114t_char(produc5062597t_char(A_1),B_1))) ) ).
fof(fact_305_split__paired__Ex,axiom,
! [Pa] :
( ? [X1] : hBOOL(hAPP_P2014166431r_bool(Pa,X1))
<=> ? [A_1,B_1] : hBOOL(hAPP_P2014166431r_bool(Pa,hAPP_e952791821t_char(produc1147572817t_char(A_1),B_1))) ) ).
fof(fact_306_confs__hext,axiom,
! [H_1,Pa,Ha,Vsa,Tsa] :
( hBOOL(list_all2_val_ty(conf_P373316194t_char(Pa,Ha),Vsa,Tsa))
=> ( hBOOL(hext(Ha,H_1))
=> hBOOL(list_all2_val_ty(conf_P373316194t_char(Pa,H_1),Vsa,Tsa)) ) ) ).
fof(fact_307_blocksEval,axiom,
! [Pa,Ea,Ha,L_1,E_1,H_1,L_2,Vsa,Ps,Tsa] :
( size_s2113983095t_char(Ps) = size_size_list_ty(Tsa)
=> ( size_s2113983095t_char(Ps) = size_size_list_val(Vsa)
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,blocks(hAPP_P767818445t_char(produc921874948t_char(Ps),hAPP_P1392904962t_char(produc1909267824t_char(Tsa),hAPP_e1752110927t_char(produc1916172923t_char(Vsa),Ea)))),hAPP_f1727192346on_val(produc899768717on_val(Ha),L_1)),E_1),hAPP_f1727192346on_val(produc899768717on_val(H_1),L_2)))
=> ? [L_4] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,hAPP_f1727192346on_val(produc899768717on_val(Ha),map_up1085636310ar_val(L_1,Ps,Vsa))),E_1),hAPP_f1727192346on_val(produc899768717on_val(H_1),L_4))) ) ) ) ).
fof(fact_308_option_Oinject,axiom,
! [A,A_3] :
( hAPP_ty_option_ty(some_ty,A) = hAPP_ty_option_ty(some_ty,A_3)
<=> A = A_3 ) ).
fof(fact_309_option_Oinject,axiom,
! [A,A_3] :
( hAPP_P1510515380on_val(some_P948696889on_val,A) = hAPP_P1510515380on_val(some_P948696889on_val,A_3)
<=> A = A_3 ) ).
fof(fact_310_option_Oinject,axiom,
! [A,A_3] :
( hAPP_val_option_val(some_val,A) = hAPP_val_option_val(some_val,A_3)
<=> A = A_3 ) ).
fof(fact_311_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P1002912327r_bool(F_1,hAPP_P1342907945t_char(produc1897818327t_char(A),B)))
=> hBOOL(hAPP_P2014166431r_bool(hAPP_P1939418767r_bool(produc1295142846r_bool(F_1),A),B)) ) ).
fof(fact_312_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P2010574925r_bool(F_1,hAPP_P1657265855t_char(produc2080520419t_char(A),B)))
=> hBOOL(hAPP_P449474095r_bool(hAPP_P663876415r_bool(produc715708746r_bool(F_1),A),B)) ) ).
fof(fact_313_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P2123002749l_bool(F_1,hAPP_P47773639al_val(produc1244920211al_val(A),B)))
=> hBOOL(hAPP_P929938951l_bool(hAPP_P1815899455l_bool(produc1034940666l_bool(F_1),A),B)) ) ).
fof(fact_314_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P738987199l_bool(F_1,hAPP_P2123720426al_val(produc1924279125al_val(A),B)))
=> hBOOL(hAPP_P943837928l_bool(hAPP_P323054207l_bool(produc1969754044l_bool(F_1),A),B)) ) ).
fof(fact_315_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P2028072621l_bool(F_1,hAPP_P1758592847on_val(produc1951691075on_val(A),B)))
=> hBOOL(hAPP_P1333315679l_bool(hAPP_P220718911l_bool(produc971707818l_bool(F_1),A),B)) ) ).
fof(fact_316_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P124632071l_bool(F_1,hAPP_P330218428on_val(produc499151895on_val(A),B)))
=> hBOOL(hAPP_P1235399154l_bool(hAPP_P416784693l_bool(produc1996970750l_bool(F_1),A),B)) ) ).
fof(fact_317_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P378063101l_bool(F_1,hAPP_P1486793863on_val(produc1564932627on_val(A),B)))
=> hBOOL(hAPP_P282169671l_bool(hAPP_P2062527807l_bool(produc1497005946l_bool(F_1),A),B)) ) ).
fof(fact_318_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P1221872711l_bool(F_1,hAPP_P291613419on_val(produc870913623on_val(A),B)))
=> hBOOL(hAPP_P159683425l_bool(hAPP_P1988153107l_bool(produc1073654846l_bool(F_1),A),B)) ) ).
fof(fact_319_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P1183499705r_bool(F_1,hAPP_P1220989409t_char(produc1299387215t_char(A),B)))
=> hBOOL(hAPP_P2118621157r_bool(hAPP_P357098431r_bool(produc1535899062r_bool(F_1),A),B)) ) ).
fof(fact_320_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P1240100515r_bool(F_1,hAPP_P1333668416t_char(produc57279289t_char(A),B)))
=> hBOOL(hAPP_P1907982426r_bool(hAPP_P1214880255r_bool(produc1268552608r_bool(F_1),A),B)) ) ).
fof(fact_321_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P824029447r_bool(F_1,hAPP_P1539798428t_char(produc24551831t_char(A),B)))
=> hBOOL(hAPP_P92196306r_bool(hAPP_P1928969845r_bool(produc17861502r_bool(F_1),A),B)) ) ).
fof(fact_322_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P92196306r_bool(F_1,hAPP_P767818445t_char(produc921874948t_char(A),B)))
=> hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(produc1574020101r_bool(F_1),A),B)) ) ).
fof(fact_323_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P1907982426r_bool(F_1,hAPP_P1392904962t_char(produc1909267824t_char(A),B)))
=> hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(produc156891095r_bool(F_1),A),B)) ) ).
fof(fact_324_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P2118621157r_bool(F_1,hAPP_e1752110927t_char(produc1916172923t_char(A),B)))
=> hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(produc550034914r_bool(F_1),A),B)) ) ).
fof(fact_325_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P159683425l_bool(F_1,hAPP_f1727192346on_val(produc899768717on_val(A),B)))
=> hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(produc2062775566l_bool(F_1),A),B)) ) ).
fof(fact_326_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P282169671l_bool(F_1,hAPP_P1886180715on_val(produc1441475159on_val(A),B)))
=> hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(produc1159035454l_bool(F_1),A),B)) ) ).
fof(fact_327_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P1708370145l_bool(F_1,hAPP_P604205461on_val(produc1259058957on_val(A),B)))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(produc1911975310l_bool(F_1),A),B)) ) ).
fof(fact_328_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P1235399154l_bool(F_1,hAPP_f900686428on_val(produc823076510on_val(A),B)))
=> hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(produc481748255l_bool(F_1),A),B)) ) ).
fof(fact_329_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P1333315679l_bool(F_1,hAPP_P658340954on_val(produc1611380469on_val(A),B)))
=> hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(produc2053127004l_bool(F_1),A),B)) ) ).
fof(fact_330_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P71593144l_bool(F_1,hAPP_P1963616220on_val(produc379668296on_val(A),B)))
=> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(produc1838470831l_bool(F_1),A),B)) ) ).
fof(fact_331_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P943837928l_bool(F_1,hAPP_P929466802al_val(produc621191550al_val(A),B)))
=> hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(produc1555310053l_bool(F_1),A),B)) ) ).
fof(fact_332_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P929938951l_bool(F_1,hAPP_v852496844al_val(product_Pair_val_val(A),B)))
=> hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(produc886919678l_bool(F_1),A),B)) ) ).
fof(fact_333_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P449474095r_bool(F_1,hAPP_l2100324114t_char(produc5062597t_char(A),B)))
=> hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(produc95371820r_bool(F_1),A),B)) ) ).
fof(fact_334_curryI,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P2014166431r_bool(F_1,hAPP_e952791821t_char(produc1147572817t_char(A),B)))
=> hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(produc288369490r_bool(F_1),A),B)) ) ).
fof(fact_335_WTrts__Val,axiom,
! [Pa,Ha,E,Vsa,Tsa] :
( hBOOL(wTrts(Pa,Ha,E,hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vsa),Tsa))
<=> hAPP_l2006940821ion_ty(map_val_option_ty(typeof_h(Ha)),Vsa) = hAPP_l1487035934ion_ty(map_ty_option_ty(some_ty),Tsa) ) ).
fof(fact_336_defval__conf,axiom,
! [Pa,Ha,Ta] : hBOOL(hAPP_ty_bool(hAPP_val_fun_ty_bool(conf_P373316194t_char(Pa,Ha),hAPP_ty_val(default_val,Ta)),Ta)) ).
fof(fact_337_blocksFinal,axiom,
! [Ha,L_1,Pa,Ea,Vsa,Vsa_1,Tsa] :
( size_s2113983095t_char(Vsa_1) = size_size_list_ty(Tsa)
=> ( size_size_list_val(Vsa) = size_size_list_ty(Tsa)
=> ( hBOOL(final_list_char(Ea))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(blocks(hAPP_P767818445t_char(produc921874948t_char(Vsa_1),hAPP_P1392904962t_char(produc1909267824t_char(Tsa),hAPP_e1752110927t_char(produc1916172923t_char(Vsa),Ea))))),hAPP_f1727192346on_val(produc899768717on_val(Ha),L_1))),hAPP_P604205461on_val(produc1259058957on_val(Ea),hAPP_f1727192346on_val(produc899768717on_val(Ha),L_1))),transi2024712006on_val(red(Pa)))) ) ) ) ).
fof(fact_338_WTrtVal,axiom,
! [Pa,E,Ha,V_2,Ta] :
( hAPP_val_option_ty(typeof_h(Ha),V_2) = hAPP_ty_option_ty(some_ty,Ta)
=> hBOOL(wTrt(Pa,Ha,E,hAPP_v834067052t_char(val_list_char,V_2),Ta)) ) ).
fof(fact_339_WTrts__hext__mono,axiom,
! [H_1,Pa,Ha,E,Es,Tsa] :
( hBOOL(wTrts(Pa,Ha,E,Es,Tsa))
=> ( hBOOL(hext(Ha,H_1))
=> hBOOL(wTrts(Pa,H_1,E,Es,Tsa)) ) ) ).
fof(fact_340_WTrt__hext__mono,axiom,
! [H_1,Pa,Ha,E,Ea,Ta] :
( hBOOL(wTrt(Pa,Ha,E,Ea,Ta))
=> ( hBOOL(hext(Ha,H_1))
=> hBOOL(wTrt(Pa,H_1,E,Ea,Ta)) ) ) ).
fof(fact_341_WTrts__same__length,axiom,
! [Pa,Ha,E,Es,Tsa] :
( hBOOL(wTrts(Pa,Ha,E,Es,Tsa))
=> size_s1143674878t_char(Es) = size_size_list_ty(Tsa) ) ).
fof(fact_342_conf__hext,axiom,
! [Pa,V_2,Ta,Ha,H_1] :
( hBOOL(hext(Ha,H_1))
=> ( hBOOL(hAPP_ty_bool(hAPP_val_fun_ty_bool(conf_P373316194t_char(Pa,Ha),V_2),Ta))
=> hBOOL(hAPP_ty_bool(hAPP_val_fun_ty_bool(conf_P373316194t_char(Pa,H_1),V_2),Ta)) ) ) ).
fof(fact_343_curryE,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(produc288369490r_bool(F_1),A),B))
=> hBOOL(hAPP_P2014166431r_bool(F_1,hAPP_e952791821t_char(produc1147572817t_char(A),B))) ) ).
fof(fact_344_curryE,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(produc95371820r_bool(F_1),A),B))
=> hBOOL(hAPP_P449474095r_bool(F_1,hAPP_l2100324114t_char(produc5062597t_char(A),B))) ) ).
fof(fact_345_curryE,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(produc886919678l_bool(F_1),A),B))
=> hBOOL(hAPP_P929938951l_bool(F_1,hAPP_v852496844al_val(product_Pair_val_val(A),B))) ) ).
fof(fact_346_curryE,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(produc1555310053l_bool(F_1),A),B))
=> hBOOL(hAPP_P943837928l_bool(F_1,hAPP_P929466802al_val(produc621191550al_val(A),B))) ) ).
fof(fact_347_curryE,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(produc1838470831l_bool(F_1),A),B))
=> hBOOL(hAPP_P71593144l_bool(F_1,hAPP_P1963616220on_val(produc379668296on_val(A),B))) ) ).
fof(fact_348_curryE,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(produc2053127004l_bool(F_1),A),B))
=> hBOOL(hAPP_P1333315679l_bool(F_1,hAPP_P658340954on_val(produc1611380469on_val(A),B))) ) ).
fof(fact_349_curryE,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(produc481748255l_bool(F_1),A),B))
=> hBOOL(hAPP_P1235399154l_bool(F_1,hAPP_f900686428on_val(produc823076510on_val(A),B))) ) ).
fof(fact_350_curryE,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(produc1911975310l_bool(F_1),A),B))
=> hBOOL(hAPP_P1708370145l_bool(F_1,hAPP_P604205461on_val(produc1259058957on_val(A),B))) ) ).
fof(fact_351_curryE,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(produc1159035454l_bool(F_1),A),B))
=> hBOOL(hAPP_P282169671l_bool(F_1,hAPP_P1886180715on_val(produc1441475159on_val(A),B))) ) ).
fof(fact_352_curryE,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(produc2062775566l_bool(F_1),A),B))
=> hBOOL(hAPP_P159683425l_bool(F_1,hAPP_f1727192346on_val(produc899768717on_val(A),B))) ) ).
fof(fact_353_curryE,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(produc550034914r_bool(F_1),A),B))
=> hBOOL(hAPP_P2118621157r_bool(F_1,hAPP_e1752110927t_char(produc1916172923t_char(A),B))) ) ).
fof(fact_354_curryE,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(produc156891095r_bool(F_1),A),B))
=> hBOOL(hAPP_P1907982426r_bool(F_1,hAPP_P1392904962t_char(produc1909267824t_char(A),B))) ) ).
fof(fact_355_curryE,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(produc1574020101r_bool(F_1),A),B))
=> hBOOL(hAPP_P92196306r_bool(F_1,hAPP_P767818445t_char(produc921874948t_char(A),B))) ) ).
fof(fact_356_curryD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(produc288369490r_bool(F_1),A),B))
=> hBOOL(hAPP_P2014166431r_bool(F_1,hAPP_e952791821t_char(produc1147572817t_char(A),B))) ) ).
fof(fact_357_curryD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(produc95371820r_bool(F_1),A),B))
=> hBOOL(hAPP_P449474095r_bool(F_1,hAPP_l2100324114t_char(produc5062597t_char(A),B))) ) ).
fof(fact_358_curryD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(produc886919678l_bool(F_1),A),B))
=> hBOOL(hAPP_P929938951l_bool(F_1,hAPP_v852496844al_val(product_Pair_val_val(A),B))) ) ).
fof(fact_359_curryD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(produc1555310053l_bool(F_1),A),B))
=> hBOOL(hAPP_P943837928l_bool(F_1,hAPP_P929466802al_val(produc621191550al_val(A),B))) ) ).
fof(fact_360_curryD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(produc1838470831l_bool(F_1),A),B))
=> hBOOL(hAPP_P71593144l_bool(F_1,hAPP_P1963616220on_val(produc379668296on_val(A),B))) ) ).
fof(fact_361_curryD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(produc2053127004l_bool(F_1),A),B))
=> hBOOL(hAPP_P1333315679l_bool(F_1,hAPP_P658340954on_val(produc1611380469on_val(A),B))) ) ).
fof(fact_362_curryD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(produc481748255l_bool(F_1),A),B))
=> hBOOL(hAPP_P1235399154l_bool(F_1,hAPP_f900686428on_val(produc823076510on_val(A),B))) ) ).
fof(fact_363_curryD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(produc1911975310l_bool(F_1),A),B))
=> hBOOL(hAPP_P1708370145l_bool(F_1,hAPP_P604205461on_val(produc1259058957on_val(A),B))) ) ).
fof(fact_364_curryD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(produc1159035454l_bool(F_1),A),B))
=> hBOOL(hAPP_P282169671l_bool(F_1,hAPP_P1886180715on_val(produc1441475159on_val(A),B))) ) ).
fof(fact_365_curryD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(produc2062775566l_bool(F_1),A),B))
=> hBOOL(hAPP_P159683425l_bool(F_1,hAPP_f1727192346on_val(produc899768717on_val(A),B))) ) ).
fof(fact_366_curryD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(produc550034914r_bool(F_1),A),B))
=> hBOOL(hAPP_P2118621157r_bool(F_1,hAPP_e1752110927t_char(produc1916172923t_char(A),B))) ) ).
fof(fact_367_curryD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(produc156891095r_bool(F_1),A),B))
=> hBOOL(hAPP_P1907982426r_bool(F_1,hAPP_P1392904962t_char(produc1909267824t_char(A),B))) ) ).
fof(fact_368_curryD,axiom,
! [F_1,A,B] :
( hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(produc1574020101r_bool(F_1),A),B))
=> hBOOL(hAPP_P92196306r_bool(F_1,hAPP_P767818445t_char(produc921874948t_char(A),B))) ) ).
fof(fact_369_red__hext__incr,axiom,
! [Ea,Ha,L_1,E_1,H_1,L_2,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(Ea),hAPP_f1727192346on_val(produc899768717on_val(Ha),L_1))),hAPP_P604205461on_val(produc1259058957on_val(E_1),hAPP_f1727192346on_val(produc899768717on_val(H_1),L_2))),red(Pa)))
=> hBOOL(hext(Ha,H_1)) ) ).
fof(fact_370_rtrancl_Ortrancl__refl,axiom,
! [A,R] : hBOOL(member1251428284t_char(hAPP_l2100324114t_char(produc5062597t_char(A),A),transi1395422419t_char(R))) ).
fof(fact_371_rtrancl_Ortrancl__refl,axiom,
! [A,R] : hBOOL(member875476972on_val(hAPP_P658340954on_val(produc1611380469on_val(A),A),transi374442731on_val(R))) ).
fof(fact_372_rtrancl_Ortrancl__refl,axiom,
! [A,R] : hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(A),A),transi2024712006on_val(R))) ).
fof(fact_373_rtrancl_Ortrancl__refl,axiom,
! [A,R] : hBOOL(member649088532al_val(hAPP_v852496844al_val(product_Pair_val_val(A),A),transi935034983cl_val(R))) ).
fof(fact_374_hext__typeof__mono,axiom,
! [V_2,Ta,Ha,H_1] :
( hBOOL(hext(Ha,H_1))
=> ( hAPP_val_option_ty(typeof_h(Ha),V_2) = hAPP_ty_option_ty(some_ty,Ta)
=> hAPP_val_option_ty(typeof_h(H_1),V_2) = hAPP_ty_option_ty(some_ty,Ta) ) ) ).
fof(fact_375_eval__hext,axiom,
! [Pa,Ea,Ha,L_1,E_1,H_1,L_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,hAPP_f1727192346on_val(produc899768717on_val(Ha),L_1)),E_1),hAPP_f1727192346on_val(produc899768717on_val(H_1),L_2)))
=> hBOOL(hext(Ha,H_1)) ) ).
fof(fact_376_hext__refl,axiom,
! [Ha] : hBOOL(hext(Ha,Ha)) ).
fof(fact_377_r__into__rtrancl,axiom,
! [P_1,R] :
( hBOOL(member1251428284t_char(P_1,R))
=> hBOOL(member1251428284t_char(P_1,transi1395422419t_char(R))) ) ).
fof(fact_378_r__into__rtrancl,axiom,
! [P_1,R] :
( hBOOL(member875476972on_val(P_1,R))
=> hBOOL(member875476972on_val(P_1,transi374442731on_val(R))) ) ).
fof(fact_379_r__into__rtrancl,axiom,
! [P_1,R] :
( hBOOL(member773094996on_val(P_1,R))
=> hBOOL(member773094996on_val(P_1,transi2024712006on_val(R))) ) ).
fof(fact_380_red__preserves__hconf,axiom,
! [E,Ta,Ea,Ha,L_1,E_1,H_1,L_2,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(Ea),hAPP_f1727192346on_val(produc899768717on_val(Ha),L_1))),hAPP_P604205461on_val(produc1259058957on_val(E_1),hAPP_f1727192346on_val(produc899768717on_val(H_1),L_2))),red(Pa)))
=> ( hBOOL(wTrt(Pa,Ha,E,Ea,Ta))
=> ( hBOOL(hconf_97414254t_char(Pa,Ha))
=> hBOOL(hconf_97414254t_char(Pa,H_1)) ) ) ) ).
fof(fact_381_eval__finalId,axiom,
! [Pa,S,Ea] :
( hBOOL(final_list_char(Ea))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S),Ea),S)) ) ).
fof(fact_382_eval__final,axiom,
! [Pa,Ea,S,E_1,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S),E_1),S_1))
=> hBOOL(final_list_char(E_1)) ) ).
fof(fact_383_red__preserves__lconf,axiom,
! [E,Ta,Ea,Ha,L_1,E_1,H_1,L_2,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(Ea),hAPP_f1727192346on_val(produc899768717on_val(Ha),L_1))),hAPP_P604205461on_val(produc1259058957on_val(E_1),hAPP_f1727192346on_val(produc899768717on_val(H_1),L_2))),red(Pa)))
=> ( hBOOL(wTrt(Pa,Ha,E,Ea,Ta))
=> ( hBOOL(lconf_496643946t_char(Pa,Ha,L_1,E))
=> hBOOL(lconf_496643946t_char(Pa,H_1,L_2,E)) ) ) ) ).
fof(fact_384_lconf__hext,axiom,
! [H_1,Pa,Ha,L_1,E] :
( hBOOL(lconf_496643946t_char(Pa,Ha,L_1,E))
=> ( hBOOL(hext(Ha,H_1))
=> hBOOL(lconf_496643946t_char(Pa,H_1,L_1,E)) ) ) ).
fof(fact_385_rtrancl__idemp,axiom,
! [R] : transi1395422419t_char(transi1395422419t_char(R)) = transi1395422419t_char(R) ).
fof(fact_386_rtrancl__idemp,axiom,
! [R] : transi374442731on_val(transi374442731on_val(R)) = transi374442731on_val(R) ).
fof(fact_387_rtrancl__idemp,axiom,
! [R] : transi2024712006on_val(transi2024712006on_val(R)) = transi2024712006on_val(R) ).
fof(fact_388_hext__trans,axiom,
! [H_3,Ha,H_1] :
( hBOOL(hext(Ha,H_1))
=> ( hBOOL(hext(H_1,H_3))
=> hBOOL(hext(Ha,H_3)) ) ) ).
fof(fact_389_converse__rtrancl__into__rtrancl,axiom,
! [C_3,A,B,R] :
( hBOOL(member1251428284t_char(hAPP_l2100324114t_char(produc5062597t_char(A),B),R))
=> ( hBOOL(member1251428284t_char(hAPP_l2100324114t_char(produc5062597t_char(B),C_3),transi1395422419t_char(R)))
=> hBOOL(member1251428284t_char(hAPP_l2100324114t_char(produc5062597t_char(A),C_3),transi1395422419t_char(R))) ) ) ).
fof(fact_390_converse__rtrancl__into__rtrancl,axiom,
! [C_3,A,B,R] :
( hBOOL(member875476972on_val(hAPP_P658340954on_val(produc1611380469on_val(A),B),R))
=> ( hBOOL(member875476972on_val(hAPP_P658340954on_val(produc1611380469on_val(B),C_3),transi374442731on_val(R)))
=> hBOOL(member875476972on_val(hAPP_P658340954on_val(produc1611380469on_val(A),C_3),transi374442731on_val(R))) ) ) ).
fof(fact_391_converse__rtrancl__into__rtrancl,axiom,
! [C_3,A,B,R] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(A),B),R))
=> ( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(B),C_3),transi2024712006on_val(R)))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(A),C_3),transi2024712006on_val(R))) ) ) ).
fof(fact_392_converse__rtrancl__into__rtrancl,axiom,
! [C_3,A,B,R] :
( hBOOL(member649088532al_val(hAPP_v852496844al_val(product_Pair_val_val(A),B),R))
=> ( hBOOL(member649088532al_val(hAPP_v852496844al_val(product_Pair_val_val(B),C_3),transi935034983cl_val(R)))
=> hBOOL(member649088532al_val(hAPP_v852496844al_val(product_Pair_val_val(A),C_3),transi935034983cl_val(R))) ) ) ).
fof(fact_393_rtrancl_Ortrancl__into__rtrancl,axiom,
! [C_3,A,B,R] :
( hBOOL(member1251428284t_char(hAPP_l2100324114t_char(produc5062597t_char(A),B),transi1395422419t_char(R)))
=> ( hBOOL(member1251428284t_char(hAPP_l2100324114t_char(produc5062597t_char(B),C_3),R))
=> hBOOL(member1251428284t_char(hAPP_l2100324114t_char(produc5062597t_char(A),C_3),transi1395422419t_char(R))) ) ) ).
fof(fact_394_rtrancl_Ortrancl__into__rtrancl,axiom,
! [C_3,A,B,R] :
( hBOOL(member875476972on_val(hAPP_P658340954on_val(produc1611380469on_val(A),B),transi374442731on_val(R)))
=> ( hBOOL(member875476972on_val(hAPP_P658340954on_val(produc1611380469on_val(B),C_3),R))
=> hBOOL(member875476972on_val(hAPP_P658340954on_val(produc1611380469on_val(A),C_3),transi374442731on_val(R))) ) ) ).
fof(fact_395_rtrancl_Ortrancl__into__rtrancl,axiom,
! [C_3,A,B,R] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(A),B),transi2024712006on_val(R)))
=> ( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(B),C_3),R))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(A),C_3),transi2024712006on_val(R))) ) ) ).
fof(fact_396_rtrancl_Ortrancl__into__rtrancl,axiom,
! [C_3,A,B,R] :
( hBOOL(member649088532al_val(hAPP_v852496844al_val(product_Pair_val_val(A),B),transi935034983cl_val(R)))
=> ( hBOOL(member649088532al_val(hAPP_v852496844al_val(product_Pair_val_val(B),C_3),R))
=> hBOOL(member649088532al_val(hAPP_v852496844al_val(product_Pair_val_val(A),C_3),transi935034983cl_val(R))) ) ) ).
fof(fact_397_rtrancl__trans,axiom,
! [C_3,A,B,R] :
( hBOOL(member1251428284t_char(hAPP_l2100324114t_char(produc5062597t_char(A),B),transi1395422419t_char(R)))
=> ( hBOOL(member1251428284t_char(hAPP_l2100324114t_char(produc5062597t_char(B),C_3),transi1395422419t_char(R)))
=> hBOOL(member1251428284t_char(hAPP_l2100324114t_char(produc5062597t_char(A),C_3),transi1395422419t_char(R))) ) ) ).
fof(fact_398_rtrancl__trans,axiom,
! [C_3,A,B,R] :
( hBOOL(member875476972on_val(hAPP_P658340954on_val(produc1611380469on_val(A),B),transi374442731on_val(R)))
=> ( hBOOL(member875476972on_val(hAPP_P658340954on_val(produc1611380469on_val(B),C_3),transi374442731on_val(R)))
=> hBOOL(member875476972on_val(hAPP_P658340954on_val(produc1611380469on_val(A),C_3),transi374442731on_val(R))) ) ) ).
fof(fact_399_rtrancl__trans,axiom,
! [C_3,A,B,R] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(A),B),transi2024712006on_val(R)))
=> ( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(B),C_3),transi2024712006on_val(R)))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(A),C_3),transi2024712006on_val(R))) ) ) ).
fof(fact_400_rtrancl__trans,axiom,
! [C_3,A,B,R] :
( hBOOL(member649088532al_val(hAPP_v852496844al_val(product_Pair_val_val(A),B),transi935034983cl_val(R)))
=> ( hBOOL(member649088532al_val(hAPP_v852496844al_val(product_Pair_val_val(B),C_3),transi935034983cl_val(R)))
=> hBOOL(member649088532al_val(hAPP_v852496844al_val(product_Pair_val_val(A),C_3),transi935034983cl_val(R))) ) ) ).
fof(fact_401_eval__cases_I2_J,axiom,
! [Pa,V_2,S,E_1,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,hAPP_v834067052t_char(val_list_char,V_2),S),E_1),S_1))
=> ~ ( E_1 = hAPP_v834067052t_char(val_list_char,V_2)
=> S_1 != S ) ) ).
fof(fact_402_Val,axiom,
! [Pa,V_2,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,hAPP_v834067052t_char(val_list_char,V_2),S),hAPP_v834067052t_char(val_list_char,V_2)),S)) ).
fof(fact_403_lconf__def,axiom,
! [Pa,Ha,L_1,E] :
( hBOOL(lconf_496643946t_char(Pa,Ha,L_1,E))
<=> ! [V_3,V_1] :
( hAPP_l207779698on_val(L_1,V_3) = hAPP_val_option_val(some_val,V_1)
=> ? [T_3] :
( hAPP_l512744617ion_ty(E,V_3) = hAPP_ty_option_ty(some_ty,T_3)
& hBOOL(hAPP_ty_bool(hAPP_val_fun_ty_bool(conf_P373316194t_char(Pa,Ha),V_1),T_3)) ) ) ) ).
fof(fact_404_converse__rtranclE2,axiom,
! [Xa_1,Xb,Za,Zb,R] :
( hBOOL(member875476972on_val(hAPP_P658340954on_val(produc1611380469on_val(hAPP_P1963616220on_val(produc379668296on_val(Xa_1),Xb)),hAPP_P1963616220on_val(produc379668296on_val(Za),Zb)),transi374442731on_val(R)))
=> ( hAPP_P1963616220on_val(produc379668296on_val(Xa_1),Xb) != hAPP_P1963616220on_val(produc379668296on_val(Za),Zb)
=> ~ ! [A_1,B_1] :
( hBOOL(member875476972on_val(hAPP_P658340954on_val(produc1611380469on_val(hAPP_P1963616220on_val(produc379668296on_val(Xa_1),Xb)),hAPP_P1963616220on_val(produc379668296on_val(A_1),B_1)),R))
=> ~ hBOOL(member875476972on_val(hAPP_P658340954on_val(produc1611380469on_val(hAPP_P1963616220on_val(produc379668296on_val(A_1),B_1)),hAPP_P1963616220on_val(produc379668296on_val(Za),Zb)),transi374442731on_val(R))) ) ) ) ).
fof(fact_405_converse__rtranclE2,axiom,
! [Xa_1,Xb,Za,Zb,R] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(Xa_1),Xb)),hAPP_P604205461on_val(produc1259058957on_val(Za),Zb)),transi2024712006on_val(R)))
=> ( hAPP_P604205461on_val(produc1259058957on_val(Xa_1),Xb) != hAPP_P604205461on_val(produc1259058957on_val(Za),Zb)
=> ~ ! [A_1,B_1] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(Xa_1),Xb)),hAPP_P604205461on_val(produc1259058957on_val(A_1),B_1)),R))
=> ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(A_1),B_1)),hAPP_P604205461on_val(produc1259058957on_val(Za),Zb)),transi2024712006on_val(R))) ) ) ) ).
fof(fact_406_converse__rtranclE2,axiom,
! [Xa_1,Xb,Za,Zb,R] :
( hBOOL(member1999287380t_char(hAPP_P1342907945t_char(produc1897818327t_char(hAPP_e952791821t_char(produc1147572817t_char(Xa_1),Xb)),hAPP_e952791821t_char(produc1147572817t_char(Za),Zb)),transi198989188t_char(R)))
=> ( hAPP_e952791821t_char(produc1147572817t_char(Xa_1),Xb) != hAPP_e952791821t_char(produc1147572817t_char(Za),Zb)
=> ~ ! [A_1,B_1] :
( hBOOL(member1999287380t_char(hAPP_P1342907945t_char(produc1897818327t_char(hAPP_e952791821t_char(produc1147572817t_char(Xa_1),Xb)),hAPP_e952791821t_char(produc1147572817t_char(A_1),B_1)),R))
=> ~ hBOOL(member1999287380t_char(hAPP_P1342907945t_char(produc1897818327t_char(hAPP_e952791821t_char(produc1147572817t_char(A_1),B_1)),hAPP_e952791821t_char(produc1147572817t_char(Za),Zb)),transi198989188t_char(R))) ) ) ) ).
fof(fact_407_converse__rtranclE2,axiom,
! [Xa_1,Xb,Za,Zb,R] :
( hBOOL(member794220506t_char(hAPP_P1657265855t_char(produc2080520419t_char(hAPP_l2100324114t_char(produc5062597t_char(Xa_1),Xb)),hAPP_l2100324114t_char(produc5062597t_char(Za),Zb)),transi1095029602t_char(R)))
=> ( hAPP_l2100324114t_char(produc5062597t_char(Xa_1),Xb) != hAPP_l2100324114t_char(produc5062597t_char(Za),Zb)
=> ~ ! [A_1,B_1] :
( hBOOL(member794220506t_char(hAPP_P1657265855t_char(produc2080520419t_char(hAPP_l2100324114t_char(produc5062597t_char(Xa_1),Xb)),hAPP_l2100324114t_char(produc5062597t_char(A_1),B_1)),R))
=> ~ hBOOL(member794220506t_char(hAPP_P1657265855t_char(produc2080520419t_char(hAPP_l2100324114t_char(produc5062597t_char(A_1),B_1)),hAPP_l2100324114t_char(produc5062597t_char(Za),Zb)),transi1095029602t_char(R))) ) ) ) ).
fof(fact_408_converse__rtranclE2,axiom,
! [Xa_1,Xb,Za,Zb,R] :
( hBOOL(member837208074al_val(hAPP_P47773639al_val(produc1244920211al_val(hAPP_v852496844al_val(product_Pair_val_val(Xa_1),Xb)),hAPP_v852496844al_val(product_Pair_val_val(Za),Zb)),transi1423755450al_val(R)))
=> ( hAPP_v852496844al_val(product_Pair_val_val(Xa_1),Xb) != hAPP_v852496844al_val(product_Pair_val_val(Za),Zb)
=> ~ ! [A_1,B_1] :
( hBOOL(member837208074al_val(hAPP_P47773639al_val(produc1244920211al_val(hAPP_v852496844al_val(product_Pair_val_val(Xa_1),Xb)),hAPP_v852496844al_val(product_Pair_val_val(A_1),B_1)),R))
=> ~ hBOOL(member837208074al_val(hAPP_P47773639al_val(produc1244920211al_val(hAPP_v852496844al_val(product_Pair_val_val(A_1),B_1)),hAPP_v852496844al_val(product_Pair_val_val(Za),Zb)),transi1423755450al_val(R))) ) ) ) ).
fof(fact_409_converse__rtranclE2,axiom,
! [Xa_1,Xb,Za,Zb,R] :
( hBOOL(member1732271180al_val(hAPP_P2123720426al_val(produc1924279125al_val(hAPP_P929466802al_val(produc621191550al_val(Xa_1),Xb)),hAPP_P929466802al_val(produc621191550al_val(Za),Zb)),transi1906258203al_val(R)))
=> ( hAPP_P929466802al_val(produc621191550al_val(Xa_1),Xb) != hAPP_P929466802al_val(produc621191550al_val(Za),Zb)
=> ~ ! [A_1,B_1] :
( is_bop(A_1)
=> ( hBOOL(member1732271180al_val(hAPP_P2123720426al_val(produc1924279125al_val(hAPP_P929466802al_val(produc621191550al_val(Xa_1),Xb)),hAPP_P929466802al_val(produc621191550al_val(A_1),B_1)),R))
=> ~ hBOOL(member1732271180al_val(hAPP_P2123720426al_val(produc1924279125al_val(hAPP_P929466802al_val(produc621191550al_val(A_1),B_1)),hAPP_P929466802al_val(produc621191550al_val(Za),Zb)),transi1906258203al_val(R))) ) ) ) ) ).
fof(fact_410_converse__rtranclE2,axiom,
! [Xa_1,Xb,Za,Zb,R] :
( hBOOL(member88670778on_val(hAPP_P1758592847on_val(produc1951691075on_val(hAPP_P658340954on_val(produc1611380469on_val(Xa_1),Xb)),hAPP_P658340954on_val(produc1611380469on_val(Za),Zb)),transi208336786on_val(R)))
=> ( hAPP_P658340954on_val(produc1611380469on_val(Xa_1),Xb) != hAPP_P658340954on_val(produc1611380469on_val(Za),Zb)
=> ~ ! [A_1,B_1] :
( hBOOL(member88670778on_val(hAPP_P1758592847on_val(produc1951691075on_val(hAPP_P658340954on_val(produc1611380469on_val(Xa_1),Xb)),hAPP_P658340954on_val(produc1611380469on_val(A_1),B_1)),R))
=> ~ hBOOL(member88670778on_val(hAPP_P1758592847on_val(produc1951691075on_val(hAPP_P658340954on_val(produc1611380469on_val(A_1),B_1)),hAPP_P658340954on_val(produc1611380469on_val(Za),Zb)),transi208336786on_val(R))) ) ) ) ).
fof(fact_411_converse__rtranclE2,axiom,
! [Xa_1,Xb,Za,Zb,R] :
( hBOOL(member1322055188on_val(hAPP_P330218428on_val(produc499151895on_val(hAPP_f900686428on_val(produc823076510on_val(Xa_1),Xb)),hAPP_f900686428on_val(produc823076510on_val(Za),Zb)),transi61620055on_val(R)))
=> ( hAPP_f900686428on_val(produc823076510on_val(Xa_1),Xb) != hAPP_f900686428on_val(produc823076510on_val(Za),Zb)
=> ~ ! [A_1,B_1] :
( hBOOL(member1322055188on_val(hAPP_P330218428on_val(produc499151895on_val(hAPP_f900686428on_val(produc823076510on_val(Xa_1),Xb)),hAPP_f900686428on_val(produc823076510on_val(A_1),B_1)),R))
=> ~ hBOOL(member1322055188on_val(hAPP_P330218428on_val(produc499151895on_val(hAPP_f900686428on_val(produc823076510on_val(A_1),B_1)),hAPP_f900686428on_val(produc823076510on_val(Za),Zb)),transi61620055on_val(R))) ) ) ) ).
fof(fact_412_converse__rtranclE2,axiom,
! [Xa_1,Xb,Za,Zb,R] :
( hBOOL(member808015754on_val(hAPP_P1486793863on_val(produc1564932627on_val(hAPP_P1886180715on_val(produc1441475159on_val(Xa_1),Xb)),hAPP_P1886180715on_val(produc1441475159on_val(Za),Zb)),transi910771962on_val(R)))
=> ( hAPP_P1886180715on_val(produc1441475159on_val(Xa_1),Xb) != hAPP_P1886180715on_val(produc1441475159on_val(Za),Zb)
=> ~ ! [A_1,B_1] :
( hBOOL(member808015754on_val(hAPP_P1486793863on_val(produc1564932627on_val(hAPP_P1886180715on_val(produc1441475159on_val(Xa_1),Xb)),hAPP_P1886180715on_val(produc1441475159on_val(A_1),B_1)),R))
=> ~ hBOOL(member808015754on_val(hAPP_P1486793863on_val(produc1564932627on_val(hAPP_P1886180715on_val(produc1441475159on_val(A_1),B_1)),hAPP_P1886180715on_val(produc1441475159on_val(Za),Zb)),transi910771962on_val(R))) ) ) ) ).
fof(fact_413_converse__rtranclE2,axiom,
! [Xa_1,Xb,Za,Zb,R] :
( hBOOL(member563141460on_val(hAPP_P291613419on_val(produc870913623on_val(hAPP_f1727192346on_val(produc899768717on_val(Xa_1),Xb)),hAPP_f1727192346on_val(produc899768717on_val(Za),Zb)),transi921647814on_val(R)))
=> ( hAPP_f1727192346on_val(produc899768717on_val(Xa_1),Xb) != hAPP_f1727192346on_val(produc899768717on_val(Za),Zb)
=> ~ ! [A_1,B_1] :
( hBOOL(member563141460on_val(hAPP_P291613419on_val(produc870913623on_val(hAPP_f1727192346on_val(produc899768717on_val(Xa_1),Xb)),hAPP_f1727192346on_val(produc899768717on_val(A_1),B_1)),R))
=> ~ hBOOL(member563141460on_val(hAPP_P291613419on_val(produc870913623on_val(hAPP_f1727192346on_val(produc899768717on_val(A_1),B_1)),hAPP_f1727192346on_val(produc899768717on_val(Za),Zb)),transi921647814on_val(R))) ) ) ) ).
fof(fact_414_converse__rtranclE2,axiom,
! [Xa_1,Xb,Za,Zb,R] :
( hBOOL(member1161907014t_char(hAPP_P1220989409t_char(produc1299387215t_char(hAPP_e1752110927t_char(produc1916172923t_char(Xa_1),Xb)),hAPP_e1752110927t_char(produc1916172923t_char(Za),Zb)),transi1789604888t_char(R)))
=> ( hAPP_e1752110927t_char(produc1916172923t_char(Xa_1),Xb) != hAPP_e1752110927t_char(produc1916172923t_char(Za),Zb)
=> ~ ! [A_1,B_1] :
( hBOOL(member1161907014t_char(hAPP_P1220989409t_char(produc1299387215t_char(hAPP_e1752110927t_char(produc1916172923t_char(Xa_1),Xb)),hAPP_e1752110927t_char(produc1916172923t_char(A_1),B_1)),R))
=> ~ hBOOL(member1161907014t_char(hAPP_P1220989409t_char(produc1299387215t_char(hAPP_e1752110927t_char(produc1916172923t_char(A_1),B_1)),hAPP_e1752110927t_char(produc1916172923t_char(Za),Zb)),transi1789604888t_char(R))) ) ) ) ).
fof(fact_415_converse__rtranclE2,axiom,
! [Xa_1,Xb,Za,Zb,R] :
( hBOOL(member125098544t_char(hAPP_P1333668416t_char(produc57279289t_char(hAPP_P1392904962t_char(produc1909267824t_char(Xa_1),Xb)),hAPP_P1392904962t_char(produc1909267824t_char(Za),Zb)),transi1257872013t_char(R)))
=> ( hAPP_P1392904962t_char(produc1909267824t_char(Xa_1),Xb) != hAPP_P1392904962t_char(produc1909267824t_char(Za),Zb)
=> ~ ! [A_1,B_1] :
( hBOOL(member125098544t_char(hAPP_P1333668416t_char(produc57279289t_char(hAPP_P1392904962t_char(produc1909267824t_char(Xa_1),Xb)),hAPP_P1392904962t_char(produc1909267824t_char(A_1),B_1)),R))
=> ~ hBOOL(member125098544t_char(hAPP_P1333668416t_char(produc57279289t_char(hAPP_P1392904962t_char(produc1909267824t_char(A_1),B_1)),hAPP_P1392904962t_char(produc1909267824t_char(Za),Zb)),transi1257872013t_char(R))) ) ) ) ).
fof(fact_416_converse__rtranclE2,axiom,
! [Xa_1,Xb,Za,Zb,R] :
( hBOOL(member1420286996t_char(hAPP_P1539798428t_char(produc24551831t_char(hAPP_P767818445t_char(produc921874948t_char(Xa_1),Xb)),hAPP_P767818445t_char(produc921874948t_char(Za),Zb)),transi122195895t_char(R)))
=> ( hAPP_P767818445t_char(produc921874948t_char(Xa_1),Xb) != hAPP_P767818445t_char(produc921874948t_char(Za),Zb)
=> ~ ! [A_1,B_1] :
( hBOOL(member1420286996t_char(hAPP_P1539798428t_char(produc24551831t_char(hAPP_P767818445t_char(produc921874948t_char(Xa_1),Xb)),hAPP_P767818445t_char(produc921874948t_char(A_1),B_1)),R))
=> ~ hBOOL(member1420286996t_char(hAPP_P1539798428t_char(produc24551831t_char(hAPP_P767818445t_char(produc921874948t_char(A_1),B_1)),hAPP_P767818445t_char(produc921874948t_char(Za),Zb)),transi122195895t_char(R))) ) ) ) ).
fof(fact_417_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R] :
( hBOOL(member875476972on_val(hAPP_P658340954on_val(produc1611380469on_val(hAPP_P1963616220on_val(produc379668296on_val(Ax),Ay)),hAPP_P1963616220on_val(produc379668296on_val(Bx),By)),transi374442731on_val(R)))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,Bx),By))
=> ( ! [A_1,B_1,Aa,Ba] :
( hBOOL(member875476972on_val(hAPP_P658340954on_val(produc1611380469on_val(hAPP_P1963616220on_val(produc379668296on_val(A_1),B_1)),hAPP_P1963616220on_val(produc379668296on_val(Aa),Ba)),R))
=> ( hBOOL(member875476972on_val(hAPP_P658340954on_val(produc1611380469on_val(hAPP_P1963616220on_val(produc379668296on_val(Aa),Ba)),hAPP_P1963616220on_val(produc379668296on_val(Bx),By)),transi374442731on_val(R)))
=> ( 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_418_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(Ax),Ay)),hAPP_P604205461on_val(produc1259058957on_val(Bx),By)),transi2024712006on_val(R)))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,Bx),By))
=> ( ! [A_1,B_1,Aa,Ba] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(A_1),B_1)),hAPP_P604205461on_val(produc1259058957on_val(Aa),Ba)),R))
=> ( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(Aa),Ba)),hAPP_P604205461on_val(produc1259058957on_val(Bx),By)),transi2024712006on_val(R)))
=> ( 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_419_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R] :
( hBOOL(member1999287380t_char(hAPP_P1342907945t_char(produc1897818327t_char(hAPP_e952791821t_char(produc1147572817t_char(Ax),Ay)),hAPP_e952791821t_char(produc1147572817t_char(Bx),By)),transi198989188t_char(R)))
=> ( hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(Pa,Bx),By))
=> ( ! [A_1,B_1,Aa,Ba] :
( hBOOL(member1999287380t_char(hAPP_P1342907945t_char(produc1897818327t_char(hAPP_e952791821t_char(produc1147572817t_char(A_1),B_1)),hAPP_e952791821t_char(produc1147572817t_char(Aa),Ba)),R))
=> ( hBOOL(member1999287380t_char(hAPP_P1342907945t_char(produc1897818327t_char(hAPP_e952791821t_char(produc1147572817t_char(Aa),Ba)),hAPP_e952791821t_char(produc1147572817t_char(Bx),By)),transi198989188t_char(R)))
=> ( 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_420_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R] :
( hBOOL(member794220506t_char(hAPP_P1657265855t_char(produc2080520419t_char(hAPP_l2100324114t_char(produc5062597t_char(Ax),Ay)),hAPP_l2100324114t_char(produc5062597t_char(Bx),By)),transi1095029602t_char(R)))
=> ( hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(Pa,Bx),By))
=> ( ! [A_1,B_1,Aa,Ba] :
( hBOOL(member794220506t_char(hAPP_P1657265855t_char(produc2080520419t_char(hAPP_l2100324114t_char(produc5062597t_char(A_1),B_1)),hAPP_l2100324114t_char(produc5062597t_char(Aa),Ba)),R))
=> ( hBOOL(member794220506t_char(hAPP_P1657265855t_char(produc2080520419t_char(hAPP_l2100324114t_char(produc5062597t_char(Aa),Ba)),hAPP_l2100324114t_char(produc5062597t_char(Bx),By)),transi1095029602t_char(R)))
=> ( 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_421_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R] :
( hBOOL(member837208074al_val(hAPP_P47773639al_val(produc1244920211al_val(hAPP_v852496844al_val(product_Pair_val_val(Ax),Ay)),hAPP_v852496844al_val(product_Pair_val_val(Bx),By)),transi1423755450al_val(R)))
=> ( hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(Pa,Bx),By))
=> ( ! [A_1,B_1,Aa,Ba] :
( hBOOL(member837208074al_val(hAPP_P47773639al_val(produc1244920211al_val(hAPP_v852496844al_val(product_Pair_val_val(A_1),B_1)),hAPP_v852496844al_val(product_Pair_val_val(Aa),Ba)),R))
=> ( hBOOL(member837208074al_val(hAPP_P47773639al_val(produc1244920211al_val(hAPP_v852496844al_val(product_Pair_val_val(Aa),Ba)),hAPP_v852496844al_val(product_Pair_val_val(Bx),By)),transi1423755450al_val(R)))
=> ( 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_422_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R] :
( hBOOL(member1732271180al_val(hAPP_P2123720426al_val(produc1924279125al_val(hAPP_P929466802al_val(produc621191550al_val(Ax),Ay)),hAPP_P929466802al_val(produc621191550al_val(Bx),By)),transi1906258203al_val(R)))
=> ( hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(Pa,Bx),By))
=> ( ! [A_1,B_1,Aa,Ba] :
( ( is_bop(A_1)
& is_bop(Aa) )
=> ( hBOOL(member1732271180al_val(hAPP_P2123720426al_val(produc1924279125al_val(hAPP_P929466802al_val(produc621191550al_val(A_1),B_1)),hAPP_P929466802al_val(produc621191550al_val(Aa),Ba)),R))
=> ( hBOOL(member1732271180al_val(hAPP_P2123720426al_val(produc1924279125al_val(hAPP_P929466802al_val(produc621191550al_val(Aa),Ba)),hAPP_P929466802al_val(produc621191550al_val(Bx),By)),transi1906258203al_val(R)))
=> ( 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_423_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R] :
( hBOOL(member88670778on_val(hAPP_P1758592847on_val(produc1951691075on_val(hAPP_P658340954on_val(produc1611380469on_val(Ax),Ay)),hAPP_P658340954on_val(produc1611380469on_val(Bx),By)),transi208336786on_val(R)))
=> ( hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,Bx),By))
=> ( ! [A_1,B_1,Aa,Ba] :
( hBOOL(member88670778on_val(hAPP_P1758592847on_val(produc1951691075on_val(hAPP_P658340954on_val(produc1611380469on_val(A_1),B_1)),hAPP_P658340954on_val(produc1611380469on_val(Aa),Ba)),R))
=> ( hBOOL(member88670778on_val(hAPP_P1758592847on_val(produc1951691075on_val(hAPP_P658340954on_val(produc1611380469on_val(Aa),Ba)),hAPP_P658340954on_val(produc1611380469on_val(Bx),By)),transi208336786on_val(R)))
=> ( 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_424_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R] :
( hBOOL(member1322055188on_val(hAPP_P330218428on_val(produc499151895on_val(hAPP_f900686428on_val(produc823076510on_val(Ax),Ay)),hAPP_f900686428on_val(produc823076510on_val(Bx),By)),transi61620055on_val(R)))
=> ( hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(Pa,Bx),By))
=> ( ! [A_1,B_1,Aa,Ba] :
( hBOOL(member1322055188on_val(hAPP_P330218428on_val(produc499151895on_val(hAPP_f900686428on_val(produc823076510on_val(A_1),B_1)),hAPP_f900686428on_val(produc823076510on_val(Aa),Ba)),R))
=> ( hBOOL(member1322055188on_val(hAPP_P330218428on_val(produc499151895on_val(hAPP_f900686428on_val(produc823076510on_val(Aa),Ba)),hAPP_f900686428on_val(produc823076510on_val(Bx),By)),transi61620055on_val(R)))
=> ( 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_425_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R] :
( hBOOL(member808015754on_val(hAPP_P1486793863on_val(produc1564932627on_val(hAPP_P1886180715on_val(produc1441475159on_val(Ax),Ay)),hAPP_P1886180715on_val(produc1441475159on_val(Bx),By)),transi910771962on_val(R)))
=> ( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,Bx),By))
=> ( ! [A_1,B_1,Aa,Ba] :
( hBOOL(member808015754on_val(hAPP_P1486793863on_val(produc1564932627on_val(hAPP_P1886180715on_val(produc1441475159on_val(A_1),B_1)),hAPP_P1886180715on_val(produc1441475159on_val(Aa),Ba)),R))
=> ( hBOOL(member808015754on_val(hAPP_P1486793863on_val(produc1564932627on_val(hAPP_P1886180715on_val(produc1441475159on_val(Aa),Ba)),hAPP_P1886180715on_val(produc1441475159on_val(Bx),By)),transi910771962on_val(R)))
=> ( 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_426_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R] :
( hBOOL(member563141460on_val(hAPP_P291613419on_val(produc870913623on_val(hAPP_f1727192346on_val(produc899768717on_val(Ax),Ay)),hAPP_f1727192346on_val(produc899768717on_val(Bx),By)),transi921647814on_val(R)))
=> ( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,Bx),By))
=> ( ! [A_1,B_1,Aa,Ba] :
( hBOOL(member563141460on_val(hAPP_P291613419on_val(produc870913623on_val(hAPP_f1727192346on_val(produc899768717on_val(A_1),B_1)),hAPP_f1727192346on_val(produc899768717on_val(Aa),Ba)),R))
=> ( hBOOL(member563141460on_val(hAPP_P291613419on_val(produc870913623on_val(hAPP_f1727192346on_val(produc899768717on_val(Aa),Ba)),hAPP_f1727192346on_val(produc899768717on_val(Bx),By)),transi921647814on_val(R)))
=> ( 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_427_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R] :
( hBOOL(member1161907014t_char(hAPP_P1220989409t_char(produc1299387215t_char(hAPP_e1752110927t_char(produc1916172923t_char(Ax),Ay)),hAPP_e1752110927t_char(produc1916172923t_char(Bx),By)),transi1789604888t_char(R)))
=> ( hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(Pa,Bx),By))
=> ( ! [A_1,B_1,Aa,Ba] :
( hBOOL(member1161907014t_char(hAPP_P1220989409t_char(produc1299387215t_char(hAPP_e1752110927t_char(produc1916172923t_char(A_1),B_1)),hAPP_e1752110927t_char(produc1916172923t_char(Aa),Ba)),R))
=> ( hBOOL(member1161907014t_char(hAPP_P1220989409t_char(produc1299387215t_char(hAPP_e1752110927t_char(produc1916172923t_char(Aa),Ba)),hAPP_e1752110927t_char(produc1916172923t_char(Bx),By)),transi1789604888t_char(R)))
=> ( 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_428_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R] :
( hBOOL(member125098544t_char(hAPP_P1333668416t_char(produc57279289t_char(hAPP_P1392904962t_char(produc1909267824t_char(Ax),Ay)),hAPP_P1392904962t_char(produc1909267824t_char(Bx),By)),transi1257872013t_char(R)))
=> ( hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(Pa,Bx),By))
=> ( ! [A_1,B_1,Aa,Ba] :
( hBOOL(member125098544t_char(hAPP_P1333668416t_char(produc57279289t_char(hAPP_P1392904962t_char(produc1909267824t_char(A_1),B_1)),hAPP_P1392904962t_char(produc1909267824t_char(Aa),Ba)),R))
=> ( hBOOL(member125098544t_char(hAPP_P1333668416t_char(produc57279289t_char(hAPP_P1392904962t_char(produc1909267824t_char(Aa),Ba)),hAPP_P1392904962t_char(produc1909267824t_char(Bx),By)),transi1257872013t_char(R)))
=> ( 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_429_converse__rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R] :
( hBOOL(member1420286996t_char(hAPP_P1539798428t_char(produc24551831t_char(hAPP_P767818445t_char(produc921874948t_char(Ax),Ay)),hAPP_P767818445t_char(produc921874948t_char(Bx),By)),transi122195895t_char(R)))
=> ( hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(Pa,Bx),By))
=> ( ! [A_1,B_1,Aa,Ba] :
( hBOOL(member1420286996t_char(hAPP_P1539798428t_char(produc24551831t_char(hAPP_P767818445t_char(produc921874948t_char(A_1),B_1)),hAPP_P767818445t_char(produc921874948t_char(Aa),Ba)),R))
=> ( hBOOL(member1420286996t_char(hAPP_P1539798428t_char(produc24551831t_char(hAPP_P767818445t_char(produc921874948t_char(Aa),Ba)),hAPP_P767818445t_char(produc921874948t_char(Bx),By)),transi122195895t_char(R)))
=> ( 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_430_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R] :
( hBOOL(member875476972on_val(hAPP_P658340954on_val(produc1611380469on_val(hAPP_P1963616220on_val(produc379668296on_val(Ax),Ay)),hAPP_P1963616220on_val(produc379668296on_val(Bx),By)),transi374442731on_val(R)))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(Pa,Ax),Ay))
=> ( ! [A_1,B_1,Aa,Ba] :
( hBOOL(member875476972on_val(hAPP_P658340954on_val(produc1611380469on_val(hAPP_P1963616220on_val(produc379668296on_val(Ax),Ay)),hAPP_P1963616220on_val(produc379668296on_val(A_1),B_1)),transi374442731on_val(R)))
=> ( hBOOL(member875476972on_val(hAPP_P658340954on_val(produc1611380469on_val(hAPP_P1963616220on_val(produc379668296on_val(A_1),B_1)),hAPP_P1963616220on_val(produc379668296on_val(Aa),Ba)),R))
=> ( 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_431_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(Ax),Ay)),hAPP_P604205461on_val(produc1259058957on_val(Bx),By)),transi2024712006on_val(R)))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(Pa,Ax),Ay))
=> ( ! [A_1,B_1,Aa,Ba] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(Ax),Ay)),hAPP_P604205461on_val(produc1259058957on_val(A_1),B_1)),transi2024712006on_val(R)))
=> ( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(A_1),B_1)),hAPP_P604205461on_val(produc1259058957on_val(Aa),Ba)),R))
=> ( 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_432_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R] :
( hBOOL(member1999287380t_char(hAPP_P1342907945t_char(produc1897818327t_char(hAPP_e952791821t_char(produc1147572817t_char(Ax),Ay)),hAPP_e952791821t_char(produc1147572817t_char(Bx),By)),transi198989188t_char(R)))
=> ( hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(Pa,Ax),Ay))
=> ( ! [A_1,B_1,Aa,Ba] :
( hBOOL(member1999287380t_char(hAPP_P1342907945t_char(produc1897818327t_char(hAPP_e952791821t_char(produc1147572817t_char(Ax),Ay)),hAPP_e952791821t_char(produc1147572817t_char(A_1),B_1)),transi198989188t_char(R)))
=> ( hBOOL(member1999287380t_char(hAPP_P1342907945t_char(produc1897818327t_char(hAPP_e952791821t_char(produc1147572817t_char(A_1),B_1)),hAPP_e952791821t_char(produc1147572817t_char(Aa),Ba)),R))
=> ( 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_433_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R] :
( hBOOL(member794220506t_char(hAPP_P1657265855t_char(produc2080520419t_char(hAPP_l2100324114t_char(produc5062597t_char(Ax),Ay)),hAPP_l2100324114t_char(produc5062597t_char(Bx),By)),transi1095029602t_char(R)))
=> ( hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(Pa,Ax),Ay))
=> ( ! [A_1,B_1,Aa,Ba] :
( hBOOL(member794220506t_char(hAPP_P1657265855t_char(produc2080520419t_char(hAPP_l2100324114t_char(produc5062597t_char(Ax),Ay)),hAPP_l2100324114t_char(produc5062597t_char(A_1),B_1)),transi1095029602t_char(R)))
=> ( hBOOL(member794220506t_char(hAPP_P1657265855t_char(produc2080520419t_char(hAPP_l2100324114t_char(produc5062597t_char(A_1),B_1)),hAPP_l2100324114t_char(produc5062597t_char(Aa),Ba)),R))
=> ( 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_434_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R] :
( hBOOL(member837208074al_val(hAPP_P47773639al_val(produc1244920211al_val(hAPP_v852496844al_val(product_Pair_val_val(Ax),Ay)),hAPP_v852496844al_val(product_Pair_val_val(Bx),By)),transi1423755450al_val(R)))
=> ( hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(Pa,Ax),Ay))
=> ( ! [A_1,B_1,Aa,Ba] :
( hBOOL(member837208074al_val(hAPP_P47773639al_val(produc1244920211al_val(hAPP_v852496844al_val(product_Pair_val_val(Ax),Ay)),hAPP_v852496844al_val(product_Pair_val_val(A_1),B_1)),transi1423755450al_val(R)))
=> ( hBOOL(member837208074al_val(hAPP_P47773639al_val(produc1244920211al_val(hAPP_v852496844al_val(product_Pair_val_val(A_1),B_1)),hAPP_v852496844al_val(product_Pair_val_val(Aa),Ba)),R))
=> ( 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_435_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R] :
( hBOOL(member1732271180al_val(hAPP_P2123720426al_val(produc1924279125al_val(hAPP_P929466802al_val(produc621191550al_val(Ax),Ay)),hAPP_P929466802al_val(produc621191550al_val(Bx),By)),transi1906258203al_val(R)))
=> ( hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(Pa,Ax),Ay))
=> ( ! [A_1,B_1,Aa,Ba] :
( ( is_bop(A_1)
& is_bop(Aa) )
=> ( hBOOL(member1732271180al_val(hAPP_P2123720426al_val(produc1924279125al_val(hAPP_P929466802al_val(produc621191550al_val(Ax),Ay)),hAPP_P929466802al_val(produc621191550al_val(A_1),B_1)),transi1906258203al_val(R)))
=> ( hBOOL(member1732271180al_val(hAPP_P2123720426al_val(produc1924279125al_val(hAPP_P929466802al_val(produc621191550al_val(A_1),B_1)),hAPP_P929466802al_val(produc621191550al_val(Aa),Ba)),R))
=> ( 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_436_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R] :
( hBOOL(member88670778on_val(hAPP_P1758592847on_val(produc1951691075on_val(hAPP_P658340954on_val(produc1611380469on_val(Ax),Ay)),hAPP_P658340954on_val(produc1611380469on_val(Bx),By)),transi208336786on_val(R)))
=> ( hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(Pa,Ax),Ay))
=> ( ! [A_1,B_1,Aa,Ba] :
( hBOOL(member88670778on_val(hAPP_P1758592847on_val(produc1951691075on_val(hAPP_P658340954on_val(produc1611380469on_val(Ax),Ay)),hAPP_P658340954on_val(produc1611380469on_val(A_1),B_1)),transi208336786on_val(R)))
=> ( hBOOL(member88670778on_val(hAPP_P1758592847on_val(produc1951691075on_val(hAPP_P658340954on_val(produc1611380469on_val(A_1),B_1)),hAPP_P658340954on_val(produc1611380469on_val(Aa),Ba)),R))
=> ( 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_437_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R] :
( hBOOL(member1322055188on_val(hAPP_P330218428on_val(produc499151895on_val(hAPP_f900686428on_val(produc823076510on_val(Ax),Ay)),hAPP_f900686428on_val(produc823076510on_val(Bx),By)),transi61620055on_val(R)))
=> ( hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(Pa,Ax),Ay))
=> ( ! [A_1,B_1,Aa,Ba] :
( hBOOL(member1322055188on_val(hAPP_P330218428on_val(produc499151895on_val(hAPP_f900686428on_val(produc823076510on_val(Ax),Ay)),hAPP_f900686428on_val(produc823076510on_val(A_1),B_1)),transi61620055on_val(R)))
=> ( hBOOL(member1322055188on_val(hAPP_P330218428on_val(produc499151895on_val(hAPP_f900686428on_val(produc823076510on_val(A_1),B_1)),hAPP_f900686428on_val(produc823076510on_val(Aa),Ba)),R))
=> ( 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_438_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R] :
( hBOOL(member808015754on_val(hAPP_P1486793863on_val(produc1564932627on_val(hAPP_P1886180715on_val(produc1441475159on_val(Ax),Ay)),hAPP_P1886180715on_val(produc1441475159on_val(Bx),By)),transi910771962on_val(R)))
=> ( hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(Pa,Ax),Ay))
=> ( ! [A_1,B_1,Aa,Ba] :
( hBOOL(member808015754on_val(hAPP_P1486793863on_val(produc1564932627on_val(hAPP_P1886180715on_val(produc1441475159on_val(Ax),Ay)),hAPP_P1886180715on_val(produc1441475159on_val(A_1),B_1)),transi910771962on_val(R)))
=> ( hBOOL(member808015754on_val(hAPP_P1486793863on_val(produc1564932627on_val(hAPP_P1886180715on_val(produc1441475159on_val(A_1),B_1)),hAPP_P1886180715on_val(produc1441475159on_val(Aa),Ba)),R))
=> ( 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_439_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R] :
( hBOOL(member563141460on_val(hAPP_P291613419on_val(produc870913623on_val(hAPP_f1727192346on_val(produc899768717on_val(Ax),Ay)),hAPP_f1727192346on_val(produc899768717on_val(Bx),By)),transi921647814on_val(R)))
=> ( hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(Pa,Ax),Ay))
=> ( ! [A_1,B_1,Aa,Ba] :
( hBOOL(member563141460on_val(hAPP_P291613419on_val(produc870913623on_val(hAPP_f1727192346on_val(produc899768717on_val(Ax),Ay)),hAPP_f1727192346on_val(produc899768717on_val(A_1),B_1)),transi921647814on_val(R)))
=> ( hBOOL(member563141460on_val(hAPP_P291613419on_val(produc870913623on_val(hAPP_f1727192346on_val(produc899768717on_val(A_1),B_1)),hAPP_f1727192346on_val(produc899768717on_val(Aa),Ba)),R))
=> ( 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_440_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R] :
( hBOOL(member1161907014t_char(hAPP_P1220989409t_char(produc1299387215t_char(hAPP_e1752110927t_char(produc1916172923t_char(Ax),Ay)),hAPP_e1752110927t_char(produc1916172923t_char(Bx),By)),transi1789604888t_char(R)))
=> ( hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(Pa,Ax),Ay))
=> ( ! [A_1,B_1,Aa,Ba] :
( hBOOL(member1161907014t_char(hAPP_P1220989409t_char(produc1299387215t_char(hAPP_e1752110927t_char(produc1916172923t_char(Ax),Ay)),hAPP_e1752110927t_char(produc1916172923t_char(A_1),B_1)),transi1789604888t_char(R)))
=> ( hBOOL(member1161907014t_char(hAPP_P1220989409t_char(produc1299387215t_char(hAPP_e1752110927t_char(produc1916172923t_char(A_1),B_1)),hAPP_e1752110927t_char(produc1916172923t_char(Aa),Ba)),R))
=> ( 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_441_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R] :
( hBOOL(member125098544t_char(hAPP_P1333668416t_char(produc57279289t_char(hAPP_P1392904962t_char(produc1909267824t_char(Ax),Ay)),hAPP_P1392904962t_char(produc1909267824t_char(Bx),By)),transi1257872013t_char(R)))
=> ( hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(Pa,Ax),Ay))
=> ( ! [A_1,B_1,Aa,Ba] :
( hBOOL(member125098544t_char(hAPP_P1333668416t_char(produc57279289t_char(hAPP_P1392904962t_char(produc1909267824t_char(Ax),Ay)),hAPP_P1392904962t_char(produc1909267824t_char(A_1),B_1)),transi1257872013t_char(R)))
=> ( hBOOL(member125098544t_char(hAPP_P1333668416t_char(produc57279289t_char(hAPP_P1392904962t_char(produc1909267824t_char(A_1),B_1)),hAPP_P1392904962t_char(produc1909267824t_char(Aa),Ba)),R))
=> ( 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_442_rtrancl__induct2,axiom,
! [Pa,Ax,Ay,Bx,By,R] :
( hBOOL(member1420286996t_char(hAPP_P1539798428t_char(produc24551831t_char(hAPP_P767818445t_char(produc921874948t_char(Ax),Ay)),hAPP_P767818445t_char(produc921874948t_char(Bx),By)),transi122195895t_char(R)))
=> ( hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(Pa,Ax),Ay))
=> ( ! [A_1,B_1,Aa,Ba] :
( hBOOL(member1420286996t_char(hAPP_P1539798428t_char(produc24551831t_char(hAPP_P767818445t_char(produc921874948t_char(Ax),Ay)),hAPP_P767818445t_char(produc921874948t_char(A_1),B_1)),transi122195895t_char(R)))
=> ( hBOOL(member1420286996t_char(hAPP_P1539798428t_char(produc24551831t_char(hAPP_P767818445t_char(produc921874948t_char(A_1),B_1)),hAPP_P767818445t_char(produc921874948t_char(Aa),Ba)),R))
=> ( 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_443_rtranclE,axiom,
! [A,B,R] :
( hBOOL(member1251428284t_char(hAPP_l2100324114t_char(produc5062597t_char(A),B),transi1395422419t_char(R)))
=> ( A != B
=> ~ ! [Y_1] :
( hBOOL(member1251428284t_char(hAPP_l2100324114t_char(produc5062597t_char(A),Y_1),transi1395422419t_char(R)))
=> ~ hBOOL(member1251428284t_char(hAPP_l2100324114t_char(produc5062597t_char(Y_1),B),R)) ) ) ) ).
fof(fact_444_rtranclE,axiom,
! [A,B,R] :
( hBOOL(member875476972on_val(hAPP_P658340954on_val(produc1611380469on_val(A),B),transi374442731on_val(R)))
=> ( A != B
=> ~ ! [Y_1] :
( hBOOL(member875476972on_val(hAPP_P658340954on_val(produc1611380469on_val(A),Y_1),transi374442731on_val(R)))
=> ~ hBOOL(member875476972on_val(hAPP_P658340954on_val(produc1611380469on_val(Y_1),B),R)) ) ) ) ).
fof(fact_445_rtranclE,axiom,
! [A,B,R] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(A),B),transi2024712006on_val(R)))
=> ( A != B
=> ~ ! [Y_1] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(A),Y_1),transi2024712006on_val(R)))
=> ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(Y_1),B),R)) ) ) ) ).
fof(fact_446_rtranclE,axiom,
! [A,B,R] :
( hBOOL(member649088532al_val(hAPP_v852496844al_val(product_Pair_val_val(A),B),transi935034983cl_val(R)))
=> ( A != B
=> ~ ! [Y_1] :
( hBOOL(member649088532al_val(hAPP_v852496844al_val(product_Pair_val_val(A),Y_1),transi935034983cl_val(R)))
=> ~ hBOOL(member649088532al_val(hAPP_v852496844al_val(product_Pair_val_val(Y_1),B),R)) ) ) ) ).
fof(fact_447_converse__rtranclE,axiom,
! [X_1,Z_1,R] :
( hBOOL(member1251428284t_char(hAPP_l2100324114t_char(produc5062597t_char(X_1),Z_1),transi1395422419t_char(R)))
=> ( X_1 != Z_1
=> ~ ! [Y_1] :
( hBOOL(member1251428284t_char(hAPP_l2100324114t_char(produc5062597t_char(X_1),Y_1),R))
=> ~ hBOOL(member1251428284t_char(hAPP_l2100324114t_char(produc5062597t_char(Y_1),Z_1),transi1395422419t_char(R))) ) ) ) ).
fof(fact_448_converse__rtranclE,axiom,
! [X_1,Z_1,R] :
( hBOOL(member875476972on_val(hAPP_P658340954on_val(produc1611380469on_val(X_1),Z_1),transi374442731on_val(R)))
=> ( X_1 != Z_1
=> ~ ! [Y_1] :
( hBOOL(member875476972on_val(hAPP_P658340954on_val(produc1611380469on_val(X_1),Y_1),R))
=> ~ hBOOL(member875476972on_val(hAPP_P658340954on_val(produc1611380469on_val(Y_1),Z_1),transi374442731on_val(R))) ) ) ) ).
fof(fact_449_converse__rtranclE,axiom,
! [X_1,Z_1,R] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(X_1),Z_1),transi2024712006on_val(R)))
=> ( X_1 != Z_1
=> ~ ! [Y_1] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(X_1),Y_1),R))
=> ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(Y_1),Z_1),transi2024712006on_val(R))) ) ) ) ).
fof(fact_450_converse__rtranclE,axiom,
! [X_1,Z_1,R] :
( hBOOL(member649088532al_val(hAPP_v852496844al_val(product_Pair_val_val(X_1),Z_1),transi935034983cl_val(R)))
=> ( X_1 != Z_1
=> ~ ! [Y_1] :
( hBOOL(member649088532al_val(hAPP_v852496844al_val(product_Pair_val_val(X_1),Y_1),R))
=> ~ hBOOL(member649088532al_val(hAPP_v852496844al_val(product_Pair_val_val(Y_1),Z_1),transi935034983cl_val(R))) ) ) ) ).
fof(fact_451_converse__rtrancl__induct,axiom,
! [Pa,A,B,R] :
( hBOOL(member1251428284t_char(hAPP_l2100324114t_char(produc5062597t_char(A),B),transi1395422419t_char(R)))
=> ( hBOOL(hAPP_list_char_bool(Pa,B))
=> ( ! [Y_1,Z] :
( hBOOL(member1251428284t_char(hAPP_l2100324114t_char(produc5062597t_char(Y_1),Z),R))
=> ( hBOOL(member1251428284t_char(hAPP_l2100324114t_char(produc5062597t_char(Z),B),transi1395422419t_char(R)))
=> ( hBOOL(hAPP_list_char_bool(Pa,Z))
=> hBOOL(hAPP_list_char_bool(Pa,Y_1)) ) ) )
=> hBOOL(hAPP_list_char_bool(Pa,A)) ) ) ) ).
fof(fact_452_converse__rtrancl__induct,axiom,
! [Pa,A,B,R] :
( hBOOL(member875476972on_val(hAPP_P658340954on_val(produc1611380469on_val(A),B),transi374442731on_val(R)))
=> ( hBOOL(hAPP_P71593144l_bool(Pa,B))
=> ( ! [Y_1,Z] :
( hBOOL(member875476972on_val(hAPP_P658340954on_val(produc1611380469on_val(Y_1),Z),R))
=> ( hBOOL(member875476972on_val(hAPP_P658340954on_val(produc1611380469on_val(Z),B),transi374442731on_val(R)))
=> ( hBOOL(hAPP_P71593144l_bool(Pa,Z))
=> hBOOL(hAPP_P71593144l_bool(Pa,Y_1)) ) ) )
=> hBOOL(hAPP_P71593144l_bool(Pa,A)) ) ) ) ).
fof(fact_453_converse__rtrancl__induct,axiom,
! [Pa,A,B,R] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(A),B),transi2024712006on_val(R)))
=> ( hBOOL(hAPP_P1708370145l_bool(Pa,B))
=> ( ! [Y_1,Z] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(Y_1),Z),R))
=> ( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(Z),B),transi2024712006on_val(R)))
=> ( hBOOL(hAPP_P1708370145l_bool(Pa,Z))
=> hBOOL(hAPP_P1708370145l_bool(Pa,Y_1)) ) ) )
=> hBOOL(hAPP_P1708370145l_bool(Pa,A)) ) ) ) ).
fof(fact_454_converse__rtrancl__induct,axiom,
! [Pa,A,B,R] :
( hBOOL(member649088532al_val(hAPP_v852496844al_val(product_Pair_val_val(A),B),transi935034983cl_val(R)))
=> ( hBOOL(hAPP_val_bool(Pa,B))
=> ( ! [Y_1,Z] :
( hBOOL(member649088532al_val(hAPP_v852496844al_val(product_Pair_val_val(Y_1),Z),R))
=> ( hBOOL(member649088532al_val(hAPP_v852496844al_val(product_Pair_val_val(Z),B),transi935034983cl_val(R)))
=> ( hBOOL(hAPP_val_bool(Pa,Z))
=> hBOOL(hAPP_val_bool(Pa,Y_1)) ) ) )
=> hBOOL(hAPP_val_bool(Pa,A)) ) ) ) ).
fof(fact_455_mem__def,axiom,
! [X_1,A_2] :
( hBOOL(member1251428284t_char(X_1,A_2))
<=> hBOOL(hAPP_P449474095r_bool(A_2,X_1)) ) ).
fof(fact_456_mem__def,axiom,
! [X_1,A_2] :
( hBOOL(member875476972on_val(X_1,A_2))
<=> hBOOL(hAPP_P1333315679l_bool(A_2,X_1)) ) ).
fof(fact_457_mem__def,axiom,
! [X_1,A_2] :
( hBOOL(member773094996on_val(X_1,A_2))
<=> hBOOL(hAPP_P282169671l_bool(A_2,X_1)) ) ).
fof(fact_458_rtrancl__induct,axiom,
! [Pa,A,B,R] :
( hBOOL(member1251428284t_char(hAPP_l2100324114t_char(produc5062597t_char(A),B),transi1395422419t_char(R)))
=> ( hBOOL(hAPP_list_char_bool(Pa,A))
=> ( ! [Y_1,Z] :
( hBOOL(member1251428284t_char(hAPP_l2100324114t_char(produc5062597t_char(A),Y_1),transi1395422419t_char(R)))
=> ( hBOOL(member1251428284t_char(hAPP_l2100324114t_char(produc5062597t_char(Y_1),Z),R))
=> ( hBOOL(hAPP_list_char_bool(Pa,Y_1))
=> hBOOL(hAPP_list_char_bool(Pa,Z)) ) ) )
=> hBOOL(hAPP_list_char_bool(Pa,B)) ) ) ) ).
fof(fact_459_rtrancl__induct,axiom,
! [Pa,A,B,R] :
( hBOOL(member875476972on_val(hAPP_P658340954on_val(produc1611380469on_val(A),B),transi374442731on_val(R)))
=> ( hBOOL(hAPP_P71593144l_bool(Pa,A))
=> ( ! [Y_1,Z] :
( hBOOL(member875476972on_val(hAPP_P658340954on_val(produc1611380469on_val(A),Y_1),transi374442731on_val(R)))
=> ( hBOOL(member875476972on_val(hAPP_P658340954on_val(produc1611380469on_val(Y_1),Z),R))
=> ( hBOOL(hAPP_P71593144l_bool(Pa,Y_1))
=> hBOOL(hAPP_P71593144l_bool(Pa,Z)) ) ) )
=> hBOOL(hAPP_P71593144l_bool(Pa,B)) ) ) ) ).
fof(fact_460_rtrancl__induct,axiom,
! [Pa,A,B,R] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(A),B),transi2024712006on_val(R)))
=> ( hBOOL(hAPP_P1708370145l_bool(Pa,A))
=> ( ! [Y_1,Z] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(A),Y_1),transi2024712006on_val(R)))
=> ( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(Y_1),Z),R))
=> ( hBOOL(hAPP_P1708370145l_bool(Pa,Y_1))
=> hBOOL(hAPP_P1708370145l_bool(Pa,Z)) ) ) )
=> hBOOL(hAPP_P1708370145l_bool(Pa,B)) ) ) ) ).
fof(fact_461_rtrancl__induct,axiom,
! [Pa,A,B,R] :
( hBOOL(member649088532al_val(hAPP_v852496844al_val(product_Pair_val_val(A),B),transi935034983cl_val(R)))
=> ( hBOOL(hAPP_val_bool(Pa,A))
=> ( ! [Y_1,Z] :
( hBOOL(member649088532al_val(hAPP_v852496844al_val(product_Pair_val_val(A),Y_1),transi935034983cl_val(R)))
=> ( hBOOL(member649088532al_val(hAPP_v852496844al_val(product_Pair_val_val(Y_1),Z),R))
=> ( hBOOL(hAPP_val_bool(Pa,Y_1))
=> hBOOL(hAPP_val_bool(Pa,Z)) ) ) )
=> hBOOL(hAPP_val_bool(Pa,B)) ) ) ) ).
fof(fact_462_blocksRedsFinal,axiom,
! [L_3,Ea,Ha,L_1,E_1,H_1,L_2,Pa,Vsa,Vsa_1,Tsa] :
( size_s2113983095t_char(Vsa_1) = size_size_list_ty(Tsa)
=> ( size_size_list_val(Vsa) = size_size_list_ty(Tsa)
=> ( hBOOL(distinct_list_char(Vsa_1))
=> ( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(Ea),hAPP_f1727192346on_val(produc899768717on_val(Ha),map_up1085636310ar_val(L_1,Vsa_1,Vsa)))),hAPP_P604205461on_val(produc1259058957on_val(E_1),hAPP_f1727192346on_val(produc899768717on_val(H_1),L_2))),transi2024712006on_val(red(Pa))))
=> ( hBOOL(final_list_char(E_1))
=> ( L_3 = overri2012515291on_val(L_2,L_1,set_list_char(Vsa_1))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(blocks(hAPP_P767818445t_char(produc921874948t_char(Vsa_1),hAPP_P1392904962t_char(produc1909267824t_char(Tsa),hAPP_e1752110927t_char(produc1916172923t_char(Vsa),Ea))))),hAPP_f1727192346on_val(produc899768717on_val(Ha),L_1))),hAPP_P604205461on_val(produc1259058957on_val(E_1),hAPP_f1727192346on_val(produc899768717on_val(H_1),L_3))),transi2024712006on_val(red(Pa)))) ) ) ) ) ) ) ).
fof(fact_463_map__eq__conv,axiom,
! [F_1,Xs,G] :
( hAPP_l1892737211st_val(map_list_char_val(F_1),Xs) = hAPP_l1892737211st_val(map_list_char_val(G),Xs)
<=> ! [X_3] :
( hBOOL(member_list_char(X_3,set_list_char(Xs)))
=> hAPP_list_char_val(F_1,X_3) = hAPP_list_char_val(G,X_3) ) ) ).
fof(fact_464_map__eq__conv,axiom,
! [F_1,Xs,G] :
( hAPP_l732421366t_char(map_va1934808527t_char(F_1),Xs) = hAPP_l732421366t_char(map_va1934808527t_char(G),Xs)
<=> ! [X_3] :
( hBOOL(member_val(X_3,set_val(Xs)))
=> hAPP_v834067052t_char(F_1,X_3) = hAPP_v834067052t_char(G,X_3) ) ) ).
fof(fact_465_map__eq__conv,axiom,
! [F_1,Xs,G] :
( hAPP_l1487035934ion_ty(map_ty_option_ty(F_1),Xs) = hAPP_l1487035934ion_ty(map_ty_option_ty(G),Xs)
<=> ! [X_3] :
( hBOOL(member_ty(X_3,set_ty(Xs)))
=> hAPP_ty_option_ty(F_1,X_3) = hAPP_ty_option_ty(G,X_3) ) ) ).
fof(fact_466_map__eq__conv,axiom,
! [F_1,Xs,G] :
( hAPP_l2006940821ion_ty(map_val_option_ty(F_1),Xs) = hAPP_l2006940821ion_ty(map_val_option_ty(G),Xs)
<=> ! [X_3] :
( hBOOL(member_val(X_3,set_val(Xs)))
=> hAPP_val_option_ty(F_1,X_3) = hAPP_val_option_ty(G,X_3) ) ) ).
fof(fact_467_blocksReds,axiom,
! [Ea,Ha,L_1,E_1,H_1,L_2,Pa,Vsa,Vsa_1,Tsa] :
( size_s2113983095t_char(Vsa_1) = size_size_list_ty(Tsa)
=> ( size_size_list_val(Vsa) = size_size_list_ty(Tsa)
=> ( hBOOL(distinct_list_char(Vsa_1))
=> ( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(Ea),hAPP_f1727192346on_val(produc899768717on_val(Ha),map_up1085636310ar_val(L_1,Vsa_1,Vsa)))),hAPP_P604205461on_val(produc1259058957on_val(E_1),hAPP_f1727192346on_val(produc899768717on_val(H_1),L_2))),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(blocks(hAPP_P767818445t_char(produc921874948t_char(Vsa_1),hAPP_P1392904962t_char(produc1909267824t_char(Tsa),hAPP_e1752110927t_char(produc1916172923t_char(Vsa),Ea))))),hAPP_f1727192346on_val(produc899768717on_val(Ha),L_1))),hAPP_P604205461on_val(produc1259058957on_val(blocks(hAPP_P767818445t_char(produc921874948t_char(Vsa_1),hAPP_P1392904962t_char(produc1909267824t_char(Tsa),hAPP_e1752110927t_char(produc1916172923t_char(hAPP_l1892737211st_val(map_list_char_val(comp_o1129292306t_char(the_val,L_2)),Vsa_1)),E_1))))),hAPP_f1727192346on_val(produc899768717on_val(H_1),overri2012515291on_val(L_2,L_1,set_list_char(Vsa_1))))),transi2024712006on_val(red(Pa)))) ) ) ) ) ).
fof(fact_468_map__cong,axiom,
! [F_1,G,Xs,Ys] :
( Xs = Ys
=> ( ! [X_3] :
( hBOOL(member_list_char(X_3,set_list_char(Ys)))
=> hAPP_list_char_val(F_1,X_3) = hAPP_list_char_val(G,X_3) )
=> hAPP_l1892737211st_val(map_list_char_val(F_1),Xs) = hAPP_l1892737211st_val(map_list_char_val(G),Ys) ) ) ).
fof(fact_469_map__cong,axiom,
! [F_1,G,Xs,Ys] :
( Xs = Ys
=> ( ! [X_3] :
( hBOOL(member_val(X_3,set_val(Ys)))
=> hAPP_v834067052t_char(F_1,X_3) = hAPP_v834067052t_char(G,X_3) )
=> hAPP_l732421366t_char(map_va1934808527t_char(F_1),Xs) = hAPP_l732421366t_char(map_va1934808527t_char(G),Ys) ) ) ).
fof(fact_470_map__cong,axiom,
! [F_1,G,Xs,Ys] :
( Xs = Ys
=> ( ! [X_3] :
( hBOOL(member_ty(X_3,set_ty(Ys)))
=> hAPP_ty_option_ty(F_1,X_3) = hAPP_ty_option_ty(G,X_3) )
=> hAPP_l1487035934ion_ty(map_ty_option_ty(F_1),Xs) = hAPP_l1487035934ion_ty(map_ty_option_ty(G),Ys) ) ) ).
fof(fact_471_map__cong,axiom,
! [F_1,G,Xs,Ys] :
( Xs = Ys
=> ( ! [X_3] :
( hBOOL(member_val(X_3,set_val(Ys)))
=> hAPP_val_option_ty(F_1,X_3) = hAPP_val_option_ty(G,X_3) )
=> hAPP_l2006940821ion_ty(map_val_option_ty(F_1),Xs) = hAPP_l2006940821ion_ty(map_val_option_ty(G),Ys) ) ) ).
fof(fact_472_map__idI,axiom,
! [F_1,Xs] :
( ! [X_3] :
( hBOOL(member_list_char(X_3,set_list_char(Xs)))
=> hAPP_l1074208899t_char(F_1,X_3) = X_3 )
=> hAPP_l407174677t_char(map_li1333403488t_char(F_1),Xs) = Xs ) ).
fof(fact_473_map__idI,axiom,
! [F_1,Xs] :
( ! [X_3] :
( hBOOL(member1251428284t_char(X_3,set_Pr550895038t_char(Xs)))
=> hAPP_P760138657t_char(F_1,X_3) = X_3 )
=> hAPP_l250787541t_char(map_Pr361633150t_char(F_1),Xs) = Xs ) ).
fof(fact_474_map__idI,axiom,
! [F_1,Xs] :
( ! [X_3] :
( hBOOL(member875476972on_val(X_3,set_Pr771975662on_val(Xs)))
=> hAPP_P1439304705on_val(F_1,X_3) = X_3 )
=> hAPP_l1208602837on_val(map_Pr1729094110on_val(F_1),Xs) = Xs ) ).
fof(fact_475_map__idI,axiom,
! [F_1,Xs] :
( ! [X_3] :
( hBOOL(member773094996on_val(X_3,set_Pr1921835862on_val(Xs)))
=> hAPP_P918220497on_val(F_1,X_3) = X_3 )
=> hAPP_l1695428693on_val(map_Pr1655409582on_val(F_1),Xs) = Xs ) ).
fof(fact_476_map__ext,axiom,
! [F_1,G,Xs] :
( ! [X_3] :
( hBOOL(member_list_char(X_3,set_list_char(Xs)))
=> hAPP_list_char_val(F_1,X_3) = hAPP_list_char_val(G,X_3) )
=> hAPP_l1892737211st_val(map_list_char_val(F_1),Xs) = hAPP_l1892737211st_val(map_list_char_val(G),Xs) ) ).
fof(fact_477_map__ext,axiom,
! [F_1,G,Xs] :
( ! [X_3] :
( hBOOL(member_val(X_3,set_val(Xs)))
=> hAPP_v834067052t_char(F_1,X_3) = hAPP_v834067052t_char(G,X_3) )
=> hAPP_l732421366t_char(map_va1934808527t_char(F_1),Xs) = hAPP_l732421366t_char(map_va1934808527t_char(G),Xs) ) ).
fof(fact_478_map__ext,axiom,
! [F_1,G,Xs] :
( ! [X_3] :
( hBOOL(member_ty(X_3,set_ty(Xs)))
=> hAPP_ty_option_ty(F_1,X_3) = hAPP_ty_option_ty(G,X_3) )
=> hAPP_l1487035934ion_ty(map_ty_option_ty(F_1),Xs) = hAPP_l1487035934ion_ty(map_ty_option_ty(G),Xs) ) ).
fof(fact_479_map__ext,axiom,
! [F_1,G,Xs] :
( ! [X_3] :
( hBOOL(member_val(X_3,set_val(Xs)))
=> hAPP_val_option_ty(F_1,X_3) = hAPP_val_option_ty(G,X_3) )
=> hAPP_l2006940821ion_ty(map_val_option_ty(F_1),Xs) = hAPP_l2006940821ion_ty(map_val_option_ty(G),Xs) ) ).
fof(fact_480_ex__map__conv,axiom,
! [Ys,F_1] :
( ? [Xs_1] : Ys = hAPP_l1892737211st_val(map_list_char_val(F_1),Xs_1)
<=> ! [X_3] :
( hBOOL(member_val(X_3,set_val(Ys)))
=> ? [Xa] : X_3 = hAPP_list_char_val(F_1,Xa) ) ) ).
fof(fact_481_ex__map__conv,axiom,
! [Ys,F_1] :
( ? [Xs_1] : Ys = hAPP_l732421366t_char(map_va1934808527t_char(F_1),Xs_1)
<=> ! [X_3] :
( hBOOL(member_exp_list_char(X_3,set_exp_list_char(Ys)))
=> ? [Xa] : X_3 = hAPP_v834067052t_char(F_1,Xa) ) ) ).
fof(fact_482_ex__map__conv,axiom,
! [Ys,F_1] :
( ? [Xs_1] : Ys = hAPP_l1487035934ion_ty(map_ty_option_ty(F_1),Xs_1)
<=> ! [X_3] :
( hBOOL(member_option_ty(X_3,set_option_ty(Ys)))
=> ? [Xa] : X_3 = hAPP_ty_option_ty(F_1,Xa) ) ) ).
fof(fact_483_ex__map__conv,axiom,
! [Ys,F_1] :
( ? [Xs_1] : Ys = hAPP_l2006940821ion_ty(map_val_option_ty(F_1),Xs_1)
<=> ! [X_3] :
( hBOOL(member_option_ty(X_3,set_option_ty(Ys)))
=> ? [Xa] : X_3 = hAPP_val_option_ty(F_1,Xa) ) ) ).
fof(fact_484_map__upds__apply__nontin,axiom,
! [F_1,Ys,X_1,Xs] :
( ~ hBOOL(member_list_char(X_1,set_list_char(Xs)))
=> hAPP_l207779698on_val(map_up1085636310ar_val(F_1,Xs,Ys),X_1) = hAPP_l207779698on_val(F_1,X_1) ) ).
fof(fact_485_map__upds__apply__nontin,axiom,
! [F_1,Ys,X_1,Xs] :
( ~ hBOOL(member_list_char(X_1,set_list_char(Xs)))
=> hAPP_l512744617ion_ty(map_up891053837har_ty(F_1,Xs,Ys),X_1) = hAPP_l512744617ion_ty(F_1,X_1) ) ).
fof(fact_486_Red__lcl__add,axiom,
! [L_0,Ea,Ha,L_1,E_1,H_1,L_2,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(Ea),hAPP_f1727192346on_val(produc899768717on_val(Ha),L_1))),hAPP_P604205461on_val(produc1259058957on_val(E_1),hAPP_f1727192346on_val(produc899768717on_val(H_1),L_2))),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(Ea),hAPP_f1727192346on_val(produc899768717on_val(Ha),map_ad325961431ar_val(L_0,L_1)))),hAPP_P604205461on_val(produc1259058957on_val(E_1),hAPP_f1727192346on_val(produc899768717on_val(H_1),map_ad325961431ar_val(L_0,L_2)))),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_487_hext__def,axiom,
! [Ha,H_1] :
( hBOOL(hext(Ha,H_1))
<=> ! [A_1,C_1,Fs_2] :
( hAPP_n546249108on_val(Ha,A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(produc823076510on_val(C_1),Fs_2))
=> ? [Fs_3] : hAPP_n546249108on_val(H_1,A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(produc823076510on_val(C_1),Fs_3)) ) ) ).
fof(fact_488_List_Omap_Ocomp,axiom,
! [F_1,G] : comp_l1825390573t_char(map_option_val_val(F_1),map_li50976719on_val(G)) = map_list_char_val(comp_o1129292306t_char(F_1,G)) ).
fof(fact_489_map__comp__map,axiom,
! [F_1,G] : comp_l1825390573t_char(map_option_val_val(F_1),map_li50976719on_val(G)) = map_list_char_val(comp_o1129292306t_char(F_1,G)) ).
fof(fact_490_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_491_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_492_map__add__upds,axiom,
! [M1,M2,Xs,Ys] : map_ad325961431ar_val(M1,map_up1085636310ar_val(M2,Xs,Ys)) = map_up1085636310ar_val(map_ad325961431ar_val(M1,M2),Xs,Ys) ).
fof(fact_493_map__add__upds,axiom,
! [M1,M2,Xs,Ys] : map_add_list_char_ty(M1,map_up891053837har_ty(M2,Xs,Ys)) = map_up891053837har_ty(map_add_list_char_ty(M1,M2),Xs,Ys) ).
fof(fact_494_map__map,axiom,
! [F_1,G,Xs] : hAPP_l228474410st_val(map_option_val_val(F_1),hAPP_l297961988on_val(map_li50976719on_val(G),Xs)) = hAPP_l1892737211st_val(map_list_char_val(comp_o1129292306t_char(F_1,G)),Xs) ).
fof(fact_495_List_Omap_Ocompositionality,axiom,
! [F_1,G,List] : hAPP_l228474410st_val(map_option_val_val(F_1),hAPP_l297961988on_val(map_li50976719on_val(G),List)) = hAPP_l1892737211st_val(map_list_char_val(comp_o1129292306t_char(F_1,G)),List) ).
fof(fact_496_the_Osimps,axiom,
! [X_2] : hAPP_option_val_val(the_val,hAPP_val_option_val(some_val,X_2)) = X_2 ).
fof(fact_497_the_Osimps,axiom,
! [X_1] : hAPP_o1977518472on_val(the_Pr431167171on_val,hAPP_P1510515380on_val(some_P948696889on_val,X_1)) = X_1 ).
fof(fact_498_the_Osimps,axiom,
! [X_2] : hAPP_option_ty_ty(the_ty,hAPP_ty_option_ty(some_ty,X_2)) = X_2 ).
fof(fact_499_red__lcl__add,axiom,
! [L_0,Ea,Ha,L_1,E_1,H_1,L_2,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(Ea),hAPP_f1727192346on_val(produc899768717on_val(Ha),L_1))),hAPP_P604205461on_val(produc1259058957on_val(E_1),hAPP_f1727192346on_val(produc899768717on_val(H_1),L_2))),red(Pa)))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(Ea),hAPP_f1727192346on_val(produc899768717on_val(Ha),map_ad325961431ar_val(L_0,L_1)))),hAPP_P604205461on_val(produc1259058957on_val(E_1),hAPP_f1727192346on_val(produc899768717on_val(H_1),map_ad325961431ar_val(L_0,L_2)))),red(Pa))) ) ).
fof(fact_500_hext__objD,axiom,
! [A,C,Fs,Ha,H_1] :
( hBOOL(hext(Ha,H_1))
=> ( hAPP_n546249108on_val(Ha,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(produc823076510on_val(C),Fs))
=> ? [Fs_3] : hAPP_n546249108on_val(H_1,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(produc823076510on_val(C),Fs_3)) ) ) ).
fof(fact_501_hextI,axiom,
! [H_1,Ha] :
( ! [A_1,C_1,Fs_2] :
( hAPP_n546249108on_val(Ha,A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(produc823076510on_val(C_1),Fs_2))
=> ? [Fs_3] : hAPP_n546249108on_val(H_1,A_1) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(produc823076510on_val(C_1),Fs_3)) )
=> hBOOL(hext(Ha,H_1)) ) ).
fof(fact_502_TryRedsVal,axiom,
! [C,V,E_2_1,Ea,S,V_2,S_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(Ea),S)),hAPP_P604205461on_val(produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_2)),S_1)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(tryCatch_list_char(Ea,C,V,E_2_1)),S)),hAPP_P604205461on_val(produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_2)),S_1)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_503_reds__preserves__lconf,axiom,
! [E,Tsa,Es,Ha,L_1,Es_1,H_1,L_2,Pa] :
( hBOOL(member875476972on_val(hAPP_P658340954on_val(produc1611380469on_val(hAPP_P1963616220on_val(produc379668296on_val(Es),hAPP_f1727192346on_val(produc899768717on_val(Ha),L_1))),hAPP_P1963616220on_val(produc379668296on_val(Es_1),hAPP_f1727192346on_val(produc899768717on_val(H_1),L_2))),reds(Pa)))
=> ( hBOOL(wTrts(Pa,Ha,E,Es,Tsa))
=> ( hBOOL(lconf_496643946t_char(Pa,Ha,L_1,E))
=> hBOOL(lconf_496643946t_char(Pa,H_1,L_2,E)) ) ) ) ).
fof(fact_504_reds__preserves__hconf,axiom,
! [E,Tsa,Es,Ha,L_1,Es_1,H_1,L_2,Pa] :
( hBOOL(member875476972on_val(hAPP_P658340954on_val(produc1611380469on_val(hAPP_P1963616220on_val(produc379668296on_val(Es),hAPP_f1727192346on_val(produc899768717on_val(Ha),L_1))),hAPP_P1963616220on_val(produc379668296on_val(Es_1),hAPP_f1727192346on_val(produc899768717on_val(H_1),L_2))),reds(Pa)))
=> ( hBOOL(wTrts(Pa,Ha,E,Es,Tsa))
=> ( hBOOL(hconf_97414254t_char(Pa,Ha))
=> hBOOL(hconf_97414254t_char(Pa,H_1)) ) ) ) ).
fof(fact_505_BinOp2Reds,axiom,
! [V_2,Bop,Ea,S,E_1,S_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(Ea),S)),hAPP_P604205461on_val(produc1259058957on_val(E_1),S_1)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(binOp_list_char(hAPP_v834067052t_char(val_list_char,V_2),Bop,Ea)),S)),hAPP_P604205461on_val(produc1259058957on_val(binOp_list_char(hAPP_v834067052t_char(val_list_char,V_2),Bop,E_1)),S_1)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_506_FAssReds2,axiom,
! [V_2,F,D,Ea,S,E_1,S_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(Ea),S)),hAPP_P604205461on_val(produc1259058957on_val(E_1),S_1)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(fAss_list_char(hAPP_v834067052t_char(val_list_char,V_2),F,D,Ea)),S)),hAPP_P604205461on_val(produc1259058957on_val(fAss_list_char(hAPP_v834067052t_char(val_list_char,V_2),F,D,E_1)),S_1)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_507_SeqReds2,axiom,
! [E_2_1,E_2_2,S_2,E_1_1,S_0,V_1_1,S_1_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(E_1_1),S_0)),hAPP_P604205461on_val(produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_1_1)),S_1_1)),transi2024712006on_val(red(Pa))))
=> ( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(E_2_1),S_1_1)),hAPP_P604205461on_val(produc1259058957on_val(E_2_2),S_2)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(seq_list_char(E_1_1,E_2_1)),S_0)),hAPP_P604205461on_val(produc1259058957on_val(E_2_2),S_2)),transi2024712006on_val(red(Pa)))) ) ) ).
fof(fact_508_WTrtSeq,axiom,
! [E_2_1,T_2,Pa,Ha,E,E_1_1,T_1_1] :
( hBOOL(wTrt(Pa,Ha,E,E_1_1,T_1_1))
=> ( hBOOL(wTrt(Pa,Ha,E,E_2_1,T_2))
=> hBOOL(wTrt(Pa,Ha,E,seq_list_char(E_1_1,E_2_1),T_2)) ) ) ).
fof(fact_509_Seq,axiom,
! [E_1_1,E_2_1,S_2,Pa,E_0,S_0,V_2,S_1_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_0,S_0),hAPP_v834067052t_char(val_list_char,V_2)),S_1_1))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_1_1),E_2_1),S_2))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,seq_list_char(E_0,E_1_1),S_0),E_2_1),S_2)) ) ) ).
fof(fact_510_Try,axiom,
! [C,V,E_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,tryCatch_list_char(E_1_1,C,V,E_2_1),S_0),hAPP_v834067052t_char(val_list_char,V_1_1)),S_1_1)) ) ).
fof(fact_511_red__reds_OSeqRed,axiom,
! [E_2_1,Ea,S,E_1,S_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(Ea),S)),hAPP_P604205461on_val(produc1259058957on_val(E_1),S_1)),red(Pa)))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(seq_list_char(Ea,E_2_1)),S)),hAPP_P604205461on_val(produc1259058957on_val(seq_list_char(E_1,E_2_1)),S_1)),red(Pa))) ) ).
fof(fact_512_red__reds_OFAssRed1,axiom,
! [F,D,E_2_1,Ea,S,E_1,S_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(Ea),S)),hAPP_P604205461on_val(produc1259058957on_val(E_1),S_1)),red(Pa)))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(fAss_list_char(Ea,F,D,E_2_1)),S)),hAPP_P604205461on_val(produc1259058957on_val(fAss_list_char(E_1,F,D,E_2_1)),S_1)),red(Pa))) ) ).
fof(fact_513_red__reds_OBinOpRed1,axiom,
! [Bop,E_2_1,Ea,S,E_1,S_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(Ea),S)),hAPP_P604205461on_val(produc1259058957on_val(E_1),S_1)),red(Pa)))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(binOp_list_char(Ea,Bop,E_2_1)),S)),hAPP_P604205461on_val(produc1259058957on_val(binOp_list_char(E_1,Bop,E_2_1)),S_1)),red(Pa))) ) ).
fof(fact_514_reds__hext__incr,axiom,
! [Es,Ha,L_1,Es_1,H_1,L_2,Pa] :
( hBOOL(member875476972on_val(hAPP_P658340954on_val(produc1611380469on_val(hAPP_P1963616220on_val(produc379668296on_val(Es),hAPP_f1727192346on_val(produc899768717on_val(Ha),L_1))),hAPP_P1963616220on_val(produc379668296on_val(Es_1),hAPP_f1727192346on_val(produc899768717on_val(H_1),L_2))),reds(Pa)))
=> hBOOL(hext(Ha,H_1)) ) ).
fof(fact_515_red__reds_OTryRed,axiom,
! [C,V,E_2_1,Ea,S,E_1,S_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(Ea),S)),hAPP_P604205461on_val(produc1259058957on_val(E_1),S_1)),red(Pa)))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(tryCatch_list_char(Ea,C,V,E_2_1)),S)),hAPP_P604205461on_val(produc1259058957on_val(tryCatch_list_char(E_1,C,V,E_2_1)),S_1)),red(Pa))) ) ).
fof(fact_516_red__reds_ORedSeq,axiom,
! [V_2,E_2_1,S,Pa] : hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(seq_list_char(hAPP_v834067052t_char(val_list_char,V_2),E_2_1)),S)),hAPP_P604205461on_val(produc1259058957on_val(E_2_1),S)),red(Pa))) ).
fof(fact_517_SeqReds,axiom,
! [E_2_1,Ea,S,E_1,S_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(Ea),S)),hAPP_P604205461on_val(produc1259058957on_val(E_1),S_1)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(seq_list_char(Ea,E_2_1)),S)),hAPP_P604205461on_val(produc1259058957on_val(seq_list_char(E_1,E_2_1)),S_1)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_518_red__reds_OFAssRed2,axiom,
! [V_2,F,D,Ea,S,E_1,S_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(Ea),S)),hAPP_P604205461on_val(produc1259058957on_val(E_1),S_1)),red(Pa)))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(fAss_list_char(hAPP_v834067052t_char(val_list_char,V_2),F,D,Ea)),S)),hAPP_P604205461on_val(produc1259058957on_val(fAss_list_char(hAPP_v834067052t_char(val_list_char,V_2),F,D,E_1)),S_1)),red(Pa))) ) ).
fof(fact_519_red__reds_OBinOpRed2,axiom,
! [V_1_1,Bop,Ea,S,E_1,S_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(Ea),S)),hAPP_P604205461on_val(produc1259058957on_val(E_1),S_1)),red(Pa)))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_1),Bop,Ea)),S)),hAPP_P604205461on_val(produc1259058957on_val(binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_1),Bop,E_1)),S_1)),red(Pa))) ) ).
fof(fact_520_FAssReds1,axiom,
! [F,D,E_2_1,Ea,S,E_1,S_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(Ea),S)),hAPP_P604205461on_val(produc1259058957on_val(E_1),S_1)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(fAss_list_char(Ea,F,D,E_2_1)),S)),hAPP_P604205461on_val(produc1259058957on_val(fAss_list_char(E_1,F,D,E_2_1)),S_1)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_521_BinOp1Reds,axiom,
! [Bop,E_2_1,Ea,S,E_1,S_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(Ea),S)),hAPP_P604205461on_val(produc1259058957on_val(E_1),S_1)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(binOp_list_char(Ea,Bop,E_2_1)),S)),hAPP_P604205461on_val(produc1259058957on_val(binOp_list_char(E_1,Bop,E_2_1)),S_1)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_522_red__reds_ORedTry,axiom,
! [V_2,C,V,E_2_1,S,Pa] : hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(tryCatch_list_char(hAPP_v834067052t_char(val_list_char,V_2),C,V,E_2_1)),S)),hAPP_P604205461on_val(produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_2)),S)),red(Pa))) ).
fof(fact_523_TryReds,axiom,
! [C,V,E_2_1,Ea,S,E_1,S_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(Ea),S)),hAPP_P604205461on_val(produc1259058957on_val(E_1),S_1)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(tryCatch_list_char(Ea,C,V,E_2_1)),S)),hAPP_P604205461on_val(produc1259058957on_val(tryCatch_list_char(E_1,C,V,E_2_1)),S_1)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_524_BinOpRedsVal,axiom,
! [Bop,V_2,E_2_1,V_2_1,S_2,E_1_1,S_0,V_1_1,S_1_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(E_1_1),S_0)),hAPP_P604205461on_val(produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_1_1)),S_1_1)),transi2024712006on_val(red(Pa))))
=> ( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(E_2_1),S_1_1)),hAPP_P604205461on_val(produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_2_1)),S_2)),transi2024712006on_val(red(Pa))))
=> ( binop(hAPP_P929466802al_val(produc621191550al_val(Bop),hAPP_v852496844al_val(product_Pair_val_val(V_1_1),V_2_1))) = hAPP_val_option_val(some_val,V_2)
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(binOp_list_char(E_1_1,Bop,E_2_1)),S_0)),hAPP_P604205461on_val(produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_2)),S_2)),transi2024712006on_val(red(Pa)))) ) ) ) ).
fof(fact_525_red__reds_ORedBinOp,axiom,
! [S,Pa,Bop,V_1_1,V_2_1,V_2] :
( binop(hAPP_P929466802al_val(produc621191550al_val(Bop),hAPP_v852496844al_val(product_Pair_val_val(V_1_1),V_2_1))) = hAPP_val_option_val(some_val,V_2)
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_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)),hAPP_P604205461on_val(produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_2)),S)),red(Pa))) ) ).
fof(fact_526_CallRedsParams,axiom,
! [V_2,M,Es,S,Es_1,S_1,Pa] :
( hBOOL(member875476972on_val(hAPP_P658340954on_val(produc1611380469on_val(hAPP_P1963616220on_val(produc379668296on_val(Es),S)),hAPP_P1963616220on_val(produc379668296on_val(Es_1),S_1)),transi374442731on_val(reds(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(call_list_char(hAPP_v834067052t_char(val_list_char,V_2),M,Es)),S)),hAPP_P604205461on_val(produc1259058957on_val(call_list_char(hAPP_v834067052t_char(val_list_char,V_2),M,Es_1)),S_1)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_527_ListRedsVal,axiom,
! [Es,Es_1,S_2,Ea,S_0,V_2,S_1_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(Ea),S_0)),hAPP_P604205461on_val(produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_2)),S_1_1)),transi2024712006on_val(red(Pa))))
=> ( hBOOL(member875476972on_val(hAPP_P658340954on_val(produc1611380469on_val(hAPP_P1963616220on_val(produc379668296on_val(Es),S_1_1)),hAPP_P1963616220on_val(produc379668296on_val(Es_1),S_2)),transi374442731on_val(reds(Pa))))
=> hBOOL(member875476972on_val(hAPP_P658340954on_val(produc1611380469on_val(hAPP_P1963616220on_val(produc379668296on_val(cons_exp_list_char(Ea,Es)),S_0)),hAPP_P1963616220on_val(produc379668296on_val(cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V_2),Es_1)),S_2)),transi374442731on_val(reds(Pa)))) ) ) ).
fof(fact_528_red__reds_OCallObj,axiom,
! [M,Es,Ea,S,E_1,S_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(Ea),S)),hAPP_P604205461on_val(produc1259058957on_val(E_1),S_1)),red(Pa)))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(call_list_char(Ea,M,Es)),S)),hAPP_P604205461on_val(produc1259058957on_val(call_list_char(E_1,M,Es)),S_1)),red(Pa))) ) ).
fof(fact_529_CallRedsObj,axiom,
! [M,Es,Ea,S,E_1,S_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(Ea),S)),hAPP_P604205461on_val(produc1259058957on_val(E_1),S_1)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(call_list_char(Ea,M,Es)),S)),hAPP_P604205461on_val(produc1259058957on_val(call_list_char(E_1,M,Es)),S_1)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_530_ListReds2,axiom,
! [V_2,Es,S,Es_1,S_1,Pa] :
( hBOOL(member875476972on_val(hAPP_P658340954on_val(produc1611380469on_val(hAPP_P1963616220on_val(produc379668296on_val(Es),S)),hAPP_P1963616220on_val(produc379668296on_val(Es_1),S_1)),transi374442731on_val(reds(Pa))))
=> hBOOL(member875476972on_val(hAPP_P658340954on_val(produc1611380469on_val(hAPP_P1963616220on_val(produc379668296on_val(cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V_2),Es)),S)),hAPP_P1963616220on_val(produc379668296on_val(cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V_2),Es_1)),S_1)),transi374442731on_val(reds(Pa)))) ) ).
fof(fact_531_red__reds_OListRed2,axiom,
! [V_2,Es,S,Es_1,S_1,Pa] :
( hBOOL(member875476972on_val(hAPP_P658340954on_val(produc1611380469on_val(hAPP_P1963616220on_val(produc379668296on_val(Es),S)),hAPP_P1963616220on_val(produc379668296on_val(Es_1),S_1)),reds(Pa)))
=> hBOOL(member875476972on_val(hAPP_P658340954on_val(produc1611380469on_val(hAPP_P1963616220on_val(produc379668296on_val(cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V_2),Es)),S)),hAPP_P1963616220on_val(produc379668296on_val(cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V_2),Es_1)),S_1)),reds(Pa))) ) ).
fof(fact_532_red__reds_OListRed1,axiom,
! [Es,Ea,S,E_1,S_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(Ea),S)),hAPP_P604205461on_val(produc1259058957on_val(E_1),S_1)),red(Pa)))
=> hBOOL(member875476972on_val(hAPP_P658340954on_val(produc1611380469on_val(hAPP_P1963616220on_val(produc379668296on_val(cons_exp_list_char(Ea,Es)),S)),hAPP_P1963616220on_val(produc379668296on_val(cons_exp_list_char(E_1,Es)),S_1)),reds(Pa))) ) ).
fof(fact_533_BinOp,axiom,
! [Bop,V_2,E_2_1,V_2_1,S_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,E_2_1,S_1_1),hAPP_v834067052t_char(val_list_char,V_2_1)),S_2))
=> ( binop(hAPP_P929466802al_val(produc621191550al_val(Bop),hAPP_v852496844al_val(product_Pair_val_val(V_1_1),V_2_1))) = hAPP_val_option_val(some_val,V_2)
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,binOp_list_char(E_1_1,Bop,E_2_1),S_0),hAPP_v834067052t_char(val_list_char,V_2)),S_2)) ) ) ) ).
fof(fact_534_red__reds_OCallParams,axiom,
! [V_2,M,Es,S,Es_1,S_1,Pa] :
( hBOOL(member875476972on_val(hAPP_P658340954on_val(produc1611380469on_val(hAPP_P1963616220on_val(produc379668296on_val(Es),S)),hAPP_P1963616220on_val(produc379668296on_val(Es_1),S_1)),reds(Pa)))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(call_list_char(hAPP_v834067052t_char(val_list_char,V_2),M,Es)),S)),hAPP_P604205461on_val(produc1259058957on_val(call_list_char(hAPP_v834067052t_char(val_list_char,V_2),M,Es_1)),S_1)),red(Pa))) ) ).
fof(fact_535_ListReds1,axiom,
! [Es,Ea,S,E_1,S_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(Ea),S)),hAPP_P604205461on_val(produc1259058957on_val(E_1),S_1)),transi2024712006on_val(red(Pa))))
=> hBOOL(member875476972on_val(hAPP_P658340954on_val(produc1611380469on_val(hAPP_P1963616220on_val(produc379668296on_val(cons_exp_list_char(Ea,Es)),S)),hAPP_P1963616220on_val(produc379668296on_val(cons_exp_list_char(E_1,Es)),S_1)),transi374442731on_val(reds(Pa)))) ) ).
fof(fact_536_redp__redsp_ORedBinOp,axiom,
! [Pa,S,Bop,V_1_1,V_2_1,V_2] :
( binop(hAPP_P929466802al_val(produc621191550al_val(Bop),hAPP_v852496844al_val(product_Pair_val_val(V_1_1),V_2_1))) = hAPP_val_option_val(some_val,V_2)
=> 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),hAPP_v834067052t_char(val_list_char,V_2)),S)) ) ).
fof(fact_537_CallRedsThrowParams,axiom,
! [M,Es,Vs_1,A,Es_2_1,S_2,Ea,S0,V_2,S_1_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(Ea),S0)),hAPP_P604205461on_val(produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_2)),S_1_1)),transi2024712006on_val(red(Pa))))
=> ( hBOOL(member875476972on_val(hAPP_P658340954on_val(produc1611380469on_val(hAPP_P1963616220on_val(produc379668296on_val(Es),S_1_1)),hAPP_P1963616220on_val(produc379668296on_val(append_exp_list_char(hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vs_1),cons_exp_list_char(throw_list_char(A),Es_2_1))),S_2)),transi374442731on_val(reds(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(call_list_char(Ea,M,Es)),S0)),hAPP_P604205461on_val(produc1259058957on_val(throw_list_char(A)),S_2)),transi2024712006on_val(red(Pa)))) ) ) ).
fof(fact_538_WTrtCons,axiom,
! [Es,Tsa,Pa,Ha,E,Ea,Ta] :
( hBOOL(wTrt(Pa,Ha,E,Ea,Ta))
=> ( hBOOL(wTrts(Pa,Ha,E,Es,Tsa))
=> hBOOL(wTrts(Pa,Ha,E,cons_exp_list_char(Ea,Es),cons_ty(Ta,Tsa))) ) ) ).
fof(fact_539_redp__redsp_OFAssThrow1,axiom,
! [Pa,Ea,F,D,E_2_1,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(throw_list_char(Ea),F,D,E_2_1),S),throw_list_char(Ea)),S)) ).
fof(fact_540_redp__redsp_OBinOpThrow1,axiom,
! [Pa,Ea,Bop,E_2_1,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,binOp_list_char(throw_list_char(Ea),Bop,E_2_1),S),throw_list_char(Ea)),S)) ).
fof(fact_541_redp__redsp_OCallThrowObj,axiom,
! [Pa,Ea,M,Es,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,call_list_char(throw_list_char(Ea),M,Es),S),throw_list_char(Ea)),S)) ).
fof(fact_542_redp__redsp_OThrowRed,axiom,
! [Pa,Ea,S,E_1,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S),E_1),S_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,throw_list_char(Ea),S),throw_list_char(E_1)),S_1)) ) ).
fof(fact_543_redp__redsp_OThrowThrow,axiom,
! [Pa,Ea,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,throw_list_char(throw_list_char(Ea)),S),throw_list_char(Ea)),S)) ).
fof(fact_544_redp__redsp_OSeqThrow,axiom,
! [Pa,Ea,E_2_1,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,seq_list_char(throw_list_char(Ea),E_2_1),S),throw_list_char(Ea)),S)) ).
fof(fact_545_redp__redsp_OFAssThrow2,axiom,
! [Pa,V_2,F,D,Ea,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(hAPP_v834067052t_char(val_list_char,V_2),F,D,throw_list_char(Ea)),S),throw_list_char(Ea)),S)) ).
fof(fact_546_redp__redsp_OBinOpThrow2,axiom,
! [Pa,V_1_1,Bop,Ea,S] : 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),throw_list_char(Ea)),S)) ).
fof(fact_547_eval__evals_OThrowThrow,axiom,
! [Pa,Ea,S_0,E_1,S_1_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),throw_list_char(E_1)),S_1_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,throw_list_char(Ea),S_0),throw_list_char(E_1)),S_1_1)) ) ).
fof(fact_548_redp__redsp_OSeqRed,axiom,
! [E_2_1,Pa,Ea,S,E_1,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S),E_1),S_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,seq_list_char(Ea,E_2_1),S),seq_list_char(E_1,E_2_1)),S_1)) ) ).
fof(fact_549_redp__redsp_OFAssRed1,axiom,
! [F,D,E_2_1,Pa,Ea,S,E_1,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S),E_1),S_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(Ea,F,D,E_2_1),S),fAss_list_char(E_1,F,D,E_2_1)),S_1)) ) ).
fof(fact_550_redp__redsp_OCallObj,axiom,
! [M,Es,Pa,Ea,S,E_1,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S),E_1),S_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,call_list_char(Ea,M,Es),S),call_list_char(E_1,M,Es)),S_1)) ) ).
fof(fact_551_redp__redsp_OBinOpRed1,axiom,
! [Bop,E_2_1,Pa,Ea,S,E_1,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S),E_1),S_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,binOp_list_char(Ea,Bop,E_2_1),S),binOp_list_char(E_1,Bop,E_2_1)),S_1)) ) ).
fof(fact_552_redp__redsp_OTryRed,axiom,
! [C,V,E_2_1,Pa,Ea,S,E_1,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S),E_1),S_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,tryCatch_list_char(Ea,C,V,E_2_1),S),tryCatch_list_char(E_1,C,V,E_2_1)),S_1)) ) ).
fof(fact_553_redp__redsp_OCallThrowParams,axiom,
! [Pa,V_2,M,S,Es,Vsa,Ea,Es_1] :
( Es = append_exp_list_char(hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vsa),cons_exp_list_char(throw_list_char(Ea),Es_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,call_list_char(hAPP_v834067052t_char(val_list_char,V_2),M,Es),S),throw_list_char(Ea)),S)) ) ).
fof(fact_554_redp__redsp_ORedSeq,axiom,
! [Pa,V_2,E_2_1,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,seq_list_char(hAPP_v834067052t_char(val_list_char,V_2),E_2_1),S),E_2_1),S)) ).
fof(fact_555_redp__redsp_OFAssRed2,axiom,
! [V_2,F,D,Pa,Ea,S,E_1,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S),E_1),S_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(hAPP_v834067052t_char(val_list_char,V_2),F,D,Ea),S),fAss_list_char(hAPP_v834067052t_char(val_list_char,V_2),F,D,E_1)),S_1)) ) ).
fof(fact_556_redp__redsp_OBinOpRed2,axiom,
! [V_1_1,Bop,Pa,Ea,S,E_1,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S),E_1),S_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_1),Bop,Ea),S),binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_1),Bop,E_1)),S_1)) ) ).
fof(fact_557_redp__redsp_ORedTry,axiom,
! [Pa,V_2,C,V,E_2_1,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,tryCatch_list_char(hAPP_v834067052t_char(val_list_char,V_2),C,V,E_2_1),S),hAPP_v834067052t_char(val_list_char,V_2)),S)) ).
fof(fact_558_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_559_eval__evals_OFAssThrow1,axiom,
! [F,D,E_2_1,Pa,E_1_1,S_0,E_1,S_1_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_0),throw_list_char(E_1)),S_1_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAss_list_char(E_1_1,F,D,E_2_1),S_0),throw_list_char(E_1)),S_1_1)) ) ).
fof(fact_560_CallObjThrow,axiom,
! [M,Ps,Pa,Ea,S_0,E_1,S_1_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),throw_list_char(E_1)),S_1_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,call_list_char(Ea,M,Ps),S_0),throw_list_char(E_1)),S_1_1)) ) ).
fof(fact_561_eval__evals_OBinOpThrow1,axiom,
! [Bop,E_2_1,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_1),S_0),throw_list_char(Ea)),S_1_1)) ) ).
fof(fact_562_red__reds_OThrowRed,axiom,
! [Ea,S,E_1,S_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(Ea),S)),hAPP_P604205461on_val(produc1259058957on_val(E_1),S_1)),red(Pa)))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(throw_list_char(Ea)),S)),hAPP_P604205461on_val(produc1259058957on_val(throw_list_char(E_1)),S_1)),red(Pa))) ) ).
fof(fact_563_red__reds_OThrowThrow,axiom,
! [Ea,S,Pa] : hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(throw_list_char(throw_list_char(Ea))),S)),hAPP_P604205461on_val(produc1259058957on_val(throw_list_char(Ea)),S)),red(Pa))) ).
fof(fact_564_eval__evals_OFAssThrow2,axiom,
! [F,D,E_2_1,E_1,S_2,Pa,E_1_1,S_0,V_2,S_1_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_0),hAPP_v834067052t_char(val_list_char,V_2)),S_1_1))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2_1,S_1_1),throw_list_char(E_1)),S_2))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAss_list_char(E_1_1,F,D,E_2_1),S_0),throw_list_char(E_1)),S_2)) ) ) ).
fof(fact_565_eval__evals_OBinOpThrow2,axiom,
! [Bop,E_2_1,Ea,S_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,E_2_1,S_1_1),throw_list_char(Ea)),S_2))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,binOp_list_char(E_1_1,Bop,E_2_1),S_0),throw_list_char(Ea)),S_2)) ) ) ).
fof(fact_566_red__reds_OCallThrowParams,axiom,
! [V_2,M,S,Pa,Es,Vsa,Ea,Es_1] :
( Es = append_exp_list_char(hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vsa),cons_exp_list_char(throw_list_char(Ea),Es_1))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(call_list_char(hAPP_v834067052t_char(val_list_char,V_2),M,Es)),S)),hAPP_P604205461on_val(produc1259058957on_val(throw_list_char(Ea)),S)),red(Pa))) ) ).
fof(fact_567_ThrowRedsThrow,axiom,
! [Ea,S,A,S_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(Ea),S)),hAPP_P604205461on_val(produc1259058957on_val(throw_list_char(A)),S_1)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(throw_list_char(Ea)),S)),hAPP_P604205461on_val(produc1259058957on_val(throw_list_char(A)),S_1)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_568_ThrowReds,axiom,
! [Ea,S,E_1,S_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(Ea),S)),hAPP_P604205461on_val(produc1259058957on_val(E_1),S_1)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(throw_list_char(Ea)),S)),hAPP_P604205461on_val(produc1259058957on_val(throw_list_char(E_1)),S_1)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_569_red__reds_OSeqThrow,axiom,
! [Ea,E_2_1,S,Pa] : hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(seq_list_char(throw_list_char(Ea),E_2_1)),S)),hAPP_P604205461on_val(produc1259058957on_val(throw_list_char(Ea)),S)),red(Pa))) ).
fof(fact_570_red__reds_OFAssThrow1,axiom,
! [Ea,F,D,E_2_1,S,Pa] : hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(fAss_list_char(throw_list_char(Ea),F,D,E_2_1)),S)),hAPP_P604205461on_val(produc1259058957on_val(throw_list_char(Ea)),S)),red(Pa))) ).
fof(fact_571_red__reds_OCallThrowObj,axiom,
! [Ea,M,Es,S,Pa] : hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(call_list_char(throw_list_char(Ea),M,Es)),S)),hAPP_P604205461on_val(produc1259058957on_val(throw_list_char(Ea)),S)),red(Pa))) ).
fof(fact_572_red__reds_OBinOpThrow1,axiom,
! [Ea,Bop,E_2_1,S,Pa] : hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(binOp_list_char(throw_list_char(Ea),Bop,E_2_1)),S)),hAPP_P604205461on_val(produc1259058957on_val(throw_list_char(Ea)),S)),red(Pa))) ).
fof(fact_573_red__reds_OFAssThrow2,axiom,
! [V_2,F,D,Ea,S,Pa] : hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(fAss_list_char(hAPP_v834067052t_char(val_list_char,V_2),F,D,throw_list_char(Ea))),S)),hAPP_P604205461on_val(produc1259058957on_val(throw_list_char(Ea)),S)),red(Pa))) ).
fof(fact_574_red__reds_OBinOpThrow2,axiom,
! [V_1_1,Bop,Ea,S,Pa] : hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(binOp_list_char(hAPP_v834067052t_char(val_list_char,V_1_1),Bop,throw_list_char(Ea))),S)),hAPP_P604205461on_val(produc1259058957on_val(throw_list_char(Ea)),S)),red(Pa))) ).
fof(fact_575_SeqRedsThrow,axiom,
! [E_2_1,Ea,S,E_1,S_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(Ea),S)),hAPP_P604205461on_val(produc1259058957on_val(throw_list_char(E_1)),S_1)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(seq_list_char(Ea,E_2_1)),S)),hAPP_P604205461on_val(produc1259058957on_val(throw_list_char(E_1)),S_1)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_576_FAssRedsThrow1,axiom,
! [F,D,E_2_1,Ea,S,E_1,S_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(Ea),S)),hAPP_P604205461on_val(produc1259058957on_val(throw_list_char(E_1)),S_1)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(fAss_list_char(Ea,F,D,E_2_1)),S)),hAPP_P604205461on_val(produc1259058957on_val(throw_list_char(E_1)),S_1)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_577_CallRedsThrowObj,axiom,
! [M,Es,Ea,S0,A,S_1_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(Ea),S0)),hAPP_P604205461on_val(produc1259058957on_val(throw_list_char(A)),S_1_1)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(call_list_char(Ea,M,Es)),S0)),hAPP_P604205461on_val(produc1259058957on_val(throw_list_char(A)),S_1_1)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_578_BinOpRedsThrow1,axiom,
! [Bop,E_2_1,Ea,S,E_1,S_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(Ea),S)),hAPP_P604205461on_val(produc1259058957on_val(throw_list_char(E_1)),S_1)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(binOp_list_char(Ea,Bop,E_2_1)),S)),hAPP_P604205461on_val(produc1259058957on_val(throw_list_char(E_1)),S_1)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_579_FAssRedsThrow2,axiom,
! [F,D,E_2_1,Ea,S_2,E_1_1,S_0,V_2,S_1_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(E_1_1),S_0)),hAPP_P604205461on_val(produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_2)),S_1_1)),transi2024712006on_val(red(Pa))))
=> ( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(E_2_1),S_1_1)),hAPP_P604205461on_val(produc1259058957on_val(throw_list_char(Ea)),S_2)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(fAss_list_char(E_1_1,F,D,E_2_1)),S_0)),hAPP_P604205461on_val(produc1259058957on_val(throw_list_char(Ea)),S_2)),transi2024712006on_val(red(Pa)))) ) ) ).
fof(fact_580_BinOpRedsThrow2,axiom,
! [Bop,E_2_1,Ea,S_2,E_1_1,S_0,V_1_1,S_1_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(E_1_1),S_0)),hAPP_P604205461on_val(produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_1_1)),S_1_1)),transi2024712006on_val(red(Pa))))
=> ( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(E_2_1),S_1_1)),hAPP_P604205461on_val(produc1259058957on_val(throw_list_char(Ea)),S_2)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(binOp_list_char(E_1_1,Bop,E_2_1)),S_0)),hAPP_P604205461on_val(produc1259058957on_val(throw_list_char(Ea)),S_2)),transi2024712006on_val(red(Pa)))) ) ) ).
fof(fact_581_eval__cases_I3_J,axiom,
! [Pa,E_1_1,Bop,E_2_1,S,E_1,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,binOp_list_char(E_1_1,Bop,E_2_1),S),E_1),S_1))
=> ( ! [V_1_2,S_1_2,V_2_2,V_1] :
( E_1 = hAPP_v834067052t_char(val_list_char,V_1)
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S),hAPP_v834067052t_char(val_list_char,V_1_2)),S_1_2))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2_1,S_1_2),hAPP_v834067052t_char(val_list_char,V_2_2)),S_1))
=> binop(hAPP_P929466802al_val(produc621191550al_val(Bop),hAPP_v852496844al_val(product_Pair_val_val(V_1_2),V_2_2))) != hAPP_val_option_val(some_val,V_1) ) ) )
=> ( ! [E_4] :
( E_1 = throw_list_char(E_4)
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S),throw_list_char(E_4)),S_1)) )
=> ~ ! [V_1_2,S_1_2,E_4] :
( E_1 = throw_list_char(E_4)
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S),hAPP_v834067052t_char(val_list_char,V_1_2)),S_1_2))
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2_1,S_1_2),throw_list_char(E_4)),S_1)) ) ) ) ) ) ).
fof(fact_582_CallParamsThrow,axiom,
! [M,Es,Vsa,Ex,Es_1,S_2,Pa,Ea,S_0,V_2,S_1_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,V_2)),S_1_1))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Es,S_1_1),append_exp_list_char(hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vsa),cons_exp_list_char(throw_list_char(Ex),Es_1))),S_2))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,call_list_char(Ea,M,Es),S_0),throw_list_char(Ex)),S_2)) ) ) ).
fof(fact_583_list__eval__Throw,axiom,
! [Vsa,Es_1,Pa,X_1,S,E_1,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,throw_list_char(X_1),S),E_1),S_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,append_exp_list_char(hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vsa),cons_exp_list_char(throw_list_char(X_1),Es_1)),S),append_exp_list_char(hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vsa),cons_exp_list_char(E_1,Es_1))),S_1)) ) ).
fof(fact_584_eval__cases_I9_J,axiom,
! [Pa,E_1_1,E_2_1,S,E_1,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,seq_list_char(E_1_1,E_2_1),S),E_1),S_1))
=> ( ! [V_1,S_1_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S),hAPP_v834067052t_char(val_list_char,V_1)),S_1_2))
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2_1,S_1_2),E_1),S_1)) )
=> ~ ! [E_4] :
( E_1 = throw_list_char(E_4)
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S),throw_list_char(E_4)),S_1)) ) ) ) ).
fof(fact_585_redp__redsp_OCallParams,axiom,
! [V_2,M,Pa,Es,S,Es_1,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(redsp(Pa,Es,S),Es_1),S_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,call_list_char(hAPP_v834067052t_char(val_list_char,V_2),M,Es),S),call_list_char(hAPP_v834067052t_char(val_list_char,V_2),M,Es_1)),S_1)) ) ).
fof(fact_586_evals__final,axiom,
! [Pa,Es,S,Es_1,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Es,S),Es_1),S_1))
=> hBOOL(finals_list_char(Es_1)) ) ).
fof(fact_587_eval__finalsId,axiom,
! [Pa,S,Es] :
( hBOOL(finals_list_char(Es))
=> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Es,S),Es),S)) ) ).
fof(fact_588_evals__hext,axiom,
! [Pa,Es,Ha,L_1,Es_1,H_1,L_2] :
( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Es,hAPP_f1727192346on_val(produc899768717on_val(Ha),L_1)),Es_1),hAPP_f1727192346on_val(produc899768717on_val(H_1),L_2)))
=> hBOOL(hext(Ha,H_1)) ) ).
fof(fact_589_redp__redsp_OListRed2,axiom,
! [V_2,Pa,Es,S,Es_1,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(redsp(Pa,Es,S),Es_1),S_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(redsp(Pa,cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V_2),Es),S),cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V_2),Es_1)),S_1)) ) ).
fof(fact_590_eval__evals_OCons,axiom,
! [Es,Es_1,S_2,Pa,Ea,S_0,V_2,S_1_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,V_2)),S_1_1))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Es,S_1_1),Es_1),S_2))
=> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,cons_exp_list_char(Ea,Es),S_0),cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V_2),Es_1)),S_2)) ) ) ).
fof(fact_591_ConsThrow,axiom,
! [Es,Pa,Ea,S_0,E_1,S_1_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),throw_list_char(E_1)),S_1_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,cons_exp_list_char(Ea,Es),S_0),cons_exp_list_char(throw_list_char(E_1),Es)),S_1_1)) ) ).
fof(fact_592_redp__redsp_OListRed1,axiom,
! [Es,Pa,Ea,S,E_1,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S),E_1),S_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(redsp(Pa,cons_exp_list_char(Ea,Es),S),cons_exp_list_char(E_1,Es)),S_1)) ) ).
fof(fact_593_evals__cases_I2_J,axiom,
! [Pa,Ea,Es,S,E_1,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,cons_exp_list_char(Ea,Es),S),E_1),S_1))
=> ( ! [V_1,S_1_2,Es_2] :
( E_1 = cons_exp_list_char(hAPP_v834067052t_char(val_list_char,V_1),Es_2)
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S),hAPP_v834067052t_char(val_list_char,V_1)),S_1_2))
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(evals(Pa,Es,S_1_2),Es_2),S_1)) ) )
=> ~ ! [E_2] :
( E_1 = cons_exp_list_char(throw_list_char(E_2),Es)
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S),throw_list_char(E_2)),S_1)) ) ) ) ).
fof(fact_594_WTrtThrow,axiom,
! [Ta,Pa,Ha,E,Ea,T_r_1] :
( hBOOL(wTrt(Pa,Ha,E,Ea,T_r_1))
=> ( hBOOL(is_refT(T_r_1))
=> hBOOL(wTrt(Pa,Ha,E,throw_list_char(Ea),Ta)) ) ) ).
fof(fact_595_WTrt__elim__cases_I4_J,axiom,
! [Pa,Ha,E,Ea,Ta] :
( hBOOL(wTrt(Pa,Ha,E,throw_list_char(Ea),Ta))
=> ~ ! [T_r] :
( hBOOL(wTrt(Pa,Ha,E,Ea,T_r))
=> ~ hBOOL(is_refT(T_r)) ) ) ).
fof(fact_596_WhileRedsThrow,axiom,
! [C_3,B,S,Ea,S_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(B),S)),hAPP_P604205461on_val(produc1259058957on_val(throw_list_char(Ea)),S_1)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(while_list_char(B,C_3)),S)),hAPP_P604205461on_val(produc1259058957on_val(throw_list_char(Ea)),S_1)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_597_FAccRedsThrow,axiom,
! [F,D,Ea,S,A,S_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(Ea),S)),hAPP_P604205461on_val(produc1259058957on_val(throw_list_char(A)),S_1)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(fAcc_list_char(Ea,F,D)),S)),hAPP_P604205461on_val(produc1259058957on_val(throw_list_char(A)),S_1)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_598_redp__redsp_OFAccRed,axiom,
! [F,D,Pa,Ea,S,E_1,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S),E_1),S_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAcc_list_char(Ea,F,D),S),fAcc_list_char(E_1,F,D)),S_1)) ) ).
fof(fact_599_eval__evals_OFAccThrow,axiom,
! [F,D,Pa,Ea,S_0,E_1,S_1_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),throw_list_char(E_1)),S_1_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAcc_list_char(Ea,F,D),S_0),throw_list_char(E_1)),S_1_1)) ) ).
fof(fact_600_WhileCondThrow,axiom,
! [C_3,Pa,Ea,S_0,E_1,S_1_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),throw_list_char(E_1)),S_1_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(Ea,C_3),S_0),throw_list_char(E_1)),S_1_1)) ) ).
fof(fact_601_redp__redsp_OFAccThrow,axiom,
! [Pa,Ea,F,D,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAcc_list_char(throw_list_char(Ea),F,D),S),throw_list_char(Ea)),S)) ).
fof(fact_602_red__reds_OFAccRed,axiom,
! [F,D,Ea,S,E_1,S_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(Ea),S)),hAPP_P604205461on_val(produc1259058957on_val(E_1),S_1)),red(Pa)))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(fAcc_list_char(Ea,F,D)),S)),hAPP_P604205461on_val(produc1259058957on_val(fAcc_list_char(E_1,F,D)),S_1)),red(Pa))) ) ).
fof(fact_603_red__reds_OFAccThrow,axiom,
! [Ea,F,D,S,Pa] : hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(fAcc_list_char(throw_list_char(Ea),F,D)),S)),hAPP_P604205461on_val(produc1259058957on_val(throw_list_char(Ea)),S)),red(Pa))) ).
fof(fact_604_FAccReds,axiom,
! [F,D,Ea,S,E_1,S_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(Ea),S)),hAPP_P604205461on_val(produc1259058957on_val(E_1),S_1)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(fAcc_list_char(Ea,F,D)),S)),hAPP_P604205461on_val(produc1259058957on_val(fAcc_list_char(E_1,F,D)),S_1)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_605_WhileTRedsThrow,axiom,
! [C_3,Ea,S_2,B,S_0,S_1_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(B),S_0)),hAPP_P604205461on_val(produc1259058957on_val(hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1_1)),transi2024712006on_val(red(Pa))))
=> ( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(C_3),S_1_1)),hAPP_P604205461on_val(produc1259058957on_val(throw_list_char(Ea)),S_2)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(while_list_char(B,C_3)),S_0)),hAPP_P604205461on_val(produc1259058957on_val(throw_list_char(Ea)),S_2)),transi2024712006on_val(red(Pa)))) ) ) ).
fof(fact_606_WhileT,axiom,
! [E_3,S_3,C_3,V_1_1,S_2,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_3,S_1_1),hAPP_v834067052t_char(val_list_char,V_1_1)),S_2))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(Ea,C_3),S_2),E_3),S_3))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(Ea,C_3),S_0),E_3),S_3)) ) ) ) ).
fof(fact_607_WhileBodyThrow,axiom,
! [C_3,E_1,S_2,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_3,S_1_1),throw_list_char(E_1)),S_2))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,while_list_char(Ea,C_3),S_0),throw_list_char(E_1)),S_2)) ) ) ).
fof(fact_608_WhileTReds,axiom,
! [Ea,S_3,C_3,V_1_1,S_2,B,S_0,S_1_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(B),S_0)),hAPP_P604205461on_val(produc1259058957on_val(hAPP_v834067052t_char(val_list_char,bool(fTrue))),S_1_1)),transi2024712006on_val(red(Pa))))
=> ( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(C_3),S_1_1)),hAPP_P604205461on_val(produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_1_1)),S_2)),transi2024712006on_val(red(Pa))))
=> ( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(while_list_char(B,C_3)),S_2)),hAPP_P604205461on_val(produc1259058957on_val(Ea),S_3)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(while_list_char(B,C_3)),S_0)),hAPP_P604205461on_val(produc1259058957on_val(Ea),S_3)),transi2024712006on_val(red(Pa)))) ) ) ) ).
fof(fact_609_binop_Osimps_I1_J,axiom,
! [V_1_1,V_2_1] : binop(hAPP_P929466802al_val(produc621191550al_val(c_Expr_Obop_OEq),hAPP_v852496844al_val(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_610_WhileFReds,axiom,
! [C_3,B,S,S_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(B),S)),hAPP_P604205461on_val(produc1259058957on_val(hAPP_v834067052t_char(val_list_char,bool(fFalse))),S_1)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(while_list_char(B,C_3)),S)),hAPP_P604205461on_val(produc1259058957on_val(hAPP_v834067052t_char(val_list_char,unit)),S_1)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_611_FAcc,axiom,
! [F,D,V_2,C,Fs,Pa,Ea,S_0,A,Ha,L_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,addr(A))),hAPP_f1727192346on_val(produc899768717on_val(Ha),L_1)))
=> ( hAPP_n546249108on_val(Ha,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(produc823076510on_val(C),Fs))
=> ( hAPP_P2094403585on_val(Fs,hAPP_l2100324114t_char(produc5062597t_char(F),D)) = hAPP_val_option_val(some_val,V_2)
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAcc_list_char(Ea,F,D),S_0),hAPP_v834067052t_char(val_list_char,V_2)),hAPP_f1727192346on_val(produc899768717on_val(Ha),L_1))) ) ) ) ).
fof(fact_612_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_613_WhileF,axiom,
! [C_3,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_3),S_0),hAPP_v834067052t_char(val_list_char,unit)),S_1_1)) ) ).
fof(fact_614_FAccRedsVal,axiom,
! [F,D,V_2,C,Fs,Ea,S,A,S_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(Ea),S)),hAPP_P604205461on_val(produc1259058957on_val(hAPP_v834067052t_char(val_list_char,addr(A))),S_1)),transi2024712006on_val(red(Pa))))
=> ( hAPP_n546249108on_val(hp(S_1),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(produc823076510on_val(C),Fs))
=> ( hAPP_P2094403585on_val(Fs,hAPP_l2100324114t_char(produc5062597t_char(F),D)) = hAPP_val_option_val(some_val,V_2)
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(fAcc_list_char(Ea,F,D)),S)),hAPP_P604205461on_val(produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_2)),S_1)),transi2024712006on_val(red(Pa)))) ) ) ) ).
fof(fact_615_red__reds_ORedFAcc,axiom,
! [Pa,F,D,V_2,S,A,C,Fs] :
( hAPP_n546249108on_val(hp(S),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(produc823076510on_val(C),Fs))
=> ( hAPP_P2094403585on_val(Fs,hAPP_l2100324114t_char(produc5062597t_char(F),D)) = hAPP_val_option_val(some_val,V_2)
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(fAcc_list_char(hAPP_v834067052t_char(val_list_char,addr(A)),F,D)),S)),hAPP_P604205461on_val(produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_2)),S)),red(Pa))) ) ) ).
fof(fact_616_redp__redsp_ORedFAcc,axiom,
! [Pa,F,D,V_2,S,A,C,Fs] :
( hAPP_n546249108on_val(hp(S),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(produc823076510on_val(C),Fs))
=> ( hAPP_P2094403585on_val(Fs,hAPP_l2100324114t_char(produc5062597t_char(F),D)) = hAPP_val_option_val(some_val,V_2)
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAcc_list_char(hAPP_v834067052t_char(val_list_char,addr(A)),F,D),S),hAPP_v834067052t_char(val_list_char,V_2)),S)) ) ) ).
fof(fact_617_reds__preserves__sconf,axiom,
! [E,Tsa,Es,S,Es_1,S_1,Pa] :
( hBOOL(member875476972on_val(hAPP_P658340954on_val(produc1611380469on_val(hAPP_P1963616220on_val(produc379668296on_val(Es),S)),hAPP_P1963616220on_val(produc379668296on_val(Es_1),S_1)),reds(Pa)))
=> ( hBOOL(wTrts(Pa,hp(S),E,Es,Tsa))
=> ( hBOOL(hAPP_P159683425l_bool(typeSa807100911_sconf(Pa,E),S))
=> hBOOL(hAPP_P159683425l_bool(typeSa807100911_sconf(Pa,E),S_1)) ) ) ) ).
fof(fact_618_TryRedsFail,axiom,
! [V,E_2_1,C,D,Fs,E_1_1,S,A,Ha,L_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(E_1_1),S)),hAPP_P604205461on_val(produc1259058957on_val(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),hAPP_f1727192346on_val(produc899768717on_val(Ha),L_1))),transi2024712006on_val(red(Pa))))
=> ( hAPP_n546249108on_val(Ha,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(produc823076510on_val(D),Fs))
=> ( ~ hBOOL(member1251428284t_char(hAPP_l2100324114t_char(produc5062597t_char(D),C),transi1395422419t_char(subcls851966956t_char(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(tryCatch_list_char(E_1_1,C,V,E_2_1)),S)),hAPP_P604205461on_val(produc1259058957on_val(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),hAPP_f1727192346on_val(produc899768717on_val(Ha),L_1))),transi2024712006on_val(red(Pa)))) ) ) ) ).
fof(fact_619_red__reds_ORedTryFail,axiom,
! [V,E_2_1,C,Pa,S,A,D,Fs] :
( hAPP_n546249108on_val(hp(S),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(produc823076510on_val(D),Fs))
=> ( ~ hBOOL(member1251428284t_char(hAPP_l2100324114t_char(produc5062597t_char(D),C),transi1395422419t_char(subcls851966956t_char(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(tryCatch_list_char(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A))),C,V,E_2_1)),S)),hAPP_P604205461on_val(produc1259058957on_val(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),S)),red(Pa))) ) ) ).
fof(fact_620_TryThrow,axiom,
! [V,E_2_1,C,D,Fs,Pa,E_1_1,S_0,A,H_1_1,L_1_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),hAPP_f1727192346on_val(produc899768717on_val(H_1_1),L_1_1)))
=> ( hAPP_n546249108on_val(H_1_1,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(produc823076510on_val(D),Fs))
=> ( ~ hBOOL(member1251428284t_char(hAPP_l2100324114t_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_1),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),hAPP_f1727192346on_val(produc899768717on_val(H_1_1),L_1_1))) ) ) ) ).
fof(fact_621_red__preserves__sconf,axiom,
! [E,Ta,Ea,S,E_1,S_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(Ea),S)),hAPP_P604205461on_val(produc1259058957on_val(E_1),S_1)),red(Pa)))
=> ( hBOOL(wTrt(Pa,hp(S),E,Ea,Ta))
=> ( hBOOL(hAPP_P159683425l_bool(typeSa807100911_sconf(Pa,E),S))
=> hBOOL(hAPP_P159683425l_bool(typeSa807100911_sconf(Pa,E),S_1)) ) ) ) ).
fof(fact_622_TryCatchRedsFinal,axiom,
! [E_2_1,V,E_2_2,H_2,L_2_1,C,D,Fs,E_1_1,S_0,A,H_1_1,L_1_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(E_1_1),S_0)),hAPP_P604205461on_val(produc1259058957on_val(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),hAPP_f1727192346on_val(produc899768717on_val(H_1_1),L_1_1))),transi2024712006on_val(red(Pa))))
=> ( hAPP_n546249108on_val(H_1_1,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(produc823076510on_val(D),Fs))
=> ( hBOOL(member1251428284t_char(hAPP_l2100324114t_char(produc5062597t_char(D),C),transi1395422419t_char(subcls851966956t_char(Pa))))
=> ( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(E_2_1),hAPP_f1727192346on_val(produc899768717on_val(H_1_1),fun_up1149430426on_val(L_1_1,V,hAPP_val_option_val(some_val,addr(A)))))),hAPP_P604205461on_val(produc1259058957on_val(E_2_2),hAPP_f1727192346on_val(produc899768717on_val(H_2),L_2_1))),transi2024712006on_val(red(Pa))))
=> ( hBOOL(final_list_char(E_2_2))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(tryCatch_list_char(E_1_1,C,V,E_2_1)),S_0)),hAPP_P604205461on_val(produc1259058957on_val(E_2_2),hAPP_f1727192346on_val(produc899768717on_val(H_2),fun_up1149430426on_val(L_2_1,V,hAPP_l207779698on_val(L_1_1,V))))),transi2024712006on_val(red(Pa)))) ) ) ) ) ) ).
fof(fact_623_CastRedsAddr,axiom,
! [C,D,Fs,Ea,S,A,S_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(Ea),S)),hAPP_P604205461on_val(produc1259058957on_val(hAPP_v834067052t_char(val_list_char,addr(A))),S_1)),transi2024712006on_val(red(Pa))))
=> ( hAPP_n546249108on_val(hp(S_1),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(produc823076510on_val(D),Fs))
=> ( hBOOL(member1251428284t_char(hAPP_l2100324114t_char(produc5062597t_char(D),C),transi1395422419t_char(subcls851966956t_char(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(cast_list_char(C,Ea)),S)),hAPP_P604205461on_val(produc1259058957on_val(hAPP_v834067052t_char(val_list_char,addr(A))),S_1)),transi2024712006on_val(red(Pa)))) ) ) ) ).
fof(fact_624_red__reds_ORedCast,axiom,
! [C,Pa,S,A,D,Fs] :
( hAPP_n546249108on_val(hp(S),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(produc823076510on_val(D),Fs))
=> ( hBOOL(member1251428284t_char(hAPP_l2100324114t_char(produc5062597t_char(D),C),transi1395422419t_char(subcls851966956t_char(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(cast_list_char(C,hAPP_v834067052t_char(val_list_char,addr(A)))),S)),hAPP_P604205461on_val(produc1259058957on_val(hAPP_v834067052t_char(val_list_char,addr(A))),S)),red(Pa))) ) ) ).
fof(fact_625_redp__redsp_OCastRed,axiom,
! [C,Pa,Ea,S,E_1,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S),E_1),S_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cast_list_char(C,Ea),S),cast_list_char(C,E_1)),S_1)) ) ).
fof(fact_626_eval__evals_OCastThrow,axiom,
! [C,Pa,Ea,S_0,E_1,S_1_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),throw_list_char(E_1)),S_1_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,cast_list_char(C,Ea),S_0),throw_list_char(E_1)),S_1_1)) ) ).
fof(fact_627_redp__redsp_OCastThrow,axiom,
! [Pa,C,Ea,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cast_list_char(C,throw_list_char(Ea)),S),throw_list_char(Ea)),S)) ).
fof(fact_628_red__reds_OCastRed,axiom,
! [C,Ea,S,E_1,S_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(Ea),S)),hAPP_P604205461on_val(produc1259058957on_val(E_1),S_1)),red(Pa)))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(cast_list_char(C,Ea)),S)),hAPP_P604205461on_val(produc1259058957on_val(cast_list_char(C,E_1)),S_1)),red(Pa))) ) ).
fof(fact_629_red__reds_OCastThrow,axiom,
! [C,Ea,S,Pa] : hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(cast_list_char(C,throw_list_char(Ea))),S)),hAPP_P604205461on_val(produc1259058957on_val(throw_list_char(Ea)),S)),red(Pa))) ).
fof(fact_630_CastReds,axiom,
! [C,Ea,S,E_1,S_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(Ea),S)),hAPP_P604205461on_val(produc1259058957on_val(E_1),S_1)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(cast_list_char(C,Ea)),S)),hAPP_P604205461on_val(produc1259058957on_val(cast_list_char(C,E_1)),S_1)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_631_CastRedsThrow,axiom,
! [C,Ea,S,A,S_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(Ea),S)),hAPP_P604205461on_val(produc1259058957on_val(throw_list_char(A)),S_1)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(cast_list_char(C,Ea)),S)),hAPP_P604205461on_val(produc1259058957on_val(throw_list_char(A)),S_1)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_632_Cast,axiom,
! [C,D,Fs,Pa,Ea,S_0,A,Ha,L_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,addr(A))),hAPP_f1727192346on_val(produc899768717on_val(Ha),L_1)))
=> ( hAPP_n546249108on_val(Ha,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(produc823076510on_val(D),Fs))
=> ( hBOOL(member1251428284t_char(hAPP_l2100324114t_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))),hAPP_f1727192346on_val(produc899768717on_val(Ha),L_1))) ) ) ) ).
fof(fact_633_TryCatch,axiom,
! [E_2_1,V,E_2_2,H_2,L_2_1,C,D,Fs,Pa,E_1_1,S_0,A,H_1_1,L_1_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_1_1,S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A)))),hAPP_f1727192346on_val(produc899768717on_val(H_1_1),L_1_1)))
=> ( hAPP_n546249108on_val(H_1_1,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(produc823076510on_val(D),Fs))
=> ( hBOOL(member1251428284t_char(hAPP_l2100324114t_char(produc5062597t_char(D),C),transi1395422419t_char(subcls851966956t_char(Pa))))
=> ( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,E_2_1,hAPP_f1727192346on_val(produc899768717on_val(H_1_1),fun_up1149430426on_val(L_1_1,V,hAPP_val_option_val(some_val,addr(A))))),E_2_2),hAPP_f1727192346on_val(produc899768717on_val(H_2),L_2_1)))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,tryCatch_list_char(E_1_1,C,V,E_2_1),S_0),E_2_2),hAPP_f1727192346on_val(produc899768717on_val(H_2),fun_up1149430426on_val(L_2_1,V,hAPP_l207779698on_val(L_1_1,V))))) ) ) ) ) ).
fof(fact_634_CastRedsFail,axiom,
! [C,D,Fs,Ea,S,A,S_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(Ea),S)),hAPP_P604205461on_val(produc1259058957on_val(hAPP_v834067052t_char(val_list_char,addr(A))),S_1)),transi2024712006on_val(red(Pa))))
=> ( hAPP_n546249108on_val(hp(S_1),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(produc823076510on_val(D),Fs))
=> ( ~ hBOOL(member1251428284t_char(hAPP_l2100324114t_char(produc5062597t_char(D),C),transi1395422419t_char(subcls851966956t_char(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(cast_list_char(C,Ea)),S)),hAPP_P604205461on_val(produc1259058957on_val(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(classCast))))),S_1)),transi2024712006on_val(red(Pa)))) ) ) ) ).
fof(fact_635_red__reds_ORedCastFail,axiom,
! [C,Pa,S,A,D,Fs] :
( hAPP_n546249108on_val(hp(S),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(produc823076510on_val(D),Fs))
=> ( ~ hBOOL(member1251428284t_char(hAPP_l2100324114t_char(produc5062597t_char(D),C),transi1395422419t_char(subcls851966956t_char(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(cast_list_char(C,hAPP_v834067052t_char(val_list_char,addr(A)))),S)),hAPP_P604205461on_val(produc1259058957on_val(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(classCast))))),S)),red(Pa))) ) ) ).
fof(fact_636_red__reds_ORedCall,axiom,
! [Vsa,Pa,M,Tsa,Ta,Pns,Body,D,S,A,C,Fs] :
( hAPP_n546249108on_val(hp(S),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(produc823076510on_val(C),Fs))
=> ( hBOOL(hAPP_list_char_bool(method1809630380t_char(Pa,C,M,Tsa,Ta,hAPP_e952791821t_char(produc1147572817t_char(Pns),Body)),D))
=> ( size_size_list_val(Vsa) = size_s2113983095t_char(Pns)
=> ( size_size_list_ty(Tsa) = size_s2113983095t_char(Pns)
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(call_list_char(hAPP_v834067052t_char(val_list_char,addr(A)),M,hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vsa))),S)),hAPP_P604205461on_val(produc1259058957on_val(blocks(hAPP_P767818445t_char(produc921874948t_char(cons_list_char(this,Pns)),hAPP_P1392904962t_char(produc1909267824t_char(cons_ty(class(D),Tsa)),hAPP_e1752110927t_char(produc1916172923t_char(cons_val(addr(A),Vsa)),Body))))),S)),red(Pa))) ) ) ) ) ).
fof(fact_637_WTrtTry,axiom,
! [V,C,E_2_1,T_2,Pa,Ha,E,E_1_1,T_1_1] :
( hBOOL(wTrt(Pa,Ha,E,E_1_1,T_1_1))
=> ( hBOOL(wTrt(Pa,Ha,fun_up424764369ion_ty(E,V,hAPP_ty_option_ty(some_ty,class(C))),E_2_1,T_2))
=> ( hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_1_1),T_2))
=> hBOOL(wTrt(Pa,Ha,E,tryCatch_list_char(E_1_1,C,V,E_2_1),T_2)) ) ) ) ).
fof(fact_638_WTrtCall,axiom,
! [Es,Ts_1,M,Tsa,Ta,Pns,Body,D,Pa,Ha,E,Ea,C] :
( hBOOL(wTrt(Pa,Ha,E,Ea,class(C)))
=> ( hBOOL(hAPP_list_char_bool(method1809630380t_char(Pa,C,M,Tsa,Ta,hAPP_e952791821t_char(produc1147572817t_char(Pns),Body)),D))
=> ( hBOOL(wTrts(Pa,Ha,E,Es,Ts_1))
=> ( hBOOL(list_all2_ty_ty(widen_2090681816t_char(Pa),Ts_1,Tsa))
=> hBOOL(wTrt(Pa,Ha,E,call_list_char(Ea,M,Es),Ta)) ) ) ) ) ).
fof(fact_639_hext__upd__obj,axiom,
! [Fs_1,Ha,A,C,Fs] :
( hAPP_n546249108on_val(Ha,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(produc823076510on_val(C),Fs))
=> hBOOL(hext(Ha,fun_up2041264236on_val(Ha,A,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(produc823076510on_val(C),Fs_1))))) ) ).
fof(fact_640_FAss,axiom,
! [H_2_1,Fs_1,F,D,C,Fs,E_2_1,V_2,H_2,L_2_1,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_1,S_1_1),hAPP_v834067052t_char(val_list_char,V_2)),hAPP_f1727192346on_val(produc899768717on_val(H_2),L_2_1)))
=> ( hAPP_n546249108on_val(H_2,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(produc823076510on_val(C),Fs))
=> ( Fs_1 = fun_up204312361on_val(Fs,hAPP_l2100324114t_char(produc5062597t_char(F),D),hAPP_val_option_val(some_val,V_2))
=> ( H_2_1 = fun_up2041264236on_val(H_2,A,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(produc823076510on_val(C),Fs_1)))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAss_list_char(E_1_1,F,D,E_2_1),S_0),hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(produc899768717on_val(H_2_1),L_2_1))) ) ) ) ) ) ).
fof(fact_641_redp__redsp_ORedFAss,axiom,
! [Pa,F,D,V_2,L_1,Ha,A,C,Fs] :
( hAPP_n546249108on_val(Ha,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_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_2)),hAPP_f1727192346on_val(produc899768717on_val(Ha),L_1)),hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(produc899768717on_val(fun_up2041264236on_val(Ha,A,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(produc823076510on_val(C),fun_up204312361on_val(Fs,hAPP_l2100324114t_char(produc5062597t_char(F),D),hAPP_val_option_val(some_val,V_2)))))),L_1))) ) ).
fof(fact_642_red__reds_ORedFAss,axiom,
! [F,D,V_2,L_1,Pa,Ha,A,C,Fs] :
( hAPP_n546249108on_val(Ha,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(produc823076510on_val(C),Fs))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(fAss_list_char(hAPP_v834067052t_char(val_list_char,addr(A)),F,D,hAPP_v834067052t_char(val_list_char,V_2))),hAPP_f1727192346on_val(produc899768717on_val(Ha),L_1))),hAPP_P604205461on_val(produc1259058957on_val(hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(produc899768717on_val(fun_up2041264236on_val(Ha,A,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(produc823076510on_val(C),fun_up204312361on_val(Fs,hAPP_l2100324114t_char(produc5062597t_char(F),D),hAPP_val_option_val(some_val,V_2)))))),L_1))),red(Pa))) ) ).
fof(fact_643_FAssRedsVal,axiom,
! [F,D,C,Fs,E_2_1,V_2,H_2,L_2_1,E_1_1,S_0,A,S_1_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(E_1_1),S_0)),hAPP_P604205461on_val(produc1259058957on_val(hAPP_v834067052t_char(val_list_char,addr(A))),S_1_1)),transi2024712006on_val(red(Pa))))
=> ( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(E_2_1),S_1_1)),hAPP_P604205461on_val(produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_2)),hAPP_f1727192346on_val(produc899768717on_val(H_2),L_2_1))),transi2024712006on_val(red(Pa))))
=> ( hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(produc823076510on_val(C),Fs)) = hAPP_n546249108on_val(H_2,A)
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(fAss_list_char(E_1_1,F,D,E_2_1)),S_0)),hAPP_P604205461on_val(produc1259058957on_val(hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(produc899768717on_val(fun_up2041264236on_val(H_2,A,hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(produc823076510on_val(C),fun_up204312361on_val(Fs,hAPP_l2100324114t_char(produc5062597t_char(F),D),hAPP_val_option_val(some_val,V_2)))))),L_2_1))),transi2024712006on_val(red(Pa)))) ) ) ) ).
fof(fact_644_CastFail,axiom,
! [C,D,Fs,Pa,Ea,S_0,A,Ha,L_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,addr(A))),hAPP_f1727192346on_val(produc899768717on_val(Ha),L_1)))
=> ( hAPP_n546249108on_val(Ha,A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(produc823076510on_val(D),Fs))
=> ( ~ hBOOL(member1251428284t_char(hAPP_l2100324114t_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))))),hAPP_f1727192346on_val(produc899768717on_val(Ha),L_1))) ) ) ) ).
fof(fact_645_redp__redsp_ORedCall,axiom,
! [Vsa,Pa,M,Tsa,Ta,Pns,Body,D,S,A,C,Fs] :
( hAPP_n546249108on_val(hp(S),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(produc823076510on_val(C),Fs))
=> ( hBOOL(hAPP_list_char_bool(method1809630380t_char(Pa,C,M,Tsa,Ta,hAPP_e952791821t_char(produc1147572817t_char(Pns),Body)),D))
=> ( size_size_list_val(Vsa) = size_s2113983095t_char(Pns)
=> ( size_size_list_ty(Tsa) = size_s2113983095t_char(Pns)
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,call_list_char(hAPP_v834067052t_char(val_list_char,addr(A)),M,hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vsa)),S),blocks(hAPP_P767818445t_char(produc921874948t_char(cons_list_char(this,Pns)),hAPP_P1392904962t_char(produc1909267824t_char(cons_ty(class(D),Tsa)),hAPP_e1752110927t_char(produc1916172923t_char(cons_val(addr(A),Vsa)),Body))))),S)) ) ) ) ) ).
fof(fact_646_WTrt__elim__cases_I5_J,axiom,
! [Pa,Ha,E,E_1_1,C,V,E_2_1,Ta] :
( hBOOL(wTrt(Pa,Ha,E,tryCatch_list_char(E_1_1,C,V,E_2_1),Ta))
=> ~ ! [T_1] :
( hBOOL(wTrt(Pa,Ha,E,E_1_1,T_1))
=> ( hBOOL(wTrt(Pa,Ha,fun_up424764369ion_ty(E,V,hAPP_ty_option_ty(some_ty,class(C))),E_2_1,Ta))
=> ~ hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(widen_2090681816t_char(Pa),T_1),Ta)) ) ) ) ).
fof(fact_647_CallRedsNull,axiom,
! [M,Es,Vsa,S_2,Ea,S_0,S_1_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(Ea),S_0)),hAPP_P604205461on_val(produc1259058957on_val(hAPP_v834067052t_char(val_list_char,null)),S_1_1)),transi2024712006on_val(red(Pa))))
=> ( hBOOL(member875476972on_val(hAPP_P658340954on_val(produc1611380469on_val(hAPP_P1963616220on_val(produc379668296on_val(Es),S_1_1)),hAPP_P1963616220on_val(produc379668296on_val(hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vsa)),S_2)),transi374442731on_val(reds(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(call_list_char(Ea,M,Es)),S_0)),hAPP_P604205461on_val(produc1259058957on_val(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_2)),transi2024712006on_val(red(Pa)))) ) ) ).
fof(fact_648_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_649_redp__redsp_ORedThrowNull,axiom,
! [Pa,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,throw_list_char(hAPP_v834067052t_char(val_list_char,null)),S),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S)) ).
fof(fact_650_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_651_redp__redsp_ORedCastNull,axiom,
! [Pa,C,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,cast_list_char(C,hAPP_v834067052t_char(val_list_char,null)),S),hAPP_v834067052t_char(val_list_char,null)),S)) ).
fof(fact_652_FAssNull,axiom,
! [F,D,E_2_1,V_2,S_2,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_1,S_1_1),hAPP_v834067052t_char(val_list_char,V_2)),S_2))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,fAss_list_char(E_1_1,F,D,E_2_1),S_0),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_2)) ) ) ).
fof(fact_653_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_654_redp__redsp_ORedFAssNull,axiom,
! [Pa,F,D,V_2,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAss_list_char(hAPP_v834067052t_char(val_list_char,null),F,D,hAPP_v834067052t_char(val_list_char,V_2)),S),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S)) ).
fof(fact_655_redp__redsp_ORedFAccNull,axiom,
! [Pa,F,D,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,fAcc_list_char(hAPP_v834067052t_char(val_list_char,null),F,D),S),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S)) ).
fof(fact_656_red__reds_ORedThrowNull,axiom,
! [S,Pa] : hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(throw_list_char(hAPP_v834067052t_char(val_list_char,null))),S)),hAPP_P604205461on_val(produc1259058957on_val(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S)),red(Pa))) ).
fof(fact_657_redp__redsp_ORedCallNull,axiom,
! [Pa,M,Vsa,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,call_list_char(hAPP_v834067052t_char(val_list_char,null),M,hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vsa)),S),throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S)) ).
fof(fact_658_ThrowRedsNull,axiom,
! [Ea,S,S_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(Ea),S)),hAPP_P604205461on_val(produc1259058957on_val(hAPP_v834067052t_char(val_list_char,null)),S_1)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(throw_list_char(Ea)),S)),hAPP_P604205461on_val(produc1259058957on_val(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_1)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_659_red__reds_ORedFAssNull,axiom,
! [F,D,V_2,S,Pa] : hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(fAss_list_char(hAPP_v834067052t_char(val_list_char,null),F,D,hAPP_v834067052t_char(val_list_char,V_2))),S)),hAPP_P604205461on_val(produc1259058957on_val(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S)),red(Pa))) ).
fof(fact_660_red__reds_ORedFAccNull,axiom,
! [F,D,S,Pa] : hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(fAcc_list_char(hAPP_v834067052t_char(val_list_char,null),F,D)),S)),hAPP_P604205461on_val(produc1259058957on_val(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S)),red(Pa))) ).
fof(fact_661_CallNull,axiom,
! [M,Ps,Vsa,S_2,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),hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vsa)),S_2))
=> 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)) ) ) ).
fof(fact_662_FAssRedsNull,axiom,
! [F,D,E_2_1,V_2,S_2,E_1_1,S_0,S_1_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(E_1_1),S_0)),hAPP_P604205461on_val(produc1259058957on_val(hAPP_v834067052t_char(val_list_char,null)),S_1_1)),transi2024712006on_val(red(Pa))))
=> ( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(E_2_1),S_1_1)),hAPP_P604205461on_val(produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_2)),S_2)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(fAss_list_char(E_1_1,F,D,E_2_1)),S_0)),hAPP_P604205461on_val(produc1259058957on_val(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_2)),transi2024712006on_val(red(Pa)))) ) ) ).
fof(fact_663_FAccRedsNull,axiom,
! [F,D,Ea,S,S_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(Ea),S)),hAPP_P604205461on_val(produc1259058957on_val(hAPP_v834067052t_char(val_list_char,null)),S_1)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(fAcc_list_char(Ea,F,D)),S)),hAPP_P604205461on_val(produc1259058957on_val(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S_1)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_664_red__reds_ORedCallNull,axiom,
! [M,Vsa,S,Pa] : hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(call_list_char(hAPP_v834067052t_char(val_list_char,null),M,hAPP_l732421366t_char(map_va1934808527t_char(val_list_char),Vsa))),S)),hAPP_P604205461on_val(produc1259058957on_val(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(addr_of_sys_xcpt(nullPointer))))),S)),red(Pa))) ).
fof(fact_665_red__reds_ORedCastNull,axiom,
! [C,S,Pa] : hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(cast_list_char(C,hAPP_v834067052t_char(val_list_char,null))),S)),hAPP_P604205461on_val(produc1259058957on_val(hAPP_v834067052t_char(val_list_char,null)),S)),red(Pa))) ).
fof(fact_666_CastRedsNull,axiom,
! [C,Ea,S,S_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(Ea),S)),hAPP_P604205461on_val(produc1259058957on_val(hAPP_v834067052t_char(val_list_char,null)),S_1)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(cast_list_char(C,Ea)),S)),hAPP_P604205461on_val(produc1259058957on_val(hAPP_v834067052t_char(val_list_char,null)),S_1)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_667_eval__cases_I12_J,axiom,
! [Pa,Ea,S,E_1,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,throw_list_char(Ea),S),E_1),S_1))
=> ( ! [A_1] :
( E_1 = throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1)))
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S),hAPP_v834067052t_char(val_list_char,addr(A_1))),S_1)) )
=> ( ( E_1 = 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),hAPP_v834067052t_char(val_list_char,null)),S_1)) )
=> ~ ! [E_2] :
( E_1 = throw_list_char(E_2)
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S),throw_list_char(E_2)),S_1)) ) ) ) ) ).
fof(fact_668_default__val_Osimps_I5_J,axiom,
! [C_2] : hAPP_ty_val(default_val,class(C_2)) = null ).
fof(fact_669_val_Osimps_I3_J,axiom,
! [Nat_2,Nat_1] :
( addr(Nat_2) = addr(Nat_1)
<=> Nat_2 = Nat_1 ) ).
fof(fact_670_val_Osimps_I1_J,axiom,
! [Bool_1,Bool] :
( bool(Bool_1) = bool(Bool)
<=> ( hBOOL(Bool_1)
<=> hBOOL(Bool) ) ) ).
fof(fact_671_val_Osimps_I17_J,axiom,
! [Nat] : addr(Nat) != null ).
fof(fact_672_val_Osimps_I16_J,axiom,
! [Nat] : null != addr(Nat) ).
fof(fact_673_val_Osimps_I20_J,axiom,
! [Bool_1,Nat_1] : bool(Bool_1) != addr(Nat_1) ).
fof(fact_674_val_Osimps_I21_J,axiom,
! [Nat_1,Bool_1] : addr(Nat_1) != bool(Bool_1) ).
fof(fact_675_val_Osimps_I10_J,axiom,
! [Nat] : unit != addr(Nat) ).
fof(fact_676_val_Osimps_I11_J,axiom,
! [Nat] : addr(Nat) != unit ).
fof(fact_677_val_Osimps_I13_J,axiom,
! [Bool] : bool(Bool) != null ).
fof(fact_678_val_Osimps_I12_J,axiom,
! [Bool] : null != bool(Bool) ).
fof(fact_679_val_Osimps_I4_J,axiom,
unit != null ).
fof(fact_680_val_Osimps_I5_J,axiom,
null != unit ).
fof(fact_681_val_Osimps_I7_J,axiom,
! [Bool] : bool(Bool) != unit ).
fof(fact_682_val_Osimps_I6_J,axiom,
! [Bool] : unit != bool(Bool) ).
fof(fact_683_finalRefE,axiom,
! [Pa,Ha,E,Ea,Ta] :
( hBOOL(wTrt(Pa,Ha,E,Ea,Ta))
=> ( hBOOL(is_refT(Ta))
=> ( 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_1] : Ta != class(C_1) )
=> ~ ! [A_1] : Ea != throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A_1))) ) ) ) ) ) ).
fof(fact_684_final__addrE,axiom,
! [Pa,Ha,E,Ea,C] :
( hBOOL(wTrt(Pa,Ha,E,Ea,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_685_LAssRedsVal,axiom,
! [V,Ea,S,V_2,H_1,L_2,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(Ea),S)),hAPP_P604205461on_val(produc1259058957on_val(hAPP_v834067052t_char(val_list_char,V_2)),hAPP_f1727192346on_val(produc899768717on_val(H_1),L_2))),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(lAss_list_char(V,Ea)),S)),hAPP_P604205461on_val(produc1259058957on_val(hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(produc899768717on_val(H_1),fun_up1149430426on_val(L_2,V,hAPP_val_option_val(some_val,V_2))))),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_686_redp__redsp_OLAssRed,axiom,
! [V,Pa,Ea,S,E_1,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,Ea,S),E_1),S_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,lAss_list_char(V,Ea),S),lAss_list_char(V,E_1)),S_1)) ) ).
fof(fact_687_eval__evals_OLAssThrow,axiom,
! [V,Pa,Ea,S_0,E_1,S_1_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),throw_list_char(E_1)),S_1_1))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,lAss_list_char(V,Ea),S_0),throw_list_char(E_1)),S_1_1)) ) ).
fof(fact_688_redp__redsp_OLAssThrow,axiom,
! [Pa,V,Ea,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,lAss_list_char(V,throw_list_char(Ea)),S),throw_list_char(Ea)),S)) ).
fof(fact_689_red__reds_OLAssRed,axiom,
! [V,Ea,S,E_1,S_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(Ea),S)),hAPP_P604205461on_val(produc1259058957on_val(E_1),S_1)),red(Pa)))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(lAss_list_char(V,Ea)),S)),hAPP_P604205461on_val(produc1259058957on_val(lAss_list_char(V,E_1)),S_1)),red(Pa))) ) ).
fof(fact_690_red__reds_OLAssThrow,axiom,
! [V,Ea,S,Pa] : hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(lAss_list_char(V,throw_list_char(Ea))),S)),hAPP_P604205461on_val(produc1259058957on_val(throw_list_char(Ea)),S)),red(Pa))) ).
fof(fact_691_LAssReds,axiom,
! [V,Ea,S,E_1,S_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(Ea),S)),hAPP_P604205461on_val(produc1259058957on_val(E_1),S_1)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(lAss_list_char(V,Ea)),S)),hAPP_P604205461on_val(produc1259058957on_val(lAss_list_char(V,E_1)),S_1)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_692_LAssRedsThrow,axiom,
! [V,Ea,S,A,S_1,Pa] :
( hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(Ea),S)),hAPP_P604205461on_val(produc1259058957on_val(throw_list_char(A)),S_1)),transi2024712006on_val(red(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(lAss_list_char(V,Ea)),S)),hAPP_P604205461on_val(produc1259058957on_val(throw_list_char(A)),S_1)),transi2024712006on_val(red(Pa)))) ) ).
fof(fact_693_LAss,axiom,
! [L_2,V,Pa,Ea,S_0,V_2,Ha,L_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S_0),hAPP_v834067052t_char(val_list_char,V_2)),hAPP_f1727192346on_val(produc899768717on_val(Ha),L_1)))
=> ( L_2 = fun_up1149430426on_val(L_1,V,hAPP_val_option_val(some_val,V_2))
=> hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,lAss_list_char(V,Ea),S_0),hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(produc899768717on_val(Ha),L_2))) ) ) ).
fof(fact_694_redp__redsp_ORedLAss,axiom,
! [Pa,V,V_2,Ha,L_1] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_2)),hAPP_f1727192346on_val(produc899768717on_val(Ha),L_1)),hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(produc899768717on_val(Ha),fun_up1149430426on_val(L_1,V,hAPP_val_option_val(some_val,V_2))))) ).
fof(fact_695_red__reds_ORedLAss,axiom,
! [V,V_2,Ha,L_1,Pa] : hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,V_2))),hAPP_f1727192346on_val(produc899768717on_val(Ha),L_1))),hAPP_P604205461on_val(produc1259058957on_val(hAPP_v834067052t_char(val_list_char,unit)),hAPP_f1727192346on_val(produc899768717on_val(Ha),fun_up1149430426on_val(L_1,V,hAPP_val_option_val(some_val,V_2))))),red(Pa))) ).
fof(fact_696_red__reds_ORedTryCatch,axiom,
! [V,E_2_1,C,Pa,S,A,D,Fs] :
( hAPP_n546249108on_val(hp(S),A) = hAPP_P1510515380on_val(some_P948696889on_val,hAPP_f900686428on_val(produc823076510on_val(D),Fs))
=> ( hBOOL(member1251428284t_char(hAPP_l2100324114t_char(produc5062597t_char(D),C),transi1395422419t_char(subcls851966956t_char(Pa))))
=> hBOOL(member773094996on_val(hAPP_P1886180715on_val(produc1441475159on_val(hAPP_P604205461on_val(produc1259058957on_val(tryCatch_list_char(throw_list_char(hAPP_v834067052t_char(val_list_char,addr(A))),C,V,E_2_1)),S)),hAPP_P604205461on_val(produc1259058957on_val(block_list_char(V,class(C),seq_list_char(lAss_list_char(V,hAPP_v834067052t_char(val_list_char,addr(A))),E_2_1))),S)),red(Pa))) ) ) ).
fof(fact_697_eval__cases_I4_J,axiom,
! [Pa,V,Ea,S,E_1,S_1] :
( hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,lAss_list_char(V,Ea),S),E_1),S_1))
=> ( ( E_1 = hAPP_v834067052t_char(val_list_char,unit)
=> ! [V_1,H,L] :
( S_1 = hAPP_f1727192346on_val(produc899768717on_val(H),fun_up1149430426on_val(L,V,hAPP_val_option_val(some_val,V_1)))
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S),hAPP_v834067052t_char(val_list_char,V_1)),hAPP_f1727192346on_val(produc899768717on_val(H),L))) ) )
=> ~ ! [E_2] :
( E_1 = throw_list_char(E_2)
=> ~ hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(Pa,Ea,S),throw_list_char(E_2)),S_1)) ) ) ) ).
fof(fact_698_WTrtBlock,axiom,
! [Pa,Ha,E,V,Ta,Ea,T] :
( hBOOL(wTrt(Pa,Ha,fun_up424764369ion_ty(E,V,hAPP_ty_option_ty(some_ty,Ta)),Ea,T))
=> hBOOL(wTrt(Pa,Ha,E,block_list_char(V,Ta,Ea),T)) ) ).
fof(fact_699_redp__redsp_ORedBlock,axiom,
! [Pa,V,Ta,U,S] : hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(redp(Pa,block_list_char(V,Ta,hAPP_v834067052t_char(val_list_char,U)),S),hAPP_v834067052t_char(val_list_char,U)),S)) ).
%----Helper facts (8)
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__Type__Oty_T,axiom,
! [X,Y] :
( ~ hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(fequal_ty,X),Y))
| X = Y ) ).
fof(help_fequal_2_1_fequal_000tc__Type__Oty_T,axiom,
! [X,Y] :
( X != Y
| hBOOL(hAPP_ty_bool(hAPP_ty_fun_ty_bool(fequal_ty,X),Y)) ) ).
fof(help_fequal_1_1_fequal_000tc__Value__Oval_T,axiom,
! [X,Y] :
( ~ hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(fequal_val,X),Y))
| X = Y ) ).
fof(help_fequal_2_1_fequal_000tc__Value__Oval_T,axiom,
! [X,Y] :
( X != Y
| hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(fequal_val,X),Y)) ) ).
%----Conjectures (3)
fof(conj_0,hypothesis,
size_s2113983095t_char(vs_1) = size_size_list_ty(ts) ).
fof(conj_1,hypothesis,
size_size_list_val(vs) = size_size_list_ty(ts) ).
fof(conj_2,conjecture,
( hBOOL(wTrt(p,h,e_1,blocks(hAPP_P767818445t_char(produc921874948t_char(vs_1),hAPP_P1392904962t_char(produc1909267824t_char(ts),hAPP_e1752110927t_char(produc1916172923t_char(vs),e)))),t))
<=> ( hBOOL(wTrt(p,h,map_up891053837har_ty(e_1,vs_1,ts),e,t))
& ? [Ts] :
( hAPP_l2006940821ion_ty(map_val_option_ty(typeof_h(h)),vs) = hAPP_l1487035934ion_ty(map_ty_option_ty(some_ty),Ts)
& hBOOL(list_all2_ty_ty(widen_2090681816t_char(p),Ts,ts)) ) ) ) ).
%------------------------------------------------------------------------------